{"text":"Question: List the prime factors of 3438343.\nAnswer: 59, 101, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/33))\/y*y*(y\/y**18)\/y*(y\/(y*y**4))**(-16) assuming y is positive.\nAnswer: y**(1552\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 279*g - 403 + 139 + 130 + 140 to the form j*g + t and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 0 - 1\/6*a**3 + 0*a**2 - a. Let m(j) = 2*j + 2*j**2 + 5*j - 7*j. Calculate s(m(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.6 - 1.2. Put -0.3, 2, f in decreasing order.\nAnswer: 2, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 209 times -11\nAnswer: -2299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1239 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -29948885.16 rounded to the nearest ten thousand?\nAnswer: -29950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3*v**2 + 12*v - 25. Let g(x) = -4*x**2 + 18*x - 38. Let s(y) = 5*g(y) - 7*t(y). Let h be s(-8). Solve 0 = -q - h - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n**2 + n**2 + n**2)*(0 + 2*n + 0) + 2*n**3 - 6*n**3 + 2*n**3 - 63190*n + 63190*n - 405*n**3 to r*n**2 + t*n**3 + s*n + m and give t.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 - 17 = -7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (610\/244)\/(99\/(-18)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92828.28 decades to years.\nAnswer: 928282.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of -p**9\/504 + 53*p**6\/60 + p**5\/20 - 12*p**2. Find the third derivative of n(c) wrt c.\nAnswer: -120*c**3 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 9452360 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d + 4*d - 2*d + 2*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 565638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -10 + 0*n**2 - 1 - 4 + 2*n**2 - 12*n. Let w be b(10). What is the third derivative of 60*a**2 - w*a**2 + 30*a**3 - 8*a**3 wrt a?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3366823022?\nAnswer: 2, 113, 14897447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c - 15 + 26 + c - 7*c - 14. Let w = 27 - 29. Calculate u(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -5*s + 90, -s - 5*x + 4*x = -25. Suppose 2*g = -3*d + s, -6*g = -2*g + 4*d - 32. Suppose -z - 777 = -g*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g - 1. Let k(o) = 14*o**2 + 3*o + 3. Calculate 3*i(j) + k(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**8\/336 + o**5\/15 - 3*o**2\/2 + 4. Let a(k) be the second derivative of t(k). What is the third derivative of a(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10976868 a multiple of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**2 + 11*u + 6. Suppose 0 = -7*n + 11*n - 24. Let t be r(n). What is the nearest to t in 3, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -40.424 and 331 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3632 = -h, 0 = -n - 2*h - 164 + 1974. Is n a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 10*q + 39677 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t + 25 = -5. Let p = -21 + 12. Let s = -8.7 - p. Which is the biggest value?  (a) t  (b) 1\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.5, 15, -0.7, 627?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 15*b + 39, -3*x - 470 + 462 = x - 2*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.028 - -2.272. Let z = g + -12.3. Let m = 10.000035 + z. Round m to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4081 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 280 and 98924?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -75 + 58 + -29 + 33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 13*v - 4. Let p be r(2). Suppose 3*y - m + 15 = y, -3*y = -m + p. Let b(a) = -5*a**3 - 6*a**2 + 9*a + 3. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 146*v**2 + 18*v - 12. Let t(r) = 294*r**2 + 35*r - 24. Let c(u) = -11*h(u) + 6*t(u). What is the units digit of c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2062 is divided by 682.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81772494?\nAnswer: 2, 3, 761, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -895.9 + 895.45305. Round o to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2817982160 and 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313592070 a multiple of 960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -4*a. Let t(l) = -29*l - 121 + 110 + 11. What is r(t(c))?\nAnswer: 116*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 - 25*s - 35. Determine b(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + (2706195\/32214)\/5. Let b = r - 12\/767. Let q = -243\/7 - b. Find the common denominator of 49\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 6 = 2*f. Let a(j) = 60*j + 55*j - 7 - 211*j + 93*j. Calculate a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 299 - 323 = -4*l, -5*l + 20 = -5*b. What is the biggest value in b, 0.5, -0.37, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 3\/6)*102. Let u = -29 - d. Calculate the remainder when 65 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.35 - 0.35. Let s = 11 + -8. Suppose 5*i + 4*n = 23 - 7, -s*i - n = -11. Put -1, 3, i, l in increasing order.\nAnswer: -1, l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 15*s**2 + 34*s - 197. Give w(15).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -1 - 2*u + 5*u - u. Let t be o(1). Let j = 711 - 707. Solve 0 = f + t - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -503, -1186, -2215, -3596, -5335, -7438?\nAnswer: -9911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 262 + 22 = 0. Let m = x - 6. Let p(u) = 28*u**2 + 6*u - 10. Let s be p(4). What is the highest common divisor of m and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f**2 + 13*f - 23*f**2 - 13*f in the form j*f + z + i*f**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -5. Suppose -k*i + 15 = 3. Let d = -132 + 130. What is the closest to 2\/3 in d, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 3:21 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -82, -332, -748, -1330, -2078, -2992?\n\"Answer: -83*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17\/22226 or -1?\nAnswer: 17\/22226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*u - 1176 = -59*u + 39*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39998 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c - 2 + 2 + (-11 + 0 - 1)*(2*c - 6*c + c).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*w + 176 = -w, -5*b - 3*w + 252 = 0. Suppose -5*s + 110 = 5*r, 0 = -5*r + 5*s + 85 - 15. Calculate the highest common divisor of b and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -226226403?\nAnswer: 226226410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 5*w**3 - 18*w**2 - 2*w - 8. Let i(l) = 14*l**3 - 53*l**2 - 6*l - 23. Let o(c) = 6*i(c) - 17*s(c). What is the remainder when 63 is divided by o(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h**2 - 3*h + 1. Let u(v) = -24*v**2 - 467*v - 1. Let i(w) = -16*w**2 - 291*w - 1. Let t(s) = -8*i(s) + 5*u(s). What is 5*r(o) - 2*t(o)?\nAnswer: 4*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -242633*q**2 + 395894 with respect to q.\nAnswer: -485266*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + -3*(-56)\/(-126). Which is the nearest to -7?  (a) 0.5  (b) -2  (c) -0.05  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -5  (b) 1\/4  (c) 2\/7  (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 49*b + 356. Suppose 0 = 4*t + l + 34, 54 = -2*t + l + 34. Determine g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -7*l**2 - 11*l. Let s be j(-2). Which is smaller: -32\/5 or s?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iikkiiinikkikukuk. What is prob of sequence nuk?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2395 times 26411?\nAnswer: -63254345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + 3401997?\nAnswer: 3402003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 67. Let u(s) be the first derivative of 3*s**2\/2 + s + 1. What is the remainder when j is divided by u(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86672 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 10:43 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*o*r**2 + 3343*o + 41754*r**4 - 3*r wrt r.\nAnswer: -8*o + 501048*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2052, 2042, 2030, 2016, 2000, 1982, 1962?\n\"Answer: -m**2 - 7*m + 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 461 - 214. Suppose -i = 5*t - y, 2*t - 4*i - 102 = -6*i. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 13849 and 13464 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 890591059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k + 2*k - 32. Let f = 94 + k. Suppose 5*j - f = 3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355459 greater than 10308299\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 570485 is divided by 189588.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 153499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -33*b**2. Let d = 149 - 20. Let c(o) = -o**3 - 35*o**2 + 71*o - 109. Let z be c(-37). Let n(a) = 130*a - d*a - z + 2. Calculate p(n(r)).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -29*m. Let c(s) = 1210*s + 1. Determine y(c(b)).\nAnswer: -35090*b - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3201 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 267*t**5 - 81029*t**3*v**3 + t**2 - 4*t*v**3 - 25913*t - v**3 + v**2 wrt t?\nAnswer: 16020*t**2 - 486174*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.4 + -10.941. Let x = v + 0.141. What is the third biggest value in x, -0.27, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17479 + 13126723\/751. Are -1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1716 + 1716. Let a be ((-86)\/(-3))\/(16\/(-120)). Let n = -4084\/19 - a. Is o not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 530 and 2120?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 282 divide 166586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 12 = 4*l. Suppose -12 = -j - l*j. Let x(w) = -w**3 + 4*w**2 + w + 1. Let t be x(j). What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 6 = 4*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 507 in -123, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + l**2 + 1 + (2 - 2 + 4*l)*(0 + 0 - 2*l) + (-982*l + 250*l + 426*l)*(-3*l + l + l).\nAnswer: 299*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180396 = 73*b - 319613 - 286811. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7291186 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15872 + -15848. Solve 3*v - 4*v + i = -5*p, -2*p - 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -54 + 52 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 889200.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from pupupupuuupup.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18519 or 18521?\nAnswer: 18519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 65532 - 65532.1369887. Let c = o - -0.137. Round c to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*1*sqrt(2541) + sqrt(2541))\/(((sqrt(140) + sqrt(140) + (-3*sqrt(140) - sqrt(140)) + sqrt(140))\/sqrt(5))\/sqrt(4)) + 5)**2 + -1.\nAnswer: 550*sqrt(3) + 9099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.88 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 657 = 637 - 1229 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6610*c = -6742*c + 5148 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((3146\/44)\/(-143))\/((22*-1)\/(-2))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -93 in -4, 2\/1415, -2\/7, 14, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 48*r - 30*r**3 - 48*r + (3*r**2 - 3*r**2 - r**2)*(2*r + 15*r + 5*r + 2).\nAnswer: -52*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g + 4*g + g + g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 3027883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 20*d - 5. Let b be m(4). Let s(o) = 20*o**2 - 159*o + 7. Let z be s(8). What is the greatest common factor of b and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1590.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180)\/sqrt(5))\/sqrt(2))\/sqrt(3)*-5)\/(-4*(-1*sqrt(231)\/sqrt(7))\/sqrt(11)).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 526155 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l + 8. Let n be 5 + 1 + -1 + 0. Let d be c(n). Solve -2*j + 10 = d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5900 - -5905. Let d = 18 - 15. Sort m, -6, d, -53.\nAnswer: -53, -6, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13\/4 - (-23)\/(-92). Solve 9*g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 = -6*o - 42. Let h = o - 2. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15834901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-1*((-3 + -1 + sqrt(208) - sqrt(208) - sqrt(208)) + -5 + (sqrt(208) - (sqrt(208) + -6*(sqrt(208) + 1))) + -5*(-2*sqrt(208) - sqrt(208)))**2.\nAnswer: -249627 + 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(110) - (1*(sqrt(110) + 2*sqrt(110) + sqrt(110)) + sqrt(110))))\/(sqrt(60)\/(sqrt(6) - sqrt(96)*5))*-1.\nAnswer: 456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/7 + 3*m**2\/7 + 6*m\/7 - 8\/7.\nAnswer: -(m - 4)*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2831 + (-3)\/6*(-12)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11637 is divided by 104.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 2*s**2 - 2*s - 3. Suppose -15 = -3*o, 3*d + 5*o = d + 31. Let c be h(d). What is the closest to 1 in 2\/9, -0.1, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3003\/(-198))\/(-91))\/((-16)\/84).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -4*s - 16, 2*s - s + 4*t = -4. Let i be 3\/s - (-10)\/(-40). Let m be i\/(8\/6*(-12)\/8). Sort 1\/7, 0, m in decreasing order.\nAnswer: m, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 422 a factor of 3107598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 872 equal to 869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 480761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 217 - 47. Suppose -3*g + 17 = -2*g. Calculate the highest common factor of f and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 115205525 (base 6) to base 4\nAnswer: 20123131331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 + 5*q**2 + 18*q - 25. Let x be v(7). Let g(y) be the first derivative of 0*y - 1\/3*y**3 + x + 0*y**2. Let w(m) = -6*m**2. Calculate g(w(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3431888 divided by -210?\nAnswer: -1715944\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 374248?\nAnswer: -1\/93562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/8 and 47\/4255.\nAnswer: 34040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 17. Let i be (1 - f)*6\/(-9). Put i, 0, 4 in decreasing order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g**2. Let l(d) = -105*d + 3. Let p(s) = -1370*s + 40. Let j(n) = -40*l(n) + 3*p(n). Give j(o(w)).\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -51 and -8.68?\nAnswer: 442.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -4\/9  (c) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1001 and 8008.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 359*u - 356*u - 49541 = 0, 0 = 11*b + 2*u - 545106. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -374 + 373. Which is the closest to q?  (a) 1\/34  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.233 + -2.233002074. What is z rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49710 divided by 7617\nAnswer: -16570\/2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -3*q**3\/5 + 11226*q**2\/5 - 2102628*q + 4196280 = 0.\nAnswer: 2, 1870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(-4) + -1 - 47926\/248. Let a = -67 - s. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 11:24 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, x: 1, s: 1, f: 2, h: 1}. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 335.\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 29*t**3\/3 - 52*t**2 + 124*t\/3 + 48 = 0?\nAnswer: -18\/29, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-11 + 5)) + (14 - 2) + (91 - 106)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 - 6)*(-3 + m + 3)*(-7 + 1 + 3) to x + a*m and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1564 is divided by 63.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 201651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i + 1. Let q(z) = -z**3 + 24*z**2 + 21*z - 15. Let h(m) = 4*d(m) - q(m). Let r be h(25). What is the highest common divisor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-184)\/(-170) + (-112)\/(-952).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32277 and 6572?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1625 and 819?\nAnswer: 102375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*r - 160 = 26. Let x be 175\/10 + r\/(-4) + -3. What is the third biggest value in 2\/5, 3\/4, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 224 = 16*w. Suppose -3*t = -t. Solve t*f - 2*f = -3*i - w, f - 18 = 4*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 0 = -4*r - 1, -3*z - 3 = 0. Let u = 0 - -5. Suppose 0*w + 5 = u*w. Sort w, 4, r in descending order.\nAnswer: 4, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -z + 3*z. Find the third derivative of 0*t**2 + 4*t**z - 20*t**5 + t**6 + 20*t**5 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 103*z**4 + 716507*z**3 + 327811388*z**2.\nAnswer: 2472*z + 4299042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 11:38 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-8)*2*(-738)\/(-205).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 36*c**3 + 5 - 34*c**3 + 3 + 22*c**4 - 1 in the form s*c**3 + z + j*c**2 + p*c**4 + n*c and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2300 - -211231213?\nAnswer: 211300113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 512\/24*3\/2. Let s be 8\/(-20) + h\/30. Factor s*r**2 + 1\/3*r**5 + 4\/3*r**3 - 4\/3*r**4 + 2\/3 - 5\/3*r.\nAnswer: (r - 2)*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 3*z**5\/20 - 23*z**4\/4 + 143*z**3\/2 - 363*z**2\/2 - z + 1. Factor v(s).\nAnswer: 3*(s - 11)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + sqrt(1100) + 0) + -6*(sqrt(1100) - (sqrt(1100) + -1 + 1 + sqrt(1100))))**2.\nAnswer: -540*sqrt(11) + 9981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -279009 * -5\nAnswer: 1395045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*q, -4 = -2*x + 2*q + 2*q. Find the second derivative of 4*d**4 + 7*d**3 - 7*d**3 - d + 2*d**x wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3964 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, u: 4, w: 2, c: 1}. What is prob of sequence wui?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24058\/3 - 7976. Is m at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 8*k**3 + 5*k**2 - 5. Let n = -52 + 51. Let s be (4 + 0)*n\/(-2). Let j(o) = -2*o**2 - 9*o**3 + 17 - 6*o**s - 9 - 3*o**3. Determine 8*f(m) + 5*j(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 1:15 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -20992 and -146950\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1171 - -1065.3. What is g rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d = 4*u + 23*d - 144, -2*u + 50 = -4*d. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2134 divided by 33\nAnswer: -194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 6)*(-5*y**4 + 3*y**4 + 3*y**4) + (-y**4 - 2 + 2)*(5 + 2 - 6).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 6:02 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*a = 33, -43*f + 46*f - 23 = 4*a. Solve y = 5*n + f, 5*n + y + 7 = -4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -79, -177, -277, -379, -483, -589, -697?\n\"Answer: -l**2 - 95*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.0701883 centuries?\nAnswer: 7.01883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f. Let r(q) be the second derivative of 1\/6*q**3 - 2*q**4 + 2*q + 0*q**2 + 99. Determine a(r(w)).\nAnswer: 48*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17893923, 17893926, 17893941, 17893974, 17894031?\nAnswer: 17894118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339700382?\nAnswer: 2, 7, 1499, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*a**2 + 20*a - 1128.\nAnswer: 4*(a - 6)*(7*a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 353*p - 351*p + 209 - 232.\nAnswer: 2*p - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f + 3. Suppose -14*t = -9*t. Let r be p(t). Calculate the remainder when 2 is divided by (-1)\/r + (-49)\/(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10214 is divided by 2040?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 3333.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 20, 58, 110, 176, 256?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(34) - (sqrt(34) - sqrt(102)\/sqrt(3)))*6)\/((sqrt(84)\/sqrt(6))\/sqrt(7))*1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 1347*m**2 - 28*m + 1. Let r(p) = p**2 - 4*p. Determine 2*h(s) - 14*r(s).\nAnswer: 2680*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*d + 31 + 10 = 0, 0 = -5*q + d - 128. Suppose -2*y + 100 = 4*v, -7*y = -9*y - 5*v + 99. Let b = y - q. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -888 at least as big as -888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23887 is divided by 860?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (3 + -6) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 2*f**3\/5 + 2298*f**2\/5 = 0.\nAnswer: -1149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.129  (b) 5\/2  (c) 33.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1199 + -688. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(2\/31)*q\/(q*q**(-5)\/q*q))\/(q*q*q**(23\/3))**(-2\/41) assuming q is positive.\nAnswer: q**(24922\/3813)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.421 - 0.38. Let v = -0.041 + s. Let m = 0.4 + 2.6. Put v, m, -5 in decreasing order.\nAnswer: m, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 4*w = 16, 5*p - 12 = 2*w - 5*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-136)\/(-200) + (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1\/3, -1190, -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -6*c**2 + 11*c + 11. Let f = 33 - 11. Let w(u) = u**2 - 2*u - 2. What is f*w(r) + 4*b(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 13*y - 486 = 0. Suppose -8*p + 5 + y = 0. Solve -p*t + 7 = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1453\/15 + -97. Which is the second biggest value?  (a) -0.2  (b) 1\/8  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 151863787 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 17\/3*m + 16\/3*m**2 - 7\/3*m**3 - 2 = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z + 3*z**3 + 4*z - 4*z in the form u + f*z + b*z**3 + a*z**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 4*i + 41*i**2 - 47*i**2 + 15 - 11. Let m = 2342 - 2338. Let l(z) be the third derivative of -z**4\/24 - z**3\/6 - z**2. Calculate m*l(f) + u(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -180335, -180343, -180363, -180395?\n\"Answer: -6*g**2 + 10*g - 180339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -10 - -3 - (7 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -482454 divided by -7658\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-8) - 1 - (656\/320 - 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6902*u - 35*u**4 + 6902*u + (3*u - 4*u + 3*u)*(-2*u**3 + 3*u - 3*u).\nAnswer: -39*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 827374 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 2*w. Let r be d(-2). Let b = r + -8. Is (-726)\/b + (-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + -15 + -7 + 6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.28 minus -0.089241?\nAnswer: -0.190759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-3)*((-2)\/(-18))\/((-133)\/(-266))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g + 1. Suppose 5*p + i = 367, p + 5*i - 375 = -4*p. Let a = 75 - p. Calculate m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -278*p - 151. Is 112 a factor of z(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -104170 + 187639. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -0*x + 10. Let 3*i**x - i**2 + 4*i**4 - 4*i**2 - 3*i**4 + 1 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -367, -384, -413, -454, -507?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 4*u + 83, 28*u = 5*t + 25*u - 81 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -493, -937, -1387, -1843, -2305?\n\"Answer: -3*c**2 - 435*c - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27426, -28257, -29092, -29931, -30774, -31621?\nAnswer: -32472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/64*12 - (-21)\/2. Calculate the common denominator of ((k\/60)\/(12\/(-95)))\/1 and 19\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018486673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19961*w**4 - 85466*w.\nAnswer: 239532*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -1023\/26, -1, -2, 2 in increasing order.\nAnswer: -1023\/26, -2, -1, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1600) + sqrt(1600)*3 - sqrt(1600))\/(sqrt(2) - sqrt(648)\/sqrt(9)) + -2.\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -327575 > -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/221 and 46\/169?\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 77 = -t. Let d be (t\/(-20))\/(-6)*-5 + 4. Solve 2*p = -d*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s - 12*h - 4*h = 5, -s + 8*h - 19*h + 8*h - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -5. Which is the closest to -2?  (a) 1\/4  (b) g  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**2. Let c(u) = 2*u - 40087. Calculate c(k(s)).\nAnswer: 4*s**2 - 40087","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 144 + 27)*(2*w + w - 2*w)*(-8 + 31 - 12).\nAnswer: 1848*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1872))**2 + 5)*5.\nAnswer: 120*sqrt(13) + 9390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2f1ed (base 16) to base 12\nAnswer: -93839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**3 - 25*c**2 - 416*c + 88. Calculate v(-9).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-72)*3)\/(20\/(-30)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3754104 divided by -8.\nAnswer: -469263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.766825272 to four decimal places.\nAnswer: -8.7668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2483*b**2 + 3960*b?\nAnswer: -4966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 61442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -7*x**2 - 35*x + 3. Let z(j) = 2*j**2 + 8*j - 6. Let c(p) = m(p) + 3*z(p). Suppose -4*g = -2*s - 20, 7*s - 4*s = -g - 30. What is c(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*g - 3543586 = 356486. List the prime factors of g.\nAnswer: 2, 11, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y + 630 = -45. Let t = y + 50. What is the greatest common factor of t and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 35 - 36. Let h(d) = 4*d**2 + 2*d + 1. Let v be h(o). Does 2 divide v*(25\/15 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -v + 148, -1 = -v + 2. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**3 + 6*n**2 + 4*n + 1. Let u be q(-4). Let a = -36 - u. Let t be (22\/8)\/((-8)\/(-256)). What is the highest common factor of t and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2609083 litres in millilitres?\nAnswer: 260.9083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 23. Let g = -27 + 17. Let z be w(g). Let p(x) = 11*x - z*x + 4*x. Let r(m) = -11*m. Give p(r(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17622 and 307644876.\nAnswer: 307644876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*f*g*n**3 + 2*f*g*n**2 + 3*f*k**2*n**3 - f*n + g**3*k*n**2 - g**3*k + g**3*n**3 - 2*k**2*n**2 wrt n.\nAnswer: -66*f*g + 18*f*k**2 + 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37855350257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w - 4*w - 2*w - w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112106115.\nAnswer: 3, 5, 11, 37, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 376 and 226766728.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -11, -3, 0.5, 4 in descending order.\nAnswer: 14, 4, 0.5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 10. Sort -1\/6, x, -0.4 in descending order.\nAnswer: -1\/6, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5757000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 1039546.\nAnswer: 6237276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230925*g**3\/2 + 230924*g**2 + 230921*g\/2 - 1 = 0 for g.\nAnswer: -1, 2\/230925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (4 - 5) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 150 - 77 + 114*p**2 + 47 wrt p.\nAnswer: 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 18 = -19*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1478855886?\nAnswer: 2, 3, 23, 37, 59, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, h: 3}. What is prob of picking 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 - 653121*g - 1306230.\nAnswer: -3*(g + 2)*(g + 217705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196*b = -203*b + 1078. Find the common denominator of (-24)\/4 - (-875)\/b and -50\/3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/((-15)\/(-6)) - -3. Let s = 1 + d. What is the first derivative of -s - n**3 - 2*n + 2*n wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2*k**3\/19 - 13232*k**2\/19 - 11050154*k\/19 - 2478363396\/19 = 0.\nAnswer: -5682, -467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5 = 2*u, 4*b = 4*u - 12. Let z = -31 + 76. Let c = b + z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 159230 less than 796151\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0279 - 0.9721. What is the biggest value in -0.3, 30, p?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1430, 1429, 1428?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a millennium in years?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -355 + 355.534. What is l rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -60272, -60270, -60274, -60290, -60324, -60382, -60470, -60594?\n\"Answer: -o**3 + 3*o**2 - 60274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -31. Let o = l - 7. What is the common denominator of -11\/18 and (o - 90\/(-28)) + 1?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 35*x**2 - 50*x + 12. Let z be u(-34). Let b = 564 - z. Which is bigger: 18 or b?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -54 + -897?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 8:24 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -272 divided by 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by 184\nAnswer: -17\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*x + 3*x + 5*x + 68 - 22*x.\nAnswer: -2*x + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -10*i**3 + 173*i**2 - 44*i - 127. Let j be k(17). Let l = 4 + -6. Which is the closest to -2?  (a) l  (b) j  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 608 or 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1221 - 1361 = 105*m - 587 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -1 - 3. Let m(p) = p**2 - 2. Calculate the remainder when m(3) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2 + 6 - 4*q - 8 - 1. Let k(y) = 7*y + 3. Let j(w) = -w. Let g(o) = -6*j(o) + k(o). Calculate 2*g(p) + 7*z(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 400 and 22320?\nAnswer: 111600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 8*y**2 - 4*y + 3. Let k be j(2). Differentiate -k*l**4 + 47*l**4 - 30 - 10 with respect to l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 42*m**3 + 68*m**2 + 122630 with respect to m.\nAnswer: 126*m**2 + 136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + m - 18 = 0. Suppose 5*v - 92 = -2. Calculate the least common multiple of m and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23)\/(-2)*(-402)\/(-4623)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 243272.6mm?\nAnswer: 24327.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/2))**35\/(((m*m**7*m)\/m*m)\/m**(-5\/2))*(m**(1\/2))**(15\/4)*(m\/(m*m**(2\/15)))\/m**(-2\/7) assuming m is positive.\nAnswer: m**(6743\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 243029 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, j: 3, p: 2, n: 2, h: 4, w: 1}. Give prob of sequence pjn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1747903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, 0.9, -3 in decreasing order.\nAnswer: 0.9, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2*h - 60, t = -3*h - 2*h + 22. What is the greatest common factor of 352 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 467*p + 6251 + 10124 + 938 = -4169 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3619271 or 1?\nAnswer: -2\/3619271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2616 and 169623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/(-3)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/140676 and -41\/647233.\nAnswer: 147569124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 13*t**5\/4 - t**4\/12 - 15*t**2\/2 + 60*t + 2. What is the third derivative of g(y) wrt y?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 4) + (15 - 8)*738. Let j(h) = d - 18*h - 5162. Let x(z) = z**2. Give j(x(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m + 1. Let n(h) = -h. Give i(l) - 3*n(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 134232 a multiple of 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/58835 and 61\/988428.\nAnswer: 4942140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18134*n**2 - 18152*n**2 - 9 + 9.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1515\/4, 2\/5, 4?\nAnswer: -1515\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.57 in -16\/3, -1, 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12 + 10 - 2550*k**4 - 2*k**2 + 2110*k**4 wrt k.\nAnswer: -10560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10043 (base 9) in base 14?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2)**(-37))**9 assuming r is positive.\nAnswer: r**(-666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -7\/14650 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115696 = 10*x + 27786. List the prime factors of x.\nAnswer: 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 6\/(16 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266*u**3 - 739*u**3 - 719*u**3.\nAnswer: -1724*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express f**4 - 4 - 2*f**3 + 121*f - f**2 + 4*f**3 - 121*f in the form x + a*f + t*f**4 + g*f**2 + p*f**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -62170.7 * 68\nAnswer: -4227607.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 at most as big as 283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 6*k + 6)*(3*k + 0*k + k)*((-3*k + 0*k + 5*k)*(1 - 2 + 2) - 3*k + 2*k + 4*k).\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-1)\/8*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2545835?\nAnswer: 5, 17, 61, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 + 11 = -9*j. Solve 12 = j*h - 3*o - 1, -3*h + 3*o + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -29. Let l = -12.00000048 - y. What is l rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298 is divided by 192?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*u + 3*u + 2*x + 29, 0 = -u + 4*x - 5. Suppose 5*f + 26 = 3*s - 29, s = -2*f + 11. Solve -s = u*k - 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1643 + 109*q**3 - 1643 - 81*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 12731535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(2\/13)*b*b\/(b**(10\/7)\/b*b) assuming b is positive.\nAnswer: b**(157\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.1 - 1.5. Let l = -0.600027 + h. Round l to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*x + v, 4*x = -4*v - 9 + 5. Solve 0 = -x*a + 10*l - 9*l - 13, -a - 2*l = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1041 - 4?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/1862 and 185\/5586?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - 2. Let f(b) = -b**2 + 44. Let o be f(s). What is the common denominator of (-1 - 14\/o) + 0 and -35\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + -3 - (948 - 956)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 6:11 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/(-30) - 6\/(-18). Let r = -0.2 - -0.1. Which is bigger: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 14  (c) 23.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 23*f - 2*f**2 - 23*f. Let g(v) = 45*v**2 + 16*v - 4. Let s(i) = 2*i**2 + 4*i - 1. Let k(a) = g(a) - 4*s(a). Determine k(q(o)).\nAnswer: 148*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5625 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 8*h - 14. Determine b(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159, -317, -475?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17214, 24895, 32576?\nAnswer: 40257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4001600, 4001424, 4001248, 4001072?\nAnswer: 4000896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 11468?\nAnswer: 11466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 3*x + 16 + 57, -2*x = -3*o + 17. Let k = x - -22. Is 7\/((-3)\/k*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b\/(((b*b**36)\/b)\/b))))\/b**3 assuming b is positive.\nAnswer: b**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 less than 2591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 3 + 1)*(k + 3 - 3) + (-265 + 265 - 34*k)*(-2 + 4 + 0) to the form i*k + g and give i.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.16545889 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 4*g**3. Let k = 18 - 17. Let y(f) = -f**3. Calculate k*j(a) + 3*y(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 12:29 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 85, 11.5 in descending order.\nAnswer: 85, 11.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188820?\nAnswer: 2, 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h + 43*u - 44*u + 18, 0 = -3*h - 5*u - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/o**(-2\/5))*o*o)**(-2\/3)\/(o**(1\/5)\/(o\/(o**(-5)\/o*o))))**(2\/25) assuming o is positive.\nAnswer: o**(54\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0175237ml to litres.\nAnswer: 0.0000175237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1530 and 3535380?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37626 - 4663.\nAnswer: -42289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + 104 - 114 = -5*a, -2*w - 5*a = -7*w - 17 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011111000110 - -110100?\nAnswer: 1001011111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -6.3. Let z be (-4)\/(-18) + (-7)\/(-9). Let y be (-2)\/(-15)*(-5)\/3. What is the nearest to -1\/2 in z, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 4, -2\/7, 570, -1, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 24*b**2 - 60*b - 49. Let o be n(21). Solve -r - j = 0, 3*j - o = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117)*-2*-5))\/(sqrt(9) - 4*sqrt(36)\/sqrt(4)).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47 - o**2 + 26 - 9*o - 49.\nAnswer: -o**2 - 9*o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*l - 8. Let s = -8.7 - -3.7. Which is the third biggest value?  (a) s  (b) 0  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 536 is divided by 82\/(-369) - (-1390)\/18.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -1\/21, -3.\nAnswer: -3, -4\/7, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f**2 - 121*f - 93. Let c be h(21). Solve c = -30*y + 34*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**5\/30 + 4*h**4\/3 - 64*h**3\/3 - 13*h**2. Factor g(u).\nAnswer: -2*(u - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 545641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 55813001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 0*n - 1\/60*n**5 + 0 - 1\/24*n**4 - 10*n**2 - 1\/6*n**3. Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence slhj when four letters picked without replacement from {d: 3, j: 1, p: 3, l: 2, s: 3, h: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 33*i - 32. What is the least common multiple of j(8) and 5?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, i: 4, w: 3, n: 6}. What is prob of sequence wnr?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -116, -234, -352, -470?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/8, -4, 2\/3, -502, -2\/17, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 22, 27 in descending order.\nAnswer: 27, 22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence naaa when four letters picked without replacement from ananfafffaffff.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(2400) - sqrt(2400))*6 - sqrt(2400))\/(-2*(-1*sqrt(288) - sqrt(288))) + -5.\nAnswer: -95*sqrt(3)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a factor of 1284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-57 - (-29 - -1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -359*p - 2160. What is y(-11)?\nAnswer: 1789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(4\/(-16) + (-42)\/(-72)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3564, 2930, 2294, 1656?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1719 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1832 divided by -916?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 9. Let h(i) = -i**2 - i + 1. Let p(l) = l**3 + 5*l**2 + 5*l + 6. Let b(v) = 4*h(v) + p(v). Let x be b(k). Solve -a - a = x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -443 + 14?\nAnswer: -42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xuiuixuxx. What is prob of sequence uxux?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 2.23. Let z = c + -0.37. Let m = 112 - 112.1. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-2 - 6 - -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 27*b**2 + 49*b - 18. Let u(z) = 15*z**2 + 25*z - 9. What is 7*u(v) - 4*x(v)?\nAnswer: -3*v**2 - 21*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1.5  (b) 0.4  (c) -23.23  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 2 + 3*c + 4*c - 2*c. Let v be f(3). What is the greatest common divisor of 220 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 154, 314, 474, 634, 794?\n\"Answer: 160*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q + 22*q - 44*q - q**3 + 17*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 38512.53 tonnes in nanograms?\nAnswer: 38512530000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49812727 is divided by 232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 2, 2787, 0, -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589073 is divided by 31002?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 - ((-23)\/(-46) + (-19)\/(-2)). List the prime factors of ((-84)\/(-42))\/((r\/(-138))\/5).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - -5) + (-16422)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17b - 2?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 6*p - 8. Give n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 19*o - 505 = 0, -5*p + 86809*o + 115 = 86804*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -750*f**3 + f**2 + f. Let a be j(-2). Let t = a + -3321. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3031101 (base 4) to base 8.\nAnswer: -31521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -13385?\nAnswer: 1338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22899*b + 25384.\nAnswer: -22899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 0*p**2 + 0*p - 13 + 2\/3*p**3. Let q(u) = 29*u. Determine q(h(w)).\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 1 + 8 = -7*l, -73*x = -77*x - l + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2 = 23. Let c(t) = 4 + 1 + 0 + 1 + 17*t + 5*t**2. What is the hundreds digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 157 + -3?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395*w + 147*w = -161*w - 87 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -204 times 0.25?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/5 - 36\/(-30). Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3311123 (base 4) in base 16?\nAnswer: 3d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 170954*a + 170950*a = 0, 2*w - 4*a = -24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 - -11 - (13 + -14) - (7 - (3 + -6))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 + 9*m**2 + 2*m**3 - 16*m**2 + 53*m**2 + 60*m**2.\nAnswer: 2*m**3 + 105*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -17  (b) -5  (c) 4.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2*t = -0*t, o - t - 2 = 0. Let v be -3 - o\/(-6)*(-13 - 2). Solve v*b = p + 6*b + 25, 2*b = 3*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 67 + 3 = 0. Suppose 0 = 2*g + 3*k - 3, -5*g + c = -0*k - k. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/(-546)*2\/16. Let c = -201\/728 + k. Put -5, c, 0.07, -0.5 in increasing order.\nAnswer: -5, -0.5, c, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-6*((-4 + -4*(sqrt(200) + 2*sqrt(200)) + 1)**2 + -1).\nAnswer: 12960*sqrt(2) + 518544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -5.26. Let y = 0.26 - k. Which is the closest to y?  (a) 1\/2  (b) 0.1  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 12 + 7\/3*f**3 + 1\/4*f**4 + 2*f**2 - f. Does 8 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r*v*w + 4*r*v - 5*r + v*w - 8*v with respect to w.\nAnswer: -r*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -636 by -159.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 5:08 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*s = 38*s + 32. Sort s, -9, -5.\nAnswer: -9, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10\/11 - 8\/33. Let r = -2.3 + 1.9. Which is the nearest to -2?  (a) r  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -19, -1.9, 1\/8, -373, -1\/40?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2199667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3 = -s. Let y = s - 3. Suppose -5*n - 1 = v, y*n + n = v + 1. Solve n = -5*b - 0 - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 16 = -4*w + 3*w, 3*w = -5*v + 28. What are the prime factors of (2 - w)*6\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - -4*1\/(-2). Let d be a\/(-5)*-3*-15. Solve u + 4*u - 4*z - d = 0, -2*z = -4*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from {k: 3, o: 1, a: 1, d: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - (-64 + 25)) + -21 - (-1 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 + 19*y + 3. Let r be f(-8). Let q be 12\/3*51\/(-6). Let g = r - q. Calculate the highest common factor of g and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/275  (b) 2  (c) 0.5  (d) -2  (e) -6  (f) -7294\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 3*l = 35, 2*g + 3 = -3*l - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 352400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 (base 10) in base 13?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1546 + 0?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*t + 28*t + 26*t + 31*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/(-170)*-12*4*10\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1666 is divided by 412?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w = 10*w + 30. Let a(j) = -10*j**2 + 49*j + 7. Let m be a(w). Let -2\/7*u**m - 4\/7 + 6\/7*u = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 3*y - 11. Calculate k(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 7:09 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4177636249 and 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6713604 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -201 + 1042?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uvvvuuvvvvujvjh. Give prob of sequence hjuj.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 468252272*f**3 - 1025551864*f**2?\nAnswer: 2809513632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2144 and 748792.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 1 + -27)*4. Let r = o - -292\/3. Factor 1\/3*a**2 - 4\/3*a + r.\nAnswer: (a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from {q: 4, z: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8 + 233*c - 3 - 238*c - 20*c**5 wrt c?\nAnswer: -400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/(-3) - 12\/(-18). Let h(c) = -2*c**2 - 2*c - 1. Let b be h(f). Let o be 1\/(-5) - 1\/b. Solve -2*a = -o - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 337536965 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9387*c**2 - 11171*c**2 + 18803*c**2 + (-2*c + 3*c - 3*c)*(-c + 3*c + 0*c).\nAnswer: -1759*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k = 12. Suppose 2*i + 46 = 54. Suppose -4*j = i, -j - 7 = -4*r - 2*j. Solve -3*d + 30 = -0*b - k*b, -b - 15 = -r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (85\/(-28))\/(-1) + -4. Let l = -5\/7 - m. Which is smaller: -0.01 or l?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 146601*p - 146601*p + 0*p**2 - 8*p**2.\nAnswer: 2*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Simplify a**1\/(a*a\/(a\/(a*a**10))) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -84736 by 42368.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 0*q - t = -24, q + 3*t + 24 = 0. Let c = q - -25. Let f be 2\/(-18)*-3 + (-11)\/(-3). Solve f*h - 9 = -c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20782084 less than -0.49?\nAnswer: -20782084.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(10)\/sqrt(2) - sqrt(200)\/sqrt(10))*5.\nAnswer: -5*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, g: 3, y: 4, w: 1, d: 1, i: 2}. Give prob of sequence wid.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 8*c - 3. Let s(n) = 43*n**3 - n**2 + n + 1. What are the prime factors of s(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*x**2 + x**2 - 6*x**2 + (0*x - x + 0*x)*(0*x + 6*x - 4*x))*(0 + 0 - 2*x) - 2*x**3 - x + x.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2512019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g**3 - g**5 - 6*g**3 - 12*g**3 - 3*g**5 + 6*g**5 + 0*g**5 + (1 - 1 - 2*g**2)*(3*g**2 + 2*g**3 - 3*g**2) - g**5 + g**5 - g**5.\nAnswer: -3*g**5 - 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = -4*t - 89, -45*t + 20*t + 23*t - 29 = -3*n + 10 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1  (b) 5  (c) 21046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-5)\/(-7) + (-264)\/56?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-12)\/(-9))\/((-4)\/(-6)). Put 0, -1, -4, t in descending order.\nAnswer: t, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ttrrt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*f = 68*f + 148. Suppose f*g = 39*g - 240. Suppose -3*t + 6 = -g. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1142.3 + -425447482.\nAnswer: -425448624.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18873, -19144, -19601, -20250, -21097?\n\"Answer: -y**3 - 87*y**2 - 3*y - 18782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -o**5\/6 - 25*o**4\/6 - 57*o**3\/2 - 227*o**2\/6 + 86*o\/3 + 42 = 0.\nAnswer: -14, -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9037109, 0.4, -0.1?\nAnswer: 9037109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/1124 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/5 + 18*p**2\/5.\nAnswer: -2*p**2*(p - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 7)*(4*v**2 + 2*v - 2*v)*(-20*v**2 + 6*v**2 - 5*v**2).\nAnswer: 456*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, n: 1}. What is prob of sequence in?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*k + 591 = -1089 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 2*f - 35, -u = 3*u + 4*f - 40. Let c = u - 14. Let g = c - -5. Let p(w) = 2*w**2 + 5*w - 4. What is p(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*a = -3*h + 17, 5*h - 4*a = -28. Let r = h - -8. Solve r = -4*y + y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 4*g - 51 = a, -5*a = -5*g - 50. Let f be ((-66)\/(-12))\/(1\/6). What is the greatest common divisor of a and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5 and 397332235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 3610?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13941238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**3 - 3*u**2 + 3*u. Let x = -4 + 1. Let n(c) be the third derivative of -c**6\/24 - 7*c**5\/60 + 7*c**4\/24 + 52*c**2. What is x*n(g) + 7*l(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 129876738*i**4 - 78807993 wrt i.\nAnswer: 519506952*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 + 19*v + 14. Suppose -6*r - 27 - 33 = 0. Let a be z(r). What is the closest to a in -0.4, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.5 * -309\nAnswer: 772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39 + -39. Suppose 4 = 4*g + v, 3*g - 2*v + 8 = 5*g. Let k be 2\/(-6)*(g - 15). Solve o = -4*d + i - 19, -2*d - d = -k*i + 27 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/6)\/((-225)\/(-20)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38805 is divided by 6447?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-498)\/(-51)) + (80 - 41) + -25?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (1 - 2 - (-1 - -3)) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2179728810 to the nearest integer?\nAnswer: 46688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5037*b - 1256*b - 1236*b - 1315*b - 1234*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -1\/14*p**7 + 1\/2*p**4 - 3\/2*p**2 - 1\/10*p**6 - 1\/2*p**3 + 0 - 2*p + 3\/10*p**5. Solve z(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 153 divided by 577312\nAnswer: 153\/577312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w - 5. Let y be q(-4). Suppose -23 = -15*h + 52. Sort h, 2\/3, -8, y in decreasing order.\nAnswer: h, 2\/3, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.158726 rounded to 4 decimal places?\nAnswer: -0.1587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccuuczuucjy. Give prob of picking 1 z, 1 c, 1 y, and 1 u.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-1) + 92\/(-8). Let r = -65\/6 - b. Let g = 0.09 - -4.91. What is the nearest to -0.1 in -0.3, g, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77940000 rounded to the nearest one million?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68013 and 5643.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 11:33 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47039877, -7, 1, -2 in ascending order.\nAnswer: -7, -2, 1, 47039877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 - 214 = -4*g. Suppose 5*s - 43 = 2*o - o, -4*o - 3*s - 172 = 0. Let c = 60 + o. What is the remainder when g is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7 + (2\/1)\/(-1). Let n be (8\/52)\/(-2) - (-316)\/52. Suppose 0 = -j*p + 2*p + n. Solve 3*b - 3 = -4*z + 6, -4*b = -p*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0*j = 24. Suppose -h + 2*h - 2*k - j = 0, 5*h = -5*k + 45. What is the remainder when (4 + -1)\/((-9)\/(-120)) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -109 - -113. Suppose -o*z = -140 - 920. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2979672 - 4929272. What is l rounded to the nearest ten thousand?\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7402493585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*b + 4, -2*g + 2*b - 10 = -2*b. Calculate the greatest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h - 207. Let s be b(44). Solve 15*n = s - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-8) + (-83 - 3813\/(-124))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124780 is divided by 176?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 28*v - 1. Let r(w) = w**2 - w - 1. What is r(x) - t(x)?\nAnswer: 2*x**2 + 27*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**3\/5 + 196*j**2\/5 + 1328*j\/5 - 1664 = 0.\nAnswer: -10, 4, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - t = 2, 2*q - 8*t + 4 = -10*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1922 + 1911 + 1920 - 5753 - 7*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 23297 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -16449*u. Let l(m) = 92*m - 2. Calculate l(a(q)).\nAnswer: -1513308*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-1 - 14) + 34 + -24 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 147308 divided by 36827\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1203400396?\nAnswer: 2, 11, 983, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1197855621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20409?\nAnswer: 3, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -i + 4, -w - 5*i = 89. Let u = -11 - w. Suppose 3*m - 19 = -5*f + 4, -4*m = 2*f - 40. What is the greatest common factor of u and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -8*t**3 - 7. Let b be (-56)\/21*18\/(-8). Let a(s) = 7*s**3 + 6. Calculate b*a(y) + 5*d(y).\nAnswer: 2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {d: 16, a: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -51  (b) -2\/15  (c) -1  (d) 0.4  (e) 344  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-228)\/9)\/(5\/(-240)). Suppose 4*k - 6 - 10 = 0. Suppose k*c - l = -220. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 597177 or 597234?\nAnswer: 597234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 2. Let a = 3 - 3. Suppose s = -5*r - 5 - a, 0 = 4*s + 4*r + 4. Suppose s = 2*f - 5 - 5. Calculate v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13207207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 132 - 20. Suppose 0 = r - 421 + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*q + 1 = -d, -3*d + 5 = 5*q. Suppose d*g = -3*g - 3. Which is greater: 3\/7 or g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d\/d**(-17)*d)\/d)*(d\/(d**6*d))\/d)\/(d\/(d\/d**12)*((d**(3\/2)\/d)\/d)\/d))**(-11) assuming d is positive.\nAnswer: d**(759\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(((-16)\/(-576))\/(2\/(-6))). Let g(a) = 5*a + 66. Give g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 9*r + 15. Determine u(10).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26 + 16*t**2 + 78*t**3 - 6*t**2 - 10*t**2 wrt t?\nAnswer: 234*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 8:23 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/100 and 119\/310.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 7*m**2 + m + 8. Let k(u) = -28*u - 203. Let q be k(-7). What is t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*z = 1, 5*z + 25 - 15 = -m. Let n(x) = -9*x + 11. Let s(o) = -5*o + 5. Determine m*s(u) + 3*n(u).\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {e: 3, q: 1, y: 2, d: 10, m: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17332.\nAnswer: 2, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(3\/5)\/s*s))**(-2\/35))**16 assuming s is positive.\nAnswer: s**(96\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6.5 - 4296627\nAnswer: -4296620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3895004 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5\/2)*c**(-3\/4) assuming c is positive.\nAnswer: c**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**4\/5 - 24*t**3\/5 - 38*t**2\/5 + 24*t\/5 + 8 = 0.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1867337804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 - 158 = -75*u + 107 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 482*241.59\nAnswer: 116446.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 825.48 * -25.\nAnswer: -20637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - u + 5*v = 23, 0 = -3*u - v - 17. Let x = 8 + u. Suppose 55 = 5*j - 5*l, l = -x*j + 6*l + 25. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*g - 8*g**2 + 0 - 2 + 0 + 3*g**3 - 7*g - g**2 in the form u*g**3 + j*g + c*g**2 + p and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (1 - 6)\/(-5). Let g be (i + 0)*9\/(-36). Suppose -3*y - 21 = 3*v, 4*v = -g*y + 2*y + 38. Which is greater: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -18733 and 2.\nAnswer: -18731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/263625?\nAnswer: -2\/263625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -114 - -119. Suppose 2*t = 1 + 1, -o*t = b + 93695. Round b to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11116155*g**3*p**2 - 16*g**3*p + g**2*p**2 + g**2 - 199*p - 4 wrt p.\nAnswer: -22232310*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s - 5*y - 71, 28 = 11*s + 3*y + 227 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 9*l**3 + 15*l**2 + 11*l + 2. Let i(f) = 4*f + 7. Let g be i(1). Let z(r) = 5*r**3 + 8*r**2 + 6*r + 1. What is g*z(w) - 6*c(w)?\nAnswer: w**3 - 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -526?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.22 and 166.\nAnswer: 165.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from {d: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2*i = i + 11, -4*i - 20 = 0. Let p be 1*(-276)\/(w - -4). What is p rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4610\/35 + (-2)\/(-7). Suppose 5*n + 6*h = 2*h + 343, -2*n = -h - w. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -83.1 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29275 + 29152. Which is the closest to 0?  (a) 0.3  (b) g  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2026 + -820. What are the prime factors of 2 - 5\/((-30)\/i)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2046 + 2114. Calculate the highest common divisor of j and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -77.\nAnswer: 8\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {x: 2, m: 1, h: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-3))\/(2\/(-21)). Let y be (-17)\/((-833)\/28) - 10\/s. Factor 4\/5*a**4 + 3\/5*a**5 + 0 + 0*a**y + 0*a + 1\/5*a**3.\nAnswer: a**3*(a + 1)*(3*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 1 - 7 = 0. Suppose 0*k + 51 = q*k. Calculate the remainder when 49 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.32?  (a) -32  (b) 26.578  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 2\/7, -1\/2, 4\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 118\/7 + -965\/56. Let y(l) = -3*l - 2. Let i be y(-1). Suppose -2*s - 3 = -3*n - 2*n, 0 = s - i. Is j at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/13268 and 95\/8.\nAnswer: 26536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3149347985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3163 or 3161?\nAnswer: 3163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3366079 is divided by 374008.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -740716308?\nAnswer: -740716312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 0 + -9 + 18 + 7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -163741 - -285864. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 851 = 2*s - 3*a + 2*a, 1260 = 3*s + 4*a. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -7. Let o = 1.9 + -1.8. Which is the closest to o?  (a) -2  (b) t  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (6 - 3) - (-6 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.06 and -392969?\nAnswer: 392969.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - 2*s + 0*s)*(9 + 82 + 2)*(7 - 9 + 12) to the form i*s + v and give i.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2384\/7 + 76285\/224. What is the common denominator of u and -101\/588?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73479022?\nAnswer: 2, 36739511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 488339298 < 488339298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kfmkfszs. Give prob of sequence sf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 300848, 300859, 300870, 300881?\nAnswer: 300892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 5. Let g = n - -8. Let u = 7 - g. Solve -u*t - 2 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 2*k - 11. Let g be t(5). Suppose -f + 5*x + 42 + 45 = 0, -5*f + g*x + 498 = 0. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14751\/22350)\/(22\/10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 158 and -0.1.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x - 15 = 0. Let l(b) = 3*b**3 + 8*b**2 + 8*b - 5. Let t(k) = 7762*k + 2 + 2*k**3 - 7765*k - 3*k**2 - 3*k**3. Determine x*l(q) + 8*t(q).\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(1\/5)*d))\/d**(-9))**48 assuming d is positive.\nAnswer: d**(1872\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 5  (c) 0.3  (d) -0.684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -a38 (base 14) in base 5?\nAnswer: -31020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/1512 and 52\/(-54)*(2\/6)\/(252\/1512)?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o - 2*l = 4 + 6, -4*o + 22*l - 839 = -1177 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14632629712 - -0.13.\nAnswer: 14632629712.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*v + 74*v = -83*v - 600 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 255\/4 - 63. Let w = -9 + 19. Suppose 4*m = -m + w. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0343572 millimeters to centimeters.\nAnswer: 0.00343572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 32 = -q. Let o = q - -10. Suppose w - n + 6 = 5, 3*w = 4*n - 4. Solve -2*j + j - o = w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 4  (c) 1\/2  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.325 + -0.325. Let p = -0.3 - 0.2. What is the nearest to 1 in p, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 5*u - 33. Let o be i(7). Solve 0 = -4*m + 2*k - 8, o*m + 4 = -2*k + 7*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 17, -5 in descending order.\nAnswer: 17, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4252 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -215 in 2\/19, 2, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*n - 122 = 0. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -8*z + 52. Let f(k) = -6*k + 40. Let y(q) = -13*f(q) + 10*h(q). Let i(g) = 1349*g. Give y(i(r)).\nAnswer: -2698*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e17 - -3?\nAnswer: -1e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 10*s - 17. Let l be w(7). Suppose -l*j = 2*q - 50, -4*j = -7*j + 4*q + 21. Let o(y) = y + j + 4 + 0. What is o(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -5*m. Let v(q) = -q**2 + 17*q - 34. Let b be v(14). Let s(i) = 342 + i**2 - i**2 - b*i**2 - 342. Calculate f(s(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 256 = -4*n + 56, -2*n - 70 = -4*d. What is the units digit of (22\/4 - 4) + n\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21473\/5 greater than 4295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z**2 + 28*z + 24 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -4290  (c) -0.4  (d) -2  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of 15\/2*k + 1\/2*k**3 + 9\/2*k**2 - 1. Let f(u) = 0. Calculate u.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 57087 and 674996688?\nAnswer: 674996688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 14 - 5. Suppose -f*n = -n - 16. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13.11 + 13. Let v = i - -0.21. What is the nearest to 0.1 in 2\/7, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17277*h*p - 3*h + 5*p + 795 wrt h?\nAnswer: 17277*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -11*a + 179. Let f be w(10). Solve -f - 11 = -40*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**7\/1260 - w**4\/4 + 18*w**2 - 110*w. Let u(g) be the third derivative of z(g). Let b(k) = 58*k. Give b(u(a)).\nAnswer: 116*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1*-23*2 + -3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*(15\/6 + -4). Let t be (25\/10 + i)*(2 - 8). Let a = t + 37. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 0 - 31 = 2*y, 4*c = -2*y + 154. Find the first derivative of -33*h - 9 + c + 16*h wrt h.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/4*(-208)\/12. Let r = -28 - g. Let l be 1 + 1 - 1\/(r\/4). Solve 0*d = -l*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 13 + 14)*(0 - 3 + 1)*(1 - 3 + 0)*(2*l - 2*l - 2*l).\nAnswer: -128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -200 - 5?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 5*u - 40. Calculate the highest common divisor of u and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 537\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 6*p + 117. Let v be o(-19). Suppose -3*b = 2*q - 1485, -v*b = -6*b - 5*q + 1485. What are the prime factors of b?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*d + 84288 = u + 60*d, -d + 252850 = 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 67*s - 988. Let l be q(38). What is the greatest common divisor of l and 1444?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g - 2*g**3 - 3*g**2 + 3*g**2)*(2*g - g + g) as k*g**3 + v*g**4 + l + u*g**2 + s*g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000 (base 2) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from innnnni.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.15 + -0.15. Sort i, -3, 8.\nAnswer: -3, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t + 2. Let m be h(4). Suppose -m = -7*d + 2*d. Let v be 3\/5 + (-2)\/d. Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -297 = -102*y + 93*y. Suppose 36*n = y*n + 18. Suppose -4*t - c + 37 - 10 = 0, 5*c = 4*t - 9. What is the least common multiple of t and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 384.5651 centuries?\nAnswer: 461478.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-812)\/348*((-10)\/(-49))\/(-5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3383 is divided by 186?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1755*s = -1045*s - 4187*s - 243*s - 614550 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -27*y - 156. Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 3 = 2*m. Let d be 2\/(-1) - (-14 - m). Suppose -3*g - 80 = -2*w - 5*g, -20 = -4*g. What is the greatest common factor of w and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 324 and 2959335.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -0.0511  (c) 26  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -4. Let y = 22 - f. Let r be 7\/(y\/(-2)) + 7. Solve r*b = -0 - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4702 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -985943434 and -3.\nAnswer: 2957830302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**4\/4 - 3*u. Let c(h) = -7*h**2. Let s(f) = 5 + 4*f**2 - 6*f + 0*f + f**3 - 1. Let k be s(-5). Give k*i(b) - 4*c(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-40)\/(-20) - 1*-34. Suppose 0 = l - 4*x - 51, 2*l - 44 = -3*x + y. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 702*v**5 - 5*v**4 + 210*v - 19.\nAnswer: 14040*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/20 + ((-115353)\/(-15))\/(-21). Put g, 4, 0, -3 in decreasing order.\nAnswer: 4, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0*b - 3 = -b, 2*b = z - 4. Suppose -q = -6*q + 40. Suppose q*p = 3*p + 10. Solve 3*x = p*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1565345063 to the nearest integer?\nAnswer: 39564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/9)\/(0 - (-4)\/(-96)). Let i be (-102)\/(-308) - l\/224*8. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 41*b**3 + 6*b**2 - 95*b - 6. Let k(f) = -84*f**3 - 13*f**2 + 190*f + 13. Let m(u) = -6*k(u) - 13*t(u). Find the second derivative of m(p) wrt p.\nAnswer: -174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3 = -1. Let p be u*-2 + 3 + -7 + 8. Find q such that 0 + 3\/2*q - 3\/2*q**p - 3\/2*q**3 + 3\/2*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1176 divide 1028016155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -0.5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 675111407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-371)\/(-21))\/((-1)\/(-3)). Let s be (18\/(-4))\/(2\/(-4)). Suppose s = -3*y, z + z = y + c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1290277407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/49)\/d)\/d*d\/d**(-5)*(d\/(d**(-9\/5)\/d))**(-48) assuming d is positive.\nAnswer: d**(-43698\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**2 + 637868*r + 50859448178 = 0.\nAnswer: -159467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*l - 0*y + 184, -2*l = -3*y - 130. Let x(j) = -j + l - 62. Let f(v) = 4*v**2. Let a(r) = r**2. Let b(n) = 10*a(n) - 3*f(n). What is x(b(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -35, -2\/3, 0, -0.07, -0.11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 575  (c) 1027  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 818949608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 69973.57us?\nAnswer: 0.06997357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 551294 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 256 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9675016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/233051 and 25?\nAnswer: 233051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 23*d**2 + 3*d - 2. Let x(j) = 69*j**2 + 8*j - 5. Give -11*a(i) + 4*x(i).\nAnswer: 23*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5063, 10208, 15339, 20456?\n\"Answer: -7*d**2 + 5166*d - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.05 - -1.55. Sort 2\/7, 1, -1\/2, x in descending order.\nAnswer: 1, x, 2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, -1\/2, 5, -3, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z - 4*p, 9 = 9*z - 4*z - 4*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 0*l + 4*z - 28, l - 4*z - 4 = 0. Suppose -2*t + l - 2 = 0. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53\/7, 2, 2\/65, 2\/11, -1 in descending order.\nAnswer: 53\/7, 2, 2\/11, 2\/65, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 12*j**2 - 10*j - 5. Let y be l(11). Suppose -3*c = -6*c + y. Suppose c*h + 2*h = 264. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9*2*1\/6. Let s(d) = d + 2. Determine s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3388 - 77967\/23. What is the common denominator of l and -24\/5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -5*o**2 - 16333*o - 324634. Give i(-20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1222178364731608 - 0.2.\nAnswer: 1222178364731607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (50148\/(-13930))\/(6\/(-95))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -1. Suppose -d - 5*u + 24 = -0, -2*d + 24 = w*u. What is the greatest common factor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27715268 by 13857634.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 2*o - 2. Let x be (6\/(-8))\/(2\/(-96)). Let r = x + -15. Let j(u) = -9*u**2 + 21*u - 21. What is r*y(t) - 2*j(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92 + -92.78. Let g = 0.28 + r. Let v be (-1)\/(-9)*6\/(4 - 10). Which is the smallest value?  (a) v  (b) -3\/5  (c) g  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 807045387?\nAnswer: 3, 19, 14158691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -2377.\nAnswer: 3\/2377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(0\/(-3) - 0). Suppose -v + 0 + 7 = l. Suppose y - v = -4. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -63\/2124730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/90)\/((-127)\/(-1524)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1037385.236859 + -1037384. Let k = o - 1.236. Let w = -0.001 + k. Round w to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -21*t**3 + 9*t**2 + 21*t + 98. Is x(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 4:51 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -1 - (-9 - -9)) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -2*m - 5*f - 100, -2*m + 71 = f. Suppose 8*z + m - 1691 = 0. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 3*h + 3 = -0*h, -5*s - h = -1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*64\/(-16)*6\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 75566480 divided by -3434840?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + l**2 - 146*l**3.\nAnswer: -146*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2645015901 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 655*u**2 + 28*u**2 + 0*u - 64*u**2 + u.\nAnswer: 619*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51339 and 654?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96892.26 months to centuries.\nAnswer: 80.74355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)\/sqrt(2))**2 - 4*(-1 + sqrt(2))) + (3*sqrt(4)\/sqrt(2) + sqrt(384)\/sqrt(12))*-6.\nAnswer: -46*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4.90724 kilometers?\nAnswer: 4907240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10961 is divided by 813.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 83*k**2 - 4. Suppose -13 = -3*y + 2. Suppose -5*c = 3*n + 2*n + 30, -4*c + 3 = -y*n. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310229069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/11)\/p)\/(p*p**8\/p*p*p) assuming p is positive.\nAnswer: p**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*g + 3*t - 39, -4*g - 2*t = -36. Let w = g + -6. Suppose 4*u + 4*h - 3 + 7 = 0, w*h + 21 = 3*u. Solve -n = -u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(147) + 0 + -5 + -2 + -3 + ((sqrt(108) + 1 + sqrt(108))*6 - (1 + sqrt(108)*-2)))**2.\nAnswer: 24843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1338.5871726 - 713.587027. Let r = u + -625. Round r to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.042?  (a) 0  (b) 1  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 0*y - y + 1880, -4*l + 2512 = -4*y. Suppose -8*o + 1883 = l. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 22*b - 21. Let j(w) = 25*w - 23. Let x(y) = -4*j(y) + 5*v(y). Calculate x(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25277 and 116564.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -4\/3*u**3 + 0*u**2 + 0*u - 1 - 1\/24*u**4 - 1\/120*u**5. Let r(g) be the third derivative of b(g). Determine r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 476241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + (-183)\/12)*-4. Suppose 5*y - 2*f - 190 = 0, 2*f + 3 = -2*y + m. Suppose -4 = -x + y. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 40 = z. Let a = -17 + z. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((1 - 8) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33059 is divided by 1002?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {k: 4, z: 2, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y**2. Let w(q) be the second derivative of 19*q**4\/12 + 2*q. Calculate i(w(u)).\nAnswer: 1083*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -26*q**7\/21 - 7*q**5\/10 - 1525*q**3\/6 - 994*q. What is the second derivative of x(j) wrt j?\nAnswer: -1040*j**3 - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -4. Suppose s*m - 33 - 3 = -k, 5*k - 60 = 4*m. Calculate the least common multiple of 10 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -1 - (-114 + 105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -182 divided by -4\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**5\/3 + 6986*h**4\/9 - 193588*h**3\/9 + 531952*h**2\/9 - 345344*h\/9 = 0.\nAnswer: 0, 1, 2, 76\/3, 1136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 9 = 27. Let y(t) = t + 19. List the prime factors of y(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2327*g - 102084 - 18920 = 0 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 414 = -4*w, 0*l = -3*l + 5*w - 414. What is l rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-210)\/(-84)*(-1576)\/(-10).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 6:34 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l. Let o(k) be the first derivative of 11*k**3 + 8*k**2 + 1229. Calculate t(o(a)).\nAnswer: 33*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -10, -2.11, -44, -4?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - (-16 + -4 - (-6 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r**3 - 428*r + 24. List the prime factors of j(-19).\nAnswer: 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 3*y**2 + 4*y - 6. What is the units digit of d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhzhzzhzhhhhzzzhzz. Give prob of sequence hz.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 11. Suppose 2*u + 3*y - 21 = -u, -4*y + r = -2*u. Solve 7*q - u*q = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/102 and -43\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/1408 or 0?\nAnswer: 1\/1408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -324.\nAnswer: 324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 827 - 824. Let o = -9 - -7. What is the closest to o in -0.2, -5, s, -0.19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 703 + -703.5. What is the closest to d in -5\/3, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 121*f - 8491 = 3059. Which is the smallest value?  (a) 2\/9  (b) f  (c) -1  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + 12*s - 5 - 7 + 5 - 17*s.\nAnswer: -4*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s = 16*m - 3 + 27, -2*s + 0*m + 2 = -2*m - 0*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 0 - (-7 - 0). Suppose 9*l - d*l = 1491. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 26*r - 163. Suppose 241 = -47*y - 276. Let t be p(y). Solve t*m - 7 = s, 3*m - 4*m + 5*s = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 2)*(1 + 3 - 7)*(70*l - 268*l - 110*l) as r + i*l and give i.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a factor of 194013760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12979506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112746 is divided by 4476.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 198 and 2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -3\/4  (c) -0.4  (d) -243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32925017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -41?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a - 2. Let b be z(10). Let g be (b\/(-10))\/((-1)\/15). 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 w = 56 - 53. Let n(l) be the third derivative of 0 - l**2 + 1\/6*l**4 + 0*l - l**w. What is the first derivative of n(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gkfpkfkkgpp. What is prob of sequence kggp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - j**2 + 109*j - 2. Calculate h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 14 + 11. Let m(s) = 2*s**3 - 5*s**2 + 5. Let w(v) = -3*v**3 + 9*v**2 - 9. Let i(n) = c*m(n) + 3*w(n). Suppose -o = -4*o - 6. Give i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 15 - 0. Calculate the smallest common multiple of 1\/((-4 + u)\/(-2)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -26*k**2 - 18. Let o(p) = -27*p**2 - 24. Let y(z) = -5*j(z) + 4*o(z). Let t(r) = -2*r. Give y(t(f)).\nAnswer: 88*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 6:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3666*w. Let r(f) = 20*f + 3. Calculate r(c(l)).\nAnswer: 73320*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35576 - 32261. Solve -17*q = 3383 - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9c (base 15) to base 6.\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-83*i - 38*i - 47*i)*(-2 + 1 + 2)*(i - i - 2*i)*(-34*i**2 - 25*i**2 + 25*i**2) to h*i + s*i**4 + z*i**2 + c + m*i**3 and give s.\nAnswer: -11424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.35317 rounded to one dp?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*v**2 - v**2 + v**2 - 2*v**2 as c*v**2 + g + y*v and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 2*b - 14, 5*b = 16 - 1. Suppose -3*n = y*q - 0*n, 0 = 2*q + 3*n + 6. Suppose -6 = q*v - 39. Calculate the smallest common multiple of 7 and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9966570 divided by 3322190?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m - 1 = 2*w + 62*m, 0 = -w - 4*m + 27. Let k = 1 - -2. Solve -5*q + 3*g - 2*g + 25 = 0, k*q = -g + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6*7\/1260*-4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 4\/31  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 1 + 3 + (-13 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 0.64\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + 1)*82 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 40*o. Let k(s) = 413*s. Give k(r(n)).\nAnswer: 16520*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/9)\/(1024\/27648)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 68 = 8*x, 5*d + 10 = 24*x - 19*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cprccccccccccc. What is prob of picking 1 r and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 101 - 93. Is 1257 - (r\/(4 + -2) - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or -10.47956?\nAnswer: -10.47956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5499 a factor of 1163016504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 6:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -2*j - 1\/2*j**2 + 0 - 1\/3*j**3. Let d be (2\/2)\/((-4)\/(-12)). Calculate y(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**3 + 2*i**2 - 1. Let s be m(1). Suppose -s*a + 76 = -2*a. Let b = -32 + a. Calculate the common denominator of b and -44\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + 0\/1 + 8 + -1. Let b = -5 + 9. Suppose 0 = -4*u - 5*n - 1, -b*n + c = 2*u - 3*n. What is the second smallest value in -1, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119603.\nAnswer: 11, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 196022 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-44))\/((-32)\/22).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46624 is divided by 77?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*p = -7137, 2*x - 3*p - 4971 = 2160. Does 31 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 2. Let s be d(-2). Suppose 4*h = 5*i + 6, 3*i + 43 - 29 = 5*h. What is the second derivative of 2*u + s*u**2 + 0*u**i + u - 9*u wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1035 by 115.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1779*103660\nAnswer: 184411140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 429778?\nAnswer: -171911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.129209135 rounded to 3 decimal places?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**4\/7 - 4*s**3\/7 + 10. Factor y(c).\nAnswer: 4*c**2*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.917466 + 4.4404407. Let h = s + 0.477. What is h rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 920303 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -402, -1341, -2826, -4791, -7170?\nAnswer: -9897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*a - n - 6, 13 = -4*a - 3*n. Let l = 33023\/5 + -6625. Let f = 20 + l. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n + 2*n - 3*n)*(4*n - 2*n + 0*n) + n**2 + 4*n**2 - 3*n**2.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 93472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 1 + -1 + 3. Suppose 0 = f*i - 4*i. Solve j + 3*j + 8 = i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -131, -133\/372, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1 + 187*i - 20*i + 60 + 29 wrt i.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - x - 18 = 2*w, -4*x + 12 = -5*w. Let j(t) = -2*t**2 + 5*t. Let y(a) = 5*a**2 - 11*a. What is w*y(f) - 9*j(f)?\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1*sqrt(11) - (sqrt(11)*-1*6)**2.\nAnswer: -400 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 444985 and 820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2093444?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of -4*v**3\/21 + 8*v**2\/7 - 16*v\/7 - 4. Factor j(b).\nAnswer: -4*(b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 2*n - 6. Suppose -n*c = 2*c - 16. Suppose 197 - 27 = 3*i + 4*m, c*m + 80 = 2*i. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4.06  (b) -0.3  (c) 2\/3  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.11 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(58\/((-127832)\/406))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 225*r**2 - 5*r - 10. Let p be o(-4). Let y = 1869 + p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 1765 - 4772 = 0. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3477 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -16887*r*s**3 - 131918*s**3 wrt r?\nAnswer: -16887*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 3*v**3\/7 + 1320*v**2\/7 + 12975*v\/7 + 32250\/7 = 0.\nAnswer: -430, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46 + 74. Solve 0 = 5*v - 3*o - 0*o + p, v + o + 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 200 - 189. Suppose 1480 = -3*l + k*l. Calculate the highest common divisor of l and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -14*a - 1. Give q(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 3*p + 462, -11 = 4*p + 5. Is s a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*i - 11*i - 12*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jhrmrvdhj. Give prob of picking 2 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (144*h**2 - 2*h**3 + 598 + 599 - 1196)*(-1 + h + 1) to s*h**3 + t + o*h + d*h**2 + i*h**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113423 + -12000?\nAnswer: 101423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 11*c + 122. Determine w(-13).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 21*b + 97. Calculate c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44155*l = -44158*l - 15, 35 = -5*s - 3*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t + 67. Let j(a) = a - 34. Determine -3*f(m) - 5*j(m).\nAnswer: m - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from fjwwjo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 336384.3ug to kilograms.\nAnswer: 0.0003363843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6170.819*17\nAnswer: 104903.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, -0.313, -39.5 in descending order.\nAnswer: -0.02, -0.313, -39.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213084456 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 493687 is divided by 11220.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -304?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of 13\/45*z**4 + 0*z**2 + 43*z + 0 + 1\/150*z**5 + 0*z**3. Find a, given that t(a) = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(3*(-1 + sqrt(117)) - (-3 + (sqrt(117) - -3*sqrt(117))))*4)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11304004405 - 0?\nAnswer: -11304004405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 202 + -201.7. What is the closest to x in -3\/2, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*((m**(-10)\/m)\/m*m)\/m)**(-32))**(1\/48) assuming m is positive.\nAnswer: m**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 164569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (0 - 2) - (-6 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**2 + 10*x - 3. Let s be o(4). Suppose -738 = -2*u - s*j + j, 2 = 2*j. Let v = u - 230. List the prime factors of v.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*s**3 - 52*s**3 + 145*s**3 + 122*s**3 + 167*s**3 + 28*s**3.\nAnswer: 482*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*((-188)\/(-16) - 0)\/1. Let s = o - 36. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*x - 0*x. Suppose -15 = x*q, g + 2 = -3*q + 4. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2346293 + 32889477\/14. Let c = 2950 - l. Calculate the common denominator of -19\/90 and c.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*a = 18*a - 15. Suppose 0 = 2*s - 7*s - 5*w + 60, -5*s = -a*w - 20. Suppose -5*g + 3 + s = 0. Calculate the least common multiple of 58 and g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -11. Suppose -89*a = -84*a - 250. Calculate the greatest common divisor of d and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -297 - -563. Suppose 21*a - k = 322. Calculate the remainder when a is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7349.854 centuries in decades?\nAnswer: 73498.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1))**49 assuming h is positive.\nAnswer: h**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 81727 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 114720 (base 8) to base 6\nAnswer: 502144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -6 + 5 - (7 + 3 - (1 - 13))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*f**2 + 11*f**2 - 51*f**2 + 12*f**2 + 17*f + 9*f**2 to the form z + l*f + q*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - b = -2*i - 6, 0 = -4*b - 12. Let w be (-3)\/(-6) - (-18)\/(-4). What is the closest to -0.1 in w, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 48394635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 118 and 21712.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(405)*-5 + 2 - ((sqrt(405) - (sqrt(405) + 0 + 0)) + sqrt(405) + (sqrt(405) + -1)**2*-1).\nAnswer: -72*sqrt(5) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 4*d - 4*d - 3 + 5*d - 2*d**2. Let z be h(3). Sort -4, 4, z.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1501286 is divided by 1133?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -308868, -618000, -927132, -1236264, -1545396, -1854528?\nAnswer: -2163660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of k**9\/7560 - k**5\/60 + k**4\/6 + k. Let i(v) be the third derivative of l(v). Differentiate i(h) with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, -5, -2\/3, 462, -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (414\/920*5)\/((-3)\/72).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x. Let y(s) = -1827 - 12*s + 1827. Give y(a(o)).\nAnswer: 84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1157 - 748. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 41530867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65 + -36. Suppose -t - 5*l - 9 = -37, -z = -2*t - l. Suppose 4*v - 6 = 4*x - 22, -2*x - 3*v + t = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -4  (c) -16.388\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 11*f**2 + 11*f + 24. Let u be c(-10). Calculate the greatest common divisor of 56 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/28?  (a) 148  (b) -0.2  (c) -37\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -5*n + 2 - 5 + n - 2*n**3 + 0. Let b be u(-3). Is 443*((-9)\/(-7) + (-18)\/b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/((x\/(x**(-1\/6)\/x))\/x))\/(x\/(x\/x**6*x)))\/(x**1\/(x**4*x)))\/((x**3*x*x\/x**1)\/(x**(-2\/17)*x**(-1\/13))) assuming x is positive.\nAnswer: x**(-7109\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*p**2 + 10*p**2 + 3620*p + 8*p**2 - 41*p**2 + 7*p**2.\nAnswer: -4*p**2 + 3620*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2322 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: Suppose x - 5*x - 21 = 3*c, x + 5*c = -18. What is the units digit of -1 + -1 + 6 + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -613 by -2178.\nAnswer: 613\/2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22025 is divided by 1400?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 - ((-7 - -2) + (-11 - -12) - 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7\/56969 - -2072703183\/455752. Let c = 4540 - g. Find the common denominator of 89\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -113968526?\nAnswer: -113968525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, t: 7, k: 4}. Give prob of picking 2 k and 2 t.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -2\/303213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -477*565.\nAnswer: -269505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 46 - 14. Let s be 6 + -2 - 448\/w. Suppose v + 0*v + 4*p - s = 0, -p = 0. Calculate the remainder when v is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114699619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1907 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + b**2 - b. Let u = -67 - -65. Let y(x) be the third derivative of x**6\/15 + 3*x**5\/20 - 3*x**4\/8 - x**2. What is u*y(g) + 18*c(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 232 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 169 divide 65286390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 398136345*a**3 - 300571706*a wrt a.\nAnswer: 2388818070*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*o - 245 = 13*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 2)*(-i + i - i)*(2 + 7*i - 1 - 5).\nAnswer: 21*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 3682.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3796 divided by 4.\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -25. Let l = 20 - g. Suppose l*b - 4*b = -108. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4*y + 28 = 8, 0 = 2*f - y - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 14*m. Let o(a) = 68*a + 33 + 37*a - 75*a + 33 - 64. Give x(o(u)).\nAnswer: -900*u**2 - 540*u - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(4*-1)*(-24)\/(-84)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 232 - 241. Is -3197*3\/(-27) - (-2)\/j a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 2*f. Let y = 6 - f. Let m = -6 - y. Which is the nearest to -1\/2?  (a) -2  (b) 0  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((((-1040)\/(-30))\/13)\/((-3)\/(-18)))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u - u + 2 - 9 + 6. Let h(n) = n**2 - 8*n + 3. Let l be h(8). Let g(o) = -2 - 2 + 1 + 5 - o. Calculate l*c(s) + 2*g(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/(-504))\/(((-10)\/35)\/((-36)\/21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -87*t**4*w + 67*t**2*w**2 + 2*w**2 - 9007 wrt t.\nAnswer: -348*t**3*w + 134*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/51 + (-832)\/272.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.2  (b) -1  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 6943, -1, 3, 6 in ascending order.\nAnswer: -5, -1, 3, 4, 6, 6943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1103 - -1102.941. Is -2 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -402*p + 386*p - 32 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53, 54, 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -26. Solve -v = -2*b - 6 - 1, 4*b + l = 5*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -0.8. Let v = 191.57 - -0.43. Let s = v + -188. Which is the closest to 2\/5?  (a) s  (b) 0.1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 3. Suppose 0*d + 4*d - 380 = t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4b0dbf + b?\nAnswer: -4b0db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/116828643?\nAnswer: 1\/116828643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.384 times 21\nAnswer: -8.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus -104.79?\nAnswer: 106.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - 120\/(-25))*135. Let u = q - 55. Suppose -2*t - 2*o = -22, 0 = -3*t + 7*t - 5*o - u. Solve 2*k - 2*z = -t, 4*k + 2*z = -3*z + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*u**3 + 3*u**3 + 394 - 14*u**3 + 6*u**3 - 397.\nAnswer: 24*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/9 - 2\/9*k**3 + 4\/9*k**2 + 2\/9*k.\nAnswer: -2*(k - 2)*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1616\/24 - 4\/(-6). Let h = k + -17. Let z = h - 30. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q + 3*q = -960. Let z be (-3 - -6)\/(-3) + 1 - -24. Calculate the greatest common divisor of z and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 2 + 2*b**2 + 6*b**2 to l*b + k + w*b**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 555855 is divided by 836?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 8:55 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 9\/4  (b) -2\/17  (c) 0.1  (d) -2\/5  (e) 117347\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: -56275380 divided by -420\nAnswer: 133989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9207, 9237, 9267, 9297, 9327, 9357?\nAnswer: 9387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 1054747.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 + 3*r**2 + r - 1. Let x(o) = -7*o**4 - 3*o**3 - 38*o**2 - 29*o + 9. Let c(s) = 6*t(s) + x(s). Find the third derivative of c(d) wrt d.\nAnswer: -168*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 - 3)*-3 + 8. Let z = -26 + 36. Suppose -3*w + p + z = 0, -w + 3*p = -1 - a. Solve w = -5*b - u - 1, -5*u = b + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30*l**4 + 11*l**2 + 2679*l - 2679*l - 4*l**4 + 5*l**4 + 0*l**4 + (0*l**2 - 2*l**2 + 5*l**2)*(l - l - 2*l**2) + 3*l**4 + 0*l**4 - 5*l**4.\nAnswer: 23*l**4 + 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 41311126744 and 0.2.\nAnswer: 41311126744.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**5 - 3*t**5 - 2*t**5 + (t**3 - t**3 - t**3)*(1 - 4*t**2 - 1) - 3*t**4 + 4*t**4 + 0*t**5 - 4*t**5.\nAnswer: -2*t**5 + t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**4\/4 - 7*q**3\/3 - 3*q**2 - 11*q + 2. Calculate the remainder when (3 - 7)\/((-2)\/7) is divided by u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -14*a + 39. Sort a, -2, -11, 1 in decreasing order.\nAnswer: a, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(5\/2))**22 assuming v is positive.\nAnswer: v**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -352, -4 in increasing order.\nAnswer: -352, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1182*s - 1196*s = -9464. Calculate the greatest common factor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 13 = -2*s, -2126*s + 2121*s + 17 = -4*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -101324\nAnswer: -1\/101324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 86 - 86.0000108. What is v rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4046 divide 396245279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0798524 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-18)*(-1)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 503\/991043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 13*u. Let a(t) = -7*t. Let n(d) = -11*a(d) - 6*z(d). Let l be n(-4). Solve -3 = l*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000697114 rounded to 7 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -81*b**5 + 21*b**3 + 2182*b**2?\nAnswer: -4860*b**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(99)*6)**2 + -5.\nAnswer: 128299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*x**4 + x + 1296 - x**5 - 1296 + (-18*x**2 - 19*x**2 + 8*x**2)*(2*x - x**3 - 2*x) + 3*x**5 + 2*x**5 - 3*x**5.\nAnswer: 30*x**5 + 41*x**4 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/6 + (-130)\/(-6). Suppose -28*c + p*c = -574. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 8 = -3. Suppose 1 = j - s. Solve -j = 3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 75\/(-60)*8 - (-32)\/11.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -6*a + 100. Let h be m(15). What is the units digit of 2*1\/(h\/545)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.05  (b) -2  (c) -5  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 2:53 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of n**5\/60 + n**4\/8 - 156*n**2 - 2*n + 55. Let k = 0 + -3. Calculate b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2324256 by -35216.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -787*0.2.\nAnswer: -157.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 890454 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddddkddddddddddd. Give prob of picking 4 d.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 302546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 0*p = 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qlqvlqqlqqqlllq. Give prob of picking 2 l and 2 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86503.14l to millilitres.\nAnswer: 86503140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4 = 3*j - 20, 5*l = 4*j - 31. Let d be ((-6)\/(-2))\/(l\/(-13)). Suppose d*g - 11*g = 310. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (2 - (3 + 1 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-3)\/(-6) - (-28 - -29).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 - -28. Solve g = 5 - s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -869452*h**6 - h**4 - h**3 - 3902*h**2 + 391 wrt h?\nAnswer: -104334240*h**3 - 24*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (36\/42)\/((-13006)\/686 - -19)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**16\/z*z**18)\/(z\/(z*z**(2\/45))*z)**3 assuming z is positive.\nAnswer: z**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221 = -1809*h - 14621 + 370 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((42\/(-4))\/3)\/(12*32\/(-192))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**5 - 4320*b**3 + 417*b**2?\nAnswer: 120*b**2 - 25920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by (6\/3)\/((-4)\/(-28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k - 1. Let w(t) = 7*t - 29. Let b(u) = 3*g(u) - w(u). Calculate b(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (1 - -4 - 10) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.7, -0.0485, -6?\nAnswer: -0.0485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2381, -4761, -7141?\n\"Answer: -2380*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 o, and 1 r when four letters picked without replacement from {o: 12, r: 1, s: 5, a: 1}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -0*t - 260. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0*o - 3 = 0. Let v be (-2)\/o + (-8)\/(-6). Let f(d) be the second derivative of -d**5\/20 + d**4\/6 - d**3\/3 - d**2 - 2*d. What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(12363 + 1) - -13.\nAnswer: 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*y**2 - 5 + 5 - 2*y**2 + 5*y**2 - 4*y**2 + 2*y + 2*y**2 - 2*y + (-3 - y + 3)*(-y - y + y) in the form v*y + f + r*y**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2829?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 4*y - 16 = -2*w, -20 = 4*w - 5*y. Suppose w = -s + 6*s + 70. Let p be 10\/s + 8\/(-28). Is -2\/9 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 r, and 1 n when four letters picked without replacement from {r: 9, n: 4, t: 4}.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 11.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((27\/6)\/9)*3\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 814.571 + -814. Let m = c - 0.6167. Let i = -0.052 - m. What is i rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2114 and 3817280?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - -3 - -7 - (1 + 0 + 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, s: 1}. Give prob of sequence gs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.23 - -0.23. Let b = 2.7 + y. What is the nearest to -2\/9 in b, 2\/21, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 292410*d. Let b(n) = -2*n**2. Determine b(q(s)).\nAnswer: -171007216200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 PM and 1:26 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -45498 and -5.\nAnswer: 227490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 35. Let u = v + 1. Calculate the common denominator of 40\/3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.92107 kilograms to grams.\nAnswer: 14921.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 - 13. What is the smallest common multiple of x and 5*(-2 - 44\/(-10))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 209344 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - 28. Solve 2*k - 3*k - 3 = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.313, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2650050 divided by -8775?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 15, 32, 55, 84?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 7:46 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 7. Let n be 1*3 + 1 + m. Suppose 0 = 4*f - 2*k - 24, -f - n*k = -0*k + 4. Solve 0 = q - f + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5864, -5917, -5976, -6029, -6064, -6069, -6032, -5941?\n\"Answer: 2*d**3 - 15*d**2 - 22*d - 5829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8218120 + -4?\nAnswer: 8218117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 195503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -68 + (-89 - (-110 + -58))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(6\/4))\/(36\/3096). Let c = 184 - d. Solve 0 = 4*i - c, 8*y - 12 = 3*y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2 = f + 5, -f - 4*n + 4 = 0. Suppose 2*l = -2*a - 4, 2*a + 18 = -l - 3*a. Solve f*r - 2*r + l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*a - 846 = 85 + 987 - 34 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 364*x - 36 = 361*x. Solve 7*n + x = 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwmmwwwfmfww. What is prob of sequence mf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ghss when four letters picked without replacement from {s: 6, h: 2, r: 5, g: 5, i: 1}?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 269871462 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 86\/189 and -58\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/35202892 and -13\/9104.\nAnswer: 140811568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1 + (0 + 1 - 3)*(-2 - 2 + 0) + 0 + 3 - 4)*(1 + 3 - 5)*(2 - 4 + 0)*(1 - 9 + 2)*(40 - 40 + y).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -101\/5 in -3, 4, 64, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 16. Let g = -3 - -2.99. Let p = g + -0.09. Sort p, 0, u in ascending order.\nAnswer: u, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w - 20. Let f be s(10). What is the units digit of 1436\/(-10)*f\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2700 is divided by 1335?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uauaaua. What is prob of picking 2 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.2, -13\/5, 3, -0.12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 6  (b) 2\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-46)\/11 + 10\/55. Let m be (0 - h)*(-3)\/(-4). Solve -5 = 2*u + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 9. Suppose -6*s = -n*s - 6. Suppose -s*j - 3*m + 47 = 2*m, 0 = -5*m + 5. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + -2 + 3)*-5. Let x(p) = 8*p - 1. Let t be x(-1). What is the units digit of (t - u) + (-1 - -32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 37*l**3\/5 + 3513*l**2\/5 + 3288*l\/5 - 188\/5 = 0. Calculate l.\nAnswer: -94, -1, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/25 of a microsecond in nanoseconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -9. Suppose -w*v - 3*a + 25 = -0*a, 2*v = 2*a + 10. Suppose -2*h = -2*t + 2, 0*t + 2*t + 2 = 4*h. What is the remainder when v is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 29 - 23. Let x(o) = -2*o - 1. What is the tens digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 + 189 = 4*m. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and -1312520.798452.\nAnswer: -1312523.798452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 8*i**3 - 1. Suppose 7 = -5*y - 8. Let h(l) = -7*l**3 + 1. Let t(a) = y*h(a) - 2*o(a). Find the first derivative of t(v) wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3 = -11. Suppose -n + 3*n = -p*f + 22, 3*n - 19 = -4*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from uuuuuhuuuhuuu.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2 + 8*c - 4. Let s be n(-9). Suppose -3*k - 92 = s*l + 26, -3*k = -12. Let f = -27 - l. Sort f, 8, 3 in ascending order.\nAnswer: f, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 5 = -c, -3*o + 2*c = -25. Let u(y) = 5 + 2 - y**2 - 2*y + 4*y**3 - 6. Let p be u(2). What is the highest common divisor of o and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.6 in 0.02, -4\/7, 454574.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 210, -2, 31 in descending order.\nAnswer: 210, 31, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -3*y + 8109 + 11136, -4*m + 4*y + 15364 = 0. What are the prime factors of m?\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 7*m = 62. Let d = m + 46. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12194 and 61439.\nAnswer: 1597414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**4 + 4*f**3 - f**2 - f - 3. Let u(r) = -20*r**3 - 53*r**2 - 29*r + 9. Let j(a) = 3*i(a) + u(a). Solve j(c) = 0.\nAnswer: -2, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 a, and 1 b when three letters picked without replacement from {n: 7, u: 2, b: 1, c: 4, a: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - d**2 + d + 1. Let t(q) = 6*q**3 - 24*q**2 + 21*q - 3. Let l = -205 - -208. Let b(g) = l*z(g) + t(g). Let b(o) = 0. What is o?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -y**3\/6 + 49*y. Let w be f(-10). Let l(r) = 2*r**3 - 4. Let j be l(3). What is the highest common divisor of j and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((4 - 3) + -2)*-1. Let z = 1 + n. Calculate the smallest common multiple of z and (-1)\/(-3 + (-35)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 q, and 2 f when four letters picked without replacement from {f: 7, z: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 14*h + 31. Calculate y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2\/2 + 15763*o - 6607465\/2 = 0. Calculate o.\nAnswer: 211, 31315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ypcpw. Give prob of picking 1 c, 1 p, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*(-6 - (-1 - 0)). Let h be (-12 - -10) + 0 + 6. Let c = -17 - -17. Solve -q - h*q - s + 15 = 0, c = -5*q + 5*s + r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-2)*2 + 2. Let i be 96\/286 - 12\/66. Which is the closest to -2\/5?  (a) u  (b) -2\/17  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42241 * -25.74\nAnswer: -1087283.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28046511.\nAnswer: 3, 389, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 96, 4\/3, -2, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, p: 1, l: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.347 times 12.1\nAnswer: -4.1987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77218596 by 388.\nAnswer: 199017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53 and 1655773?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5 + 2 - 30*o - 1 + 17 + 3 - 2325*o**2 wrt o?\nAnswer: -4650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -2  (c) -0.08  (d) 2  (e) 442  (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o + o**3 + 2*o + (-4*o**3 + 5*o**3 + o**3)*(1 + 0 + 1) - o**3 + 6*o**3 - 3*o**3 + (9110*o**2 - 784*o**2 - 4510*o**2)*(-o + 3*o - 4*o).\nAnswer: -7625*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 4*j - 13, 3*j + 3*m - 10 = 2. Let v = 51 + -65. Let z be v\/(-4) + (-3 - 0\/2). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/870346 and 19\/870346.\nAnswer: 870346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 0.03  (c) 2\/5  (d) -25  (e) -5\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6.103 * 34\nAnswer: 207.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 427762 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -388078.91 rounded to the nearest one hundred?\nAnswer: -388100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9912 + 10043 + (-2 - 0) + -45.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.11 - 0.11. Let d = -7.98 + t. Let l = d - -0.38. Sort -3, l, 5.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**2 - 10*y + 10. Let z(g) = g - 1. Let x(n) = -b(n) - 10*z(n). Let v(m) = 2*m - 4*m - 6*m. Calculate x(v(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = j + 280, 4*j - 31 + 201 = 2*s. What is the remainder when s is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -442038 in ascending order.\nAnswer: -442038, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + (3\/(-3) - 0). Let i(s) be the first derivative of s**5\/120 - 5*s**3\/3 - 4. Let x(r) be the third derivative of i(r). What is x(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - b - 276 = 0. Let g = 104 - b. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 + 7*i - 2. Let w(z) = z**2 - z - 2. Let a(s) = 5*s**2 - 6*s - 11. Let v(q) = 2*a(q) - 11*w(q). Let j(l) = -t(l) - v(l). Is j(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.013*0.0321657\nAnswer: -0.0325838541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 times 2.6565503?\nAnswer: -0.159393018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 171, 228, 285, 342?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 54*z = -58*z + 32, 0 = -2*x + z + 5. Solve -13 = -5*r - 5*l - 3, r - 5*l = -x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide (-70674)\/5*(-80)\/48 + (3 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5098100 divided by -25\nAnswer: -203924","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -827*q**3 + 2*q**2 - 6*q - 5. Let k be u(-3). Suppose 2*d = k + 4640. Round d to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279785?\nAnswer: 5, 11, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00068182 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 - -1122002102121211?\nAnswer: 1122002102122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5708 + -20582. Let k = m - -21774. Round k to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3341.3300014 - -3341.29. Let b = t + 0.04. Round b to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1363582103?\nAnswer: 13, 229, 458039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002278 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/45 and -74\/165?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*i**2 + 2\/3*i - 2\/3 - 1\/3*i**3 - 1\/6*i**4.\nAnswer: -(i - 1)**2*(i + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of u**8\/672 + u**7\/21 - 47*u**6\/240 - 11*u**5\/20 - 4160*u**2. Solve m(y) = 0.\nAnswer: -22, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 + 50. Solve -5*z = a + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000000100 - 101?\nAnswer: -1000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -4 - 5 - (68 - 94) - 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 5*d - 18. Calculate z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 16 + 11\/2*k**4 - 7\/3*k**3 + 0*k + 0*k**2. Let a(c) = 7*c**3 - 2*c**2. What is -7*a(z) + 2*g(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 10110 - 10107. Solve -4*g = -3*k + 3, 0 = k + 4*g + 2 - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of -r**4\/12 - 119*r. Let i(s) = -6*s**2 + 4. Suppose -4 = -5*u + u. What is u*i(w) - 4*k(w)?\nAnswer: -2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (22\/8)\/((-5)\/(-160))*1 and 242.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/7 - 8\/(-28). Let -z**o - 2*z**2 + 6 + 14*z - 11*z = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -7*v**2 - 2*v - 1. Let l = 58 + -55. Suppose -l*s - q - 8 = 0, 0 = -q - 6 + 1. Determine t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 10549*x - 19 - 43562*x in the form n + a*x and give a.\nAnswer: -33013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10 + 12587 + (0 - -1)?\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5*a = a + 13, 0 = 4*a - 16. Suppose -d - 4*d + 30 = 0. Suppose -10 = l - d*l. What is the remainder when l is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12265921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 682, 1305, 1928?\n\"Answer: 623*i + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (865 - 879) + (1 - -35).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-24 + 18)*10\/(-4). Calculate the remainder when ((-9)\/6)\/(p\/(-160)) is divided by (3 - -2)\/5*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37 + 36. What is the third biggest value in v, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/2)*w)**(-1\/49)*w**13\/(w\/w**(1\/16)))**(-3\/17) assuming w is positive.\nAnswer: w**(-28395\/13328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (15 + -43 - -50).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3598, 7222, 10850, 14482, 18118, 21758, 25402?\nAnswer: 29050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 150207929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 210268718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2360, 1628, 370, -1678, -4780, -9200?\nAnswer: -15202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t**3 + 3*t**3 + 18*t**3 + 0*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -11*n**2\/2 + 3*n + 2994. Let i(g) = 11*g - 3. What is -5*i(k) - 4*p(k)?\nAnswer: -11*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -844 divided by 211.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 15*t**2 + 195*t - 81. What is the least common multiple of 20 and n(23)?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3658*n + 3. Let d(c) = -2*c. Determine d(r(f)).\nAnswer: 7316*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.77111721 rounded to three dps?\nAnswer: -0.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*f - 5*s - 14, 4*f + 4*s + 4 = 0. Suppose -2 + 0 = 5*z + 4*t, 4*t + 8 = -2*z. Does 5 divide z\/f + 105\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*z + 29 + 103*z**2 - 11*z - 10*z - 10*z wrt z.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/6*(-20)\/2. Let b(i) = 2*i**2 - 7*i. Calculate b(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*1\/(2 - 1). Put i, 5, 2 in descending order.\nAnswer: 5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*h + 5*g - 29 = -30*h, h - g = -6. Put h, 8, -4, 3 in decreasing order.\nAnswer: 8, 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 - (10 + (14 - 5 - -4) - 9).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/sqrt(81) + -5)**2*-6.\nAnswer: -454\/3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-70)\/136 - (-3)\/12. Let q = m + 455\/1462. Let d = 3371.3 + -3371. What is the second biggest value in d, -0.5, 0.5, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460 = 2*r + 2*r - 4*u, 2*r = -3*u - 215. Let v = r - -133. Calculate the remainder when 229 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.394434 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-7)\/(-12)*(-373 + 377). Let r(i) be the second derivative of 0*i**2 + 0*i**3 + 6\/5*i**5 + 8*i + q*i**4 - 1. Find the third derivative of r(c) wrt c.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 767731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.634 and -0.1?\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-5\/6)*m*m*(m*m*m*m**23\/m)\/m*m*m*m)**(3\/2))**6 assuming m is positive.\nAnswer: m**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.04 from 3529.1.\nAnswer: 3529.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*b, 0 = -g + b - 3*b - 13. Let f be 14\/g + 634\/6. Suppose -181 - 1534 - f*m**2 + 2*m**3 - 2*m**3 + 5*m**3 + 735*m = 0. Calculate m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 times -0.5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 0.55, 2\/21, -2226 in ascending order.\nAnswer: -2226, 2\/21, 0.2, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 20856 = 7*v. Let n = 50 - 45. Suppose -n*d - 509 = -v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3351*v + 1402. Is q(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-480)\/960 - (11\/(-2))\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(320)*-3*-4 + -5)**2.\nAnswer: -768*sqrt(5) + 46096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1)*1 - ((-28)\/((-117992)\/(-84133)) - -19)\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -354 + 20994.\nAnswer: 20640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.11  (b) 2\/11  (c) -1443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -413208 plus 52728.39?\nAnswer: -360479.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.046447875 to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 56984126 divided by -122?\nAnswer: -467083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126390 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 41, -2\/13, 9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b + 163 = 451. What is the highest common divisor of b and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 times -5099\nAnswer: 147871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 - 1.7. Let s = a + 2. What is the second biggest value in 0, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 2. Let b be x(-4). Let t be b\/1*1\/(-2). Round t to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0087 minus 0.0469?\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62.79651 microseconds to minutes.\nAnswer: 0.0000010466085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -9*(0\/3 - 1). Let o = -7 + i. What is the remainder when 6 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 36 = -m, -5*m = -v + 28 + 116. Let z = m - -55. What is the derivative of -28*c**2 + 43*c**2 + 3 - z*c**2 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -10*(36\/5 + -2). Let g = i - -55. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*(6 + -14)\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -16*f - 4. Let t(q) = -1069*q**2. Give v(t(i)).\nAnswer: 17104*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 26, 0.2, -0.1, 170?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 171 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5155, 10309, 15465, 20623, 25783, 30945, 36109?\n\"Answer: r**2 + 5151*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -860 (base 15) in base 13?\nAnswer: -b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30*-4)\/(-15)*(8\/10)\/(-4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2 - 37*x - 46. Let i be d(20). Factor i*a**2 - 42 - 27*a - 11*a**2 - 6*a**2.\nAnswer: -3*(a + 2)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 135\/12 + (-13)\/52. Is ((-6)\/(-10))\/(r\/8745) - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.94 + 532.06. Let z = l + -541.3. Which is the second biggest value?  (a) 0.05  (b) z  (c) 0.5  (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4353 - 4350. What is the biggest value in -3\/4, 4\/7, 2, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 2  (c) 4  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i - 3. Let m be s(-8). Suppose -a + 12 = 2*c - 8, 2*c + 100 = m*a. Let j(y) = -3 - 10*y - 11*y + a*y. What is j(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 122533400?\nAnswer: 122533355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/(-10))\/(-3) + (-460)\/(-100). Solve -11 = -5*i - 0*b - 4*b, s*b = -i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 4 = 5*p + 1, 0 = w - p - 9. Solve -5*u + 30 = 4*t, t = w*t - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*a + 21 = 0. Let m be 16\/a - 4\/14. Solve m*g = -4*s - 0*g - 12, -3*s + 5*g + 17 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 785, 733, 683, 635, 589, 545?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*(sqrt(66) - (sqrt(66) - (-2*sqrt(66) - sqrt(66))))*-1)\/(2*3*sqrt(6) + (-2*sqrt(42) - sqrt(42))\/sqrt(7)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12495*d**5 + 5*d**3 - 6876*d**2 - d?\nAnswer: -749700*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 620.2352 micrograms to milligrams.\nAnswer: 0.6202352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2077 - 912. List the prime factors of z.\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*z - 0. Suppose z*d - d = -12. Is d not equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 - 7*u + 7. Let k(f) = 9*f + 0*f - 3 + 7*f - 4*f - 2*f**2. Let v be k(5). Let n(d) = -d**2 - 4*d + 4. Give v*n(i) - 4*h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**3 + 2*f**2 + 31*f - 7. Let j(g) = -g**3 + g**2 + 16*g - 3. Let v(s) = 6*d(s) - 11*j(s). Let u be v(3). Let a(i) = 6*i + 4. Give a(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49469 is divided by 5495.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-2)*0\/(21 - 9). Suppose 3*o = 3*m + 45, z = 8*o - 9*o - m + 15. What is the highest common factor of 24 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*d - 88, 0*d + 4*j - 92 = -4*d. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.4 + -0.4. What is the nearest to 2 in -3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 15985*r + 479716. What is h(-30)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -75 - -82. Suppose 63 = 3*r + 4*n, 0 = 3*r - 3*n + 16 - 79. Calculate the remainder when r is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 11, 1, -4 in descending order.\nAnswer: 11, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 2:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 8, b: 8, l: 4}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2. Let y = 288 - 286. Let b(q) = -636*q**2 + 512*q + 318*q**2 + 316*q**y. Give b(s(w)).\nAnswer: -8*w**4 + 1024*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of s**6\/40 + 77*s**5\/10 + 35*s**2 - 85*s. Factor j(h).\nAnswer: 3*h**2*(h + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from raccxxsxsess. What is prob of picking 1 r and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*q**2 + 24*q**3 - 50*q**2 - 43*q**2 - 41*q**2.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 12:42 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)\/y)**(-13))**11 assuming y is positive.\nAnswer: y**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 9*v**3 + 27*v**2 + 96*v + 0 + 11*v**3 - 75*v + 2 to the form q + x*v**2 + s*v**3 + h*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 71 + 114773314?\nAnswer: 114773405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 2 v, and 1 h when four letters picked without replacement from gnvvgvvvlvhvavv.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 852570000 rounded to the nearest 1000000?\nAnswer: 853000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4386 * -18583.\nAnswer: 81505038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2928 + -1712. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 183.1 and -10.\nAnswer: 173.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4554 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 58247202 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 1:03 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -5*w**2 - 5*w - 4. Let a(z) = 16*z**2 + 14*z + 11. What is 4*a(g) + 11*s(g)?\nAnswer: 9*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*(b\/b**6)\/b)\/b**0)\/(b\/(b**1\/b*b*b))**(-17\/3))\/((b*b\/b**0)**3\/(b*b**(-1\/5)*b**(-1))) assuming b is positive.\nAnswer: b**(-238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 + 80 = -15*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349091 is divided by 1006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -261*l**2 + 1014*l - 7. Calculate k(4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5742121473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -489417*n**4 + 575981*n**2.\nAnswer: -11746008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1128 and 3377?\nAnswer: 3809256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from wkwkk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172651?\nAnswer: 41, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 divided by 3?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*s = 30, -2*x = -x - s + 1. Suppose -a + 15 = x*a, -5*n + 9 = -2*a. Sort 2, -1, n.\nAnswer: -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38892920 and 33446.\nAnswer: 272250440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/(-5))\/(3\/277500). Round q to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-338)\/117)\/(89\/801)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 95, 163, 231, 299, 367, 435?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3095362*x**4 + 6472659 wrt x?\nAnswer: -12381448*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 676*g**2 + 2*g - 1. Let p be a(1). Suppose 4*z + t = 3*z + 137, 3*t - p = -5*z. Solve -60*j - z - 9*j**2 + 42*j**2 + 121 = 0.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5443.7 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*g**2 + 30*g**2 + 9*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -337 greater than or equal to -332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1694 divide 159297215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37198 + 37193. Let v(q) = -q - 5. Let t be v(-9). Sort 5, t, -4, c.\nAnswer: c, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 11*l**2 + 21*l - 881. Is 19 a factor of c(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 3:32 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.035, 4.9, 4\/7, 0.5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(2\/9))\/(i**(-2\/3)*i))\/((i**(-2\/17)\/i)\/((i\/i**5)\/i)) assuming i is positive.\nAnswer: i**(-458\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*o - 0*r + 37, 0 = -3*o + 5*r + 19. Is (-4)\/(-64)*-4 + 5386\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**1)**(-2\/15)*x**0\/(x*x\/((x**(-2\/11)\/x)\/x))*((x*(x*x\/((x**(-4)*x)\/x*x)*x)\/x*x)\/(x**(3\/5)\/x*x))\/(x**(-4\/5)\/x*x*x*x**(-6)) assuming x is positive.\nAnswer: x**(1279\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53037)\/(-5893) - ((-43)\/(-5) - -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245887 = -6805*p + 180818 - 309206 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 10*h**2 - 7*h - 61. Let j be w(-10). Suppose -a - 3*c + 28 = 0, 2*a + 5*c + j - 69 = 0. What is the remainder when a is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 330 by -147.\nAnswer: -110\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -61 + 16 - ((2 - -5) + 1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 885066.\nAnswer: 4\/442533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1912 in -1, 0.066, -26, 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4\/(n*n*(n**(2\/13)\/n)\/n))\/(n**(5\/4))**25 assuming n is positive.\nAnswer: n**(-1425\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -1458.\nAnswer: -2\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x, 3*v + 3*x - 327 - 303 = 0. List the prime factors of v.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/4322430 and 22\/3890187?\nAnswer: 38901870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 44*o - 116. Let h be l(6). Suppose g - h = -g. Calculate the remainder when 515 is divided by g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 50450, -0.4, -20, -3\/8, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 469264211.\nAnswer: 13, 211, 171077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {i: 12, q: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 4) + (-1)\/(-1). Is -2 equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - g = -5*g + 2, -5*g + 8 = 3*d. Suppose -l + 6*l - 3*o = d, 2*o - 6 = 0. Solve h - 15 = l*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 8*x**2 - 16*x + 11. Let s(o) = 4*o**2 - 10*o + 5. Give 3*n(a) - 5*s(a).\nAnswer: 4*a**2 + 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j. Suppose -h + 4*v = -78, -2*h + 50 + 130 = -2*v. Let u(s) = -h*s + 75*s + 74*s. Calculate w(u(f)).\nAnswer: 165*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 31*c**2 + 31*c + 39. Calculate u(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6301957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**2 - 4*r**2 - 2*r**2 + r - 8 + r**3. Let x be l(8). Suppose -f + 16 - 1 = x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from ldqdtqdlqd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d*q*x**2 + 17*d*q*x + d*q + 998839*d*x**2 + d*x - 19*d - 578*q*x - q wrt x?\nAnswer: -4*d*q + 1997678*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0104 - -71.3896. Let l = -74.4 + z. What is the closest to l in -5, -3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -4 - 5 + 23 - 5 - 7 - 20*k. Let n be i(-5). Calculate the greatest common factor of 238 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -m - 4*r - 0*r, -2*r - 9 = -3*m. Let c be m\/(-12) - 2\/(-8). Suppose c = 3*n - 9*n + 198. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29 and 215359?\nAnswer: -6245411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249*b**2 - 977*b**2 + 371*b**2 - 2 + 2 + 212*b**2.\nAnswer: -145*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + 0)*-2 + 5 + sqrt(112) + (sqrt(7)*1 + 0)*2)**2.\nAnswer: 40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, k: 2, h: 5, v: 8}. What is prob of picking 1 k, 1 q, and 2 h?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 513 + -513.3. Which is the closest to 0.1?  (a) z  (b) 1\/5  (c) -2\/5  (d) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84504 and 1474293.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -4*l - 30. Suppose 6*x - l = 2*x. Differentiate 8*k + 10*k - x*k + 5 - 2*k with respect to k.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h - 1. Let p(i) = -3*i**2 + 3*i**2 + 7*i - 5 - 3*i**2 + 2*i**2. Let r be p(6). Calculate q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 717015, 716831, 716313, 715293, 713603, 711075, 707541?\nAnswer: 702833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 75920426.\nAnswer: 1\/37960213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (10\/(-15))\/((-8)\/85) and 99\/10 - (-1 - 0 - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0068, 2, 0.1, 24 in descending order.\nAnswer: 24, 2, 0.1, 0.0068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13\/20 - -1309\/60. What is the common denominator of n and 37\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q + 8. Let u(c) = 1. Suppose -18 = -2*b - 5*h, 3*b + 0*h - 4*h = -19. Let l be 3 + (-7 - -2) + 5. Suppose -15 = -2*i - l. Determine b*z(w) + i*u(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (378 + 23 + -18)*49. Calculate the highest common divisor of 49 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + t - 2. Let r be z(2). Let s be (-6)\/(-3) + (r - 6). Suppose 4*a + d - 52 = s, 3*a - 2*d = 2*a + 13. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-108)*(-3)\/9*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1532180 = 76*o + 278948 - 447496. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 2\/13, -10.3, -19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -10*o + 125. Let x be v(12). Suppose 250 = x*n - 0*n + 4*w, -5*w = -3*n + 187. Calculate the least common multiple of n and 6\/(-21) + (-228)\/(-14).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-6)*3 - -9. Let d be 4\/s + 32\/(-30). Let j be (-1)\/(-28)*3*20\/5. Which is the closest to -1?  (a) -0.3  (b) j  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -2*x - 19, -a + 4*x = 1 - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 576007025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 2287437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3987391 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 v, and 1 c when four letters picked without replacement from {v: 9, i: 3, c: 1, p: 4, g: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -73*k**5\/10 - 65*k**2 + k + 31. Differentiate v(s) wrt s.\nAnswer: -438*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 480.6016 millilitres?\nAnswer: 0.4806016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 992 = w, 32*d = w + 30*d - 972. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68323533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/k**(-7\/5))\/k**(-7))\/(k**(-2\/11)*k\/(k*k\/k**(-8))))\/((((k**4*k)\/k)\/k)**(-42))**35 assuming k is positive.\nAnswer: k**(243627\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 543538222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.2 - 4.8. Which is the second biggest value?  (a) -1\/3  (b) 0.01  (c) p  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 307*z - 144 = -289*z, -v - 24 = 3*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*s**3 - 1849472641 + 1849472641.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 37291 - 5?\nAnswer: 37286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-11))\/a*a\/(a\/(a*(a\/(a**11*a))\/a*a))*(a**11*a)\/a**13 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -18*t + 30. Let g = -54 - -47. Let r be d(g). Let q be 1 + -2 + r\/6. What is the greatest common factor of q and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 3*q**5 + 408*q**4 - 173502*q**3 - 40115244*q**2 - 2309882061*q - 8608889844 = 0.\nAnswer: -137, -4, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 1:28 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 0*l - 2*l. Suppose l = -0*g + g - 3*o - 20, 4*o = -16. Let c(z) = z - 2. Let v be c(-3). Put -4, g, v in decreasing order.\nAnswer: g, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1106)\/(-316))\/(1\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 0.4, -6\/11, -16, -171 in decreasing order.\nAnswer: 4, 0.4, -6\/11, -1, -16, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1740)\/(-400) - 2\/(-5))\/((-20)\/(-80))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -y**8\/3360 + y**7\/140 - 3*y**6\/40 + 9*y**5\/20 - 35*y**4\/6 + 28*y. Let m(f) be the third derivative of c(f). Factor m(t).\nAnswer: -2*(t - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7831902 divided by -186.\nAnswer: -42107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 7:04 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-17)\/(-5))\/(4\/56*966\/345)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 16  (b) 5.0392  (c) -13  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (1 - (-2 - (-2 - 1))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 73, 0.4, -4, -1\/4 in descending order.\nAnswer: 73, 3, 0.4, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.1137 and 401.426.\nAnswer: 402.5397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1628, -6493, -14598, -25943?\nAnswer: -40528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1763904*v**6 - 3*v**4 - 8*v**2 - 227846.\nAnswer: 211668480*v**3 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44180 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 - (2 - -1)) + 2. Let t(w) be the third derivative of w**4\/4 - w**3\/6 + 2*w**2. Let a be t(1). Solve -3*f = o*f - c - 20, -5*c = a*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*((-171)\/(-75))\/19?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21891 - 28?\nAnswer: -21919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f + 3. Let b be i(-3). Let k(j) = -j**2 + 6*j + 4. Let p be k(b). Put -3\/2, -1, p in ascending order.\nAnswer: -3\/2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6063795nm to meters.\nAnswer: 0.0000000006063795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 455 by 4.\nAnswer: 455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 181.403151 to one dp.\nAnswer: 181.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-35)\/(-15) - 0)*9. Suppose -q*u + 25 = -16*u. Let w be 2\/u - (-204)\/(-60). Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8554*j**4 - 8559*j**4 + 2500*j + 100*j**3 + 27*j**2 - 777*j**2 - 3125 = 0. What is j?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g - 14 = -42*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*t**4 - 4 + 12 - 12 + (2*t - 3*t - 2*t)*(4*t**3 - t**3 - 2*t**3).\nAnswer: 10*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 5, v: 1, d: 3, n: 6}. Give prob of sequence nvnd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k + 895 = 29*q + 1156, 15*k = -5*q - 45 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1061 and -0.5.\nAnswer: -0.6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 65729003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlyqlzjllljljljzzq. Give prob of sequence jj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of 19*a**3 + 9*a**2\/2 - 9*a - 2301. Let n(u) = -29*u**2 - 4*u + 4. What is -4*i(g) - 9*n(g)?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**2 + 3. Let s(y) = -3*y**2 + 3. Calculate -7*f(r) + 6*s(r).\nAnswer: -4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 24*s + 380*s**3 - 21*s**2 - 6*s - 398*s**3 + 24 - 3*s**4 = 0. Calculate s.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5777 a factor of 1357953174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s**4\/7 + 8172*s**3 + 57210*s**2\/7 - 8172*s - 57207\/7 = 0.\nAnswer: -1, 1, 19069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1389 divided by 463.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -23, -29, -37, -47, -59?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 43524269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (330 - 2)*((-55)\/20 - -3). Solve -3*o + y - 91 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (18 - (-7 - -14)) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -y - 2*r + 15, 5*r = -4*y - 5. Let s(m) = -6*m**3 - 4*m**2 + 7*m - 7. Let h(q) = -q**3 - 1. Let v(t) = y*h(t) - s(t). Give v(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 16*b**2 - 1566*b + 1356. Let r be i(97). Let v = -0.2 + 0.3. Put 2\/3, r, -10, v in decreasing order.\nAnswer: 2\/3, v, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q**2\/11 + 14082104*q\/11 - 6197051658338\/11 = 0.\nAnswer: 1760263\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(68)*4 + sqrt(68)) - (sqrt(68) + -2*(sqrt(68)*-1 + sqrt(68))))\/(sqrt(900) + sqrt(4) + (sqrt(4) + sqrt(4)*-1 + sqrt(4))*-1 + sqrt(4)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 - 76838*n - 12577732.\nAnswer: 2*(n - 38582)*(n + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*z + 67*z = 15. Let q(u) = u**2 - u. Let v(t) be the first derivative of t**4\/4 + t**3 - 3*t**2\/2 - 5. What is z*q(w) + v(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + g**2 + g + 587. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70625752*d**2 - 18*d - 26286 wrt d?\nAnswer: -141251504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266217764?\nAnswer: 2, 66554441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 3*v - v)*(46*v**2 + 23*v**2 - 1294*v**2) + (-2 + 2 - 2)*(0*v + 0*v + 3*v**3).\nAnswer: 1219*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.18 + -0.08. Let d = 4.12905 + -0.12905. What is the nearest to j in -5, d, 1\/15, 5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(1\/5))*f)\/f)**(-27)\/((f\/(f\/(((f*f**(-2\/7))\/f)\/f*f)*f))\/(f*f*(f**(-10)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z\/(z*z**(2\/23))*z*z**10*(z*z*z**(-18\/11)*z)\/z*z**(-20))**(17\/6) assuming z is positive.\nAnswer: z**(-9639\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 21*z**2 + 11. Suppose 35 = -4*a - 0*q - 3*q, -3*q = -a + 10. Let n be h(a). Let u = 1167 - n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65.943 + 66. Let w = r - 0.153. Round w to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 389117 + 128?\nAnswer: 389245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/(-12))\/((-1)\/10). Calculate the greatest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 + -119. Suppose -366 = 13*y - 7*y. Let g = y - t. Solve 3*h = 2*a - 0*a + 3, h - 1 = g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 24 = -198*k + 195*k, 4*k - 20 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*3\/((-18)\/(-112)). Suppose 3*p - 136 = -4*r, 2*r + 217 = 5*p - r. Let x be 2\/(-6) - p\/(-6). What is the highest common factor of x and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15878607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c*m*v**2 - 71*c*v**2 - 381*c*v - 16*m*v**2 + 36*m*v - 18*v**2 wrt v.\nAnswer: -4*c*m - 142*c - 32*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2497 + 14347. Let l = c - -1370. Round l to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1988*n + 6 - 9437*n**2 - 3682*n + 4 + 1953*n wrt n.\nAnswer: -18874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42 and 7021056?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08027 + 13451429231.\nAnswer: 13451429231.08027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -8520000 rounded to the nearest 100000?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9391.87 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -216 in -0.01, 3\/23, -5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 11280663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 12:41 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/(sqrt(50) + sqrt(250)\/sqrt(5)) + sqrt(76)\/(sqrt(4)*-2) + -6*(sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(19) + 1)))**2.\nAnswer: 696*sqrt(19)\/5 + 64816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -73543926 divided by -3\nAnswer: 24514642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15291166 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-16)*c*c\/(c\/(c*c*c*c*c**(-13\/4)*c*c))*c*c assuming c is positive.\nAnswer: c**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1333\/3192 - 5\/456. What is the third biggest value in 15\/7, 0.3, t, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + s - 11, 5*s + 1 = 6. Solve -3*k + 8 = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 218 - 216. Let f be w\/4 - 3\/(-2). Put -1, f, 3, -2 in increasing order.\nAnswer: -2, -1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -478 = 13*g - 5795. Let s = g + -406. Solve -5*a = 5, 4 + 13 = 5*i + s*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n - 2. Let k = 1 + 1. Let f be o(k). What is the closest to -0.2 in 5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 8. What is the remainder when 9 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 7*g**2 + 13. Suppose 5*o - 5 - 30 = 0. Is v(o) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-287)\/280 - -1 - (-2)\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -61.\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84210*a + 84204*a - 5*q - 53 = 0, -35 = 5*a - 5*q for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8031993 is divided by 12415?\nAnswer: 11903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + u**2 + u + 4. Let k be m(0). Let j = -109 + 99. Let v = j + 6. Sort v, -0.1, k in decreasing order.\nAnswer: k, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-2\/23)*z)\/(z*(z\/((z\/(z*z**(-3\/2)*z))\/z))\/z))**(-7) assuming z is positive.\nAnswer: z**(-133\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 620\/(-6)*(-144)\/80 + -4. Let f = 185 - v. Let z(u) = u**2 - u. Let r be z(-3). Calculate the greatest common divisor of r and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.6761282 millennia?\nAnswer: 6.761282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -418*n + 7*n**3 - 9*n**3 + 58*n + n**3 + 176*n.\nAnswer: -n**3 - 184*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 0.8, -4.\nAnswer: -5, -4, -2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 0.02, 4, -2\/5 in increasing order.\nAnswer: -2\/5, 0.02, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 27 = 19*y - 22*y, -23 = m - 5*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 566800 to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 643932 and 12?\nAnswer: 643932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -10*c**2 + 1. Suppose -2*b = 3*q + 1199, -2*q + 2*b - 2025 = 3*q. Let m = q + 404. Calculate z(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 11) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1499907 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20\/9*l - 50\/9 - 2\/9*l**2.\nAnswer: -2*(l + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 3*m + 3. Suppose -m*o + 40 = 4. Let g(s) = -s**3 + 11*s**2 + 11*s + 12. Let l be g(o). Solve l = -0*j - 2*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31332 is divided by 31319?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*t + 280*t - 3 + 3.\nAnswer: 381*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16411*g - 6460*g**2 + 6312*g**3 - 16409*g + 32820*g wrt g.\nAnswer: 37872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 279 = -369. Let d = x - 74. Let v be 8\/(d + 4) + -3. Solve v - 6 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -94.8361944 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-11\/2)\/k)\/(k\/k**(-12)))\/(k*k**(21\/4)*k)**(2\/19))**(-1\/5) assuming k is positive.\nAnswer: k**(77\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*l, -4*h - l + 87 - 11 = 0. Let b be (5\/(-3))\/(2\/(-6)). Solve h = b*x - 3*d + 4, -2 = -5*x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*f + 2240 = 146*f. Calculate the highest common factor of f and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1800\/8357 + 4123573\/7588156. Let l be (-19 + 20)*(675\/(-681) - -1). Let p = l - y. What is the smallest value in -1\/5, 0.01, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26\/(-7) + (-10)\/35)*(403\/26 - 20).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-five quarters of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 842\/5*(7 - 12\/(-4)). Suppose n - 338 = -f, -4*f + n = f - x. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 38*r + 341. Calculate x(19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2404077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.3, 0.5, 0.05, 2.5 in decreasing order.\nAnswer: 2.5, 0.5, 0.05, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 52 = 4*i, -57 = i + 2*s - 65 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 + -27 - -5 - 11) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + -21. Solve -2 + h = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04883 + 0.15883. Let p = -18698\/825 - 2\/825. Let r = 22 + p. Which is the third smallest value?  (a) s  (b) r  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*x - x + 13133 - 13121 + 26*x.\nAnswer: 49*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 55*n + 4*n + 7*n)*(-14 + 34 - 33)*(-2 - 1 + 2)*(2 - 4 + 3) to the form b + c*n and give c.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 1 - 15*y**2 + 32*y**2 - y - 18*y**2. Let m(x) = 4*x**2 + 3. Give -4*m(u) - 12*r(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 49754229615 + -0.003\nAnswer: 49754229614.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.5 - 0.5. Let v = -6 - -9. Sort 0.4, v, a.\nAnswer: a, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {u: 2, g: 3, f: 1, a: 4, j: 2, k: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -124\/19 - -3677\/380. Find the common denominator of (-10)\/(-16)*(-79)\/(-10) and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 44 + 4*n + 55 - 52 + n to the form f + b*n and give f.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 - (39 - -4))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 314652 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -1. Let z = -0.6 + -0.2. Let a = 0.4 + z. Sort -2, a, s.\nAnswer: -2, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -286 + 401. What is the highest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1684 and 44.\nAnswer: 18524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.524739 + 4.\nAnswer: 9.524739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-1))\/(392\/588)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 - ((2 - -2) + 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 16*a - 2. Let y(h) = -18*h + 3420 + 7*h - 20*h - 3416. Give -7*k(p) - 4*y(p).\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 - -38. Suppose 0 = -3*s - 4*x + 35, -s = -4*x + 22 - 7. What is the second derivative of 42*z**s - 36*z**5 + k*z + 2*z**4 - 2*z**4 wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 424543, 1698026, 3820455, 6791830?\n\"Answer: 424473*n**2 + 64*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8347 + 4?\nAnswer: 834b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -2\/9, -6041\/11, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*l - 874 = 2506, 0 = -4*c + 4*l + 4496. Calculate the lowest common multiple of 448 and c.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -686 - -2092. Let o be p\/12 + (-12)\/72. Suppose 0 = 5*t + 4*k - o, -2*t - 54 = -4*t - 4*k. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/8)\/((-2)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 629 - 628.9. What is the closest to 1\/2 in -2\/7, x, -0.3, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l + 83*l**2 - 2*l.\nAnswer: 83*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/1074224 and -103\/240?\nAnswer: 16113360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of c**4\/12 + 7*c**3 + 25*c**2. Is s(15) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -4*q + 3255 - 3195, 14*q = k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 + 7 + 3 = 4*z + s, s + 7 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 140\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 7730 = -2659. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -245588700 to the nearest 1000000.\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 13. Let t be (-4)\/3*(-9)\/d. Suppose -4*x = 0, -t*i - 5*x = 2*i - 8. What is the greatest common divisor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28635 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(300)*4 + sqrt(300) + (sqrt(72)\/sqrt(96))\/sqrt(4).\nAnswer: 841*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 34\/(-6) + ((-13)\/3 - -5). Sort 0.4, 4\/7, c in descending order.\nAnswer: 4\/7, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/s**(19\/5)*s)*s\/(s\/s**(2\/89)*s*s))\/((s*s**23)\/s**(-7\/9)) assuming s is positive.\nAnswer: s**(-95941\/4005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 - c**3 - c**4 + (c**2 + 0*c + 0*c)*(0 - 2 + 3)*(-c**2 + 4*c**2 - 2*c**2)*(4 + 6 + 1) in the form w*c**4 + j*c**2 + a + n*c**3 + k*c and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187 - 107 = -3*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 4*c - 1. Let d(o) = 3*o - 1. Suppose 0*i + i - 4 = 0. Suppose -i = -6*r + 8. Let x(y) = y**3 - 1. Let g be x(r). Give g*d(t) - 5*v(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -10158942 at most as big as -111748354\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eppepeppxppppxgg. What is prob of picking 1 x and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -84 - -22. Let b = f + 35. Let l = -26.9912 - b. Round l to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l + 9*l = 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 355*r - 1. Let x(v) = -444*v + 1. Let g(f) = -5*j(f) - 4*x(f). Let l(o) = 8*o - 20. Determine -14*g(d) + 2*l(d).\nAnswer: 2*d - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6\/13, -0.1, 1\/4, -20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -40 + 42. Solve -p + 0*p = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -7, -1382?\nAnswer: -1382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 - 87 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/6*39\/26 + 110. Suppose -g = -q - 107. Solve 16 = 2*j + 5*c - 9, 30 = 3*j + q*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -1\/135*l**6 + 0*l**3 + 0 + 0*l**2 + 1\/54*l**4 - 1\/90*l**5 - 113*l + 1\/189*l**7. Factor i(b).\nAnswer: 2*b**2*(b - 1)**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2390 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 120, 1\/5, -32\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-9 - (-25 - -46))) + -108.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, l: 10, k: 4}. What is prob of picking 1 k and 1 q?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46.9 - 73. Let l = x + 26. Which is the smallest value?  (a) 0  (b) -4\/9  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40 + 57 + 18)*(-3*d**5 - 19*d + 19*d).\nAnswer: -345*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24131404?\nAnswer: 2, 11, 548441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -32, -40, -54, -74, -100?\n\"Answer: -3*v**2 + v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*v = 90*v - 5*q, 0 = 2*v + q - 13. Let t = 131 + -86. Calculate the highest common divisor of v and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 8*b - 26. Solve 0 = 4*o - 3*o - b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 82 - 22*n**3 - 46*n**3 + 5*n - 85 to the form z*n**2 + m + g*n**3 + d*n and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1477656 - 35.199164.\nAnswer: -35.3469296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 4 = 5*k, 2*k + 7*m + 3 = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30961*r = 30958*r + 4*u - 6*u - 40, -6*u = -4*r - 62 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**2 + 94*d*z**2 + 1044*z**2 wrt d?\nAnswer: 4*d + 94*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 961230713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 63361189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29937, -29338, -28739?\nAnswer: -28140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0*2\/(-4) + 28\/7. Suppose u + 39 = 3*o - 2*u, -25 = -o + b*u. Suppose 0 = 2*x - 2 - 0. Calculate the highest common divisor of o and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53240 rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.93 and -0.12.\nAnswer: -0.2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 36447587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.65474 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 2*j)*(46070 - 33857 + 18442) to the form p*j + z and give p.\nAnswer: 61310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51102 divided by 5.\nAnswer: 51102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 7. Let b be o(-7). Let q = b + -1. Let i be (q - 6\/(-9))\/1. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16906*v + 199964 - 398100 - 266617 = 786291 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/88?  (a) -0.1  (b) -2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -477, -486, -509, -552, -621, -722, -861?\n\"Answer: -h**3 - h**2 + h - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5444 + 5441. Let z = 0.045 + 0.345. Let d = z + -0.09. Which is the nearest to 1?  (a) 1  (b) s  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 1\/2*v**4 - 3\/2*v**3 + 1\/2*v**5 + 5\/2*v**2 - v = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2556953 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*f*m**3 - 22*f*m + 16*m**3 - m wrt f?\nAnswer: -3*m**3 - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(2057) + 1 + sqrt(2057) + 5.\nAnswer: 2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of -10*a**2 - 4*a - 23 - 1\/3*a**3. What is the smallest common multiple of 30 and m(-19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -28*f - 201. What is y(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-3))\/(2\/(-15)). Suppose 20*x - 18*x = 30. Calculate the highest common factor of n and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2400 and 5840640?\nAnswer: 29203200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 72421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5139549048.\nAnswer: 2, 3, 173, 1237849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 32256 divided by -5376?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 22645\/(-3)*(-285)\/475. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 4. Let z(o) = 11*o**2 + o - 1. Let k be z(i). What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 302748 and 14136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 > 802\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -61\/11295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.5 in 0.1, 3, -0.2, 18\/5233?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, -2, 125576, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -222, -219, -216, -213?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 10 = -5*r, -23*r = -25*r - 6*g - 34. Which is the nearest to 1\/31?  (a) r  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 4*j + 14703 = -8768, -2*j = -5*l + 39137. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j + 1042 = 226. Suppose -16*z - 1792 = -j*z. Is 55 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 7.6, 50, 1\/4 in increasing order.\nAnswer: -3, 1\/4, 4, 7.6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1 + 0.06. Let o = -96.61 + 96.11. Which is the closest to j?  (a) 5  (b) o  (c) 2  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 7 = -2. Let d be (-1)\/m - (-295)\/25. Suppose -3*c = -4*x - d, c + 0*c - 4 = 3*x. Sort 5, x, -1 in decreasing order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3762.61 and -0.11.\nAnswer: -413.8871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 7*b + 3. Suppose -4*g + 5*s = -30, g + 5*s = -0*g - 5. Suppose 5*p - 1 = -4*x + 1, g*p + 7 = -x. What is n(x)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -6 + (-245)\/35 + (-1186)\/(-120) and (1*2)\/((-5)\/2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2. Let m = 3 + 27. Let h be (12\/m)\/(4\/10). Let b(o) = 9*o**2. What is h*b(j) + 12*g(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 495453 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 407\/597 - 3\/199. Put -4, -3\/4, m, -29 in ascending order.\nAnswer: -29, -4, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.4 + -5. Let k = 1.03 + -6.93. Let j = k + 0.9. Which is the closest to -2\/9?  (a) -3  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 49580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -13321000?\nAnswer: -13321001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -0.1, 0.9, 5, -990?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 248 = 172. Suppose 371*l - 377*l + p = 0. Solve -4*s - 5*a - l = 16, -5*s = -a + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/60*1 + 2164\/300 + -7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/4 - (-2)\/4*1. Suppose 4*y + 2*o - 12 = 0, -y + o + x = -5. Suppose 0*k + 250 = y*k. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.87?  (a) -1\/8  (b) -0.1  (c) 6  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x - 1. Let u be j(-1). Let r be (u*1)\/((-88)\/(-4)). Let d be ((-2)\/4)\/(14\/(-8)). Put 4, r, d in descending order.\nAnswer: 4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201 + -221322100112?\nAnswer: -221322033311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6678*u + 6669*u + 5*r = 13351*u + 79, -2*r = 2*u - 28 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5020 + 8927. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 331981 + -122?\nAnswer: 33185e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 11:38 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 2\/15, -0.6, 4, 3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 - 4*z - 2*z - 12 - 88.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -12.9999912. Round m to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 5:42 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 32228 and -0.118.\nAnswer: -3802.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (73 + -47)) + 61?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*q + 50 = 0, 4*q = -p + 2 - 12. Let d be 22\/p + 2 + 0. Is d greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 1:16 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 5:11 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 76073, 75786, 75499, 75212, 74925, 74638?\nAnswer: 74351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*j = 65*j - 40628. Let g = j + 29249. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2533653812 to the nearest integer?\nAnswer: 50335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 470333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 34. Suppose 0 = 7*r + 5*r + 276. Let k be t(r). Solve -5*f - k = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 6*a - 31. Is 4 a factor of m(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7*w + 8. Let j = -17 - -23. Let o(k) = -2*k - 2. Suppose 352 = 44*y - 28*y. What is j*b(s) + y*o(s)?\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/20 and -73\/756?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(72\/12))\/(1\/(9\/(441\/(-35))))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -64, -89, -110, -127?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 1, 4, -4, 3, 5 in increasing order.\nAnswer: -16, -4, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3545, -3555, -3565, -3575, -3585, -3595?\n\"Answer: -10*r - 3535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -7*h + 33110, -3*h = 7*v - 4*v - 14190. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*t**2 + 12*t**3 - 59*t**2.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239*v = 230*v. Let x(t) = -2*t**2 + 35*t + 689. Is x(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2. Suppose -i = -q - 6, 4*i + 14 = -4*q + 6*i. Let n = 8 - q. Let b(y) = -1 + 0 + n*y**2 + 1. What is f(b(z))?\nAnswer: 162*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a kilogram in grams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o - 12. Let r(h) = -2*h - 12. Let f(j) = 3*b(j) - 2*r(j). Let z be f(12). Suppose -g + 0*k = -4*k - 5, -k - 1 = z. Put g, 3, -5 in descending order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 9, 2, -1574?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -102, -88, -70, -48, -22?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.39 - 31.39. Let y = 30.999971 + t. What is y rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 289.1 - 271. Let z = -8.9 - k. Let p = z + 24. Which is the closest to p?  (a) -5  (b) 1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 192 and 330?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55\/(-20)*222\/(-814).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**8*c)\/(c*c\/(c**(-2\/11)\/c)))**(-1\/17) assuming c is positive.\nAnswer: c**(-64\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 + 42*p**2 + 275*p - 726.\nAnswer: (p - 2)*(p + 11)*(p + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -22*q**5\/5 + 231*q + 44. Differentiate g(v) wrt v.\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -4*r + 112, 5*r = -u + 114 + 30. Let m = 59 - r. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 124000 and 43900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 0)*(-a - 2*a + 5*a)*(-2*a + 3*a + 4*a)*(-27*a - 18*a - 29*a) to the form b*a**3 + c + w*a**2 + f*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16571604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) -4  (c) -2483  (d) 9  (e) -1.2  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-4) - 11\/(-4) - 3. Suppose 134 = 2*k + d, i*d - 3*d + 272 = 4*k. Suppose 0 = 6*q - 7 - k. What is the smallest common multiple of 6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -8*o**3 + 13*o**2 + 302*o - 41. What is b(-7)?\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 7*u - 4*u + 10, 5*u = -20. Suppose -3*q = v*f - 70, -q - 3*q + 105 = 5*f. Suppose -n - q = -75. Calculate the highest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20\/5*9\/2. Let q = -7 + r. Calculate the remainder when 19 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2869158 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 76 + -76.43. Let n = q + 0.73. Let k = -33 - -33.2. Which is the nearest to k?  (a) -4  (b) -0.1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 4*i - 4. Suppose -2*b - 3 = 7. Let k be x(b). Let y = 2 + k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 26*h - 16 - 22*h - 2*h**3 + 6*h + 15*h**2. Let p be y(8). Solve 4*f - 2*g = -p*g - 16, -4*f = 2*g + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -2\/15  (c) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14396 or 14389?\nAnswer: 14396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20*i**4 + 2223*i**3 + 170103?\nAnswer: 80*i**3 + 6669*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -b52 (base 13) in base 8?\nAnswer: -3606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1408, -5211, -11534, -20365, -31692, -45503, -61786?\nAnswer: -80529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 769 divide 22004536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*a + 83 = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 54*j**2 + 381*j + 60. Calculate o(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 183401610?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11056  (b) -48\/5  (c) -8  (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/7))**(2\/47)\/(w**(-2\/7)*w)**(-47))**(4\/3) assuming w is positive.\nAnswer: w**(14732\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -2*g - 8. Let c be ((-1)\/3*4)\/(22\/(-33)). Differentiate -1 + 0 + g - 4*n**c wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -3*a + 1, 3*a + 9 = 5*o - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*c + 18*c = 5*c - 1680. Calculate the remainder when 265 is divided by c.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 + 18*n**2 - 13*n + 116. Calculate v(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*g**5 + 40*g**3 - 337*g**2.\nAnswer: 240*g**2 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -190 divided by -5\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 + 7*z**2 - 243 + 38*z**2 - 189*z + 6*z**2.\nAnswer: -3*(z - 9)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16277.3 + 16277. Which is the biggest value?  (a) q  (b) -4  (c) 1  (d) -2\/185  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u = k + 8, 172 = 4*u - 3*k + 188. Let y(t) = 7*t**3 - 3*t + 1. Let m(b) = -8*b**3 - b**2 + 3*b - 2. Let q(p) = -2*m(p) - 3*y(p). Calculate q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7847*h + 45 = -7844*h - 3*q, -5*h = -2*q - 66 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -404*u**4 - 2*u + 589.\nAnswer: -4848*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.30367011 rounded to 2 dps?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**2 + 1269812*r = 0. What is r?\nAnswer: -317453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 177243019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 m, and 1 z when three letters picked without replacement from {z: 6, m: 1, a: 4, n: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 829199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - -52 - (-66 - -47)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of p**5\/40 - 3*p**4\/32 - p**3\/8 + 7*p**2\/16 + 3*p\/4 - 86. Find i such that r(i) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u**3 - 20*u**2 - 45*u + 565. What is j(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 + 36. Solve -3*w - 4*z + 6 = 0, -4*w - 2*z = -y*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-4)*0\/(-5). Suppose -27*t + 25*t - 4 = j. List the prime factors of -5 + 29 - (t - 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 11*c**2 + c - 34. Let u be j(-14). Suppose -3*f = -18*f - u. Is f equal to -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b108a (base 16) to base 15\nAnswer: e4cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -601125, -601127, -601129?\n\"Answer: -2*y - 601123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -604 times 4?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15001*k + 15016*k = 271605. What are the prime factors of k?\nAnswer: 19, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d**2 - 4 + d - 5 - 10*d. Let c(p) = 4 - 214*p**2 + 2*p + 0 - 2 + 215*p**2. Determine -9*c(z) - 2*q(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 206959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 5*c**2 - c - 3892. Let n(h) = 3*h + 483. Calculate y(n(m)).\nAnswer: 45*m**2 + 14487*m + 1162070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-6*(0 + sqrt(3087)) + sqrt(3087) + 2*sqrt(3087) + 5)**2.\nAnswer: -27808 + 630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -2 - 3 - 1) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o - 6. Let t be x(-5). Let b be (9 + -8)*(2 + -1). Sort b, t, 0 in decreasing order.\nAnswer: t, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*c = -5*x + 39, 24 = c + 2*x. Suppose 0 = -2*v + 4*y + c, -y = 2*v + 2*v + 8. What is the nearest to 2\/7 in 2\/3, v, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-4\/7))\/(o**(-3\/13)\/o) assuming o is positive.\nAnswer: o**(151\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -685*b = -667*b - 245286. Is b a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 704aa61 - -22?\nAnswer: 704aa83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -3*n + 165949, 0 = -3*n + t + 251628 - 85714. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 6*y - 9. Let g be c(7). Let f(d) = 374*d**3 - d**2 + d - 2. Let o be f(g). Round o to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2026 - -2084. Solve -59*o = -i*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -227.4 - -227. Which is the smallest value?  (a) 7  (b) q  (c) 5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5\/2847 + -33831\/9490. What is the common denominator of q and 19\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 108*a**3 + 10*a**2 + a - 5. Let n(s) = s**3 + 2*s**2 + s - 1. What is i(f) - 5*n(f)?\nAnswer: 103*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.224 times 52.95\nAnswer: 11.8608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 20*x**2 - 10*x. Let t(z) = 7*z**2 - 3*z. Let h(f) = 6*a(f) - 17*t(f). Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.140431 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -435, -1038, -1955, -3228, -4899?\nAnswer: -7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(170) + (sqrt(170) - (-5*sqrt(170) + sqrt(170) + sqrt(170))*-4) - sqrt(170))\/sqrt(10).\nAnswer: -11*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g**3 - 85*g - g**3 + 140*g + 3*g**3.\nAnswer: g**3 + 55*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -834, -802, -772, -744, -718?\n\"Answer: -t**2 + 35*t - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 5\/(-2 - (-52)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 274.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*p + i + 4*i, 0 = -p + 3*i + 5. Suppose -p*g + 0*g = -16. Solve 2*t = -g - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 304. Let t(m) = -2*m**2. Calculate h(t(u)).\nAnswer: -4*u**4 + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -2\/7, -0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o + 25. Calculate the remainder when r(0) is divided by (-2)\/4 - (-27)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6171 and 13733841.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.024 and -2?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 34. What is the units digit of (-9)\/(-27) + 286\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 6. Suppose 4*z - 28 = -2*v + 12, a*z = -3*v + 51. What is the remainder when 17 is divided by ((-12)\/v)\/((-2)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2*(sqrt(156) + sqrt(156)*2) + -5*(sqrt(156)*-1 + sqrt(156))))\/((sqrt(108) + (1*sqrt(108) - sqrt(108))*6)\/(3*-1*sqrt(9))).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/4)\/(z\/(z**(3\/4)\/z)*z*z))\/((z**22*z)\/z**(-34)) assuming z is positive.\nAnswer: z**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 5*k**2 - 6*k + 7. Let f be g(-6). Let h = f + -5. Suppose -26 = -5*p - 4*a, h*a = -3*p + 9 + 7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 11*c - 3. Give w(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10169851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -356*u = 8662 - 16070 - 12884 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 - 3*d**2 - d + 4. Give u(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 0*j + 5\/6*j**3 - 15 + 2*j**2 - 1\/3*j**4 + 1\/8*j**6 + 0*j**5. What is the second derivative of n(c) wrt c?\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**4 - 1884*f**3 + 347602*f**2 + 1884*f - 347600 = 0. What is f?\nAnswer: -1100, -1, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 12 - 2 = 3*p, 4*x + 13 = 3*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21242 + 424733\/20. Find the common denominator of l and -1 - 2*(-79)\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -406 - 10*(-6)\/12. Is (-3 + 1)\/2*d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -104*q**2 - 2*q - 6. Let s be m(5). Let p = s - -15779\/6. Let j = -94 - -64. Find the common denominator of p and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/(w*w**(1\/6)))\/(w\/(w*w**(-2\/7)*w*w*w))*(w*w*w**2)\/w**(-1\/2) assuming w is positive.\nAnswer: w**(169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z - 27. Let y(h) = -2. Let q(j) = o(j) + 12*y(j). Let f be q(20). Solve f = -4*t + 21, 3*r = 2*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, -89, -292, -579, -950, -1405, -1944?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.089 - 0.979. Let d = 0.994 + j. What is d rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/28 + 15687\/134064*-4.\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1585 - 1609. Let o = 7\/130 + 9\/26. Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 1671*a**2. Let j(h) = 2*h**2. Calculate j(v(x)).\nAnswer: 5584482*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 962764 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 0, -11.93, 5, 0.22, 3, 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -20 + -32 - -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 10. Let b be d(5). Suppose b = f - 0*s - s, 3*f - 4*s = 10. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17240627.\nAnswer: 17240627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*y + 9*y - 7522 + 7550 + 4*y + 2*y.\nAnswer: 2*y + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s - 2*d = -21 + 31, 5*s = 4*d + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zsp when three letters picked without replacement from szpszss?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1489769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x = -28*x - 5*q, 5*q = -2*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 408.8895ml in litres?\nAnswer: 0.4088895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 8898*a**2 - 12516. Let i(d) = d. Determine i(u(l)).\nAnswer: 17796*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -11*g**3 + g**2. Let j be r(1). Let t be (-4)\/j + (-36)\/(-60). Solve -t = 2*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29512164 and 12.\nAnswer: 29512164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 716 = -12*b - 1048. Let i = b - -262. Put -2, -4, i in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.129 + -0.855. Let q = y - 0.016. What is the nearest to 2 in -0.1, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - v. Let f be s(2). Factor 0 - 1\/4*q + 1\/2*q**3 + 0*q**4 - 1\/4*q**5 + 0*q**f.\nAnswer: -q*(q - 1)**2*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 10. Let v = w - 5. Suppose -34 = -4*x - v. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j**3 + j**2 - j**3 + 0*j**3)*(-2*j + 0*j + 3*j)*(-9 + 12 - 6 - 2*j).\nAnswer: -8*j**5 - 14*j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 31*z**2 - 176*z + 9. Let u(o) = 82*o**2 - 529*o + 28. Calculate 8*a(c) - 3*u(c).\nAnswer: 2*c**2 + 179*c - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -8  (b) -1\/17  (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 457680 is divided by 35166.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.5 or -5044500?\nAnswer: -5044500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**2 - 2*h**2 + h**2 + 11*h**2 to the form j*h + m + r*h**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1636 and 3?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2179327 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1652825 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 147130 - 0.8.\nAnswer: 147129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 95*d - 10. Let l be g(-11). Let m = -9485\/9 - l. Let x = 1242 - 6188\/5. Calculate the common denominator of x and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-572)\/(-4) - 6\/2. Suppose 4*k - 56 = 24. What is the greatest common divisor of k and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-24)\/12))\/(1\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 6*t + 5. Let o be l(-6). Suppose -3*b = -o*i + 1820990, -b = 3*i - 367783 + 974789. What is b rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -59178587.\nAnswer: -3\/59178587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 30\/7  (b) -4\/13  (c) 5  (d) 4  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -9b3?\nAnswer: -9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 7:37 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 386.1629mm to meters.\nAnswer: 0.3861629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 106 = 5*x, -1103*x + 5*f - 37 = -1106*x. What is the smallest common multiple of x and 4820?\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -604 - -684. Let j(v) = v**2 - 3*v - 3. Let h be j(4). Let y be (11125 + (h - 1))*b. Round y to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1534.\nAnswer: 2\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -v**6\/60 - v**5\/30 - 5*v**4\/24 - 2*v**3\/3 + 2*v**2. Let g be d(-3). Let u = g + -26. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57 + 109. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -171, -344, -517, -690, -863?\n\"Answer: -173*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-5) - (-34 + 36 + (-468028)\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -27, -21, -15, -9, -3?\n\"Answer: 6*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61 + -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 774?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8853145, 8853143, 8853141, 8853139, 8853137?\nAnswer: 8853135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 - 4. Let s be r(-2). Solve s*n = n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5000 is divided by (-2 - -13)\/(((-588)\/(-91))\/6 - 1)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 552 = 3*o - y, o = -y + 114. Suppose 3*g = 3*a + o, 5*g + 2*a - 104 - 88 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13692782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1518, 1507, 1482, 1437, 1366, 1263?\n\"Answer: -k**3 - k**2 - k + 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187 = 4*u - 26*u + 11 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 498365 by -19.\nAnswer: -498365\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 12*f - 15. Let o be t(-7). Suppose 2*j - o = -3*j. What is the second derivative of -11*h - 2*h + 11*h**j + 2*h wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 760008.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2. Let x = 17 - 13. Let a(u) be the second derivative of 0*u**3 - 1\/6*u**x + 0*u**2 + 0 + u. What is v(a(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24 - 8.52859.\nAnswer: 15.47141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 - 104*u + 69. Calculate o(36).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 700904021 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + 1. What is the tens digit of -3 + 2*j\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 10 = -4*r, 3*w = -r - r + 1. Let j be w*(-14)\/(-2) + 1. Sort 1, j, 3 in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 1:21 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/11132960 and -65\/14.\nAnswer: 77930720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 51 and 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d. Let n(c) = 0*c**2 - 12*c**2 - 6*c**2 + 8*c**2. Determine x(n(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 22 = -2*z - 7*a, 1205*a - 49 = 5*z - 1203*a + 2405*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 - 3380*k + 831888.\nAnswer: -2*(k - 218)*(k + 1908)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 308945?\nAnswer: 5, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 + 46. Suppose -5*v = -5*l + 106010, -35905 = s*v + 3*l + 70089. Round v to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3. Let y be s(0). Suppose 0 = -5*t + 4*z + 13, -2*t + 7 = -z - y*z. Let a(j) = 6*j + 1. Let f(v) = 5*v + 1. Calculate t*f(m) - 4*a(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*i*j**4 - 7*i*j**2 - 2*i*j + 6*i + 866*j**4 + j**3 - 32*j**2 wrt j.\nAnswer: 432*i*j + 20784*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 9*p + 14*p = 24, 2*n + 5*p - 28 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -4\/3  (c) -3  (d) -0.2  (e) -0.014\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 25*n**2 - 42*n - 59. Let s be u(23). What is the greatest common factor of s and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5e3 (base 16) to base 2.\nAnswer: -10111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8, 282, 1038, 2516, 4956, 8598?\n\"Answer: 40*b**3 + b**2 - 9*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2336 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*q - 2*q. Suppose -10 = -q*v + v. Differentiate 1 + v + 0*t + 2*t - 5*t with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76428035 to the power of 1\/2, to the nearest integer?\nAnswer: 8742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + -33 + (6 - 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**4*s**0*(((s\/(s**25*s))\/s)\/s)\/(s*s**(-17)*s) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 43631 minus 101299.7?\nAnswer: -57668.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33690180 and 1984?\nAnswer: 539042880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2784520, 5569042, 8353564, 11138086?\nAnswer: 13922608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 31f (base 16) to base 15\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 217*j + 4 - 61*j + 6.\nAnswer: 156*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 110210 - -320121?\nAnswer: 430331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9062997 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -10*t - 29. Let w(q) = -9*q - 22. Let y(c) = -3*f(c) + 4*w(c). What is y(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 3 = -5*y + q, 10 = 5*y - 5*q. Suppose -10 + y = -3*w. Let x be (-2)\/4*4*-2. Solve w = i - x*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 230*f + 3*f**2 - 4*f**2 - 175*f - 1294*f.\nAnswer: -f**2 - 1239*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 966, 4, -223, 29, -2 in decreasing order.\nAnswer: 966, 29, 4, -2, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23094 and 18.\nAnswer: 23094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 2*d**2 + 26*d - 51*d - 6 + 21*d - d**2. Determine b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s**2 - 9*s. Let c(f) = f**2 + 2*f. Let r(w) = -2*b(w) - 9*c(w). What is h in r(h) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 7*a**2 + 13*a - 11. What is the remainder when y(8) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.6?  (a) -8  (b) 0.19  (c) -0.028642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of -c**5\/105 + 8*c**4\/21 + 891*c**2. Factor z(a).\nAnswer: -4*a*(a - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 3 + (256 - 251) + 4 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -865 - -915. Calculate the remainder when 197 is divided by m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 5*q**2 - 15*q + 4. Let x be p(7). Sort x, -16, 4, 1 in ascending order.\nAnswer: -16, x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 81344 and 61752.\nAnswer: 20254656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 12.2. Let s = t + 9.8. Let g = s + -8.7. Sort g, 0.4, -0.1 in increasing order.\nAnswer: -0.1, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 - 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 71*18\/(-66)*(-1584)\/(-432)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/(-20)*(-17)\/51. Which is the closest to -0.1?  (a) i  (b) -3  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -t**2*v**2 - 2*t**2*v + t**2 + 14*t*v**3 + 10*t - 2*v**2 - 14*v wrt v.\nAnswer: -2*t**2 + 84*t*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**3\/21 + 180994*h**2\/3 + 66882396080*h\/7 - 66882818400\/7 = 0.\nAnswer: -316740, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 743396.\nAnswer: 2, 185849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 6235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, z: 3, x: 1}. Give prob of picking 2 x and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59095 - 37098. What are the prime factors of t?\nAnswer: 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -5*f**3 - 5*f**2 - 5*f - 2. Suppose 0 = -3*y - 2*y - 10. Does 4 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*a + 0*a + 301 = 0, 4*f - 1192 = -2*a. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three quarters of a meter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 1\/2, -7, 0.4, 0.2821, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (56\/42)\/((-2)\/(-27)). Let b = h + -14. What is the remainder when 14 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 2646916008.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/390 and 119\/270?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1923\/7 + 17734\/63. Find the common denominator of -57\/2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 6*o**2 + 2*o + 1. Let f be g(-1). Suppose 4 - f = -z. What is the greatest common divisor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19259 or -19257?\nAnswer: -19257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*j**5 + 189*j**4 - 67*j**3 - 6*j**2 - 7*j + 890?\nAnswer: 120*j**2 + 4536*j - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.01 + -70.01. Let g = 38.8 + b. What is g rounded to 0 dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8398*0.02.\nAnswer: 167.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 50*c - 52*c + 2*f - 28, 4*f + 49 = -3*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 - 12*n + 15. What is u(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**4 - 29*b + 28453 - 28454 - 8*b**3 + 0*b**2 + 8*b**2 to the form a*b + s + i*b**2 + m*b**3 + q*b**4 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -141*k**6 + 2*k**3 + 598*k**2 wrt k?\nAnswer: -16920*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34 and (-102)\/(-33)*-11*(-3 + 2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1064 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 348 and 31900?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {o: 4, s: 2, n: 1, r: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2576*d + 4*z = 2575*d + 8, -2 = -3*d + d - z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -75*q - 530. Let x be j(-8). Which is greater: 71 or x?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**3 + 2761*x**2 - 8312*x**2 + 243 + 2789*x**2 + 2762*x**2.\nAnswer: 4*x**3 + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 371+39084\nAnswer: 39455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247861 - 10*o - 82621 - 82618 - 82622.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 237  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -30\/7 and 3\/12*(1 + -66)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-2)*6\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-42)*(-144)\/(-960)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**20)**(1\/12)*o**28\/o**(-1\/4) assuming o is positive.\nAnswer: o**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*d = -4, -2*g = -4*d - 0*d + 4. Suppose -12*j + 3*j + 315 = g. Suppose -4*l = -2*p + 174, -416 = -4*p - 3*l - j. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5622*k + 139 - 5623*k - 47 in the form q*k + t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 3:01 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 - 2\/3*y**2 + 0 + 4\/3*y.\nAnswer: -2*y*(y + 1)*(3*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 8*s + 6. Let k = -15 - -22. Let l be v(k). Which is the closest to 0.1?  (a) 3\/5  (b) l  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4695314 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**2 - 7*w**2 - 5*w**2)*(0*w + 0*w - 2*w**3) - 8 - 5*w**5 + 8 + 128*w - 4*w**5 - 128*w - w**2.\nAnswer: 5*w**5 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(84\/8)*213\/(-2414)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 8 - 1)*(24*b**5 - 17*b**2 + 17*b**2) + b**5 - 4*b**5 + 2*b**5 + (2*b**3 + 0*b**3 + 0*b**3)*(0*b**2 + b**2 - 2*b**2) + 10*b**5 - 3*b**5 + 3*b**5.\nAnswer: 223*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8*-0.78\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cecjlccnnj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12670 + 18442 = 23*w + 16*w for w.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times 2230?\nAnswer: -89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 = -13*o + 4*o. Suppose 0 = r - 6*r - o. Let u be 2*(-1)\/(-4)*(7 + r). Which is greater: u or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6.2?  (a) 0.3  (b) -4  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 10032.063 minutes?\nAnswer: 167.20105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of 2847*f**8\/14 - 3689*f**4\/6 + 2102*f + 1. Find the third derivative of b(k) wrt k.\nAnswer: 1366560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-88)\/(-14) + (-26)\/91. Suppose -z*p = -11*p + 150. Let w = -14 + p. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24689026 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 1170780552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 249, 238, 225, 210, 193, 174, 153?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 758 + -736. Let k be 1\/(1 - (-5 - b\/(-4))). Solve -3*q - 3*v - 15 = 0, k*q - 5 = 4*q - 3*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 21909, -3, 1.\nAnswer: -3, 1, 7, 21909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32 - -35. Solve 3*r + h*y = 15, 4*y = 5*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 10\/(-6 + 5 - 1) + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1624 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k = 4*y - 13*k - 1004, 3*k - 1003 = -4*y. What is the remainder when y is divided by 244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195942 is divided by 394?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 2*t - 2*m, 2*t - 4*m - 67 = 75. Suppose -3 = 3*v, -3*g + 3*v + t = -5. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6028 - -6028. Which is bigger: y or 2\/5311?\nAnswer: 2\/5311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -140, -195, -250, -305?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 540 - 558. Suppose -3*y - 82 = -5*y. Let v = y + f. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 3 = -5*u, 14*u - 11*u + 4*g - 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in five halves of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u - 11. Let h be t(11). Suppose 6279 = -h*k + k. Let p be k\/(-51) + 12\/102. Round p to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38.6 times -0.06\nAnswer: -2.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 32 = -4*r, -5*p = -0*p. Suppose -2 = z, 0 = -3*s + s - 4*z - 6. Calculate the greatest common divisor of s and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -n**4\/16 + 229*n**3\/12 - 1595*n**2 - 10092*n + 4166. Factor m(v).\nAnswer: -(v - 116)**2*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -30*g - 99. Let h be y(-4). Let x be (4\/(-196))\/((6\/h)\/(-2)). Determine j, given that 0*j**2 + 0 - 1\/7*j**3 + x*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 1\/406, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*3210.\nAnswer: 67410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddididdid. Give prob of sequence idd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*m - 227*m - 134*m - 149*m + 68*m + 100*m.\nAnswer: -404*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 11:26 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -211?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -5*i - 55, -4*u - i + 22 = -12. Let s be (-3)\/2*(-12)\/u. Let m(k) = -k**2 + 3*k - 2. Let n be m(s). Which is bigger: n or -28\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -497, -3, 26, -2, 2 in descending order.\nAnswer: 26, 2, -2, -3, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(175))*5*-5 - (-4*(sqrt(175) + (2*sqrt(175) + sqrt(175))*6 - sqrt(175)))**2)*-5.\nAnswer: 625*sqrt(7) + 4535875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 12\/7. Let i(b) = b**3 + 3*b**2 - 4*b + 2. Let t be i(-4). Suppose m + 9 = -t*m. What is the closest to 1\/3 in -0.2, x, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 40*m**2 + 81*m + 140. Let g be n(42). Is -541*(10\/(-7) + 6\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211450*d - 211449*d + 42 = 0 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 11*t - 47. Let u be z(5). Let g(y) = 80 + u*y**2 - 7*y**2 - 74 + 4*y. Give g(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3149516131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -5*m**4\/12 + m**3\/6 + 7*m**2. Let k be v(-3). Let x = k - -113. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24794 divided by -7\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + (-35 - (12 + -19 + 3)) + 125.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 58. Suppose -3*v - g = -675. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/6 + 408\/(-9). Let s = 72 + f. Suppose -4*k + 2*u + 14 = 0, 0*k = -k + 5*u + s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13051 + -13022. Let b(a) be the first derivative of -10\/3*a + r - 4\/3*a**2 + 2\/9*a**3. Solve b(t) = 0 for t.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 13980?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 290.2\nAnswer: -116.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -2  (b) -1\/4  (c) -93.624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 158*(-3)\/(-12)*2. Suppose 3*f = 5 + y. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 12 + -9 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 44*h - 1. What is p(-1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11337177, 22674298, 34011419, 45348540?\nAnswer: 56685661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3521 + 3521 - 4*i**2 - 933*i**3.\nAnswer: -933*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1026 + 1174 - (91 - -12).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21220983379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 95\/(-32) - (4060\/4480)\/29\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 949836 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -27122 + 6*a + 6*a + 27119. Let i(b) = -4*b + 4 - 2*b - 3 + 2*b. Calculate -8*i(q) - 3*t(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*t**3 - 17 + 17)*(-89017 - 560*t + 89017).\nAnswer: -10640*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44163, 176726, 397665, 706980, 1104671?\nAnswer: 1590738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 63 = 207. Suppose -5*d + 55 = o, 0 = -4*d + 3*o + 35 + 28. Let w be (d\/(-10))\/(-1)*300\/40. What is the greatest common factor of w and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 2:25 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1477, -1475, -1471, -1465, -1457, -1447?\n\"Answer: g**2 - g - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 5. Suppose -p - l = -5*f, -4*p = -5*f - 2*p + 2. Let o(t) = 11*t**3 + 4*t - 3. Is o(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 5*j + 49, 4*j = -3 + 15. Let c(s) = -s**2 + 8*s + 5. Let l be c(6). Find the second derivative of -l*p - 5*p**3 - 10 + b - 7 wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.3 + 8634403?\nAnswer: 8634336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9435 and 53070.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.13, -2\/3, -244, -315?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1 + -3.1. Let s = -2.1 + -0.9. Let t = s - c. Which is bigger: t or -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-90)\/150*55\/121. Which is the closest to -0.6?  (a) 1\/6  (b) -4\/7  (c) g  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**20)**(1\/2)*((m**(1\/38)\/m)\/m)**(-4\/7) assuming m is positive.\nAnswer: m**(1480\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 6:46 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -12968994 less than 0.08?\nAnswer: 12968994.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -4. What is the third derivative of -2*u**3 + u**3 + o*u**2 - u**2 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -151000?\nAnswer: 150996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -138859 divided by 1673\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 141.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*l**3 + 5*l**2 - 196 - 198 + 392 to a*l**2 + c*l + d*l**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(11) + 0)**2 + 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 246.00789 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -30 + (21 + -18 - -18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 57282 by -33.\nAnswer: -19094\/11","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: 0.08 times -55932342\nAnswer: -4474587.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -722 = 6*v + 46. Let w = 5 - v. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.4 in -21, 3\/2, -0.4, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8*(-1 - (-5 + 3)). Let o be q\/(-8)*2\/(-2). Let u(s) = 2*s**3 + s**2 - 2*s + 2. Let c(n) = -n**2 + n - 1. What is o*u(f) - 2*c(f)?\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + 11*q**2 - 94*q + 140. Let k be f(-17). Solve 0 = 7*n - 6*n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of -1\/2*x**2 + 0*x + 1 + 1\/15*x**4 - 4\/15*x**3 - 1\/150*x**5. Let u(q) be the second derivative of v(q). Factor u(m).\nAnswer: -2*(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 33. Suppose 11*a + 244 = n*a. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 6 = -3*a - n, 4 = -4*n. Calculate the remainder when 6 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 + 8*f**2 - 11*f - 18. Let x be t(-9). Find u, given that 249 + 2*u**2 + x*u**2 - u**4 - 250 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 2)*((5*y**2 - 4*y**2 + 2*y**2)*(-4*y**2 - y**2 + 4*y**2) + 58 - 58 + 66*y**4).\nAnswer: 63*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - d = 145, 15 = 2*d + d. Calculate the greatest common factor of 130 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/18 - 70\/(-9). Let f = b + -4. Put f, -2, -4 in decreasing order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10028 - 9804. What is the highest common factor of 1952 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(77)\/(sqrt(22)\/sqrt(2)) - ((sqrt(7)*-1)**2 + -5)).\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -6590?\nAnswer: -3\/3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.8 - 9.6. Let g = 2.855 + r. What is g rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - y**2 - 3*y. Let w(s) = s**3 - s**2 - 4*s. Let z(a) = -4*a - 15. Let q be z(-5). Determine q*w(m) - 7*j(m).\nAnswer: -2*m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**3 + 15644942*o**2 + 156449345*o + 391123300 = 0. Calculate o.\nAnswer: -15644932, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3154333 and 1547.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of o**5\/15 - o**4\/12 + o**3\/6 + 3*o**2. Let j be w(2). What is the greatest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.2558530091 to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -1221*v**3 + 4*v**4 - 2 - 8*v + 7*v + 1222*v**3 + 3 as o*v**4 + n*v**3 + l*v + a + m*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/(-8*1\/(-12)). Suppose -8 = -4*c, -33*m + p*m - c = -857. Is 57 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2\/3 + 89396440*o\/3 - 178792928.\nAnswer: 4*(o - 6)*(o + 22349116)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 859707, 1719570, 2579437, 3439308, 4299183?\nAnswer: 5159062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*z**5 + 190*z**4 + 160*z**2 + z.\nAnswer: 120*z**2 + 4560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 77*d + 149*d + 14*d**3 + 4 - 72*d.\nAnswer: 14*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u**3 + 32*u**2 + 17*u + 94. Determine l(-11).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 3)*(0*g**4 - g**4 - g**4) + (-g**3 - 4*g**3 + 3*g**3)*(-g + 2*g - 4*g) as m*g + c + v*g**2 + h*g**3 + q*g**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + -1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-280))\/(4\/70*-5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 7*l**2 + 2*l - 1. Let y be v(3). Let o = y + -47. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56472*z - 3 + 0 - 136653*z.\nAnswer: -80181*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 12:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-308)\/(-6)*(1520\/(-228) + (-637)\/(-78))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -32 and 0.7?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3854851 - 3*p + 3854946 - 7709797.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.082 + -3.918. Sort -2\/3, 4, i in increasing order.\nAnswer: i, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = 3*r - 7*z + 462 - 498, -20 = -r + 3*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(126)\/sqrt(9))\/sqrt(7).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22844\/5 or 4569?\nAnswer: 22844\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -483 - -505. What is the remainder when 327 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -12. Suppose -8 = 2*n, 11*t - l*n = 8*t + 33. Solve v - 2 + t = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + 86*t + 21880. What is d(-111)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/44 and -57\/9724.\nAnswer: 9724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((5 - 7) + -4 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9649102 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 6058290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 15602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-33) - (-13)\/624*-16.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80 - (11 - (13 + -7) - (-11 + (21 - 14))).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 12:45 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 7:18 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by 14055908.\nAnswer: -17\/14055908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(((o*o**(-1\/9)*o)\/o*o)\/o))**46*((o**5\/o)\/o)\/(o**(3\/5)*o) assuming o is positive.\nAnswer: o**(2363\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -10, -8.35, -0.14, -2\/7, 3.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -9\/4*x**2 + 0*x - 7\/2*x**3 - 15\/8*x**4 - 3\/10*x**5 - 37. Solve i(q) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5738*c**5 + 3*c**4 + 2144*c**2 + 149502490*c wrt c.\nAnswer: 114760*c**3 + 36*c**2 + 4288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-6) - 55\/60. Suppose 6 - 20 = t + 4*g, -15 = 5*g. Let w = 1.5 + -2. What is the nearest to i in w, t, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13395 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2128 = -9*z - 373. Calculate the highest common factor of z and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -4*j**3 + 0*j**3 - 4*j**2 - 7*j + j**3 - 5 + 2*j**3. Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((4 + -4)\/1)\/2. Let m(d) = -d**3 - 3*d**2 + d + 74. Let s be m(l). Let r = s + -56. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**3 + 4*c**3 - c + 9*c)*(9*c + 18*c + 4*c + 0*c).\nAnswer: -31*c**4 + 248*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 4*u - 2*u)*(-5 - 2 + 2)*(121499*u**3 - 822*u**4 - 121499*u**3).\nAnswer: -8220*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100081 = 4504*s - 28882 + 68425 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*j*j**(-1))\/j)**(-35)\/(j**(-5\/2)*j**(-3)\/j))**(-2\/17))**(44\/3) assuming j is positive.\nAnswer: j**(-572\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5989127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 2*c**2 - 5380*c + 65900. Give d(12).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-38 - 39 + 73 - 70*t)*(9 - 2*t - 9) to the form l*t + p*t**2 + w and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -562\nAnswer: -2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (9 + -13)) + -11 - 13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -6*x**3 - 130*x**2 - 240*x - 80. Let k(l) = 6*l**3 + 130*l**2 + 249*l + 80. Let w(h) = -5*c(h) - 4*k(h). Factor w(m).\nAnswer: 2*(m + 1)*(m + 20)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -374.5 - -375. Let o be (-2)\/(-4)*(-4)\/(-7). What is the second smallest value in c, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aak when three letters picked without replacement from aakaaaaka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhvvlllhll. Give prob of sequence vlll.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzxzzqzqqzzyyzyqyq. What is prob of picking 1 q and 1 x?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1421 in -121, 0.4, 0.2, 4, -4?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -317*y**3 + 9*y + 4. Let d(a) = 631*a**3 - 21*a - 9. Determine 3*d(o) + 7*m(o).\nAnswer: -326*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rddr when four letters picked without replacement from {s: 6, d: 4, r: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1460, -4, 1 in ascending order.\nAnswer: -1460, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2156, 2195, 2244, 2309, 2396, 2511, 2660, 2849?\n\"Answer: u**3 - u**2 + 35*u + 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s + 190. Let t(c) = 3*c**2. Determine d(t(b)).\nAnswer: -3*b**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 570 from 1024.3928269.\nAnswer: 454.3928269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 122 + 70. Let h = 217 + i. Calculate the greatest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11025683*c**3 + 1609*c - 177 wrt c.\nAnswer: 66154098*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 87 = -37. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -19*c + 2. Let t(y) = y**3 - 7*y**2 + 5*y + 1. Let m be t(6). Let r be k(m). Suppose -r = -p - 5*f, p + 0*f - 69 = 2*f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -15*w + 47. Give t(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 594*x = 514*x - 790720. Which is greater: x or -9883?\nAnswer: -9883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 61, 61, 63, 67?\n\"Answer: l**2 - 3*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 4. Let j = -26 + 101\/4. Which is the closest to -2\/5?  (a) r  (b) j  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.4 and 262.\nAnswer: 628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 4*y + 11 = 0, 0 = -f - 2*y - 38 + 45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/5 + 5600*g - 3443240.\nAnswer: 2*(g - 590)*(g + 14590)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50956.2333us to weeks.\nAnswer: 0.00000008425303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(210)\/(-1*sqrt(5)) - (sqrt(1050) - (sqrt(1050)*1 + sqrt(1050) - sqrt(1050) - sqrt(1050))))\/(sqrt(294) + -3*sqrt(294)*1 + sqrt(294)).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + 64 - 50 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12863.\nAnswer: 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 10:54 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 771525250 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**2 - 6*c - 7. Let s be p(-3). Let a = 16 + s. Suppose 2*y + a - 81 = 0. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 6*j**2 + 4*j + 7. Let z(a) = -7*a**2 - 3*a - 7. Let b(o) = 5*i(o) + 4*z(o). What are the prime factors of b(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fourty-seven quarters of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -155, -10, 10918, -3 in decreasing order.\nAnswer: 10918, 0, -3, -4, -10, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -s**3\/3 - 2*s**2 - 5*s. Let o = -37 + 43. Let w(x) = -5*x - 9. What is o*w(p) - 14*d(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4990.684 weeks to minutes.\nAnswer: 50306094.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(2))\/sqrt(10) - (sqrt(192) - (sqrt(192) + 0)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 632*p**2 + 281. Let u(n) = 3*n - 175. Determine u(k(h)).\nAnswer: 1896*h**2 + 668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 4 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -2103615?\nAnswer: 420723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 870.62 minutes to seconds.\nAnswer: 52237.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 92712 divided by -6\nAnswer: -15452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(880) + sqrt(880)*2 - (sqrt(880) + sqrt(880)*1))\/(1*sqrt(176)*2*4).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 500 - 226. Let d = s - 157. Let m = d + -48. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96732.\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 196373544 and 36384?\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the second derivative of r**5\/20 + 5*r**4\/12 - 17*r**3\/6 + 10*r. What are the prime factors of k(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49*p**3 - 53*p**3 + 40*p**3 + (p - 81 + 81)*(p - p**2 - p) to x*p**3 + f + d*p + o*p**2 and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81362?\nAnswer: 2, 17, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -m**5\/4 + 2457*m**4\/2 - 13478*m**3 - 51587*m**2\/2 + 1034313*m\/4 + 269665 = 0?\nAnswer: -4, -1, 5, 11, 4903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36 + -7. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*p**2*w**3 + 5*p**2 + 531*p*w**3 + 559 with respect to w.\nAnswer: -12*p**2*w**2 + 1593*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14339*p - 4745*p - 4820*p - 4777*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, k: 1, p: 8, i: 3, w: 3}. Give prob of picking 1 p and 3 w.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -777 divided by 6?\nAnswer: -259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -1 + (-8 - (-11 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -169 + 158. Let t(o) = -9*o**2 - 97*o + 22. Let l be t(m). Solve -3*w - g - 3 = l, 3*w - g = -0*w + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*f + 67660 = 7*f - 9099. List the prime factors of f.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 1691173.\nAnswer: 3382346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -118, 3, -2.\nAnswer: -118, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 226 + -167. Suppose 55*z = 2*k + j*z - 5866, 5865 = 2*k + 3*z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 442351341570?\nAnswer: 442351341570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4*k + 586 - 592, -k - 6 = 2*t. Sort -5, 1\/4, -0.92, -0.3, t.\nAnswer: -5, t, -0.92, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -42\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/9*-3 - -9. Suppose k*x = -3*i - 6, 10 = -4*x + 6*x - 5*i. Solve 2*o + 4 - 14 = x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -842 or -420?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -5*q + 1 + 1106*q**2 - 1 - 1105*q**2 + 3*q. Let u(g) = g. What is -2*t(z) - 6*u(z)?\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2438538839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20212012212 - 2?\nAnswer: 20212012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8451041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence caa when three letters picked without replacement from cccccaacc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.71 + -4.71. Let j = 0.04 + 3.96. What is the second biggest value in j, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/6)\/((-1)\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -3*z - 22. Let h = -28 - -19. What is the lowest common multiple of x(h) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (13\/(-26))\/((-1)\/2528). Suppose 908 = 12*z - p. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.008383 and -0.1.\nAnswer: 0.0008383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**3 + 43*x**2 - 12*x - 106. Give n(21).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k**5\/9 - 23342*k**4\/9 + 99866*k**3\/9 - 143066*k**2\/9 + 79832*k\/9 - 13304\/9 = 0. Calculate k.\nAnswer: 2\/7, 1, 2, 1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49 + -44. Sort a, -1, 1.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -10, 11, 36, 65, 98?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)\/g**(2\/37))\/((g\/(g**(1\/3)\/g))\/(g\/((g\/(g\/(g**(-10)*g)))\/g))) assuming g is positive.\nAnswer: g**(697\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f = 711 - 753 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*(5 + sqrt(567) - sqrt(567) - sqrt(567))*-2 - 4*(-3*sqrt(567) + sqrt(567))*-3)**2 + 0.\nAnswer: -16200*sqrt(7) + 511204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 657487.5 centuries to months.\nAnswer: 788985000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.003 + -4.003. Which is the third biggest value?  (a) -0.02  (b) 0.5  (c) 3  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -10*b + 4. Suppose -5*o - 5*t - 8 = 42, 5*t + 14 = -2*o. Is s(o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, 0.08, 0.4, 3\/4, -1.\nAnswer: -1, 0.08, 0.4, 3\/4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8*3)\/(((-180)\/(-8))\/(-15)). Is (-16892)\/q + (-33)\/44 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 389 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872) + 2 + sqrt(1872) + -2 - sqrt(1872).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 12 = -3*z - 5*c, 4 = 2*c. Let b = 3 + z. Suppose -2*p = -v - 0*v + 5, -25 = 5*p - b*v. Sort p, -5, 4 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6412 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -221, 1.\nAnswer: -221, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-69)\/4)\/((-8)\/32) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 122124 + -400?\nAnswer: 121224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -1, -3, -4, -107.\nAnswer: -107, -24, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 5:56 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) + 2*sqrt(539))\/sqrt(11))\/(sqrt(56)\/sqrt(8)*-1).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3676389585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 50695313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 74501*g**2. Let m(s) = 3*s. Calculate y(m(d)).\nAnswer: 670509*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 12, 0.5, 15, 0.6, 0.049?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*a - 42*a = -1147228. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 20424 = 29*d. List the prime factors of d.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 12. Let q be -15 - -10 - (-2 + 1). Let h be n(q). What is the highest common divisor of h and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9 - (-119)\/(-14))*8. Solve k + f = -2*x, 0 = 5*x - k - 3 - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, -11\/280, 0.4?\nAnswer: -11\/280","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/(-6)*(-105)\/(-14). Let z = k - 18. Suppose l - z*o = 3*o + 119, -431 = -4*l + 5*o. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4874 - -440?\nAnswer: -4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -924 + 1793. Suppose 129 = -2*i + o. Suppose 2*c + 135 - i = -5*f, 5*f = -5*c + 220. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1538488827 minus -0.08?\nAnswer: -1538488826.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**2 + 4*u - 49. Let t be q(-9). Let i = t + 339. Let b(z) = z**3 + 9*z**2 + 3*z - 5. Calculate the remainder when b(-4) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/9)\/(4\/24). Suppose 0 = 5*s - n*s. Suppose -15 = -5*i, 2*o + s*i - 38 = -2*i. Calculate the highest common divisor of o and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 144 - 150. Let d be (-16)\/21 + 8\/12. What is the second smallest value in d, v, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 523890056 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -80*o. Let t(r) = -3*r - 2. Calculate t(l(p)).\nAnswer: 240*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -552259456*n + 4 + 276129729*n - 4 + 276129728*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 15*n**3 + 162*n**2 + 552*n - 12. Let d(l) = 6*l**3 + 65*l**2 + 221*l - 5. Let b(z) = 12*d(z) - 5*s(z). What is the second derivative of b(x) wrt x?\nAnswer: -18*x - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11127\/5 + -2225. Factor 4\/5*v**5 + 0*v + 4\/5*v**4 + w*v**2 - 7\/5*v**3 + 0.\nAnswer: v**2*(v + 2)*(2*v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 times 4894?\nAnswer: 117456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 0 + 1 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*i**2 + 34*i - 34*i)*(2*i**3 - 3*i**3 - 2*i**3) + 2*i**5 - 2*i**5 + 2*i**5.\nAnswer: 80*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 5*l + 5. Let i be q(-6). Calculate the smallest common multiple of ((-2)\/i)\/((-4)\/(-12)) and 2 + 0 - (1 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -35049 in 0, -4\/49, 0.1?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -89?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 494201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*n = 36988, -23*h + 3*n + 18490 = -22*h. Is 52 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312 = 626*l - 678*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 8*s - 14. Calculate the remainder when k(7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79 divided by 953776.\nAnswer: 79\/953776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -207 + 12. Let r = p - -47. Suppose 2*k = r, -k = -2*o + 3122901 + 4877095. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g - 57*g**2 + 1 + g - 2*g to the form q*g + r*g**2 + d and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 243015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of 5*q**7\/42 - 31*q**6\/30 + 23*q**5\/10 - 2*q**4\/3 - 14*q. Factor m(y).\nAnswer: y**2*(y - 4)*(y - 2)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4125105 by -458345.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10962414 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 688 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8374 + -11413761\/1363. Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 84 + 171.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 4*a - 214 - 78, -p + 217 = 3*a. Suppose 0 = -3*r - o + 4, 1097*r = 1102*r - 5*o - 80. Calculate the remainder when a is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*b - 34*b - 321348. Suppose 172955 + b = 52*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9686.879 + 9683. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -23903*n - 5067441. Give z(-212).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 w when four letters picked without replacement from {w: 5, k: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1279083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 4, 6 in ascending order.\nAnswer: -49, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/8  (b) 4\/9  (c) 2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1415, 2530, 4475, 7322, 11143, 16010, 21995?\nAnswer: 29170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, z: 8, h: 8}. Give prob of sequence hzha.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -4*c + 65. What is the least common multiple of (-5)\/(-1)*(c + (-276)\/30) and 77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*r - w, r - 4*w - 32 = -2*r. Suppose h + r*h - 35 = 0. Let p(a) = h*a**2 + 6*a - 1 + a**3 - 2 - 1. Determine p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 - 7*x - 11. Let o be z(5). Solve 4*d = -8 - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -0*w + 5*w. Suppose 200 = 5*h - 4*q, 0 = -4*h + h - w*q + 93. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*t = -1242*t + 102169 + 7308 for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - u + 491. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2, 6*s - 4*s - 4*f = -38. Let k = s - -59. Calculate the smallest common multiple of k and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -144, -108, -3, 4, 2, 0 in ascending order.\nAnswer: -144, -108, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 61\/(-6)*(112 + -101). Which is bigger: w or -112?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 975\/9 - (-6)\/(-18). Suppose 0 = 5*a - 11*a - g. List the prime factors of (-94)\/8*(a - -2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 278 - 142 - 136 + 604*r**2.\nAnswer: 604*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-5) - (-24)\/10. What is the highest common divisor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssfoeoowwswss. Give prob of picking 1 e, 1 f, 1 o, and 1 w.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**2 - f**2 - f**2 + (-1 - 2*f + 1)*(-2*f - 3*f + 3*f) - f**2 - 2 + 2 - 5*f**2 - 2*f**2 + 4*f**2 - 513*f**2 - 345*f + 345*f.\nAnswer: -515*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2109059.\nAnswer: 2109059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/3*2 - 10\/(-15). Find the first derivative of -19 + 1284*m**3 - 1284*m**3 + 7*m**d wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 415 (base 8) to base 12.\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*l**3 + 2*l**2 - 2292*l + 14506 wrt l?\nAnswer: 6*l**2 + 4*l - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*h + 38, 3*h - v - 18 = 2. Let u(d) = -d. Let p(l) = 3*l + 8. Let f(a) = p(a) + 4*u(a). List the prime factors of f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*x = 153*x - 9263 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/10 and 21\/1560596.\nAnswer: 7802980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - -137. Suppose 2*q + 73 = u - 26, -3*q = -2*u + m. Let j = -30 - q. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 22*a - 5*a + 48 = 2*a, h - 6*a - a = 19 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 768903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43985857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bieeyyeyiyfeeeyyy. What is prob of picking 2 e, 1 b, and 1 f?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.77322 to 2 decimal places.\nAnswer: -10.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - -5. Let c = i + -80. Let r = 462 + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-370690)\/(-9755))\/(2\/(-2)*1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3)\/d)**0\/((d\/d**(5\/3))\/(d*d**(4\/7)*d*d)) assuming d is positive.\nAnswer: d**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*j - 3*o + 11, 3*j + o - 4 = 0. Solve -m + 4*m - 3 = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z + 7*z. Suppose 4*q - 209 + 57 = z. What is the remainder when 148 is divided by q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12935 or -12936?\nAnswer: -12936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -35 + ((-4)\/14 - 161\/(-49)). Is s\/96 - (-4084)\/(-3)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 11  (c) 5  (d) -6.3103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 5*m - 1. Suppose 6*j - 2*j = 5*b - 479, 0 = 5*j - 3*b + 589. Let o = -123 - j. Give n(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 507*a - 8090. Calculate r(16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 11*o. Calculate r(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9634 or 9635?\nAnswer: 9635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2. Let q = 4\/61 + 102\/305. Let y = 2.2 + -2. Which is the nearest to q?  (a) z  (b) 4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(5\/1656) + 4\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 40*d + 28. Calculate f(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**3 + 7*j**2 - 2*j. Let m(q) = -q**3 - 2*q**2 + 1. Determine 2*m(u) + p(u).\nAnswer: 3*u**3 + 3*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 67, 2\/15 in descending order.\nAnswer: 67, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -109*g**4\/24 - 19*g**3\/3 + 12*g**2 - 65. Let p be (21\/(-3) - 2) + 0. Is u(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(-7)\/126*-15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 4*k + 47 - 10, 31 = 5*a + k. What is the least common multiple of 326 and a?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 9:39 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 721 and 1030.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a077 (base 13) to base 15.\nAnswer: 33cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -2*m**4 - 2*m**3 + 10*m**2 - 6*m = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -5*n + 30, -13*n + 5*r - 21 = -9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -2 - 1 - (7 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2220210111221120 + -2?\nAnswer: -2220210111221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y**(-5\/2)\/y)*y**(-3\/7) assuming y is positive.\nAnswer: y**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11514 less than 1726550681?\nAnswer: 1726562195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -121837917 to the nearest 10000.\nAnswer: -121840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -20. Let j = -9 + o. Solve j*z + 3 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2 = 4*q - 18, 4 = 4*w. Let h(x) = x - 1. Let s be h(-4). What is the smallest common multiple of (-398)\/s + (-12)\/(-30) and q?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 0, 10 in descending order.\nAnswer: 10, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-40)\/((-1)\/1) + 0. Suppose -n = 3*n - o. What is the greatest common divisor of 80 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.531561 plus -17670132?\nAnswer: -17670123.468439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 2, -86.4, 41\/10, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8071*k - 173378 = 260*k + 60345 - 25448 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3171 + 3489. Is 321 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**2 + 65235*j - 65233*j - 64*j**3 + 1 - 4*j**3 to u*j**3 + l*j + a + o*j**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.42 - 0.02. Let d = -55\/2 - -28. Which is the second biggest value?  (a) -3  (b) r  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 6*g**2 + 6*g - 2. Let v = 92 + -86. What is the units digit of d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 21287\/(-4158) - 24\/(-44) - -6. Is 2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 134.\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17830, 17867, 17904, 17941?\n\"Answer: 37*u + 17793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-59 - -21)\/(9\/4 - 2). Let d = o - -195. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25323561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/9 - (-50)\/(-3). Let k = 7 + t. Let u = k - -7. Sort u, 2, -1 in ascending order.\nAnswer: u, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 500.361g?\nAnswer: 500361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/7)\/((-10)\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2428 + -2416. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a3130 (base 13) in base 2?\nAnswer: 10100010000010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**4 + 2595*a**3 - 598188*a**2 - 600780*a = 0.\nAnswer: -1054, -1, 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -302102203323 + 0?\nAnswer: -302102203323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7195, -11303, -15411, -19519, -23627, -27735?\n\"Answer: -4108*h - 3087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 351 - 356. What are the prime factors of 785\/4*(-1 + u + 10)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4\/51 + 130\/357. Let n = -0.7 + 4.7. Which is the third biggest value?  (a) 0  (b) n  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g\/(g*g**(-30)\/g)*g*(g\/g**(-4\/15))\/g assuming g is positive.\nAnswer: g**(514\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**4 - 142*n**3 + 2*n + 2 - 4 + 139*n**3 to the form c*n + l*n**4 + b + j*n**2 + k*n**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 300 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -57135, 1, 3 in descending order.\nAnswer: 3, 1, -10, -57135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75)\/(-50)*(-4)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12294 times -19?\nAnswer: 233586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 8*g - 22. Suppose -3*h = -4*q + 8*q + 992, -g*h = 4*q + 992. Let k = q + 534. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r**2 + r + 2. Let a be x(-2). Let f be a\/(-10) + (-4)\/(-10). Let l = 7305 - 7303. Solve -f*v = -5*v - u - 6, v + 7 = -l*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454128305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*i + 6, 4*d - 18 + 12 - 30 = -5*i + i for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 342051710 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21072, -44129, -67188, -90249, -113312?\nAnswer: -136377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4183740 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -119*w**3*z**3 - 13*w**3*z - 2*w**3 - 18*w*z**4 - z - 5 wrt z?\nAnswer: -714*w**3*z - 216*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 19670.463 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -4, 1 in descending order.\nAnswer: 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5796)\/(-16905))\/((-6)\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*j**3 + 15*j**3 + 6*j**3 + 16*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.6 - 0.5. Let g = q + 0.7. Sort -0.5, g, 0.4.\nAnswer: -0.5, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/2)\/((-2)\/8). Let d be (-3 - -3)*3\/(-3). Suppose d = 5*b - 8 - 2. Solve 3*y + 3 = b*g - 2, 5*y + 15 = j*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -479\/2 less than -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 20. Let h = 15 - i. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1650 - -1713. What is the greatest common divisor of 168 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 91\/8  (b) -0.1  (c) 0.3  (d) -2  (e) 1  (f) 1\/7  (g) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 6.7. Let c = 0.4 + k. Sort -2\/7, c, 5 in descending order.\nAnswer: 5, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 3. Suppose -5*c - 26 = v*f, f = -4*f - 4*c - 26. Is -1*((-23 - f) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b - 2*m - 7, -4*m - 9 = 5*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 297134163 divided by -3?\nAnswer: -99044721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5863*b**4 - b**3 - 29838*b**2.\nAnswer: 140712*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -20*d**3 - 3555*d**2 + 10*d + 11. Let o(q) = -11*q**3 - 1776*q**2 + 5*q + 6. Calculate -11*o(i) + 6*y(i).\nAnswer: i**3 - 1794*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4*f + 5*f - 2*f)*(456*f + 41*f - 76*f)*(f - 1 + 1).\nAnswer: -421*f**3 + 421*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 5, -182, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**5 + 261*t**4 + 975*t**3 - 1773*t**2 - 2490*t = 0. Calculate t.\nAnswer: -83, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 - 2 - 91*m + 46*m + 31*m to the form v + j*m**2 + h*m and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -5 - 3 - j - 2*j. Let s(q) = q**3 - 14*q**2 - 52*q - 2. Let z be s(17). Is 25 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 2:48 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 9) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 376, 0, 9, -298 in ascending order.\nAnswer: -298, -5, 0, 9, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3319 and 138.\nAnswer: 458022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 909*c = 901*c + 26, -19 = 2*l - c for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(121) + sqrt(121)*3 + sqrt(121) + sqrt(121)) - 1*2*sqrt(121))\/(-3*sqrt(11)*-5*6) + 2)**2*-6.\nAnswer: -20512\/675 - 112*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 1:35 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -82 divided by -529\nAnswer: 82\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 146 + 0 + (-30992 - -30708)\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -54 - (-58 + 88 + -77).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6837  (b) 19  (c) -16  (d) -0.3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4010 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/21 - 128\/(-156).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 8*g - 4. Let z be t(7). Solve 5*i - 8 + z = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 159. Calculate the greatest common factor of 286 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -623, -0.032, -0.05, 1\/75?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8\/19 + -29\/114. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*y**2 + 15*y - 3 = 0 for y.\nAnswer: -1\/2, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2 - x - 3. Let y(b) = -b**2 - 1. Let i(m) = w(m) - 4*y(m). Let q(a) = 7*a**2 - 7*a + 5. Let l be 2\/(-8) + 42\/8. Determine l*i(v) - q(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**3 - 2*o**3 - 3*o**2 + 0*o**3.\nAnswer: -4*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -5 - (39 - 54 - -6) - -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 5*d - 4420 = 0, d - 2248 = -2*u - 24. Let i = u + -323. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70956 + 496689\/7. Let c = 8773\/27 + -325. What is the third smallest value in r, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**4 - 71*j**3 - 51*j**2 + 10*j + 684249 wrt j?\nAnswer: 4*j**3 - 213*j**2 - 102*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 36*w**2 + 38*w - 56. What is the tens digit of g(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -37407 - 842?\nAnswer: -37c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.03 and -0.119331.\nAnswer: -0.089331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 114. Let y(a) = -a**2. Determine i(y(q)).\nAnswer: -q**2 - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2decfc (base 16) in base 10?\nAnswer: 3009788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 - y. Let h(p) = 10*p**2 - 5*p. What is -2*h(m) + 10*i(m)?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*s + 8*s + 1230 = -13177 - 18983 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*s = 0, 0 = 2*s - 3*s. Let q = y - 5. Let a(o) = -o**3 + 7*o**2 + 7*o. Let z(i) = i**3 - 5*i**2 - 5*i. Calculate q*a(r) - 7*z(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-18)*45\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 0.034, 0.4, 0.03, 0.1, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -786.31\nAnswer: -1572.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**4\/4 - 3*z**2 + 7*z. What is the first derivative of t(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74 + -5 - (-1 - (-2 + -1))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 159597898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 177*c = -1923 + 218 - 3863 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*j = 0. Solve -2*s - 4 + 0 = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t - 5*a - 387 + 394, -2*t + 30 = -6*t - 6*a for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3451, 6127, 10589, 16837, 24871?\nAnswer: 34691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86 + -131. Let c = m - -45. Suppose 5 = -5*d, c*g + 3*d = 3*g - 21. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b*b\/(b*(b*b**(2\/13)*b*b)\/b)))\/b)\/b**6)**47)**(2\/19) assuming b is positive.\nAnswer: b**(-5922\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**4 - 4*o**3 - 3*o + 3. Let d(x) = -4*x**3 - 2*x + 2. Let y(n) = -n**2 + 9*n + 4. Let m be y(10). Let g(q) = m*d(q) + 4*l(q). Factor g(h).\nAnswer: 4*h**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 2*q + 50 = 0, 2 = -q - q. Suppose -2*i = -2*o + 12, 3*o - 2*i = -o + z. Suppose -4*y = -o*y - 46. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -93.075 - -725.345. Let r = 635 - j. Let w = r + -2. Round w to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2069*a**3 + 2080*a**3 + 2 - 2 - 10*a + 0.\nAnswer: 11*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (39 - 15) + -17 - (-21 + 1)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.289 + 1.285. Sort 1\/4, q, 0.5 in descending order.\nAnswer: 0.5, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -5. Let t = -15 - p. Let x = t + 15. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - 17 - (32 - 22) - -25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(39) + (2*sqrt(351))\/sqrt(9))\/(sqrt(1323) - sqrt(27)))**2.\nAnswer: 4*sqrt(13)\/3 + 589\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4257425027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*k - 1. Suppose -4*l + 3*c + k = 3, 2*c = 4*l. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1186, -2547, -3908?\n\"Answer: -1361*z + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*b = 39*b - 4800. Suppose 28*z - 4*z - b = 0. Calculate the lowest common multiple of z and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 7*g + 18. Let p be s(9). Let w be (0 + -4)\/(-2) - (1012 - p). What is w rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ktm when three letters picked without replacement from {t: 1, m: 1, o: 8, q: 6, k: 1}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by 33 - 22 - (8 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j + 8. Let k be 48\/64*3*4\/(-9). Let v(h) = h. Calculate k*v(z) + i(z).\nAnswer: -3*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (62*(-50)\/(-3100))\/((-34)\/2)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 29 = -5*h, 0 = -3*h + 5*h + 10. Suppose n*b = -18 + 114. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*48\/(-32)*8\/3. Solve y*t - 37 - 59 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67798 * -0.1\nAnswer: -6779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (36 - 31) + 4 + 0 + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32 by -20.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 277919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 56 = 2*o. What is the remainder when 116 is divided by -1*7\/o - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 1\/44  (b) -1\/2  (c) 400.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from ccccikclkpijclcp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9291 greater than or equal to 9291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14132 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -67\/125 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -6*u + 30. Let r(t) = t**2 + 4*t - 2. Let b be r(-4). Let a be 9\/b - 5\/u. Sort 4, 0.5, a.\nAnswer: a, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**5\/20 - 34*f**4 + 273*f**3\/2 + 5*f**2 - 207*f. Solve r(w) = 0.\nAnswer: -273, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 10878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5656210 by 1.\nAnswer: 5656210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - (9 - 5) - (-10 - 5)) + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 2*j**2 + 2*j + 1. Let q be p(-3). Solve 4*o = -4, -9 = 2*y - 3*y + q*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7 - -8)*(-3 - -3). Suppose c = 4*t - 4*v - 188, -4*v = 30 - 10. Calculate the smallest common multiple of t and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12772744, 12772743, 12772742, 12772741, 12772740, 12772739?\nAnswer: 12772738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**6\/135 - k**5\/30 - k**4\/27 + 21*k - 3. Let y(q) be the first derivative of w(q). Factor y(b).\nAnswer: -2*b**2*(b + 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654 a factor of 3958051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -539*f**4 + 7226*f**3 + 6521401*f**2.\nAnswer: -12936*f + 43356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 153 - 137. Let q(m) = -4*m - 3*m**2 + m**3 + 7*m**2 - 4 - 2. What is the least common multiple of c and q(-4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6905 + 3605. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 b when three letters picked without replacement from {f: 2, g: 1, b: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - 1 - -6 - -75. Suppose l = 4*q + 30. Let g be (-244 + 1 + 3)*(-6)\/15. What is the greatest common divisor of g and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -13. Find the second derivative of 4*w + 6*w**5 - 10*w**k + 0*w wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -136 + -24266?\nAnswer: -24435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 + (-171)\/(-33) + -2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r. Let i(p) = 25*p - 25*p - 19*p. Determine f(i(x)).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (8 - 5) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2911419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q**1*q)*q)\/q)**(3\/4))**2)**(-16) assuming q is positive.\nAnswer: q**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*b = -1091*b - 1730*b + 87505 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from knddnknkdhnnd. Give prob of sequence dkd.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 128263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9659\/91 - -10) + (-6)\/(-7). Suppose 109*p - m*p + 16 = 0. Solve 0*l + l - 5 = -4*d, p*d + 2*l - 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 293625 = 61*k + 20*k. What are the prime factors of k?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence guw when three letters picked without replacement from ggrwuwrwugggwrw.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5*x = -582, -m - x + 73 = -72. What is the remainder when m is divided by -5*(-24)\/15*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -217, -470, -737, -1030, -1361?\n\"Answer: -2*j**3 + 5*j**2 - 254*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -42*f - 3. Let y be r(8). Is (2\/2)\/((-3)\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - c + 21. Is u(0) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -90775 + 1633277\/18. Let p = -200\/9 - f. What is the common denominator of 43\/14 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.43 - 0.295. Let v = 6.675 + -6.74. Let x = v - k. Sort x, 6, 2\/5, 4\/7 in decreasing order.\nAnswer: 6, 4\/7, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 2 - -166 - (-5 - -5)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) -0.01  (c) 2  (d) 0.06  (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4.467 * -593\nAnswer: 2648.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -5*r - 1. Let n be y(-1). Suppose -3*o = -q + 10, -5*q + 3*o - 20 = 2*o. Which is the smallest value?  (a) n  (b) q  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(p + 2*p - p) + (1 - 3 + 0)*(p + 3*p + 0*p) - 45*p - 34*p + 0*p.\nAnswer: -89*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of 0 + 0*g**4 + 0*g**3 - 31*g - 7\/20*g**5 + 31\/2*g**2. Differentiate s(x) wrt x.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7990.3901463367553 - -0.6098481962447. Let z = x + -7991. Round z to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -282 take away 121?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 13 + 2. Suppose -3*j**2 + 3*j**5 - 10 - 9*j**q + 6*j + 10 + 3*j**4 = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**5 - 20*c**4 + 33*c**3 - 20*c**2 + 4*c.\nAnswer: c*(c - 2)**2*(2*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59525088.\nAnswer: 2, 3, 7, 283, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, g: 4, p: 1}. Give prob of picking 1 g and 3 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*t + 3*u, -28 = -4*t + 2*u - 10. Suppose -y + 4*s - 3 = -17, s = -t*y + 49. Calculate the greatest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 11 = 7. Suppose -5*v - 3*c + 22 = 0, 3*c = 2*v - b*v + 17. Let o(l) be the second derivative of l**3\/6 - l**2 + 15*l. Calculate o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30910.\nAnswer: 2, 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5459418158 to three decimal places.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2927 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -w**5\/3 - 5*w**4\/8 - 19*w**2. What is the second derivative of h(c) wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*n - 152 = -5*b - 27*n, 5*b - n = 151. Let r(x) = -2*x**3 + 60*x**2 + x + 57. Does 6 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of 2*p**3\/33 - 10*p**2\/11 + 18*p\/11 - 13. Factor h(k).\nAnswer: 2*(k - 9)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 33*c - 24 = -35*c, 2*q + 4*c + 24 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34778419.\nAnswer: 13, 941, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) 11  (b) -2\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.6 + 1.6. Which is the closest to 1\/4?  (a) 4\/9  (b) v  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + m**2 + (4*m - 4*m + m)*(6*m - 5*m + 0*m) + (-1 + 6 - 1)*(0*m - 2*m**2 + 0*m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**5\/60 + 3*k**4\/8 + 2*k**3\/3 - k**2. Let u be y(10). Sort 5, u, -5 in decreasing order.\nAnswer: 5, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 4*r - 2*r)*(r + 2*r - r)*(r - r - 4*r**2) + (7 + r**3 - 7 + (4 + 0 + 0)*(2*r**3 + 2*r**3 - 3*r**3))*(3*r - 2*r + r).\nAnswer: 26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2048698 to the power of 1\/2, to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + 3 + -1 - -7. Suppose 0 = -p*o - 5 + 17. Let y = 11 + o. What is the highest common factor of 112 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdkr when four letters picked without replacement from drrkkrkdkr.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 19. Let h(c) = 2 + 3*c - 6 - c**2 + 3*c + 1. What is the remainder when w is divided by h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and 2408.\nAnswer: 2407.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2508 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 7*n**2 + 3. Let c = 821 + -828. Give i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 261, 263, 265, 267, 269, 271?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1961\/6 + -326. What is the common denominator of -55\/2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217385192.\nAnswer: 2, 27173149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 5:21 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/5 + 5\/((-1200)\/(-2116)). Let n = v - 49\/6. What is the biggest value in n, -3\/5, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zgggzgtzp. Give prob of sequence tpzg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**0*o*o))\/(o\/(o**3\/o)*o)*(o**9\/o)\/(o*o*o*o**(3\/8)*o) assuming o is positive.\nAnswer: o**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y + 36. Let d be (3\/(-24)*-4)\/(11\/(-550)). Calculate the smallest common multiple of o(d) and 43.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -49576169, -49576158, -49576149, -49576142?\n\"Answer: -g**2 + 14*g - 49576182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -1. Let a be 6\/m*(-2)\/4. Let t(z) = -5*z**3 + 5*z**2 - 2*z + 5. Let l(j) = 2*j**3 - 3*j**2 + j - 3. Let n(f) = 5*l(f) + 3*t(f). Determine n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -70, -133, -196, -259, -322?\n\"Answer: -63*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h - 182 - 214 - 78 + h - 2*h + 3*h - 1 + h + 1 + (1 - 2 + 2)*(-3*h + 5*h + 0*h) + h - 3*h + 4*h - 4*h + 0*h + 5*h.\nAnswer: 10*h - 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1361044460 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r - 2*r**2 - 12*r + r**2. Suppose -s = -2*s - 7. List the prime factors of v(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -0.72\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/68700 and -149\/460290.\nAnswer: 4602900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 211031 (base 4) to base 14\nAnswer: c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3*h + 24 = 0, 2*f + 3*h + 4 = -15. Let c(l) = -7*l + 5. Let p(b) = 20*b - 14. Determine f*p(r) - 14*c(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**3 - f**2 + 13. Let s(j) = 628*j**3 + 3*j**2 - 3*j + 9810. Let c(v) = s(v) + 6*t(v). What is the first derivative of c(n) wrt n?\nAnswer: 1848*n**2 - 6*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17356044 + 4523774. Let h be r + 0 + -1 + 2. Let f = -12379819 + h. Round f to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of -5*n**3\/6 - 3*n**2\/2 + 2*n. Let v be p(-5). What is the greatest common divisor of 242 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 396\/((-3666)\/216 + 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*d + 47*d. Suppose -5*p = 23 - 8. Sort d, p, 5 in increasing order.\nAnswer: p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**3 + 2*p + 19. Let g(s) = 5*s**3 + s**2 + 3*s + 19. Calculate -2*g(a) + 3*v(a).\nAnswer: 2*a**3 - 2*a**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f**3 - f**2 + f + 1. Let u be w(-1). Let p(k) = k**3 + 8*k**2 + 6*k - 5. Let i be p(-7). Factor g**2 - 2*g + 0*g**i - 3*g**u.\nAnswer: -2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -156496 or -156425?\nAnswer: -156496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 138260.4 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q + 3. Let h be u(3). Let d = 2\/223 + -11823\/446. Let k = 27 + d. Is k >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21508.38mm to meters.\nAnswer: 21.50838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 + -7.3. Let b = m - 27. Let a = 1 + b. What is the biggest value in 0, -0.5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/288 and 0 + 248\/6 - 5\/(-30).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -169, 3, -1, 4, 394 in decreasing order.\nAnswer: 394, 4, 3, -1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - b + 1, 3 = 5*c - 4*b - 6. Suppose 0 = 5*j - 16 + c. Let p be -5*2\/(-15)*j. Solve 0 = -0*y + p*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*((sqrt(76) - (sqrt(76) - sqrt(76)*2)) + sqrt(76))*5)\/(-6*(sqrt(256) + 2*sqrt(256))))**2*-1.\nAnswer: -475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*r - 3. Let d be -3 + 6\/r + 3 + -3. Suppose 9 = -2*m + 3. Put m, 5, d in decreasing order.\nAnswer: 5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)\/sqrt(7) - -2*sqrt(324))\/(1*sqrt(4)\/(sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3)))*6).\nAnswer: 23*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -280*j**2 + 20*j - 20. Let i(l) = 40*l**2 - 3*l + 3. Let x(k) = 20*i(k) + 3*n(k). Let p(v) = -2*v**2. Calculate x(p(f)).\nAnswer: -160*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100 + 110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1.00073*-47\nAnswer: 47.03431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2922 + 2921.1406. Let m = 0.583 + i. Let d = m - -0.305. What is d rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7140\/187 - -21)*1\/3. Which is smaller: 19 or f?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6\/5*l**3 - 8\/15*l**5 - 2\/15*l**2 + 0 - 22\/15*l**4 + 2\/15*l = 0. What is l?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -15 + 48744?\nAnswer: 4872e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 42. Let y be 17\/(-34) + r\/(-10). Is y greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -225619*z**3 - z**2 + 132575 wrt z.\nAnswer: -676857*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109622509 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -0.5. Let a = -2847\/11 - -259. Sort -0.1, o, a in descending order.\nAnswer: o, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000519185 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.8 - -4.9. Let h(z) = -z - 6. Let j be h(-8). Suppose -3*w - j = -u, 4*u - 2*w + 10 = w. What is the third smallest value in t, u, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*o**2 - 9*o**3 + 0*o**3 + 87*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74765210 to the nearest integer?\nAnswer: 8647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3912265.\nAnswer: 5, 7, 111779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11628 and 32.\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1344*y - 5*y**4 - 1344*y + (-4*y**4 + 4*y**4 + 2*y**4)*(6 - 3 - 1).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -541522651 - -16.\nAnswer: -541522635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 - 48. Find the third derivative of 0*j - 1076*j**4 + 2*j - j**i + 1011*j**4 wrt j.\nAnswer: -1560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 306 and 459?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z. Let q(g) = -207317004*g + 1. What is v(q(o))?\nAnswer: -414634008*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -33*t + 5. Let b(z) = 49*z - 7. Suppose 84*k - 191 = 232 - 3. Give k*b(s) + 7*v(s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17120 is divided by 570.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f - f - 2*f. Let m(z) = -57*z - 6. Let g(d) = 231*d + 27. Let l(q) = 2*g(q) + 9*m(q). What is t(l(u))?\nAnswer: 51*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 4*n - 5. Let m be d(7). Let w be (108*2)\/(6\/4). Calculate the greatest common factor of m and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/6453 and 115\/33174?\nAnswer: 23785758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -58, -93, -132, -175?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*w + 5 = 0. Suppose -w*z + 3*q = -14, 0*q + 8 = 4*q. Let h(j) be the first derivative of -j**3\/3 + 2*j**2 - 2*j + 2. Give h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4\/6)\/((-2)\/(-183)) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 511.5 + -512. Let n = -3.1 + 3. Which is the biggest value?  (a) x  (b) n  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) 0  (c) -1\/7  (d) 4\/3  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0, -14, -0.5, 3\/14 in increasing order.\nAnswer: -14, -0.5, 0, 3\/14, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + 31 + (-2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-630)\/(-49)*(0 - 5)*-14. Suppose t - z = -5*p, 0 = -3*p - 4*t + 467 + 73. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 380450 and 1855?\nAnswer: 20163850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 24*y + 6. Let p = -20 - -33. Suppose -5*m + 31 = 2*w, 6 = m - 4*w + p. Let s be z(m). What is the greatest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.6, -20\/611, -2\/7, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 110*c. Let s(d) = -171092*d. Calculate s(b(f)).\nAnswer: -18820120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -19*q**3\/2 - q**2 - 10*q. Let s be u(-2). Let w = 195 - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30103938 - 30103938 + 7459*m as j*m + u and give j.\nAnswer: 7459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/12, 26, -2, -0.1, -3 in decreasing order.\nAnswer: 26, 7\/12, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 62*d + 29. Let o be g(-18). Let y = 859 - o. What is the remainder when 70 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.2 + -5. Let t = 0 - g. Let a = -0.1 + 0.2. Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52504829 is divided by 7163?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 526 a factor of 25169626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 4585590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 14\/11, -56, -0.1, -104?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 850*d - 430*d = 426*d - 60 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 300\/13, -4\/15, 13.\nAnswer: -4\/15, 13, 300\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -141680*p**2 - 3740*p - 748. Let t(g) = -569*g**2 - 15*g - 3. Calculate -1496*t(b) + 6*z(b).\nAnswer: 1144*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 4. Let x be (-1 - (t + 2)) + 5. Suppose x*g + 4*m - 237 = 0, 3*g - 224 = -5*m + 10. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -53.3, -474 in decreasing order.\nAnswer: -3\/4, -53.3, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + 1. Suppose 3*j + 2 = 5*l + 7, -5*l = -4*j. Sort v, -1, l in descending order.\nAnswer: v, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6969?\nAnswer: 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4730750.\nAnswer: 2, 5, 127, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -2*h. Let k be h\/(-3) + 1\/(-3). Let u = -60862 - -60862.5. Which is the nearest to 1?  (a) 1  (b) k  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68586977.\nAnswer: 163, 420779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3278517001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2543 + 1758. Is -786 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i\/(i*i**(7\/3)*i)))\/i**(-12\/19) assuming i is positive.\nAnswer: i**(226\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-80)\/(-15) + (-8)\/(-12) + 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*o - 1728 - 42 = -3*h, -2*h + 2*o + 9200 = 9160 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q + 5*q - 6*w + 18 = 0, -2*w = -q + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -10*w**3 - 2*w**2 - w. Let p be y(-1). What is the common denominator of (-14)\/12*(-1696)\/(-1484) and (56\/p - 1) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120)\/sqrt(5))\/sqrt(8))**2 + (sqrt(3) - (sqrt(3) + sqrt(3) + 1 + 3)**2))*4.\nAnswer: -60*sqrt(3) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -1.2. Let n be 132\/(-396) + 10\/66. Let h = 0.3 - -0.7. Which is the nearest to h?  (a) d  (b) -4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1083681*d**5 - 211313631*d**4 + 20028320537*d**3 - 19892062749*d**2 + 76212664*d - 73140 = 0 for d.\nAnswer: -265, 2\/1041, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*s**3 + 6*s**2*x**3 - 4*s*x**3 - 2*x**3 + 4732*x with respect to s.\nAnswer: -39*s**2 + 12*s*x**3 - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3881 (base 11) to base 5\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9\/2 + 37\/10. Let b = -2022 - -2021. What is the closest to c in 3\/8, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**5 - i**4 + 98*i**2 - 10*i - 219 wrt i?\nAnswer: 20*i**3 - 12*i**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18\/25 + -31\/50. Calculate the common denominator of h and -85\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 137*o**2 - 267*o**2 + 128*o**2 - 2655*o to z*o**2 + s + h*o and give h.\nAnswer: -2655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -29. Let k = 7 + -4. Let r = -2.8 + k. Which is the nearest to h?  (a) r  (b) 0.3  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/9?  (a) -5  (b) -0.3  (c) 1\/5  (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*6 + -3*238\/105?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1592 - 358. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408157268 a multiple of 3786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 6*q + 45. Let h be o(-7). Suppose 4 = -k, h*k = f + 91 + 109. What is the remainder when (f\/(-8))\/(3\/6) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**4\/2 - 312332*s**3 - 48776263772*s**2 - 195101307120*s - 195100057800 = 0 for s.\nAnswer: -312330, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 518445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2825 is divided by 1405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 103 and 41321.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5682 divided by 3\nAnswer: -1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rea when three letters picked without replacement from eeadaaererd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(91))\/sqrt(7))**2 - (sqrt(117)*-1)\/sqrt(9)) + -3 + (2 + sqrt(1053))**2.\nAnswer: 37*sqrt(13) + 1067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 - 28. What is the least common multiple of 1\/4 + 46\/8 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -93 - -86.15. Let d = v + -0.15. Let r = d - -12. What is the biggest value in r, 0, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -10*u**2 - 1199*u + 3812. Determine o(-123).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*i**2 + 30*i**2 - 4*i**3 + 9 - 10 as y*i**3 + r*i**2 + p*i + v and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 13*s**2 + 8*s - 5. Let z be b(5). Suppose 0 = -7*t - 3*t + z. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7472408 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((-3 + 0 - -4) + 22 + -30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 4046, -4\/3, 0.8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/4, -0.012, 8, -4, 39, -1.91, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -d**6\/2 - 5*d**3\/3 - 5. What is the third derivative of u(p) wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65313.\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21635228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 563 - 455. Suppose 22*r + 372 = s. Which is the second smallest value?  (a) 4  (b) 3  (c) -1  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -355*c - 354*c + 1040*c - 346*c. Let q(a) = 4*a**2 + 1. Let w(n) = -1. Let j(k) = -q(k) - w(k). Calculate x(j(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 128944044 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 - -18. Suppose -2*j + 3*j + o = 0. Is j\/3 + 778\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 803004.9 to the nearest one thousand.\nAnswer: 803000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 40 = 4*d, 3*t - 40 = -t - d. Suppose 8*s = t*s - 168. Suppose -2*z = 302 - 414. Calculate the greatest common divisor of s and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1455317.73799 from 1030.\nAnswer: -1454287.73799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 9 - 6 = 0. Suppose -r*k - k = -4. Let c(g) = -g**2 + 5*g - 4. Let q be c(3). Put q, -3, k in descending order.\nAnswer: q, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 u when four letters picked without replacement from {u: 5, o: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.0689+475374059791\nAnswer: 475374059791.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (16758\/(-147))\/(5 + 8\/(-1))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence abro when four letters picked without replacement from raoab?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20755 is divided by 10348.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 2525644.\nAnswer: -757693.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -120 + 3002\/25. Which is greater: y or -8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 3*x + 760, -4*m + 2*x + 3020 = -0*x. List the prime factors of m.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-404)\/202*1\/(-2)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23245.9 + -24738. Round l to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4062 is divided by 529.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + sqrt(52) + (((sqrt(13) + -1)*5 + sqrt(13))**2 - sqrt(13))).\nAnswer: -1960 + 236*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11 - (-1 + -2 + 2). Let k(i) = i**3 + 4*i**2 + 6. What is the remainder when (-6)\/(-1)*(-55)\/h is divided by k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*u - 22*u - 19*u)*(u**2 + 4*u**2 - 2*u**2) + 6*u**2 - 6*u**2 - 3*u**3.\nAnswer: -195*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xmxxmxmxmxxxxm. Give prob of picking 2 m.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17962541\/42 or 427680?\nAnswer: 17962541\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -60693061*h**2*v**2 - 20621*h*v**2 + 6*v**2 + 102 wrt h?\nAnswer: -121386122*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 51*c + 11. Let u be o(-5). Let v(d) be the second derivative of 5*d**3\/2 - 4*d**2 - d. Is v(u) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1870 is divided by 607?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 550008, 550012, 550016?\nAnswer: 550020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i**2 + 51*i + 5. Let x be 6 + -38*3\/6. Calculate the least common multiple of r(x) and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9147620 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(6 - 3 + 0)*(p - 3*p + 7*p).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*j + 55 = 5*f, 0 = 3*j + 3*f - 45. Suppose 5*x = 5*i, -2*x - 3*i = j - 0. Let u(l) = l**2 + 7*l + 6. What is u(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -183, -0.1, 1\/7, 3, -2\/21.\nAnswer: -183, -0.1, -2\/21, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 38950920 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*k - 57*k + 18*k + 10*k - 66*k to the form d*k + y and give d.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 2*b + 2*b)*(-631*b + 247 - 619*b + 1246*b).\nAnswer: -4*b**2 + 247*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5*k**3 - 376*k**2 + 1127*k - 35. Determine c(3).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.32109414 to 4 decimal places.\nAnswer: -0.3211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1183290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 1028*i - 3093. Determine g(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3493837 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2526 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -66 + 200. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of 0 - 2*y**2 + 0*y - 1\/24*y**4 - 1\/6*y**3. Let b be i(-10). Solve 3*r = -0*r + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -238 - -562. What is the derivative of -109*k**2 + 266 + 12*k**2 - k**3 - 11*k**2 - v wrt k?\nAnswer: -3*k**2 - 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z - 2*z - z)*(-9 + 9*z - 8*z + 28).\nAnswer: -3*z**2 - 57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2936, 2906, 2876, 2846?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3411*n - 140988 = 1895*n for n.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-6*(2 + sqrt(128)) - sqrt(128)) + 1*(2 + sqrt(128)) + sqrt(128))**2 - ((-4*sqrt(128) + 1 + 0)*-5)**2.\nAnswer: -34725 + 5600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1842 - -3881. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 4*x + 2. Is -1 - (x + -17*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*2*2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of w**4\/12 - w**3\/6 + 3608*w. Let k be 2 + (0 + 1)*-5. What is u(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -2\/15  (b) -0.052  (c) 9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 6*p**2 - 6*p - 13. Let i(f) = -f**3 + 35*f**2 + 249*f - 130. Let d be i(41). Determine s(d).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - 26. Let b be s(0). Let m be (6*1)\/(5\/30). Let g = m + b. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 374067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5038, 5043, 5048, 5053, 5058, 5063?\nAnswer: 5068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74 - -669. Let i = l + -355. What is the remainder when i is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 526, 520, 510, 496, 478, 456?\n\"Answer: -2*g**2 + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b**3 + 2*b**2 - 5*b + 2. Let y(f) = 7*f**3 + 2*f**2 - 6*f + 2. Let s be (-6)\/36 - (-87)\/(-18). Give s*y(g) + 6*q(g).\nAnswer: g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3482 - 3443.83. Let s = -40 + q. What is s rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -5*c**3 + 55*c**2 - 50*c = 0?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1539))**2 - (sqrt(171) + 5).\nAnswer: -3*sqrt(19) + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from iiff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12075.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-14)\/6*(-1 + 4). Let a(o) = 6*o + 3 - 8 - 5*o - 12*o - 9*o. Is a(h) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-34)\/14 - -2 - 76\/(-14). Suppose -69 + 2 = -5*a + 4*u, 3*a + k*u = 18. Suppose 16*f - a*f = 70. What is the remainder when 41 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/30368 and -44\/657.\nAnswer: 273312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.079 less than 1791.4?\nAnswer: 1791.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.07801+18206619.164\nAnswer: 18206619.24201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 7 + 3)*(3 + 1 - 3 + (2 - 3 + 3)*(1 + 0 + 1))*(3 + 0 - 4)*(121*q + 28383 - 28383).\nAnswer: 6655*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -1 + -1 + 64 + -67\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -69020100 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.00049 - -3. What is a rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*c - 1099 + 1099 + (-3*c + 3*c - 2*c)*(-1 - 3 + 2) - 11*c - 3*c + 4*c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -7*r**2. Let d(h) be the second derivative of -541*h**4\/6 - 10838*h. Give d(x(i)).\nAnswer: -53018*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2213*u - 12425*u - 336996 = 0 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i + 11. Let w be d(-5). Let b(q) = 1 - 4*q - 2 + 2 - 8. What are the prime factors of b(w)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*y = 20*y + 231. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130 - 72 = -143*c + 1371 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-220)\/(-24)*(-122)\/671*(-12)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-136)\/952)\/((-1)\/203)*2\/(-10)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + t = 12205, -t + 2 = -3*t. Suppose -7*q = -k - 40160. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19546693363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 6. Let c = -7 - -12. Suppose -5*w - g = 4*g + 5, 0 = 5*w - c*g - 35. What is the nearest to -1\/4 in 1\/4, w, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1894588 is divided by 631524.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 8 = -0*x + 2*x, -23*c - 9*c + 5*x + 54 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29984 or -30055?\nAnswer: -30055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.33 in -37.91, -2\/3, 2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 1698*o - 67883. Calculate y(40).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 281.591251 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1845631936 to the power of 1\/2, to the nearest integer?\nAnswer: 42961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1536 and 1632?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 i when three letters picked without replacement from {n: 1, e: 1, r: 1, h: 5, i: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 - 2 + 5)*(3 - 4 + 0) + 2 + 0 + 0 - 28 - 19 + 38)*(-10 + 10 - 6*g) to the form l*g + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-6)*4)\/((-37)\/(999\/180)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 5*z - 170 = 0, -3*z + 2*z - 242 = 4*w. Let y be (-4)\/(w\/257) + (-2)\/15. Suppose 1 = 2*b - y. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*5*7*152\/9310)\/(1870\/(-77)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {v: 5, o: 6, d: 7, m: 1}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbhbbbbbbhbbb. What is prob of sequence bbh?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -178, -664, -1526, -2806, -4546, -6788?\nAnswer: -9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b**3 + 682*b**2 + 13340*b + 66200 = 0. What is b?\nAnswer: -662, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 422 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 7*k**2 - 2*k + 1. Let x(y) = -46*y**2 + 11*y. Let w(f) = -5*b(f) - x(f). Let d(s) = -11*s**2 + s + 4. What is 5*d(j) + 4*w(j)?\nAnswer: -11*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-7 - (3 + -10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(42\/7) - -8. Let n(z) = 30*z - b*z - 15*z + 3. Let m(u) = -3*u**2. Give m(n(r)).\nAnswer: -363*r**2 - 198*r - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, s: 1, e: 1, y: 2, v: 1}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 5:22 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58975214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.6 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -6. Let h = 0.2 - w. Let u = 0.1 - 0. Put h, -1, u in increasing order.\nAnswer: -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11471 - 11470.978. Is 38 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u - 16*u - 2*j = -122, 5*u + 4*j - 60 = -5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1180471, 1180468, 1180463, 1180456, 1180447, 1180436, 1180423?\n\"Answer: -h**2 + 1180472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 100\/93 + 23273\/930. Let y = o - 51\/2. What is the biggest value in y, 4, -0.1, -1\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2705 + 166577 + 18*f - 16*f.\nAnswer: 2*f + 163872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1143 and 1542384.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 46\/6 + 1\/3. Let z = 10 - -28. Is z\/b*8\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 301107.\nAnswer: 3, 29, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1229000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 5*k**3 - 9*k**2 + 13*k - 30. What are the prime factors of d(10)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 6*p**2 + 281*p + 1274. Give l(-42).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -231 (base 6) to base 12.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -2)\/(2\/(-4)). What is the remainder when ((-122)\/(-2) - -2) + 1 + q is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11001001100101 (base 2) to base 8.\nAnswer: 31145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 107, 216, 333, 458?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9802*h**2 + 6*h*p**2 + 164068*p**2 - 2*p + 25 wrt h.\nAnswer: -19604*h + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 2. Let q be i(2). Suppose -g + 4*k = -16, -5*g + 3*k - 6*k - 35 = 0. Let b = q + g. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 * 5.6\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11311220103 (base 4) to base 2.\nAnswer: -101110101101000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/9)*r)**(-6\/23)*(r**(1\/4)*r)**(1\/3))**(33\/5) assuming r is positive.\nAnswer: r**(649\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14 - -50a6?\nAnswer: 50ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -7*s**3 + 3*s**2 - 11*s - 61. List the prime factors of z(-6).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4419922 by -11.\nAnswer: 4419922\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1690 and 6760?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/8)*f**(-30) assuming f is positive.\nAnswer: f**(-239\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.01 times -0.0255?\nAnswer: -0.025755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42418, -42432, -42446?\nAnswer: -42460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5756, 11744, 18172, 25262, 33236, 42316, 52724?\nAnswer: 64682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2 + sqrt(2) + sqrt(12)\/(sqrt(6) - (sqrt(96) - sqrt(6)))) - -3*2*sqrt(288)*3)**2.\nAnswer: -1736*sqrt(2) + 94194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50\/1238119 or -1?\nAnswer: -50\/1238119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 - 19.9955. What is g rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18475711350 to the nearest one million.\nAnswer: 18476000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -728, -819, -910, -1001, -1092, -1183?\n\"Answer: -91*c - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -467, -784, -1559, -2990, -5275?\nAnswer: -8612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24461.\nAnswer: 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74 - -71. What is the closest to 1 in 0.2, d, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 + -276\/5. Put o, -5, -2\/7 in ascending order.\nAnswer: -5, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 3*x + 3. Let o be b(-3). Suppose -l + 10 = -5*q, -4*l + 19 = -5*q + 6*q. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) -0.3  (c) -5  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82088 - 82083. Suppose 0 = -n - 2 + 11. Let k = -19\/2 + n. What is the closest to -1 in 2\/13, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43143183 to the power of 1\/2, to the nearest integer?\nAnswer: 6568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y**2. Let f(h) = -3*h**2 + 1769*h. Determine f(g(o)).\nAnswer: -27*o**4 - 5307*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 5. Let g(y) = -2*y - 1. Let n(l) = d(l) - 3*g(l). Let i(a) = 4*a + 6 + 3*a + 2 - 2*a. Calculate 4*i(v) - 3*n(v).\nAnswer: 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -16*o - 3*o - 6031*o**3 + 3*o**2 + 6042*o**3 + 7*o**2 + 27. Let d(m) = -5*m**3 - 5*m**2 + 9*m - 13. Let v(b) = -13*d(b) - 6*z(b). Determine v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 13, o: 5}. Give prob of picking 2 b and 1 o.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -16 + 8 + -31 + 27.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 527810992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.2  (b) -3\/23  (c) -213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 317256024 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23\/(-69) + -1 - (-8)\/(-3))*(-36)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c + 40*c = 13*c + 634069. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18 (base 14) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 2*g + 8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 762224.\nAnswer: 2, 47639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -177 times 146\nAnswer: -25842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(17) + 0) + -6*(-3 + sqrt(17)) + -5 + sqrt(136)\/sqrt(128) + -3)**2.\nAnswer: 5*sqrt(17) + 1617\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3 - 6. Put q, 1, 4 in decreasing order.\nAnswer: 4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96\/(-55) + 498\/415\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1537)\/(-145) + (-23)\/((-299)\/(-247))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 - 34.603?\nAnswer: -202.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 6*w - 873. Suppose -w + 644 = 4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {c: 1, u: 1, x: 1, e: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + 72\/8)*99\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + f + 15. Let o(u) = u**3 + 7*u**2 + 3*u + 3. What are the prime factors of o(f)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 2, j: 1, b: 2, w: 1, q: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (99\/(-18)*(-28)\/539)\/((-148)\/28)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -543394097*u*z**2 + u + 591*z + 1668 wrt z?\nAnswer: -1086788194*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o - 1485 = -3*x - 1421, -5*o = 4*x + 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 206 = -4*a, 151 = a + 2*a + 4*x. Calculate the highest common factor of a and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 0)*(2*i + 0*i - i + (4 - 4 + 2)*(3*i - i - 6*i) + (5 + 0 + 1)*(-34*i + 22*i - 31*i) - i - i + i) to d + y*i and give y.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**3\/7 - 54*j**2\/7 - 243*j\/7 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -108 + 208. Let q = g - 31. Suppose -x + 19 + 23 = -2*s, 2*s - 96 = -2*x. Calculate the highest common divisor of q and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7*26.505602\nAnswer: 185.539214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 243074471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.8553 + -0.6353. Which is smaller: r or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 2:20 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -217 + 427. Suppose k = -4*v - v. Let n be 6\/v - 96\/14. Which is bigger: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u + 14. Let x(z) = 20*z - 49. Let m(n) = 21*j(n) + 6*x(n). Let r(f) = 5*f + 15. Calculate r(m(y)).\nAnswer: -30*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of t**3\/3 - t**2\/2 - 6*t + 16. Let p(d) = -d**2 + 8*d - 7. Let l be p(6). Determine g(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 0. Let p = c - -7. Is (-4)\/p*110\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l + 42 - 42)*(-48*l**2 + 460*l + 11*l**2 + 13 + 459*l - 921*l).\nAnswer: -148*l**3 - 8*l**2 + 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-95))\/(4\/8*(-54)\/36)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31129 is divided by 6214.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -24414.0351 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -4, 1, 5, -43980, -3 in descending order.\nAnswer: 5, 3, 1, 0, -3, -4, -43980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 118 - (312 + -317)) + 5.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -317705583 divided by 5101.\nAnswer: -62283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 less than 5089812271444?\nAnswer: 5089812271433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0.1  (b) -2\/25  (c) -25  (d) 0.05  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 8, z: 4, n: 1}. What is prob of sequence ii?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of q**6\/120 - q**5\/15 + q**4\/24 - 2*q**3\/3 + 43*q**2. Let b be d(4). Let j be b*1\/(-6)*3. Solve j = 3*o - 1 + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 35 = -3*g. Solve -3*o - 8 = 2*a, -5*o - g - 10 = 5*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45 - (-29 - -51)) + 6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22779\/7 + -3255. Which is the closest to -0.2?  (a) 2\/267  (b) 5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/791003 or 0?\nAnswer: 2\/791003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d - 8*d = -5*b - 30, 3*d - 1 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from ffffffffffif.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 1:29 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/3*(-4)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.63 - -0.13. What is the third biggest value in d, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 2342355.\nAnswer: 16396485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*n**3*p**4 + n**3 - 2*n*p**4 + 10*n*p**2 + 12*n*p - 9*p**4 wrt p?\nAnswer: 192*n**3*p - 48*n*p - 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8183, -31740, -70995, -125930, -196527, -282768, -384635, -502110?\nAnswer: -635175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 5429336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 2*a - 27, 5*a - 2 = -4*l + 23. What is the second derivative of w**5 - l + w + 3*w + 5*w**5 - 15*w**5 wrt w?\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*d**6 - 411*d**3*l - 158*d**2 - 2*d + 51*l wrt d?\nAnswer: 1680*d**3 - 2466*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -177243.458 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - (3 - 4 - -9). What is the tens digit of 3\/((b\/1)\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((-4 - 2) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.503 - 0.4473. What is z rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 AM and 1:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1585 is divided by 225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gjgggggjgjggggggjgg?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1229 is divided by 146.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 8, b: 5}. Give prob of picking 2 m and 2 b.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**5 + 3*z**5 + 0*z**5 + (-2*z**4 - 3*z**4 + 3*z**4)*(3*z - 6*z + 4*z) + (2*z - 2*z + 2*z)*(-2*z**4 + 2*z**4 + 2*z**4).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -8*g**3 - 24*g**2 + 44*g + 50. Let k(b) = -8*b**3 - 25*b**2 + 40*b + 51. Let z(t) = -6*a(t) + 4*k(t). Factor z(w).\nAnswer: 4*(w - 2)*(w + 4)*(4*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 15*h - 3. Let w(b) = -5*b + 1. Determine -2*a(j) - 7*w(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g + 6*g + 9*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -108*l. Let q(i) = -1262*i**2. Give q(w(d)).\nAnswer: -14719968*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 18*y + 36. Let x be j(-16). Suppose 5*c + 35 = 5*z, -3*z + 11 = -x*c - 7. Let u(d) = 9*d - 33. What is the units digit of u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p. Let v(s) = 37*s**2 - s + 3*s**2 + 78*s**2 - 35*s**2 - 2*s**2. Give r(v(m)).\nAnswer: -243*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.228 - 2.228. Let f = 14.2 + -17. Which is greater: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 586, 2\/11, 1, 0.5, -0.4, -11 in decreasing order.\nAnswer: 586, 1, 0.5, 2\/11, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -12, -5, -6 in ascending order.\nAnswer: -12, -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 415116.6 meters in millimeters?\nAnswer: 415116600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49378*w**2 + 3135*w**3 - 1 + 49376*w**2 + 1 + 6432*w wrt w.\nAnswer: 18810*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*u = 38. Let p = -17 + u. Find the second derivative of 3*l + p*l - 6*l**2 + 4*l - l wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 675151\/30 - 22501. Calculate the common denominator of 29\/25 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114620711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/(190\/12)*(-10)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/16970 and -61\/20364?\nAnswer: 101820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 51015914 to the nearest 10000.\nAnswer: 51020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 17 = 2*v - r, -v + 28 = 5*r. Suppose -v*o - 8 = -23. Suppose o*k - 1055 = -5*m, -2*k + 426 = 6*m - 2*m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1853443*n**3 - 3*n**2 - 8*n - 1017985182.\nAnswer: 5560329*n**2 - 6*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (0 - 6)) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(306)\/sqrt(2) - (sqrt(17) + 1 + 1 - sqrt(17))) + (sqrt(612) + 1)*1*1)**2*-5.\nAnswer: -19250 + 750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 4*r + 3*c - 8*c, -3*c - 27 = -6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -8.79.\nAnswer: 1.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w. Let y be z(-7). Suppose 59999960 = y*p - 2*p. Suppose -4*g + p = -5*s, g + 3*g = 3*s + 7199992. Round s to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 - (0 + 8 - 2). Solve 5*u + 15 = g, -4*l = -5*u + 3*u + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -1. Let m(k) = -k + 1. Calculate the remainder when 13 is divided by m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vvqbvbvvvjbqjvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 6*o + 0*o + 4 + o**2 + 0*o**2. Let y be n(-6). Suppose -g = -2*w + 59, -108 = -3*w - y*g - g. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 12. Let h = t + 3.4. Let k = -0.3 + h. Which is greater: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 123338?\nAnswer: 123334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4550230 is divided by 189582.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 59215591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3454132\/45 - -76750. Let k = 80\/9 + t. Which is the second biggest value?  (a) k  (b) -2\/11  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -0.81, 4.5, -2, 2, -1\/3 in increasing order.\nAnswer: -2, -0.81, -1\/3, 2, 4.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 3) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1912*c**4 + 2*c**2 - 25*c - 10?\nAnswer: 22944*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -608393, -608395, -608397, -608399, -608401, -608403?\nAnswer: -608405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/575 - 2318\/5175. Which is the nearest to -1?  (a) -3  (b) s  (c) -7  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -40*n - 37. Let f be h(-1). Let q = 6 + 2. Let k = q - 8. Which is the second biggest value?  (a) f  (b) k  (c) -0.4  (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*c**5\/23 - 490*c**4\/23 - 2264*c**3\/23 - 3904*c**2\/23 - 2048*c\/23 + 416\/23 = 0 for c.\nAnswer: -13, -2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/324 and 29\/1260?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-3)\/9)\/(8\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -109663 + 247663. Round i to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d - 60*d**3 - 215*d**3 + 5*d + 0*d**2 + 0*d**2 - 2*d**3 + (d - 2*d + 3*d)*(2*d - 2*d - d**2) in the form u*d**2 + a*d**3 + l + b*d and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*o - 181 - 2061 = -258*o + 3071 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 131677887 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4*s**2 - 81*s - 332. What is d(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {p: 1, u: 11, j: 5}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 100 + -82 + 164 + -264\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j + 1. Suppose -5*s - 13 = 2, 5*s - 430 = -5*i. Let v = -95 + i. Calculate w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m**2 - 5*m**2 + 2*m**2 + 2*m**2 in the form l + w*m**2 + s*m and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 4:22 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3055\/2730 - 21\/(-98). Suppose 8*j**2 - c*j**3 + 0 - 20\/3*j = 0. What is j?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 34*u**2 - 6*u + 125. Let i = 658 - 625. Is n(i) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**44*j*j)\/j*j**(-37)\/j)**21)**(-1\/9) assuming j is positive.\nAnswer: j**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 - -2 - -1) + -4. Let s(a) = -3*a**3 - 6*a**2 - 4*a + 6. Let d be s(g). Round d to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1769*i**2 - 20464*i**3 + 1769*i**2 + 3*i - 2.\nAnswer: -20464*i**3 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -498, -1011, -1518, -2013, -2490, -2943, -3366, -3753?\n\"Answer: l**3 - 3*l**2 - 511*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2 - 4 = 0. Let w = x - -9. Solve -q + w*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 11, 125, -1 in decreasing order.\nAnswer: 125, 11, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from {u: 5, t: 2, a: 3, m: 10}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 68*w + 48*w + 235*w - 34*w + (-w - 2 + 2)*(2 - 6 + 2).\nAnswer: 319*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d + 4. Suppose -3*q - 14 = -11. Let t be r(q). Suppose -n + 56 = k, -4*k = t*n - 19 - 93. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12276553 + -783\nAnswer: 12275770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4)\/k)\/((k**(-6)\/k*k)\/k*k)*k*k*k\/(k**3*k)*k\/(k*k**(2\/15)\/k*k*k*k) assuming k is positive.\nAnswer: k**(97\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 - 100*j**2 + 40*j**2 + 46*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -27  (b) 0.2  (c) 4  (d) 5  (e) -8  (f) 28  (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -403*w**3 + w + 1. Is u(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4*(3 + -1 + sqrt(468) + 0)**2*-6 + 4.\nAnswer: 576*sqrt(13) + 11333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*c + 51*c + 1 + 2 - 3.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 10. Let q(a) = -a - v*a**3 + 6*a - 3*a - 4*a**2 + 3*a**3. Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t - 14. Let h(b) = -7*b - 15. Suppose u = 2*v, 2*u - 3*u = 5*v - 21. Let p(a) = u*c(a) - 5*h(a). List the prime factors of p(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1750291 is divided by 260.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**3 + 23*h**2\/2 - 3*h - 4 = 0. Calculate h.\nAnswer: -4, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1631\/10928 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 522 is divided by 254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/(-36))\/((54\/(-60))\/(-3)). Let i = 0.978 + 0.022. Which is the nearest to i?  (a) k  (b) 2\/5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*z + 166 = -576. Let w(b) = -b**3 - 7*b**2 + 2*b + 13. What is w(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 22071*z**3 - 6*z**2 + 4*z + 1. Let t be r(8). Let s be (-3 + 6 - 4) + t. Round s to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 142*r + 67. Let j be q(-17). Let i = -63419\/27 - j. Calculate the common denominator of 97\/30 + -2 + 1 and i.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 10:51 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 2*r + 15, x + 2*r - 15 = -3*r. What is the highest common divisor of 3495 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/64*8*(-2)\/39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 15. Let k(o) = 21*o. Let y(l) = -5*l. Calculate t*k(a) - 9*y(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 249728.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 34*i - 256. Let t be u(-7). Solve 0 = -4*p - 11 + t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20107226 divided by -187918?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129951 is divided by 358.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721267307 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5499671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 + -3 + -1 + (-9 - (-21 - -19))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8109 - -8223. Let q be (3\/9)\/(2\/36). Calculate the greatest common factor of q and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24326701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5973 - -11973. Let n be 1\/(4 + (-23996)\/f). Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 501 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 489, 1947, 4377, 7779?\nAnswer: 12153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14546928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.3, -3\/7, 51.\nAnswer: -3\/7, -0.3, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*g = -265, -3*y + 5*g = -193 + 8. Let t be 2 - 1 - (-1 - 8). Calculate the greatest common factor of t and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176510821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.507 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + j - 16, -2*j + 17 = 2*y + y. Let z = -3 + y. Suppose -z*v**3 + 0*v + 0*v**3 + 2*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/2 - (-2)\/(-4). Let x be (-1)\/1 - (w + -1). Which is the third biggest value?  (a) 5  (b) -0.5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 PM and 9:27 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17556?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oboohebbkkooeko. Give prob of picking 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 3808.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -1. Let z be -8 + 1 + (-3002)\/(-418). Sort w, z, -2.\nAnswer: -2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.08 + 0.02. Which is smaller: 12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(16\/3)*(q\/q**(3\/13))\/q)\/((q*(q**(2\/31)*q*q)\/q)\/(q**(-7)*q)) assuming q is positive.\nAnswer: q**(-3581\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 40*p**2 - 245*p + 473. Let y be d(-32). Calculate the highest common divisor of 1925 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -40, 4, 1\/4, 5, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 11. Let q(i) = 0*i**2 + s*i**2 - 266*i + 266*i. Let a(h) = h. What is q(a(f))?\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8 + -65140ac?\nAnswer: -65140b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -199, -579, -1163, -1945, -2919, -4079?\nAnswer: -5419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**4\/4 - 15*q. Let t(x) = 13*x**2. Let u(p) = -2*p**2. Let m(l) = 2*t(l) + 14*u(l). Calculate m(k(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1337302*q**3 - 352642*q**2?\nAnswer: -8023812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -699.1 and 1129?\nAnswer: 1828.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - 12\/114 - 135\/(-19). Suppose 0 = -5*p + a*p + 12*p. What is the closest to 0.3 in p, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*sqrt(847))**2.\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**20\/p**(-22)*((p**(3\/10)\/p*p)\/p*p)**(13\/4))**(-1\/20) assuming p is positive.\nAnswer: p**(-1719\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/7)\/(p\/p**(14\/9)) assuming p is positive.\nAnswer: p**(62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(20\/6 - 3). Suppose 3*d - 59 = -3*c + w*c, -2*d - 3*c + 51 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -8*z + 40. Let j be k(5). Suppose -4*r + 0*r = j. Which is smaller: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of 22*y**7\/7 - y**4\/3 - 94*y - 115. Let i(c) be the first derivative of r(c). Find the third derivative of i(z) wrt z.\nAnswer: 7920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77753410 rounded to the nearest 100000?\nAnswer: 77800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -170*m + 1062*m + 37324 - 37328 to the form a*m + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 3*i**2 - 6*i**2 + 24.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18570 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - 1. Let c = q - -8. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1358984 is divided by 2284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -3*v + 1404, 3*v + 0*v = 3*c + 1446. What is the greatest common factor of 1520 and v?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 + -1*(-68)\/4. Suppose 8*p - v*p - 104 = 0. Let i be (12\/(-10))\/((-54)\/20). Which is the closest to -1?  (a) p  (b) -4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14704657*k**3*q*t + 2*k**3*t + 24*k**2 - k*t**3 - 2*q*t**3 + 5444*t**3 wrt q?\nAnswer: 14704657*k**3*t - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -a7?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s - 6. Let q be b(-5). Suppose -490 = 3*g - 17*g. Suppose 8*n = 5 + g. Solve -3*w = 3*j, -n*w + q*j - 8 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i**3 - 3*i**2 + 4*i - 2. Let p(u) = -11*u**3 - 8*u**2 + 11*u - 6. Determine -8*a(c) + 3*p(c).\nAnswer: -c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 6:29 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 (base 12) in base 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/18 + (-382)\/(-18). Let n(u) = 2*u**2 + 40*u - 1586. What is the remainder when 1055\/7 + 6\/s is divided by n(20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4160792l in millilitres?\nAnswer: 416.0792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 850 is divided by 202.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156849071.\nAnswer: 283, 554237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0249 + 5395.68767.\nAnswer: 5395.66277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11430160, 22860318, 34290476, 45720634?\nAnswer: 57150792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/107 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -372*o + 412*o = 240 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-16)\/5)\/((-2)\/15). Let s(t) = -7*t**2 - 8*t + 8. Let n(a) = 1 + 1 - 22*a**2 + 21*a**2 + 12*a - 1 - 13*a. Give g*n(f) - 3*s(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4874014*0.6.\nAnswer: 2924408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30*s**3 - 59*s**2 - 5525*s wrt s.\nAnswer: -180*s - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96330 and 4560?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*f + f + 3*f + (-4 + 2 + 4)*(-5*f - 2*f + 2*f) + 0*f + 4*f - 2*f in the form b*f + u and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/76 and 77\/26.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15\/(-6)*(172 + -178). Solve -6*l + v = 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0027406 - -2.\nAnswer: 1.9972594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21018 - 88074 = 446106*t - 445598*t for t.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 20, -2, -4223 in decreasing order.\nAnswer: 20, -2, -10, -4223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 48 - -2ce526?\nAnswer: 2ce56e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28 - 444?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.15, -2\/11, -6, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.15, -2\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 14 = w, -3*z + 10*w = 15*w - 34 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50760 and 35180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1516866 or -1516873?\nAnswer: -1516866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b - 2*b + 0*b - 2 + 2*b + 6*b - 3*b + (-3*b + 0*b + b)*(4 - 3 - 2) + b + 0*b - 2*b.\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 189*d**2 - 1789*d + 1381. What is b(198)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/27 - -97\/945. Let y(j) be the second derivative of -1\/105*j**6 + 0*j**2 + 0*j**3 - 1\/42*j**4 - c*j**5 + 0 + j. Factor y(p).\nAnswer: -2*p**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**6 - 402*i**5 + 3*i**3 + 36074*i**2?\nAnswer: 120*i**3 - 24120*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 55\/2*c**3 + 145\/6*c**4 + 15\/2*c**5 + 5\/3*c + 25\/2*c**2.\nAnswer: 5*c*(c + 1)**3*(9*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 15236.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5\/2 - 13\/6. Let a be 15\/25 + 9\/(-15). Suppose 4*o - 10 + 6 = a. What is the second biggest value in o, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1338074 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 0. Let r be -1*231 + (2 - 1). Let o = r - -1613\/7. Are o and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.5768 milligrams in kilograms?\nAnswer: 0.0000555768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 533035076 to the nearest integer?\nAnswer: 23088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.10686  (b) 2.4  (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**9*s*s*s)\/(s\/(s\/(s*s\/(s*s\/s**(-1\/6)*s))*s)*s))\/(s*s*s**(3\/8)\/s*s**(-1\/9)\/s*s))**(-17) assuming s is positive.\nAnswer: s**(-15793\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-45*l - 64*l - 16*l - 85*l)*(-4 - 1 + 6)*(19 - 24 - 42) in the form y + q*l and give q.\nAnswer: 9870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 + 0.5. Let o = -0.96 + u. Let b = -0.040071 + o. Round b to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/24)\/(1\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6301876880.08 + -4.42.\nAnswer: -6301876884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*j**3 + 14*j**3 + 16*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*u**5 + 4*u**4 - 80*u**3 - 40*u**2 + 72*u + 36 = 0. Calculate u.\nAnswer: -3, -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.06 and 23.5.\nAnswer: 23.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 288 = -8*i. Find the second derivative of -i*s + 3*s**3 + 124*s - 60*s wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2651663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2853 + 173 - 498 = 227*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1094881, 2189764, 3284647, 4379530?\n\"Answer: 1094883*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 606372532 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*3\/(-4))\/(-27*1)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*h + 6*h. Suppose -13 = -5*p + 3*r, r - 6 = -h*p + 1. Factor -p*g**4 + 2*g - 4*g - 6*g**3 + 6 - 6 - 6*g**2.\nAnswer: -2*g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1164 = 158*b - 61*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 6:42 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h - 6. Suppose 6*r = 10 + 14. Let p be a(r). Solve -i = p*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -481, -950, -1451, -2008, -2645, -3386, -4255?\n\"Answer: -4*m**3 + 8*m**2 - 465*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -387 = 3*n - 46*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 688530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + j**2. Let o be v(1). Suppose -g - g + 110 = o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 2*n + 10. Let a be p(-5). Suppose 4*m - 12 = a, 3*j + 5*m = 32 - 2. What is the highest common divisor of 35 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155522371.\nAnswer: 155522371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, r: 4, t: 7, u: 1, v: 2, a: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 7 = -3*p - 3*v, 5*v = p - 10. Suppose p = 5*j - 10. Solve 2*i - 18 = -4*z + i, 3*z - j*i = 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4289, -17227, -38805, -69023, -107881, -155379?\nAnswer: -211517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 637697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence szq when three letters picked without replacement from {x: 3, u: 1, z: 1, f: 5, q: 3, s: 5}.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*n**2 + 40*n**2 + 33*n**2)*(8*n**2 + 27 - 27) + (4*n**2 + 0*n**2 - 2*n**2)*(4*n**2 + n**2 - 3*n**2) - 4*n + 4*n + 2*n**4.\nAnswer: 934*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/(-20)*(5 - 5). Let g be (0 - i)\/(-7 - (-1 + -8)). Are 1\/1014 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 0*o - 10 = 2*a, 5*a = 4*o - 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, w: 4, p: 1, g: 1, t: 1}. What is prob of sequence ww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -282, -268, -242, -198, -130, -32?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**3\/7 - 1460*x**2 + 2*x\/7 + 1460 = 0.\nAnswer: -5110, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5 - 110*m**4 + 1758*m**3 + 67504*m**2 + 523705*m + 1242150 = 0. Calculate m.\nAnswer: -7, -6, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 14 = -54. Suppose 5 - 3 = s. Let t be ((-24)\/x)\/(s\/15). Solve -5*f = j + 15, -6*f - 4*j - t = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + j. Let y = 35 - 33. Let w(u) be the third derivative of 0*u**3 - y*u**2 - 7\/60*u**5 + 0 + 0*u - 5\/24*u**4. Give 5*t(q) + w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**25*(z\/(z\/(z\/(z*z**(3\/23)\/z)*z*z*z)*z)*z)\/z)\/(z**(-21)\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(3349\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 3668?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 23 - 11. Let j(k) be the first derivative of a + 15*k - k**4 - 1 - 3*k**4 + 0. Differentiate j(r) wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 9*v**2 - 10*v + 9. Let k be w(-10). Suppose 0 = -k*j + 8*j + 35. Suppose -4 = 31*t - j*t. Put t, -2, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 + -3.22. Let f = 1.77 - 1.25. Let i = f + h. What is the nearest to i in 4, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.2  (c) -47  (d) -85563  (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 3*b + 47, -2*b = -7*d + 5*d + 22. Solve 0 = 4*f + 5*k + d - 2, 5*k = -5*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4916.296 grams in nanograms?\nAnswer: 4916296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -110188960*o**2 - 13196134?\nAnswer: -220377920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 7 = 3. Suppose 0 = -4*b - 4*u + 28, b - 3*u = -13. Suppose 0 = f - 0*p + p + h, 3*f - b*p - 8 = 0. Are -1\/4 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y - 1. Let u(n) = n**2 - 7*n - 15. Let o(j) = 6*t(j) - u(j). Let h be o(0). Solve 0 = -3*l + 6*l + h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451 is divided by 116.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/16412375 and -71\/75028.\nAnswer: 65649500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.3 and -7.6198.\nAnswer: -9.90574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 191 + -192. Let y = -18 + 21.5. Let v = y - -0.5. Sort 5\/2, v, c in increasing order.\nAnswer: c, 5\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from pnpnnxtxpxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, -4, -1149 in descending order.\nAnswer: -0.7, -4, -1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(-36))**(-21)*(t*t**1*t\/((t**(-3)*t*t)\/t))\/(t**(-1\/5)*t\/(((t*t**(-1\/4))\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-15041\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 11:55 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.36 + -0.64. Sort a, 1\/2, 2\/9, 5\/2 in decreasing order.\nAnswer: 5\/2, 1\/2, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*r + 135*r + 759 = -110*r for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 66925 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: Is 491306653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 22*k - 9. Let o(b) = 4*b**3 - 27*b**2 - 89*b + 35. Let w(h) = 2*o(h) + 9*u(h). Is 23 a factor of w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 4 = 0, -1139 = 2*s + 4*y - 1151 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 + -107 + (-91 - -148)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 5*x = -17, 3*x = 4*z + 8 - 3. Let t(j) = 11*j + 3. Let i(p) = 6*p**2 - p + 1. What is the least common multiple of i(1) and t(z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -10020101102 (base 3) to base 15\nAnswer: -13d1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -7843  (c) 2  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of -w**4\/48 + w**2\/8 + 5*w. Factor u(q).\nAnswer: -(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 571008 * 0.3.\nAnswer: 171302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n\/n**(-1)))\/n*n*n)\/n*n**(1\/3))\/(n**4*(n\/n**(-2\/9))\/n)*((n*n**(1\/6)*n)**(2\/15))**(-22) assuming n is positive.\nAnswer: n**(-461\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {x: 1, n: 2, y: 1, u: 1, i: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) 2  (c) 4  (d) -3  (e) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -182  (b) 1\/4  (c) -0.013  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.5627 + -0.0073. Let r = 342 - 345.7. Let q = k - r. Round q to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1400 and 26124?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12790 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51454 - 32752 + 3*y + 84206.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, z: 2, y: 2, x: 2, r: 1}. What is prob of sequence xyxz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 264 divided by 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 38\/(-8)*(16 - 4). Let m = -183 + 78. Let x = v - m. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 18.6?\nAnswer: 74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 125*a**3 + a - 452*a**3 + 2747*a**3 - 4*a.\nAnswer: 2420*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 15*i**2 + 15*i**2 + 12*i**2 + 6*i**2.\nAnswer: 18*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 684782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 1011?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2307 != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -2*h**2 - 2*h + 108. Determine n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-38)*d*d)\/d)\/d*d**(-3\/8)*d)\/(d\/d**(-34))**40 assuming d is positive.\nAnswer: d**(-11499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3\/20 + -71\/60. Calculate the common denominator of -58\/3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 11*r**2 - 8*r - 10. Let j be n(10). Let y = 6865.9 - 6867.9. Which is the closest to y?  (a) 2\/15  (b) 0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 40 + -36. Let i = -6 - -6. Determine s, given that 2 - 5 - r*s**2 + 7*s**2 + i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 152\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-8) - -1)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 9:49 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -380523, 3\/4, -3\/7?\nAnswer: -380523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**3 - 7*s**2 - 5*s + 2. Let a be 25\/(-6) + (-18)\/(-108). Let j(l) = 2*l**3 + 6*l**2 + 4*l - 2. Calculate a*d(c) - 5*j(c).\nAnswer: 2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 185416 and 30228?\nAnswer: 127380792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r - 7. Suppose -36 = -0*w - 4*w. Let f be g(w). What is the second derivative of f*c - 2*c**4 + 4*c - 3*c**4 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7*12\/(-42))\/((1*-10)\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, q: 12}. What is prob of sequence kkq?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1760643258 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 497.4442g to micrograms.\nAnswer: 497444200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5509, 5510, 5511, 5512, 5513, 5514?\n\"Answer: u + 5508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**5\/60 + d**4\/3 + 5*d**3\/2 - 6*d**2. Let p be y(-5). Let k(i) = -i + p*i - i - i. Let l(u) = -u**2. What is k(l(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 228 + 102 = 0. Let t = 143 - i. Suppose 0 = 3*j - 64 - t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 12*i + 11. Let v(g) = -g**2 - g - 1. Let r(n) = h(n) - 2*v(n). Factor r(o).\nAnswer: (o + 1)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -103.049 plus 300.11?\nAnswer: 197.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k*k**(1\/3))\/k)\/k)**(1\/18)*k**(1\/12)\/(k\/(k\/(k\/k**6*k))) assuming k is positive.\nAnswer: k**(443\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6891871 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*x + 21 = -8*x, -5*x = -z + 25. Suppose z*s - 3*b = 45, s - 4*b - 50 = -4*s. What is the second derivative of -7*t + s*t + t**2 + 4*t**2 wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + 0*a**2 - a**2)*(1 - 1 - 2*a**2) + (-1 + 1 - 1)*(1 - 3 + 1)*(-5*a**4 + 3*a**4 - 4*a**4).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 2*y**2 + 2*y)*(-3 + 3 - 2*y + (-3 - 1 + 3)*(y - 2*y + 3*y)).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 l when four letters picked without replacement from lziiblzbbzbbiijbbz?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1047 - 1047. Suppose 0 = -3*d - 3*b - 0*b + 3138, -b = 2*d - 2095. Suppose u = m + 2*l - d, l + 1780 + 298 = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(57) - sqrt(342)\/(1*sqrt(6))) + sqrt(57) - (-2*sqrt(342))\/sqrt(6))*5)\/(sqrt(3)*2*-1 + sqrt(3) - (sqrt(135)\/sqrt(5) + sqrt(27))).\nAnswer: -15*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.8 and 165509.\nAnswer: -132407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3\/7, -38, -13, 0.5, -0.01 in descending order.\nAnswer: 4, 0.5, -0.01, -3\/7, -13, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/10  (b) -0.3  (c) -15  (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.7 - -2. Let r = 0.04 + 0.96. Let z = 5 - r. Which is the nearest to 1?  (a) x  (b) z  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 132 + 36. What is the highest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 5*b - 29, b - 3*p + 2 = -3. Let r(l) = -l**2 + 4*l + 5. Calculate r(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6 and 56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/((-12)\/7 + 2). Let h be x + (-2)\/(6\/(-9)). Which is smaller: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 2)\/(6\/(-15)). Let q = o + 8. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 less than or equal to 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v + 1. Let i be p(1). Let x(c) = -i*c**3 + 10*c**3 - 3*c**2 + c - 6*c**3. Let k = -2 + 4. Give x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2327596 to the power of 1\/2, to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, j: 1, s: 2, n: 1, z: 3, r: 7}. What is prob of sequence sr?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6*12\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*t - 17*t + 8 = -2*n - 40*t, -3*n = -48*t + 63 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -349*l**4 - 4*l - 116*l**4 + 4*l - 625 - 52 wrt l?\nAnswer: -1860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11653846499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 136 and 40902?\nAnswer: 163608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/98973083?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -92\/15 - -39\/5. Which is the closest to 4\/7?  (a) 4  (b) -0.02  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (15 + -15)) + (-3 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ejtteyyyyetetyeyyy. What is prob of picking 3 y?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - 2*m + 5, -4*a + 1004*m = 1002*m + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 5*o = -22, 19*o = -2*x + 24*o - 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2352 less than 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -21674, 5, -16 in increasing order.\nAnswer: -21674, -16, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/3)\/i)**38\/((i*i**(-1)\/i*i)\/i*i*i)**(-1\/11))\/((i\/(i**(2\/5)\/i*i*i))\/(i**(2\/3)*i*i)*i\/i**5*i**(-1\/2)*i) assuming i is positive.\nAnswer: i**(-18703\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -3. Let o be z\/5 - 9\/15. Let h be (-260)\/((-2)\/(o + 10)). Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -3363?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20209753*f*q + 9*f - 503204 wrt q.\nAnswer: 20209753*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, b: 7, i: 9}. Give prob of sequence zi.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3748 - -8872. Suppose -h - 27686 = -10*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = -9 + 27. Which is the third biggest value?  (a) t  (b) -0.5  (c) -2\/15  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-28)*-2)\/(30\/2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 10, 4, -2, -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53863*n**3 - 383*n**2 - n?\nAnswer: -323178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26280 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -t**2\/4 + 1365825*t\/4 + 682913\/2 = 0.\nAnswer: -1, 1365826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/8 and -119\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/10)\/(2\/(-4)). Let o = -841.7 + 519. Let f = -323 - o. Sort f, -2\/17, h.\nAnswer: f, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 + -2 - -2 - (-72 - 10885)?\nAnswer: 3, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppphppppppppchpppph?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 < 267\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 3:41 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28*k**3 - 17*k**2 + 386*k**4 - 28*k**3 + 17*k**2 + 466 wrt k.\nAnswer: 1544*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -55264, -56264, -57252, -58222, -59168, -60084, -60964?\n\"Answer: g**3 - 1007*g - 54258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002037 to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 8. Let f be r(4). Suppose 20*c + 15 = 17*c + x, x = 9. Suppose -4*p = -5*h, -4*p - 6*h + h - 40 = 0. Sort p, f, c in descending order.\nAnswer: c, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/5)\/(y\/y**(-5))*(y*y**(1\/4))**(-26) assuming y is positive.\nAnswer: y**(-389\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -7457 and -39408.\nAnswer: -46865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 1\/2, 2169, -1, -0.5, 31\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dbbvhbmbbvhhtvhbh. What is prob of sequence hd?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-110 - 4*b + 110)*(-b - 1 + 0*b - b).\nAnswer: 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -4*o**4 - 220*o**3 + 1216*o**2 + 29104*o - 61248 = 0.\nAnswer: -58, -11, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 886*m**4 + 2489 wrt m?\nAnswer: 3544*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 357624, 357624, 357622, 357618, 357612?\nAnswer: 357604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -8. Let p be (2 + 6 - 8)\/1. Sort w, p, -31 in increasing order.\nAnswer: -31, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 8, o: 5}. Give prob of sequence oozz.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**3 - 11*s**3 + 3*s**3 + (-6*s**3 + s**3 - 2*s**3)*(-5 + 2 + 5) + 3*s**3 - 286*s + 293*s - 2*s**3 - 2*s**2.\nAnswer: -23*s**3 - 2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68114 + 229.\nAnswer: -67885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*t = -215*t + 105*t - 72 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 53 - 53 = 0. Let q(z) = 5*z**3 + 1. Let k be q(1). Let a = k + f. What is the highest common factor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1675 in 4\/165, -20, 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100 + 16 + 837 + -654.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 604533896 divided by 302266948.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 297\/2673*(-66)\/(-4).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 668035401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do 751674 and 753227 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 2*w + 11)*(5 + 440 - 90).\nAnswer: 710*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 58 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 19*z**2 - 3*z - 55. Let o be f(-19). Find the second derivative of 37*n**3 + o*n**2 - 13*n - 2 - 2*n**2 + 26*n wrt n.\nAnswer: 222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 5*p**3 - 6*p**3 - 6*p + 4*p + 8*p**3 - 1. Determine w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -2\/21*c**3 + 7*c**2 + 1\/210*c**5 - 10*c - 1\/84*c**4 + 0. Let k(o) be the first derivative of p(o). Let k(z) = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22216988 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/5)*i)**(3\/7)\/(i**(4\/5))**(-46) assuming i is positive.\nAnswer: i**(187\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 200 divided by 3\nAnswer: 200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 246\/24 - (-2)\/(-8). List the prime factors of (-384)\/(-20) - 2\/d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -1187.347?\nAnswer: -474.9388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**2 + 2*u**2 + 0*u**2 + (-2*u**2 - u**2 + 5*u**2)*(-5 + 5 - 1) + (-5*u - u + u)*(u - 2 + 2) - 547 + 10*u**2 + 547.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -23 + -3 - -2 - -1. Is 525673\/437 - 2\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -156. Let z = 130 - f. Solve 4*w + w = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -1\/4*o**4 + 0*o**3 + o - o**2 - 2. Let t(w) be the first derivative of n(w). Find the first derivative of t(l) wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 431.2789ml to litres.\nAnswer: 0.4312789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 705129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -0*y. Suppose -c + 6 = -y. Let l be c\/(-10) - 3\/(-5). Solve 0 = m - 5 - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 + 363591*j + 727178.\nAnswer: (j + 2)*(j + 363589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3231527 divided by 1.\nAnswer: -3231527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {l: 1, b: 1, z: 3, p: 2, d: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**3 - 6*h. Let q be (-1236)\/721*14\/4. Let i(m) = 55*m**3 - 65*m. Calculate q*i(u) + 65*k(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28 + -28 + 11 + (-26 - -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**3 - 6*j**4 + 9*j - 9*j + 2*j**4 + 2*j**2 - 2*j**2 + (7 - 7 - 10*j**3)*(-1 + 5 - 2)*(-j - 3*j + 5*j).\nAnswer: -24*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 - 7*w**2 - 4*w + 6. Let v be n(-4). Let j(x) = -13 - 12 - 14 + v. Let g(r) = 0*r - 3 - 3*r - r + 5*r. Calculate g(c) - 2*j(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {s: 9, u: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 893808081 to the power of 1\/3, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/2968 and -91\/440?\nAnswer: 163240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**2 + 765*u - 762 = 0. What is u?\nAnswer: 1, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10.149 + 10.449. Let v = 0.9 + -4.9. Let n = 6.4 + -6. Which is the nearest to n?  (a) x  (b) -0.2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50919 (base 11) to base 8.\nAnswer: -221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2737788 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3630*s - 1784*s - 96 - 1839*s.\nAnswer: 7*s - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 6:04 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 3:50 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*x + 516 = 737 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.74 - -52.26. Let v = 58 - n. What is the third smallest value in v, 1\/11, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 22*d - 22. Let y be o(10). Suppose 0 = 4*p + 154 + y. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1547 and -0.0709?\nAnswer: -109.6823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 + 5 = 0. Let k = b - -129. Let w be ((-16)\/(-3))\/(22\/33). What is the greatest common factor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 60, 123, 180, 225, 252, 255, 228?\n\"Answer: -p**3 + 3*p**2 + 61*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - ((0 - -1) + -3))\/1. Suppose 11 + 1 = -3*l. Put o, 2, l in increasing order.\nAnswer: l, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30589 and 195?\nAnswer: 458835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 1\/1) + (-14 - -12). Sort 0, f, -4, 4 in increasing order.\nAnswer: -4, f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f - 7*f**3 - 30*f**3 - 5 - 38*f**3 - 3*f**3 + 15*f**3 as m*f**2 + n*f**3 + w + s*f and give n.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4137, 2\/9, 6, 5, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/3*b**2 - 2\/3*b + 2\/3*b**3 + 8\/3.\nAnswer: 2*(b - 4)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -353*h**2 + 10*h - 5?\nAnswer: -706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.90845817*-0.5.\nAnswer: 0.454229085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35764350?\nAnswer: 2, 3, 5, 151, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*b + 52*b = 67*b + 48141. List the prime factors of b.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51.88 + -54. Let y = k + -0.08. Let u = 2 + y. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 290.32707 months to years.\nAnswer: 24.1939225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/42)\/(35\/42)*21\/(-567).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*((-68)\/(0 - -17) + 4 + 1). Solve -q = -2*q + 4*u + 12, -t*q + 2*u = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 667735466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 667495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.660697 millilitres in litres?\nAnswer: 0.006660697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, -26, 2304, -1, -5 in decreasing order.\nAnswer: 2304, 57, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 44*d - 73 + 337 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + 1*sqrt(475) + sqrt(475))**2 + ((3*sqrt(931))**2 - sqrt(19)).\nAnswer: -sqrt(19) + 10678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of 0*o**5 + 0*o**6 + 0*o**3 + 0*o**4 + o**2 - 1\/245*o**7 + 0 + 0*o - 1\/392*o**8. Factor x(r).\nAnswer: -6*r**4*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxnnxn. Give prob of sequence nxx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 45 = 2*y. Suppose g + 4*c = -y, -3*g - c - 3 + 4 = 0. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 26*q**5 + 225*q**4 + 8*q**3 - 2643*q**2 - 4228*q - 588 = 0.\nAnswer: -7, -3, -2, -2\/13, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -4. Find the first derivative of 3 + 3 + 2*f - 5 - r*f wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*q + 3*s - 30 = 170*q, 0 = 5*s - 4 - 1 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*l**4 + 92*l**3 - 648*l**2 - 2432*l - 640.\nAnswer: 4*(l - 5)*(l + 4)**2*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2400 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 65652*v**3 - 188306 wrt v?\nAnswer: 196956*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c + 932 + 148. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 12*d**2 - 12*d + 3. Let v = -40 + 29. Calculate the lowest common multiple of 8 and l(v).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 9*m + 146 - 162 + 27. What is k(8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d + 18*d + 68*d**3 + 7083 - 7083 - 61*d**3.\nAnswer: 7*d**3 + 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -65 + 62. Let q = v + 4. Let a = -0.04 - 3.96. What is the second biggest value in a, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2061364 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {q: 4, r: 6, m: 3, p: 1, t: 2, l: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22\/6 + (-50)\/(-150). Solve 4*f - 20 = 0, 0*t - 4*f + 12 = k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 8 = 3*b. Let s(p) = -p**2 - 8. Let o(d) = -d**2 + d - 7. Let j(x) = b*o(x) - 3*s(x). Solve j(l) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 2130?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1987 + 1991. Solve -s*r - 32 = -4*q, q - 5*r = -156 + 176 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*m + 5*m + 2*m**4)*(-1 - 5 + 2)*(-4 + 4 - 2) as z*m**2 + j*m**4 + p + k*m + f*m**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 20.6.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -249179 by -249179.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -13, 12, 2, -4 in increasing order.\nAnswer: -13, -4, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -86746, 0.4, 0, 2, -781 in descending order.\nAnswer: 2, 0.4, 0, -781, -86746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 6*d + 2. Let b be z(-4). Let c(u) = u + 12. What are the prime factors of c(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-28)\/(-35) - (-12)\/10. Let z be ((-3)\/12)\/(d\/(-16)). Let m(o) = z + 2*o**2 + 2 - 4. Let q(j) = -9*j**2. Give q(m(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/12920 and 37\/35360.\nAnswer: 671840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from bzrnzbztnzn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**6\/120 + r**5\/20 + r**4\/4 + 7*r**3\/6 + 36*r**2. Determine s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of 3\/5*o**6 - 7*o**2 + 0*o**3 + 0*o**4 + 24*o + 0 + 0*o**5. Find the first derivative of x(m) wrt m.\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5740 and 7294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/9 - 33\/(-27). Let f(w) = -9*w - 3 + s - 4*w**2 + w + 4*w. Let c(u) = -5*u**2 - 5*u - 2. Give -5*c(q) + 6*f(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 5*m**2 - 4*m + 4. Let y be t(-3). Let u = -0.42 + 0.02. Which is the smallest value?  (a) 0  (b) u  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 724 is divided by 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12809 divided by 5.\nAnswer: -12809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50409 is divided by 16086?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*f**3\/5 - 12932*f**2\/5 - 122616*f - 402976\/5 = 0. What is f?\nAnswer: -1028, -49, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/900*14\/((-112)\/24)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/4))**(-20)\/(m*m\/(m\/m**(3\/7))*m*m**(6\/13)) assuming m is positive.\nAnswer: m**(-718\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68588.8 nanometers to meters.\nAnswer: 0.0000685888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/3 in -256, 0, -1\/13, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46547, 186193, 418937, 744779, 1163719, 1675757?\nAnswer: 2280893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 940 + 86879 - 11574 = -1105*j for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 70310 divided by -14062\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**3 - 10*s**2 - 2. Let w(d) = -10*d**3 - 51*d**2 - d - 10. What is -11*h(i) + 2*w(i)?\nAnswer: 2*i**3 + 8*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5316789707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 804\/5 - 2387\/15. Let o = 0.9 + -0.86. What is the closest to 2\/3 in -4, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a50 + 0?\nAnswer: 1a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2\/9 - 10580*z\/9 - 1029896.\nAnswer: 4*(z - 3339)*(z + 694)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*x - 2 + 2)*(7*x - 6*x + 7*x**2 - 9*x**2) to the form j*x**3 + d*x + k*x**2 + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2046 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.1 and 195?\nAnswer: 194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1*3.4\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 4*l + 9*l)*(-4*l**2 + 2*l**2 + 0*l**2).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 246885 or 246884?\nAnswer: 246885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*z + 3*z + 31*z to g*z + w and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3841.93076 - 3842. Round p to three decimal places.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(1\/7)*o)*o*o*(o*o\/(o**2\/o))\/o*o)\/((o**(1\/19)\/o*o)\/o**(1\/2)))**(-26) assuming o is positive.\nAnswer: o**(-11427\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2. Let n(l) = -16*l**2 + 22*l**2 + 11*l**2. Calculate n(r(j)).\nAnswer: 68*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 6) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -69 + 69. Let i(z) = 3*z**3 + z**2 - 3*z + 4. What is the least common multiple of 20 and i(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1905 times 0.2\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.1405 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5300 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6\/11)*(z*z**(-17)*z)\/z assuming z is positive.\nAnswer: z**(-182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z - 332*z**2 + 1016*z**2 - 9 - 335*z**2 - z**3 - 342*z**2. Let m = 4 + 3. What is s(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119, 476, 1069, 1892, 2939?\nAnswer: 4204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/98, -1\/820, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of s**5\/20 + 5*s**4\/6 + 4*s**3\/3 - 6*s. Is q(-9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62297414 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/v**(-1\/9))\/v*v)\/(v*v**(6\/7))*(v*v**(-5)*v)\/v*v*v**(2\/5)*v assuming v is positive.\nAnswer: v**(-424\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -5*i + 2. Let r(j) = 9*j - 4. Let a(c) = -11*k(c) - 6*r(c). Give a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 32767, 65530, 98293, 131056?\n\"Answer: 32763*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*z - 40*z + 378 = 0. Let q be (0 - z\/12)\/((-6)\/(-32)). Suppose 23 = -5*c + q. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1017*x + 127936 = 5015*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 - -31. Which is the second smallest value?  (a) 4  (b) d  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25975.\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1775 greater than or equal to -1817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 131 + -131.000211. What is k rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 2:43 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -63*m. Let t(x) = -x**2 - 592*x. What is c(t(q))?\nAnswer: 63*q**2 + 37296*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -97*o - 4062. What is g(-42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {w: 1, v: 1, q: 2, x: 1, r: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s. Let x(b) = -21*b - 230. Suppose -q + 533 = 534. Let m(w) = q*x(w) + 6*i(w). What is the derivative of m(y) wrt y?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*s - 140 = 4*s, -s + 236 = 5*i. Suppose 2 = h, i = 3*r - 5*h + 16. What is the least common multiple of 22 and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {t: 1, c: 2, z: 2, i: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2636850, 10547471, 23731846, 42189981, 65921882, 94927555, 129207006, 168760241?\n\"Answer: q**3 + 2636871*q**2 + q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.176 - 2.156. Let w = n + -0.02. Put -2\/5, 2, w in decreasing order.\nAnswer: 2, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**3 + 225*s**2 + 1810*s - 2040 = 0. Calculate s.\nAnswer: -34, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by -5.\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2040650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27227\/11258 - -2\/433. Find the common denominator of 8\/117 and f.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (447300\/1225)\/213*5\/(-15)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uubb. What is prob of sequence ub?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**2\/3 + 476*t\/3 + 1127 = 0 for t.\nAnswer: -7, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 w when three letters picked without replacement from tgwwwttpdwwwpwwt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 355 or 1652?\nAnswer: 1652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -177, -353, -529, -705?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6 + d + 2*d - 4*d - d. Let j be x(-4). Suppose -j*b = -3*b - r + 6, -3*r - 32 = -2*b. Calculate the lowest common multiple of 9 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21572456 and 1.\nAnswer: 21572456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -18*h - 395. Let o(g) = 4*g - 2. Give 4*o(d) + q(d).\nAnswer: -2*d - 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/60*16\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -3\/8*w**2 + 3\/4*w**3 + 3\/10*w**5 - 3\/4*w + 15\/16*w**4 + 7. Find y, given that b(y) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pksrrrkrklr. Give prob of picking 2 l, 1 r, and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhmhhhhmmhhmmhmm. Give prob of sequence hhmh.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -312020311031?\nAnswer: 312020311023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 7 = g, 4*g - 2*g = q + 1. Find the third derivative of -2*a**q + 3*a**5 - 4*a**5 - 2*a**2 - a**2 wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 - -6 - (1 + -5). Sort 1, l, -4 in descending order.\nAnswer: l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(2 - 38\/18). Let d = q - -85. Calculate the remainder when 22 + 1*d\/(-4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1645 - 740 - 1746 = -238*u + 85*u. Suppose 0*h - 4*h = 2*b - 864, 0 = -4*b - 2*h + 1728. Calculate the greatest common factor of u and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 9*q - 19. Is b(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 6*o - o - 239, -4*w - 5*o + 483 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (sqrt(126)\/sqrt(2))\/sqrt(9) + 3.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0\/1 - (3 + -57)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q - 2*q - q + (-5 + 1 + 2)*(q - 3*q + 0*q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/25 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18249 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 865671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 4\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**5 + 2*m**5 + 11*m**5 - m**5 + 23*m**2 wrt m?\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2841, 6148, 9923, 14166, 18877, 24056, 29703?\n\"Answer: 234*k**2 + 2605*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 18. Suppose -4*k = -2 + n, -5*h - 311 = 2*k. Let f = 77 + h. Solve -7 - 5 = -3*o, -f = 2*l - 4*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 76 - 86. Let n(i) = -i + 25. List the prime factors of n(p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2. Let m = -22933 + 22933. Let z(v) be the second derivative of -4*v**3 + m - 21*v + 0*v**2 + 1\/12*v**4. Determine o(z(b)).\nAnswer: b**4 - 48*b**3 + 576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293375 is divided by 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/(-14) + (-3)\/(-7). Suppose -5*d = j - 12, -5*j + 4*d + d = y. What is the second derivative of 10*m**2 + 0*m - 15*m**2 - m + 9*m**j wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.79 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -4*u - 39, -4*w - 38*u + 37*u + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3665a (base 13) to base 2.\nAnswer: 11000011001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j + 46. Let u be n(-11). Suppose -u = -x + 5*t - 3, 2*x - 8 = 5*t. Solve q + 7 = -5*l + 2*q, q + x = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495) - sqrt(495)*-2*-4)\/(-2*sqrt(1331)*-1))**2.\nAnswer: 2205\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r**2 - 75968*r - 8292393 = 0. What is r?\nAnswer: -109, 76077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (106\/4)\/((-25)\/10 - -6) - 7. Let 0 + x*h**4 + 4\/7*h**3 - 16\/7*h - 16\/7*h**2 = 0. What is h?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, x: 7, c: 2}. What is prob of picking 2 c and 2 m?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**2. Let w(q) = -31062*q**2 - 403*q - 62. Let l(y) = -2071*y**2 - 26*y - 4. Let c(r) = 31*l(r) - 2*w(r). Give c(h(n)).\nAnswer: -8308*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.0486 + -0.0486. Which is the second biggest value?  (a) -5  (b) s  (c) -0.05  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(1*2\/4). Let h = 28 + -28. Suppose -3*n - 15 = h, 3*n + 18 = 9*w - 8*w. Calculate the highest common divisor of j and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 32*n - 37*n - 5, 2*g - 4*n = 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 1\/4, 1\/14, -2.75, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54 - 9. Let h be ((-6)\/(-8))\/(m\/(-420)). Let l be (-4)\/(-22) + 42\/11. Solve -b - 5 = -3*b - w, h*w = -l*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 116*i**3 - 1. Let z be (4\/(-8))\/((-5)\/10). Is k(z) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d + 13. Let q(z) = -28*z + 147. What is 12*k(o) - q(o)?\nAnswer: 40*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uafufue. Give prob of sequence euu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -19, 0, 0.1, 26, -2\/11?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 1000021?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 4*a - 52, 3*a + a - 29 = -5*s. Suppose 5*z = -3*k + 54, 6 + s = 5*k. Let h(n) = 23*n - 10. What is the hundreds digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from zfiiiiziziizizifiz?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 1 = a, 4*a - 4*w = 7 + 21. Let t(s) = 953*s**2 - 2. Let c be t(a). Suppose -13025 = -3*m + c. Round m to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3879650 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g + 2429*g**3 + 7*g - 3332*g**3.\nAnswer: -903*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1615221499 to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 5176, -3, 3.\nAnswer: -10, -3, 3, 5176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, t: 13}. Give prob of sequence uutu.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (-3 - -797)*(-22 + 23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and 56?\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -235 divided by 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -248 + 250. Suppose 2*m + 2*m + l*k = 1986, 1487 = 3*m + k. What are the prime factors of m?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -51 + -22468?\nAnswer: -22509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-87)\/105 + 2\/5. Let o(y) = -y**3 + 20*y**2 + 2. Let d be o(20). Which is the third biggest value?  (a) g  (b) d  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 148. Let k = d + 139. Solve -2*v + 10 = -4*w, 2*v + k*w = -8 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 104  (b) -220  (c) -1  (d) -0.2  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(108) + sqrt(108)*-2)**2 - 1*sqrt(108)*-1) + 1.\nAnswer: 6*sqrt(3) + 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a = -14*a + 1104. What are the prime factors of a?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 291*z + 21. Let w be b(6). Let i be 9\/3 - -1*w\/(-7). Let s = i - -249. Which is greater: -1\/4 or s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -5*z**3 - 5*z**2 - 3*z - 4. Suppose -5*x - 5 + 0 = 0. Let d = 39 + 9. Let a(j) = j**2 - 15 - 16 + j**3 + j + d - 16. Give x*f(l) - 4*a(l).\nAnswer: l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 3 - ((-5 - -11) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -7 - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -y**5\/5 + 8*y**4\/3 - 40*y - 4. Let h(x) be the first derivative of r(x). Factor h(q).\nAnswer: -4*q**2*(q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 + a3028?\nAnswer: a3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i**2 + 53*i + 15. Let s be g(-13). Solve -2*d - s = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -84?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {h: 2, z: 3, d: 6, t: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*i - 48 = -29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -539235.\nAnswer: 4\/179745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -12*s - s. Let b(h) be the second derivative of -h**3\/6 - h**2\/2 + h. Let x(g) = -14*g - 11*g - 3*g - 9 + 17*g. Determine s*x(f) + 18*b(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d + 20610 = 30*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -661507 (base 12) to base 7.\nAnswer: -16524430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248869*m = -248872*m + 2*c + 66, -5*c = -3*m + 174 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5823*s + 5. Let n(p) = 17460*p + 17. Give -7*l(h) + 2*n(h).\nAnswer: -5841*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -1\/2*f**3 - 1\/100*f**5 + 0 + 171*f + 7\/60*f**4 + 9\/10*f**2. Suppose n(c) = 0. Calculate c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4 - 11 - 2*v.\nAnswer: -2*v - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1465*y - 724*y = 624*y + 1755 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009862 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o + 43 = 67 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -16*i**3 - 7*i**2 - 11*i - 129. What is the thousands digit of s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 5. Let r(l) be the first derivative of 3*l + 1\/4*l**4 - 5\/3*l**h + 3 - 3*l**2. Give r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4565 and 34030.\nAnswer: 374330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*c - 17 = -3*g, 4*g = -2*c + 38. What is the remainder when g is divided by 2 + -2 + 1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 389 a factor of 70409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a + 3*f - 22 = 15*a, 190 = 5*a - f. Suppose 0 = -3*p + 64 - 4. Calculate the remainder when a is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2919.89 + 2920. Which is bigger: f or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -243 (base 10) to base 6.\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 17641, 17652, 17659, 17662, 17661, 17656, 17647?\n\"Answer: -2*c**2 + 17*c + 17626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -40 and -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((44352\/990)\/(-224))\/((-2)\/(-430)*-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*d**4*q**3 + 203*d**3*q**3 - 2*d**2*q**3 + 1669*d**2*q**2 - q**2 wrt d?\nAnswer: 360*d*q**3 + 1218*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16994031 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 787919 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -552 or 60.6?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - -4. Let o = r + -9. Let w(v) = o*v - v - v. Let q(j) = 3*j**2. Determine w(q(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 4*b**2 - 5*b + 2. Let v be g(-5). Suppose -5*f + n = -v*f + 16, -f - 5*n + 16 = 0. Is (-90)\/f - 2\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 113*g + 1989. List the prime factors of c(52).\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -4 + -5 - 4 - (-36 - -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q**2 - 573*q + 10424. Give n(92).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 2*q + 8, 3*k + 2*q = q - 4. Is 3 a factor of 6 - (k + -2 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 28 = -27. Let j be (-83)\/9 - (21\/27 + -1). Let i = j + r. What is the third biggest value in i, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25775 - -25776. Let y(q) = -q**2 - q. Let j(t) = -t**3 - 8*t**2 - 6*t - 18. Give v*j(g) - 6*y(g).\nAnswer: -g**3 - 2*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 8\/5, 1337, -4 in increasing order.\nAnswer: -4, -0.5, 8\/5, 1337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 + 0*b**2 - 10 - 2*b**2 + 2*b**2. Let y(g) = -2*g**2 + 8. Let m(l) = 4*v(l) + 5*y(l). Let i(d) = -38*d. Calculate m(i(c)).\nAnswer: -2888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, t: 1, r: 5, w: 8}. Give prob of picking 1 s and 3 r.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z**2 + 32*z + 107. What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -37 + (-7458)\/(-113).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 (base 9) in base 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 570044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0*u)**(8\/9)\/((u*u**3*u)\/(u**(-2\/13)\/u)) assuming u is positive.\nAnswer: u**(-616\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + j**2 + j. Let y(n) = 8*n**3 - 4*n**2 - 6*n + 1. Suppose -2 = 2*q, -3*i + 0*q - 4*q = -50. Suppose 5*a = 2*a + i. Calculate a*s(g) + y(g).\nAnswer: 2*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 300495283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(165\/6) - 3248\/(-44). Suppose 0 = q + 1, -8 + 3 = -2*b - 3*q. Suppose 0 = -5*u + b*u + f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 6879975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -836 - 46 = 14*c. Put -5, -3, c in descending order.\nAnswer: -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -85947313?\nAnswer: 85947314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 h, and 1 e when three letters picked without replacement from yhqoqyoyeyheh.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2 = 5. Let y be (-4343)\/58308 + (-3)\/(-39 - -3). Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -120193\/288 or -417?\nAnswer: -120193\/288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + h**2. Let x be y(0). Let n = -21.6 + 20. Let l = n - -0.6. What is the nearest to x in -2, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/(-140)*7)\/(1\/388). Find the second derivative of 97*f - 392*f + 160*f**2 + g*f wrt f.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + -1. Let r = 31 - 17. Let s = -17 + r. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-4*3\/(-5700)). Let m = z + -774. Is m\/(-4) + 2\/8 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.354 - -0.354. Which is the smallest value?  (a) v  (b) 0.02  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(-3 - a + 0 - 2)*(3 + 1 - 3).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 287*c**2 - 47*c - 105*c**2 - 90*c**2 - 111*c**2 + 47*c.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33390 - 33390. Let q be 2 - (-8)\/(-2) - 25. Let s be (16\/(-78))\/4*q. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 50, 78, 106, 134?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 50241074 = -l - 145354930, 3*f + 3*l - 146696988 = 0. Round f to the nearest one hundred thousand.\nAnswer: 48900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1221571 by 5.\nAnswer: -1221571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101 - 91 = -5*p, 10 = f - 5*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*k*t**4 - 12164011*k*t**3 - 9470*k*t + 693*k wrt t.\nAnswer: -24*k*t**2 - 72984066*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 5*u**2 + u - 1. Let o be n(5). Suppose o*b + b = -k + 6, -2*k = -2*b. Which is bigger: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 228\/(-170) - (-18284)\/13060.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 = 80*u - 66*u. Solve 0*i = 7*i + u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 333.052 rounded to 1 decimal place?\nAnswer: 333.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i**2 - 5*i**2 + 3*i**2 - 21*i**2.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 3*k + 3. Let c be t(2). Let a be c + -2 + (252 - -9). Suppose -3*s - a = -9*s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1163, 1163, 1161, 1157?\n\"Answer: -s**2 + 3*s + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002054908394 to 5 dps.\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/40 and -101\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 129 - 73. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5894 = 8*b - b. Suppose -3*l = -m - 634, -4*l + b = -0*l + 2*m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 6*r**2 - 7*r + 5. Let i be c(5). Let y = -3 - i. Let k be ((0\/3)\/y)\/1. Sort -5, -2, k.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-88)\/(-33))\/((-14)\/6) + (-2)\/(-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -13. Let a(m) = 5*m - 3. Let h(s) = 11*s - 7. Suppose -4*g = 7*g - 594. Suppose -4*i - 2*i + g = 0. Give i*a(l) + v*h(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 6*o - 14. Let v be f(6). Let l be 1*(-12)\/8*(-280)\/(-84). Sort v, l, -1 in descending order.\nAnswer: -1, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 + 970*x**3 - 15360*x**2 + 65590*x - 51205.\nAnswer: 5*(x - 7)**2*(x - 1)*(x + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*s - 15176 + 25496 = 0 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/7 or -0.26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {t: 1, a: 1, p: 1, k: 1, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 0.5, 1\/6, -6, -127, 2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15265*h**3*p**3 - 8604*h**3*p + 2007*h*p**3 - 56*h*p - 2*h + p - 28 wrt h?\nAnswer: -91590*h*p**3 - 51624*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 6) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {s: 2, b: 1, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 10:29 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -107, 4, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from {v: 3, z: 3, w: 6, k: 2, u: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3)*(-2*s**3 + 2*s**3 - s**3) + (2*s - 2*s - 2*s)*(3*s**2 - 2 + 2) + 3 - 3 - 2*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 1cd9?\nAnswer: -1cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2439 and 205878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 2*q - 12, 3*q = -q + 4*p + 20. Suppose -z + 36 = q*v + z, -2*v - 5*z = -35. Solve 4*u - 50 + v = -5*h, -3*h + 2 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -49 - 3. Let x(z) = z**3 - 13*z**2 - z + 16. Let r be x(v). Factor 0*p**2 + 0*p + 0 - 1\/5*p**5 - 2\/5*p**4 - 1\/5*p**r.\nAnswer: -p**3*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + h**2 - 11*h - 5. Let o be p(5). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11222120011 (base 3) to base 14\nAnswer: 27a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*a = -62*a - 64. Solve 27*s = a + 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/3603 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0346 from -3455444496.\nAnswer: -3455444495.9654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2  (b) 4  (c) 9  (d) -1  (e) 2  (f) 2.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-1))\/((-27)\/(-2) + (-169 - -156)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 4*u = -5*o - 18, -13*o = -16*o - 14*u + 73 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 102 + -56. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 4*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of u**4\/12 - u**3\/3 - 2*u**2 - 2*u. Let p be w(4). Solve 0 = i - 2*x - p, 0*i + 3*x + 6 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2016 - 2015. Sort 3, -43, -1, g in descending order.\nAnswer: 3, g, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from jhjjfhhhjhjffjdhfj.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 153348381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r - 13 + 4 + 9. Let l(g) = -5*g**2 - 4*g. Give -4*k(x) + l(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 113 in 2\/7, -9\/2, 0.1, -5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-2\/5))\/(k**(-1)\/k))**15*(k**(-2\/3)\/k)**(-2\/17)*(k**4*k)\/(k*k\/(k\/k**2)) assuming k is positive.\nAnswer: k**(2713\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173*f - 50*f + 16725 = 0. Calculate the smallest common multiple of 321\/9 - (-2)\/(-3) and f.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3832 - -3832.0000008659. Round k to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34*b*l**2*s + 2*b*l**2 + 147*b*l*s - 190*b*s + 2550*l**2*s + 58*l**2 - 47*l wrt l?\nAnswer: -68*b*s + 4*b + 5100*s + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21120010 (base 3) in base 12?\nAnswer: 3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {r: 5, n: 6, a: 1, d: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0770034 centuries to millennia.\nAnswer: 0.00770034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8156.7 decades?\nAnswer: 978804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 15\/12*(-8)\/(-5). Suppose 0 = t*a - 3*a + 108. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-87))\/((-1)\/(4\/(-3))*6916\/(-5187))\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114 - 33. Suppose -m - 299 = -10*c. Put c, -3, 1 in decreasing order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460609*d = 459731*d + 92190 for d.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1152) + -2 - sqrt(8)).\nAnswer: 1 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 - 219*r - 1020.\nAnswer: -3*(r + 5)*(r + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**4 + 385230*o**3 + 16489641708*o**2 + 235307183064168*o + 940964922643296.\nAnswer: 3*(o + 4)*(o + 42802)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 5:09 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*r - 47, -v - 38 - 18 = 4*r. Let x(w) = w**3 + 11*w**2 - 28*w - 19. What is x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 24. Let b(x) = x**2 - x - 25. Let o(a) = 6*b(a) - 7*l(a). Let u be o(-8). Solve u - 8 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -18*c**2. Let n(y) = -3*y. Let z(u) = -16*u. Suppose -15*d - d - 176 = 0. Let f(k) = d*n(k) + 2*z(k). Determine f(q(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*a**2 + 10*a**2 - a**4 + (2*a**2 + 0*a**2 - a**2)*(43*a + 3*a**2 - 43*a) as n + o*a**4 + g*a**2 + t*a**3 + s*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(52)\/sqrt(4)) + 4 + 3*sqrt(52)\/sqrt(4).\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + k + 2 + 4)*(15 + 9 + 6).\nAnswer: 30*k + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 2*m**2 + 4*m - 20. Let o be k(-5). What is the greatest common divisor of 81 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.06 and 1.1431.\nAnswer: 1.0831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 - 44 = 2*q + 2*m, 4 = -m. Solve q = -42*a + 29*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 13 = -3*x, x + 3*i = -4*x - 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 97 + -52. Suppose -30 = -5*p - p. Calculate the greatest common factor of f and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**3\/6 - x**2 - 4*x. Let d be z(2). Suppose 0*t = 3*t - 3*h - 267, d = -4*t - 5*h + 338. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 384 and 29824?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 5*t**2 - 5*t - 6. Suppose 5*s - 18 = 12. Let h be d(s). Let z be 1*(2 + 0 + h). Solve z*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -w**4 + 1502935*w**3 - 9*w**2 + 1445910*w.\nAnswer: -12*w**2 + 9017610*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*v - 14. Let k = 18 + v. Suppose 0 = -0*h - 3*h + k. Calculate the lowest common multiple of 4 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/15*16\/(-64)*5*-6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*t + 2*t + 78. Suppose 2*q - t = -q. What is the least common multiple of 1084\/28 + 4\/14 and q?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77271859*o**5 - 430*o + 76064 wrt o?\nAnswer: -1545437180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1215371 + -64?\nAnswer: -1215455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**4 + 53*c**3 + 150*c**2 - 4*c - 200 = 0.\nAnswer: -50, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1970 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.82 - -0.32. Let p = 8.5 + -9.5. Which is the nearest to 1?  (a) p  (b) k  (c) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 7:02 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17061*s + 141959 wrt s.\nAnswer: 17061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 526 + 5?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/44 - (-87996)\/(-22). What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 5. Let b(w) = w + 1. Let z(u) be the third derivative of -7*u**4\/24 - u**3 + u**2. Give n*z(p) + 6*b(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + g - 9715 = -33703, 5997 = c - 2*g. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 105216*o + 922533888.\nAnswer: 3*(o + 17536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11 or -1003.185?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r\/(r**3*r)*r)*r**(6\/5)*r*(((r\/(r*((r*r*r**(2\/95))\/r)\/r)*r*r)\/r)\/r)\/r*r*r**5\/r)**(-10) assuming r is positive.\nAnswer: r**(-1554\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-28) - (-8 - 1)\/63. Let i(h) = -h**2 + 3*h + 5. Let r be i(4). What is the biggest value in r, g, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2495380, 2, -13.\nAnswer: -2495380, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-96)\/(-28)*(9 + -2). Suppose -g = 7*k - 11*k. What is the hundreds digit of 1252\/11 + -1 + k\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 7342.97um?\nAnswer: 0.00000734297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 110 - 106. Suppose 0*d = 5*d + 4*d. Solve d*v = -h*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4 = 5*o - t, -5*o + 36 = 4*t. Find the third derivative of 66*z**4 - 28*z**o - 31*z**2 - 34*z**4 wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l. Let i(x) = x**2 + x - 57. Let h be i(-11). Suppose 31 + h = 6*y. Let f(p) = 3*p - y*p + p. Calculate f(b(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1617)\/(-88))\/(-21)*16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 19*x**2 - 33*x. Let t(m) = -19*m**2 + 34*m. Let d(c) = 7*s(c) + 6*t(c). Find the second derivative of d(h) wrt h.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7213258120?\nAnswer: 2, 5, 109, 389, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1533 and 1354734.\nAnswer: 9483138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*b - 3*n + n, 9 = 4*b + 5*n. Let m = -60 + 60. What is the nearest to b in m, -4, -2\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -1)\/((-3)\/(-3)). Suppose 5*l + 16 = s, 0 = -3*s - r*s + 3*l + 48. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-34*q + 36*q - 1 - 9)*(2 + 1 - 2) - 22 - 7*q + 22 + q - 4*q + q as g*q + b and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**3 + 15*v**2 + 32*v - 9. Give i(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 11 = 3. Suppose 0 = w*l - 4*x + 52, 57 = -2*l + 2*x + 3*x. Let u = l - -21. Solve 3*c - 2 + 1 = b, -u*b - 5*c = -15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22889433 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s - 415 = -364. Solve -54*h + 57*h = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/3, 10, -3, -2\/377, 3\/4?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1441\/8970 - 9\/1495. What is the fifth smallest value in -0.1, -0.5, z, 0, -3\/62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 7*o - 1. Let n be x(4). Suppose 0 = -9*k + n*k + 10. Sort 4, k, -3, -6.\nAnswer: -6, k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s + 1365 - 20*s - 690 - 4*s - 689.\nAnswer: -19*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 874*c**3 - 26*c + 2. Let d(y) = -874*y**3 + 28*y - 2. Let r(m) = 6*d(m) + 5*f(m). What is the second derivative of r(j) wrt j?\nAnswer: -5244*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 7:27 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 272\/480*(-2 - (-18)\/5). Let x = a - 6\/25. Factor 4\/3*s**2 - 2\/3*s**3 + 0 - x*s.\nAnswer: -2*s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8868\/(-10 - -4)*(-3)\/6. Suppose 3*i - 191 = b. Suppose -15*x - i = -17*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-2\/61)*b*b)**(-23\/2)\/((b\/(b\/(b**(-3\/29)\/b)))\/((b*b**(-37)*b*b)\/b)))**(-22) assuming b is positive.\nAnswer: b**(2647183\/1769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9\/16 - -1\/16. What is the third smallest value in 1, c, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 897 and 7906457?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*i + 15. Let r be (-6)\/i*9\/6. Differentiate -4*v**4 - 1 + 5*v**4 - r wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33919\/6 - 5667. Calculate the common denominator of d and -79\/322.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 504 and 839592?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c - 5. Let v be f(-9). List the prime factors of v\/10 + (-436)\/(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*y**5 + 11*y**5 - 3*y**5 + (-y - 2*y**2 + y)*(2*y**3 - 4*y**3 + y**3) - 3*y**5 + y**5 - 8*y**5.\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3043\/5 - 18643\/30. Find the common denominator of s and 25\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*1 - 2\/(-2). Suppose -3*f + 6 = -m*f. Suppose i + 3*j = 55 - 12, 0 = -f*i + j + 51. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 5, -10, 403, 23.\nAnswer: -10, -2, 2, 5, 23, 403","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -49*g + 1. Suppose 0 = -n - n - 4. Let j be h(n). What is the highest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4698000 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 + 31.125. Let u = o - -0.075. What is the closest to -0.1 in 1, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 19 + 2*b**2 + 0 + 5.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-54)\/15)\/(5\/((-125)\/10)). Suppose 2*g - t = a, -124*g - 4*t - 16 = -122*g. Solve -12 = 4*w + 2*h, g*w = -h + 4*h + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of u**3\/6 - 41*u + 2. Let d(g) = 66*g. Determine b(d(c)).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4\/4 + 9586523*m**3\/2 - 91901423229529*m**2\/4.\nAnswer: -m**2*(m - 9586523)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 0, -3\/7, -17, 3911, 0.8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 1.1, 1, -11.29, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and (1 + -7)\/(4 + (-76)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 17 - 9 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 110729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o*o**(-4\/11)*o*o**33 assuming o is positive.\nAnswer: o**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 27\/201422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 12 = x. Suppose -5*t = 3*i - 117, -2*t + 0*t + x*i = -34. Is t at least 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 4:29 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 6:08 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*g + 24*g + 26*g - 2713620. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -109*a**2 + 8*a - 3. Let o(i) = 217*i**2 - 18*i + 7. What is 7*d(k) + 3*o(k)?\nAnswer: -112*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + 1 + 123\/(-63)*2. Let h = 5 + 3. Let s = h + -11. Which is the nearest to s?  (a) 0  (b) p  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(2\/5)\/g**(-4)*g**(-4\/7)*g*g\/g**(-2\/27) assuming g is positive.\nAnswer: g**(5578\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -67858 from -34687.28.\nAnswer: 33170.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b**3 + 26*b**3 - 5*b**3.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -139 (base 13) in base 14?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.24 + 7.24. Let g = 2 - j. What is the second smallest value in 3, 5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*n**3 - 6*n**3 + 3*n**3)*(-2*n + 3 - 3) + n**4 - 3*n**4 + 0*n**4)*(106 - 94 - 256)*(-1 - 2 + 0).\nAnswer: -2928*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.1 - -98.9. Let n = -104.0043 + j. Round n to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 33*w + 1. Let k(n) = 61*n. Determine k(v(x)).\nAnswer: 2013*x + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/9)\/((-2)\/(-9)). Suppose 20 - 11 = k*o. Let s be 2*7 - (2 + 1). Solve 1 + s = o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/7  (b) -4  (c) 2  (d) -89  (e) -12050\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 + 10019067?\nAnswer: 10019067.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 1 - 100*t + 8 - 5 + 104*t - 2*t**2. Give o(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1066968 and 84448.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -7*v**2 + v**2 + 5*v**2 - v**2. Let i(r) = 85*r**2. Calculate i(c(a)).\nAnswer: 340*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708*k + 3059 = 841*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/8 - 147\/(-12). Let k be (16\/a)\/1 - 2\/(-3). Solve 4*l + 10 = -k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14918144 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2121 = -118*o + 125*o. Suppose -3*u = y - 179, -2*y + 5*u + o = -0*u. Calculate the remainder when y is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/47, -11, -0.5, 17419, 3\/4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.3. Let o = z - 0.1. Suppose 3 = 4*i - 17. Which is the biggest value?  (a) -2\/7  (b) o  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 151785816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - 9*k + 2*k)*(-2*k**3 + 2*k**3 + k**4).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -8*p - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/2132732 and 151\/69714.\nAnswer: 57583764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + j = -o - 699, 0 = 2*j - 6. Which is smaller: o or 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-57796)\/(-7)*4305\/1230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 0*z**5 + 13\/2*z**2 + 3 + 0*z**6 + 0*z**3 - 4*z + 10\/7*z**7 + 1\/6*z**4. Find the third derivative of v(u) wrt u.\nAnswer: 3600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.05  (b) -6  (c) 7  (d) -23.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -10*p + 745. Determine f(75).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -93*m + 54. Let a(k) = -191*k + 108. Determine 5*a(o) - 9*i(o).\nAnswer: -118*o + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -37845*c**3 - 7498443*c**2 - 371677008*c - 24745152.\nAnswer: -3*(15*c + 1)*(29*c + 2872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/51, 0.05, 2\/13 in descending order.\nAnswer: 2\/13, 0.05, -4\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xin when three letters picked without replacement from {k: 1, i: 6, z: 4, x: 1, n: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 250641 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 2*h - 11 = h, -5*h - 15 = -5*l. Let t(d) be the second derivative of 0 - 2*d - 1\/2*d**2. Let w(j) = -j**3 + j**2 + 1. Give l*t(b) + 2*w(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3*j**2 + 3*j**2 + 1 + 6*j**2 + 4*j - 6*j. Calculate i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -20*f**3 - 36*f**2 + 14. Suppose -1 = 2*g - 7. Let k(n) = -4*n**3 - 7*n**2 + 3. Let l(t) = g*r(t) - 14*k(t). Find the third derivative of l(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10964 (base 14) to base 4.\nAnswer: 21311030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(245) - (sqrt(20) + -4).\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44803721 a multiple of 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1*sqrt(300) - ((-2*sqrt(300) - sqrt(300)) + 4)) + 3*6*(sqrt(300) + 0)*3)**2.\nAnswer: -5600*sqrt(3) + 940825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2691545 and 3538524.8?\nAnswer: 846979.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, u: 6, o: 2, g: 3, l: 5}. What is prob of sequence ou?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/9)\/((-3)\/(3*4))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and (1 + 9\/(-2))\/((-205)\/2050).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 241205147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1032*c + 10 = -1027*c, c - 10 = -s. Is s at most 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -83*c - 9. Let l(t) = -167*t - 19. Let h(n) = 3*l(n) - 5*v(n). Let z be h(-9). What is the hundreds digit of z\/(-4)*(-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**4 + 112*f**3 - 3004*f**2 + 2648*f + 5760 = 0. Calculate f.\nAnswer: -45, -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 12 = -3*r, -l - 3*l = r - 4. Let o(h) = 1 + 25*h**2 - 26*h**2 - 36*h + 4 + 38*h. Let s be o(3). Solve l = 3*v - s + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3 + (-35)\/(-75)*-1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.8, 2, -0.5, -0.3, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 11, v: 8, g: 1}. What is prob of picking 2 v?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1213211 (base 4) to base 13\nAnswer: 302c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 3*p. Suppose -6 = 2*w + 4*m, 0 = 2*w - p*m - 5*m - 12. Let h = -211\/45 + 24\/5. Is h smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 21*b - 7. Let i be g(2). Suppose w = 1 + i. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**3 + 294*k**2 - 3144*k - 620. Calculate o(-157).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/5  (b) 0  (c) -0.017  (d) 3  (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 10:32 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 10*u**3 - 2*u + 1. Let v be i(1). Let x = -40 - -41. What is the highest common divisor of v and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/4 and 58\/357?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.03  (b) 0.1  (c) -3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1979 (base 14) in base 13?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from xbbbxbbbxbxx?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 89 divided by -50034\nAnswer: -89\/50034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-6) + (-2)\/(-75)*-61)*860\/3440.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 505*x - 47509. What is h(125)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -479495123*k**3 + 58*k**2 + 201672*k + 3?\nAnswer: -2876970738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 274 + 5*g**4 + 31*g**4 - 278 wrt g?\nAnswer: 144*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405374 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 9:38 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1032 - 233342341?\nAnswer: -233343423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -24 + (24 - -9) + -5 + -16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 524383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 251.2 - 252.2. Which is the closest to g?  (a) 1\/53  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 686861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 divided by 14330?\nAnswer: 291\/14330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -7, 11, 2, -2 in descending order.\nAnswer: 11, 2, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from iiiijiiiiiiiiiiijii.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 3*t**4 + 153*t**3 + 1509*t**2 - 1665*t = 0.\nAnswer: -37, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-15) - 34\/(-10). Suppose -3 = -4*l - 4*d + 9, -6 = u*d. Solve 2 = -4*z + l*c + 3, z = -4*c - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24150 = 111*g + 234*g - 0*g for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 + -33. Let c be 3 + f\/3 + -24. Suppose 5*s = -3*j - 53, -3*j + 2*s = -s + 45. Is c at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*p + 38*z - 36*z, 5*p - 73 = -z. Let x(t) = 2*t**2 - 2*t - 4. What is the remainder when x(5) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, h: 4}. What is prob of sequence hj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**2\/2 - 6883*r\/2 - 642336 = 0. Calculate r.\nAnswer: -6691, -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (5 + -3 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14617*k**3 - 1 + 2 + 14633*k**3 - 2*k**2 - 59*k - 1 - 5*k**4 wrt k?\nAnswer: -120*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 1018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -838, -1620, -2402, -3184?\nAnswer: -3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v**2 - 120*v + 154. Let a be c(0). Do a and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 - -41. Let t be (3 + -2)\/(1\/3). Solve -b = w - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5421 + -5422. Which is bigger: -39\/151 or a?\nAnswer: -39\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of r**4\/12 + 13*r**3\/6 + 10*r**2 + 10*r. Let w be l(-11). Is -2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*h**3 + 4*h**2 - h - 116*h**3 - 3 + 0*h**2.\nAnswer: 253*h**3 + 4*h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**3 + 3*n**3 + 2*n**3)*((2 - 1 + 0)*(0 + 0 - 2*n**2) - 789 + 789 - 134*n**2 + (4*n + n**2 - 4*n)*(-2 + 1 - 1) + 2*n**2 - 3*n**2 + 0*n**2).\nAnswer: -139*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -3. Let j = -0.5 - -0.9. Let s = 0.14 - 0.04. Put j, g, s in descending order.\nAnswer: g, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g + 13 = -127 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167969 is divided by 4427.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -2  (b) -2\/7  (c) 2  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 5, -888748?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -7  (b) 13\/9  (c) 1\/7  (d) -1  (e) -317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 141465101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, x: 1, d: 6, q: 5}. What is prob of picking 2 d?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 4*h - 5*q - 53, -5*h = 5*q - 55. List the prime factors of 1*h*(-4)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623.1389208 rounded to two dps?\nAnswer: 623.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 20 = -4*o, 4*o - 63 - 65 = 3*k - 203 + 57 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-168)\/7)\/24)\/((-2)\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -6 + -5 + 0 + 4 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -109 - 7 - -298 - (3 + 43)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.002 - -0.498. Let t = -1.3 + 1. What is the closest to 0 in b, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90\/32 + (-675)\/(-3600)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgah when four letters picked without replacement from {a: 1, g: 2, r: 1, h: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3\/6)\/(((-40)\/600)\/(38\/(-15)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {l: 1, a: 2, c: 2, u: 1, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 9) in base 8?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*d**4\/4 + 407499*d**3 - 1707687*d**2\/4 - 19404*d + 38811 = 0.\nAnswer: -25874, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 35014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21282)\/141880*(-5)\/6.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (7 - -1) + -15 + 15 - (36 - (11 - 10))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/2 in 17, -0.09, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 193118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t - t**2 + 0*t**2 - 3 + 2*t**2. Let c = 228 - 221. Suppose -c = -8*b - 31. Determine l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*i + 350 = -57*i. Calculate the remainder when i is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p. Let r(c) = -16662 + 16662 - 228*c. What is k(r(o))?\nAnswer: -1140*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 36 + (1603 - 1646)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/234)\/(2*(-5)\/15)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -12*g + 98. Let r be w(12). Suppose 2*y - k + 68 = -0*k, 5*k = -2*y - 44. Let n = y - r. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -979 + 9789\/10. Put w, 4, -3\/23 in ascending order.\nAnswer: -3\/23, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 195896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*a**2 - 8*a**2 - 2*a**2 + 2*a**2 + 0*a**2 + 469 + 158*a**3 + a**5 wrt a.\nAnswer: 60*a**2 + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.32, 1, 3, -2\/3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 0 + -2 - 1. Let p(z) = -z**3 - z**2 + 2*z + 1. Let n be p(a). Let t(q) = 8*q - 6. Let d be t(n). Calculate the highest common factor of d and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(-9)*p)\/(p*p**(2\/15)\/p))**(-1\/5))**(-1\/31) assuming p is positive.\nAnswer: p**(163\/2325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 5*g + 22, t + 0*t + 19 = -5*g. Let u be ((-228)\/8 + 2)*t*-2. Calculate the remainder when (-4)\/8*u*-4 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 5*u**2 + 80*u - 759. Let m be y(8). Solve 35*s = m - 96 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.03  (b) 1  (c) -0.44  (d) -3\/4  (e) 6  (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000047187 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b**2 + 7*b**2 + 33*b**2 to k*b + i*b**2 + r and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 6) + -4 + (-9 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 163 + -158. What is the second biggest value in 0.3, -1, 0, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5991344*i**4 - 3013445.\nAnswer: 23965376*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) + (sqrt(1573) + 1)*-4 + sqrt(1573))*-5 + 5 + 0 + (sqrt(1300)*2*4 - sqrt(1300)) + sqrt(1300) + sqrt(1300) + sqrt(1300) + 4)**2.\nAnswer: 12180*sqrt(13) + 574141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.97945us to minutes.\nAnswer: 0.0000014496575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -64457.501 + 64595. Let k = v - 137. Round k to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 258 * -343.\nAnswer: -88494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64 - -73. Let h = -84 + 165. Calculate the greatest common factor of u and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 + 2)*(-14*v + 19*v + 14*v)*(2*v**2 + 7*v - 7*v - 2) in the form n*v**3 + o*v + i*v**2 + m and give o.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-16 + (15 - -3) - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*(-36)\/567*(-2)\/(40\/(-1)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 1784330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -255 (base 9) to base 16.\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 0.5  (b) 487  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21, -16, -123, -336, -691, -1224, -1971?\n\"Answer: -6*x**3 + x**2 + 2*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 273226299.\nAnswer: 3, 1201, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3980273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, z: 2, k: 1, u: 2}. What is prob of sequence dku?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 7703*o**2. Let h(t) = -176*t**2. Give s(h(q)).\nAnswer: 238608128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + b. Let d = -5 - -6. Let n(y) = 4*y - 1 - 6*y + d. Let a(j) = -n(j) - 2*p(j). Let l(o) = 2*o. What is l(a(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 32 = 3*l. Let v = -2 - l. Calculate the highest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 157 - 157. Let a(p) be the first derivative of 0*p - 2\/55*p**5 - 6\/11*p**3 + i*p**2 - 3\/11*p**4 + 5. Factor a(m).\nAnswer: -2*m**2*(m + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2\/5, 6, -24, -76 in decreasing order.\nAnswer: 6, 0, -2\/5, -24, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*m - 860 = 20*m. What is the lowest common multiple of m and 30?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-759)\/(-207) - (-4)\/(-6). Sort 458, h, 1.\nAnswer: 1, h, 458","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5012 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 447 divide 128714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5428, 3, 11 in descending order.\nAnswer: 5428, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311 + 315 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - (sqrt(288)*2)**2)*-3 + ((((sqrt(72) - sqrt(8)) + sqrt(8))*4)\/sqrt(4))**2.\nAnswer: -36*sqrt(2) + 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 5 + 9 = 0. Suppose -5*k - 48 = 4*i, 0 = -0*k - 2*k + 8. Let v = n - i. Calculate the remainder when 30 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4172\/6 + -1)\/((-141)\/(-1269)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add together -18842074 and -22744.\nAnswer: -18864818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2314735\/7 equal to 330675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1756726 + -35?\nAnswer: -1756762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -388 - -390. Let n(z) = z**3 - 8*z**2 - 10*z + 13. Calculate the remainder when (228\/57)\/(2*f\/8) is divided by n(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-7)\/2)\/7)\/((-5)\/(-110)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - -2)*(-452)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55 and 1628?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktkt when four letters picked without replacement from siiikkiiisitikisot?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-2) - 1)*0. Suppose 2*x - 6 = -d*x. Is -57*(x - 30\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1238043 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -2. Let q = s - 2.2. Let j = 31 + -30. What is the closest to q in 3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12752182843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-50)\/30*2\/(-4)*6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 1:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 3 - 764*k - 1.\nAnswer: -764*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 6*z. Let r be 8\/16*20\/(-2). Let u be p(r). What is the second derivative of 9*j + 5*j**3 + u*j**3 + 0*j**3 - 3*j**3 wrt j?\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 30, -9, 0.19?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkko when four letters picked without replacement from lllkoloolllko.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 239384116945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 244 and 305.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 34\/9*c**2 - 11 - 16\/9*c - 16\/27*c**3. Factor m(h).\nAnswer: -4*(h - 4)*(4*h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*u + 2*m = 4, 0 = 4*u - m + 2. Suppose u = 2*w - 0*w. Suppose w = -2*p - 10 + 6. Sort -8, p, -5 in descending order.\nAnswer: p, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 6*f - 620 = 0. What is the first derivative of -t**2 + 32*t - 524 + 415 + f wrt t?\nAnswer: -2*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 347004 * -1.592\nAnswer: -552430.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/635 and -121\/230?\nAnswer: 29210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -223122 in increasing order.\nAnswer: -223122, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5833 - -5795.632. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190 = -5*l, -2*f + 450*l + 1564 = 491*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 14863*k + 59425. Determine m(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2820?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -8*w**2 + 25*w + 9. Let r(b) = b**3 + 7*b**2 + 3. Let f be r(-7). Let s be a(f). Solve -4*u + s = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + (-6 + 6)*(1 + 0). Let s(i) = -4*i - 3. Let v be s(-7). Suppose -7*k + 2*k + v = 0. Put 4, k, b in increasing order.\nAnswer: b, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -1, 5, 23\/2, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.37 - -0.07. Let j = o + 0.5. Let b = -0.1 + j. What is the biggest value in -4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 223 - 223.91. Let p = w + 0.9. Let b = 0.01007 + p. What is b rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002304 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (0\/3 - (3 - -3)). Let q be 6\/l - (-78 + 0). Suppose 74*z + 2 = q*z. Which is greater: 20\/17 or z?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/204)\/(15\/(-180))*2\/(-6)*81?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59827*c + 30005*c + 30192*c.\nAnswer: 370*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 643228*i**3 - i**2 - 36*i + 7173 wrt i?\nAnswer: 3859368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23589 + a**2 - 3*a**2 + 23589.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*b = -56*b - 58*b + 1691 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 5*k = 5*r - 17, 5*r - 5*k = 25. Suppose -r*u - 15 = 7. Let s = 0 - u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30899258 divided by -2119.\nAnswer: 14582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33 in 0.2, 12, 3\/7, 4.3, -0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 322*l**2 - 56*l. Let q be 283\/(-5) - (11 - 58\/5). Let d(w) = -17*w**2 + 3*w. Determine q*d(h) - 3*o(h).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-1 + sqrt(720) + sqrt(720)))**2 - (sqrt(720) - (sqrt(720) + ((sqrt(720) + 2)*1)**2)))*-2 + 4.\nAnswer: -208876 + 3360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d**16)\/d)\/d*(d**(-1\/8)\/d*d)\/d)\/(d**(-2\/7)\/d*d*d)**(14\/3))**(1\/20) assuming d is positive.\nAnswer: d**(253\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 267124 and 3718?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3426806060 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 3 + -5 + 5 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5 - 26*d**4 - 34*d**3 + 74*d**2 + 136*d + 56 = 0.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 367.93 + -370. What is y rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**4\/4 - 3*c**3\/2 + 2*c**2 = 0. Calculate c.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, 1, -5 in decreasing order.\nAnswer: 1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 163222979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/14762 and 75\/1539274.\nAnswer: 16932014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 213.84756us?\nAnswer: 0.0000000594021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9544, -11\/27, -4, 3, -3 in decreasing order.\nAnswer: 3, -11\/27, -3, -4, -9544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1398698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (0 + -2 + 9 + (1 + 28 - 125))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.373258377 rounded to 3 decimal places?\nAnswer: 0.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 194475339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j + 285 - 247 = 0. Solve -4 = h + 3*s, 0 = -3*h + j*s + 18 + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -11*v. Let y(c) = -65*c. Let w(q) = 35*g(q) - 6*y(q). Let a be 1*-2 + 8\/2. Let b(h) = h + 0*h**2 - a*h**2 - h. What is w(b(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(-1 - 2*o + 1)*((-3 + 5 - 3)*(-15 + 19 + 8) + 0 - 2 - 1).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2145316.999909 - -2145290. Let k = -27 - d. What is k rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 11:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = y - 4*y. Suppose -37*v + 5*v - 3157 = 45*v. Is y less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggrojrrndjrrgoj. What is prob of picking 2 g, 1 j, and 1 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -83, -77, -71, -65, -59?\n\"Answer: 6*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + 5 + -5 + 6 + -5 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 6*a + 2. Let o be y(5). Let x = 39 - o. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 5*p = -3*v + 1105, -3 = 3*p. Suppose -2*h + h = 0, 2*o = -5*h + v. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1607 - 8067\/5. Find the common denominator of i and 89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -10000?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29\/18 + -5\/18. Which is smaller: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 18 = 2*f, 9*i + 2*f + 2*f + 849 = 835 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + -3 + 6 + -2. Suppose l*j - 31 = 11. Let m = -22 + 32. What is the lowest common multiple of j and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*sqrt(300)*-6 - (sqrt(588)*2)\/((sqrt(56)\/sqrt(2))\/sqrt(7)).\nAnswer: -254*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 61.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5\/3, -0.3, -2, 1\/5, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 + 10*x**2 - 40*x + 187. List the prime factors of u(16).\nAnswer: 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -290471475, -290471474, -290471473, -290471472, -290471471, -290471470?\n\"Answer: b - 290471476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 2305595610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000006101664 rounded to seven dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**4\/8 - 8*w**2. Find the second derivative of n(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 - 2*l**2)*(18*l - 2*l + 10*l) + 4*l**3 - 2*l**3 - 5*l**3 in the form j*l**3 + t*l**2 + s*l + a and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**4 + 80*c**3 + 490*c**2 + 720*c + 315.\nAnswer: -5*(c - 21)*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.61761 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5, 16, 37, 68, 109?\n\"Answer: 5*y**2 - 4*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -332 + 706. Let t = -382 + m. Let a(x) = -3*x**3 + 8*x**2 + 8*x - 6. Let i(j) = j**3 - 3*j**2 - 3*j + 2. Determine t*i(l) - 3*a(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33390808 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2, 1\/59, -84, 3?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 74.89 + -87650149.6.\nAnswer: -87650074.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 2 - 4 - 108467*g**2.\nAnswer: -108467*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-7\/5))**(-4\/3) assuming n is positive.\nAnswer: n**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 17.08 and 0.4?\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 5, a: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9436813, 9436811, 9436807, 9436801, 9436793, 9436783, 9436771?\nAnswer: 9436757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seventeen tenths of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 10*d**2 + 23*d - 172. Let i(o) = -o**3 - 7*o**2 - 7*o + 26. Let y be i(-5). List the prime factors of n(y).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i. Let s be r(-2). Suppose -4 - 5 = -3*l. Suppose -4*g + 150 = -s*b, -l*g + 4*b = -59 - 56. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 166 - 150. Solve -16*d + 12*d = -t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2. Let j(g) = 12*g - 9*g + 4*g + 10*g. What is r(j(o))?\nAnswer: 578*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -150, -128, -60, 78, 310?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 358. Let h(s) = -334*s**2. Determine k(h(c)).\nAnswer: -111556*c**4 + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 279552004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 22*f**2 + 43*f - 39. Determine t(20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 1, c: 5, n: 2, i: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (21 - 8) - (-3 - 19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39318.\nAnswer: 2, 3, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1532)\/((-24995)\/25000 - -1). What is k rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3778 - 3771. Solve 29*r = s*r - 44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 250932 by -11406.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**2 - 9*v + 5. Let z be y(3). Let x be ((-6)\/9)\/((-2)\/(-3)). Sort -2, x, z in decreasing order.\nAnswer: x, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/((-150)\/(-40))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*z**2 + z + 7*z**2 + 28*z**2 + 38*z**2 in the form q*z**2 + k + t*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -416*s**2 - 7*s + 7. Calculate o(1).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 9:26 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 5) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.3  (b) 5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, f: 2, o: 1, c: 1, m: 1}. What is prob of sequence of?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8076 and 17866804?\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 864 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e1 + 1?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45abc (base 13) to base 6.\nAnswer: 2420150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w. Let x(j) = 1794*j. Determine x(g(z)).\nAnswer: -3588*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -9*d**2 + 215*d + 1617. Give o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 178160 or 712639\/4?\nAnswer: 178160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eighty-seven fifths of a kilogram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20080 and 8.\nAnswer: 20080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*d**2 + 6*d**2 - 5*d**2.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w*w**17\/w)\/w)*w**(-14) assuming w is positive.\nAnswer: w**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -62*o**2 + 121*o**2 - 1 - 58*o**2 - 37*o**2. Suppose -2*t + 7 + 5 = 4*d, 4 = -d + 3*t. Let w(r) = d*r**2 + 0 + 0. Calculate i(w(u)).\nAnswer: -144*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/6 + 2)*-2. Sort d, 0, -3 in ascending order.\nAnswer: -3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.6, 2\/5, -1.299, 795\/2?\nAnswer: 795\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 14*h - 14. What is the remainder when j(-12) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-98 - 15*x + 98)*(1526*x - 1526*x + 44*x**2) as i + l*x + b*x**2 + t*x**3 and give t.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1052*k - k**2 - 3*k**3 + 14621 - 14621 to the form d*k**3 + r*k**2 + l + p*k and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {r: 1, u: 4, p: 1, a: 4, n: 1, f: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - -15. Let t = q + -26. Let v(g) = t - 6 + g - 7 - 1. Calculate v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -35135, -49001, -62867, -76733?\n\"Answer: -13866*b - 21269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*q**6 + 9*q**5 - 156697*q**3 + 622*q**2 + 1609.\nAnswer: -240*q**3 + 540*q**2 - 940182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 0)*((s**2 + s - s)*(3 - s - 3) + 0*s**3 + 0*s**3 - s**3) to i*s**2 + v + a*s + b*s**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 362535082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -2)\/((-1)\/(-149)). Suppose -i - 57 = -x, 2*x + 0*i = -5*i + p. Suppose 4*f + x = 222. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**33*(d\/((d\/((d\/(d\/(d\/(d*d*d**(1\/5)))))\/d))\/d*d))\/d)**(-5\/4) assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 55 - ((-2)\/(-1) + 1). Solve -2*c = j - 7, 0 = -4*c + 5*j + a - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) -2  (c) 1  (d) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 493*a - 497*a - 4*v = -124, 4*a = -2*v + 126. Solve -a = -13*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 17, l: 3}. What is prob of picking 1 l and 1 v?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2096, 2098, 2114, 2150, 2212, 2306, 2438?\nAnswer: 2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/750 and -163\/14250?\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - (-3 + 3))\/(-2). Let y = u + 3. Suppose -y*c = -12761 - 739. What is c rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/(-11))\/8*(-11)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 896.4187 decades in millennia?\nAnswer: 8.964187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 13 + -25)\/1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2a605 (base 16) to base 7\nAnswer: 1322021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 732\/(-244) - (0 - (-2 + 0)). Put 4\/9, k, -12 in ascending order.\nAnswer: -12, k, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*n = -37346, -576*n = -572*n + 12. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2)**(-2\/19)*q**(2\/13)\/(q\/(q\/((q*q**(2\/15))\/q*q))) assuming q is positive.\nAnswer: q**(-4409\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 13044420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1663, -1669, -1679, -1693, -1711?\n\"Answer: -2*s**2 - 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 800 - 292. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 2*u - 4. Let c be y(5). Let r = -13 - c. Solve -4*h - 2 + r = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -556*q - 6237. Calculate l(-14).\nAnswer: 1547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1073068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 7 = 3*y, -y + 2*f + 10 = -3. Let m(c) = 0*c - 4*c + y*c - 6*c. What is the units digit of m(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -54225524 less than -54225525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, -59, -144, -253, -386, -543, -724?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 2*j + 3*v, 3*j + 10*v - 9*v = -19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (2 + -12 - (4 + -9) - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 286 - 642 + 251 + 257 + 3*y to v*y + a and give a.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6683?\nAnswer: 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 929.9228l?\nAnswer: 929922.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2229*i**3*m - i**3 - 22*i**2*m - 20*i*m - 34*m wrt i.\nAnswer: -13374*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -72, 17, -2, 92 in increasing order.\nAnswer: -72, -4, -2, 2, 17, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*a + 1, -3 = 2*g + a - 2*a. Let d(z) = -6222*z + 7. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - 4. Let h = -74\/3 - -26. Sort 0.1, w, h in ascending order.\nAnswer: w, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 929367834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2508 divided by -11?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -453.61.\nAnswer: -3175.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -3. Suppose -b = -s*k + 366, 5*k - b = 179 + 278. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4\/9 - 6698*l**3\/3 - 80440*l**2\/3 - 965536*l\/9 - 429184\/3.\nAnswer: 2*(l - 10059)*(l + 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11115 + 16769. What is the greatest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6025754?\nAnswer: 2, 7, 430411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.03 + 0.03. Let y be ((-1)\/14)\/((-1)\/(-2) + -1). What is the biggest value in -3, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 18*l**2 - l. Suppose -3*k = 3*y - 135, -y + 4*k + 29 = k. Let w(f) = 39*f**2 - 82*f**2 + y*f**2. What is w(r(s))?\nAnswer: -648*s**4 + 72*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69668 = -5*t + 4*c, -2*t + 4*c = -t - 13956. What are the prime factors of t?\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-1) - 161\/196*3. Let t = s - -3\/4. Which is smaller: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5548 is divided by 1721.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -4*g**5\/5 - 89*g**4 - 3480*g**3 - 48600*g**2 + 108000*g + 920. Factor n(l).\nAnswer: -4*(l - 1)*(l + 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4353132cm in micrometers?\nAnswer: 4353.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 65 = 2*i - 423, -a = 2*i - 484. What is the units digit of 10*7*i\/54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01055388 * -3\nAnswer: 0.03166164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86*x - 88 + 30 - 2*x**2 - 2*x**4 + x**4 + 88*x - x**3 to p*x**2 + h*x + i*x**4 + a*x**3 + t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7829.88 rounded to the nearest 10?\nAnswer: -7830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/52284102 and 43\/9594.\nAnswer: 156852306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21 + 20. Which is bigger: 0.05 or b?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n. Let q(c) = 54*c - 6. Let h be q(3). Suppose -2*k = -5*y + h, 3*k + 2*k - 135 = -5*y. Suppose 0*a + y = 5*a. Let o(p) = 8*p. Give a*x(z) - o(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 2\/153, -0.1, -2\/9 in descending order.\nAnswer: 43, 2\/153, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18170*t**3 - 18057*t**3 - 17821*t**3 + 54056*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**5 + 3*m**5 - 2*m**5 + (-7*m**5 + 2*m - 2*m)*(-2 + 0 + 0).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -462*t = -42867 + 3597 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 29240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 6. Let u = -20 - -20. Let v be t(u). Suppose -v*n + 2*n + 120 = -3*a, -2*n + 60 = -2*a. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4836223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 4*o = 1, -3*o + 0*o + 4 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = 4*p + 22. Let d(f) = 70 + 9*f - f**2 + 8*f + 2*f**2. What is the lowest common multiple of d(-11) and p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = w + 3*d, -2*w = 3*w + 3*d - 130. Suppose 4*b - 36 = -4*v + 5*b, -5*v + 2*b + 42 = 0. Calculate the remainder when w is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 7071540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001552821 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9571 - 2?\nAnswer: 956b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppspsxxspxpsssp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -442 = -44*l + 42*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*a - 36 - 6. Sort 1, -3, a.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7505230, -7505162, -7505094?\n\"Answer: 68*g - 7505298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-90))\/(42\/(-70) + 1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/1*(-1)\/2. Let r(x) = -7*x + 2. Let o be r(p). Solve 3*k + o = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + p = -9. Suppose s + p*m + 194 = 2*s, -4*s = -5*m - 797. Suppose 0 = 4*b - 20, 5*g - 232 - s = -3*b. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19481665, 38963334, 58445003, 77926672, 97408341?\n\"Answer: 19481669*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/(-49))\/(4\/(56\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 210473 at most 210473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/60 and 91\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n + 190*n**2 - 88*n**2 + 37*n**2)*(-2*n + n + 3*n) to the form o*n**2 + f*n**3 + x*n + w and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03540706740292 plus -0.3?\nAnswer: -0.26459293259708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5850503417?\nAnswer: 11, 43, 163, 75883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/24*9 + 3241\/(-4). Which is greater: -4056\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9053 - -26896. What are the prime factors of y?\nAnswer: 7, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4527?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 522\/15 + 12 + (-8)\/10. Is 1\/11 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 2*l - 1 = -2, 0 = 4*s + 5*l + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**4\/7 - 3912387*g**3\/7 + 3912385*g**2\/7 + 3912387*g\/7 - 3912386\/7 = 0 for g.\nAnswer: -1, 1, 3912386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 214*m**2 + 3*m - 2. Let v be s(1). What is the highest common factor of 43 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.22 and -0.0508.\nAnswer: -0.011176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3341, 4122, 4901, 5678, 6453?\n\"Answer: -m**2 + 784*m + 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - 8*r - 1. Let z be -7*1 - (-8 - -9). Let h be i(z). Let j be (-2)\/9 - (1 + h). Which is the biggest value?  (a) j  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15\/11 - -179\/99. Let o = -137 - -137.101. Let f = o + -4.101. Which is the third smallest value?  (a) f  (b) q  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -10*s**3 + 9*s**2 - 16*s - 16. Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 196331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/11)*d)\/d**18)\/((d**(-16)*d*d)\/(d*d*d**(-1\/3))) assuming d is positive.\nAnswer: d**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 124866905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (-9)\/((-297)\/(-7068)). Let k = -215 - b. Put k, -77, -1, -0.1 in increasing order.\nAnswer: -77, -1, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(-1*3))\/(9\/720). Let l be 14\/5 - (-16)\/z. Suppose p + 3*p = -5*a + 33, -l*p = -2*a - 19. What is the remainder when 68 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 5 - 2. What is the units digit of 35 - (3\/u - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*r**2 + 0*r**3 - 5*r**3 + 4*r**3 + 3*r**3 - 4*r**3.\nAnswer: -2*r**3 - 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37049 + -37049.039094. Let t = 240 - 239.961. Let d = l + t. What is d rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1066 and 494?\nAnswer: 20254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-4))\/(3\/10). Suppose -5*v + 5 = 2*s + 3*s, 13 = v + 5*s. Is t equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 74.49?\nAnswer: 75.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 26 = -5*z + 3*a, 0 = -5*a + 15. Let i(u) = -u**2 - u + 2. Let h be 7\/(-5) - (-15)\/(-25). Let r be i(h). Solve r = -z*q + 3*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + q**2 - 4*q**2)*(2*q**3 + 2 - 2)*(7 + 11 - 2).\nAnswer: -128*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-5)\/(20\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 689\/6 - 115. Let b = -1.14 + -0.16. What is the closest to b in -4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0052454523 rounded to 6 dps?\nAnswer: 0.005245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99671715.\nAnswer: 3, 5, 11, 13, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 19 = -5*d - 16, -75 - 7 = w + 26*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 - 17. Suppose -j = -s + 3*j - 8, p = 3*s - 4*j. Let o = -36 + 39. Solve -s*t + 3 = -o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68193, -273261, -615041, -1093533, -1708737, -2460653?\nAnswer: -3349281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/10*2*9\/(-36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68.92859 - -0.05141. Let v = x - 69. Let y = 0.6 - 4.6. What is the fourth biggest value in y, -0.2, v, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/16484 and -53\/104.\nAnswer: 32968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**2 + 3*z**2 - 5*z**2)*(3*z + 0*z - 4*z) - 5*z**3 + 5*z**3 - z**3 - 3050*z**3 + 5834*z**3 - 3478*z**3.\nAnswer: -696*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 210 = -3*l, -7*u - 4*l + 256 = -3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 + -25. Let t = 1 - 2. Sort -4, b, t in decreasing order.\nAnswer: b, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 28, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -22 + 1 + (34 - -13).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43011 and 555780?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 at most -2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m + 4. Let f be o(-3). What is the greatest common divisor of 35 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -78, 0.5, -2\/89, -32, -2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 130 = -3*g. Suppose 0 = 5*j + g + 90. Let b = 55 + j. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8009 is divided by 68?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 1367, 0.29, -1, 0.611?\nAnswer: 0.611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 49*r - 1076. Let w be n(22). Solve w*x + 5*d = -21, 2*x - 3*d - d - 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + z + 0*z - z - z + 0*z + (z - z - z)*(0 - 4 + 6) + 11 - 11 + 3*z + (-2*z + z + 5*z)*(5 - 6 + 2) - 4*z + 0*z + 3*z + 0*z + 5*z - 3*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 74470970 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 35*16\/2*(-21)\/(-6). Suppose -9*s = u - 2852. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.81284 millimeters to micrometers.\nAnswer: 51812.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -14, -36, -76, -140, -234?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 729.345l in millilitres?\nAnswer: 729345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/36 - 16\/(-9). Suppose -8*j - 420 = -j. Let l be 4 + (j\/8 - -3). Which is the nearest to l?  (a) s  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51*w**2 - 2*w**3 + 33 + 3*w**4 - w + 41*w**2 - 2*w - 30 to m*w**2 + o*w**4 + t*w**3 + x + h*w and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 8.2. Let m = 21.8 - k. Let t = m - 23.0000119. Round t to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + 1)*(-2)\/(-12). Let h = -220.79 - 3.71. Let g = -224 - h. Put g, p, -3 in decreasing order.\nAnswer: p, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(sqrt(27) - (-5 + sqrt(27)*-2))*-5*-6.\nAnswer: -8100*sqrt(3) - 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6396373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25368*-4.\nAnswer: 101472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13153712, 13153629, 13153532, 13153415, 13153272?\n\"Answer: -w**3 - w**2 - 73*w + 13153787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 671954 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -34, 1, -10\/141?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-256)\/1216*2\/4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -257 - 313. Let w = -795\/7 + q. What is the common denominator of w and (2 + (-25)\/7)\/(5 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + (-136)\/(-32)*-1. Let v = 7 - 12. Let q = -4 + 8. Which is the closest to o?  (a) -0.2  (b) q  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 264940 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 89*b**4 - 2659*b - 91*b**4 + 2676*b - 61 + (4*b**2 + b**2 - 2*b**2)*(-b**2 + 3*b - 3*b).\nAnswer: -5*b**4 + 17*b - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b**2 + 823090*b + 823085 = 0.\nAnswer: -164617, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1210 divided by 220\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 12*n - 9. Let f be a(10). Suppose 3*w = -2*g - 4, 4*g - f = 2*w - 3. Solve 4*r = 12, -3*p + r = -5*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 142964001 a multiple of 2011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 8*o**2 + 5. Let w be d(8). Differentiate 2*m + w + 0 + 2 wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -32, -2, 5, -4, -1 in descending order.\nAnswer: 5, 3, -1, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 0.10562?\nAnswer: 1.10562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y - 21*y + 9 + y**2 + 11*y + 12*y + 2*y. Let l be q(-6). Which is the closest to -0.1?  (a) -4  (b) l  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5*o = 132, 5*r - 8*o = -3*o + 180. What is the highest common factor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 3*t**2 + 16 + 15)*(-3*t**2 + 5*t**2 + 0*t**2)*(-2*t + 8*t + 4*t).\nAnswer: 60*t**5 - 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/3 - 809*w**2\/3 - w\/3 + 809\/3.\nAnswer: (w - 809)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (565 - 512) + (-59 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 3) + -1 - (-132 + 57 + 96)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-48)\/6 - 1361136\/(-30) - (-28)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence flqs when four letters picked without replacement from fltfqqs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 147.9553 seconds?\nAnswer: 147955300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + p - 63. Give o(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29683\/3 - 9893. Let l = 8 + -14. What is the smallest value in a, l, 3, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -58197167654 and 2.\nAnswer: -58197167652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -6*a + 90. Let i(k) = 3*k - 45. Calculate -10*i(x) - 4*v(x).\nAnswer: -6*x + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/((-54)\/48)*184\/(-920))\/((-2)\/60).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-5 - -11))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*a + 4*a - 4*a)*(-3*a**2 - 4 + 4 + (-6*a + 3*a + 0*a)*(3*a - 3*a - 2*a)) as j*a**2 + p*a + l + q*a**3 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*u + 419 = 0, 21*b - u = 24*b - 257. Solve -80*o = -b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 21*x + 242. Calculate l(-31).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 10. Suppose 0 = 4*p - 4*w - 144, 4*p - 7*w + c*w = 140. What is the common denominator of p and -29\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l - l + l + 0. Let r(a) be the first derivative of -2 + 0*a + 1\/2*a**2. What is r(u(x))?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do 657\/16147 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448)*1 - sqrt(2448))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154864590.\nAnswer: 2, 3, 5, 449, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2969)\/(-4655392))\/(3\/32).\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -c**3 - 129*c**2\/2 - 126*c + 952. Determine o so that d(o) = 0.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*q**3 - 51*q**3 + 18*q**2 - 18*q**2.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -77521401*x**2 - 52248527 wrt x?\nAnswer: -155042802*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yycrkfkyycyccfyfcc. Give prob of sequence kkr.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 4*n**2 - 3*n - 5. Let z be a(5). Let r = z + -4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8773.\nAnswer: 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4891943 is divided by 376?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(7920) - (sqrt(7920) + sqrt(7920)*-1)) + sqrt(880)*-1)\/(4*sqrt(45)*-3))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13702 + -13702.5. Let h be ((2 + -1)*-2)\/1. Which is the closest to 0?  (a) h  (b) -5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {w: 1, p: 3, k: 5, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 27230, 27229, 27228?\n\"Answer: -l + 27231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17432 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y - 233 - y**2 + 29 + 188. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((2 + sqrt(343) - sqrt(343) - sqrt(343)) + 5 + sqrt(343)*-1 + 0)*1)**2.\nAnswer: -196*sqrt(7) + 1426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 84 divided by 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46405?\nAnswer: 5, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6463\/3652 - 21\/83. Let k = -1\/48675 - 5354029\/10757175. Let u = -21443\/2652 + k. What is the common denominator of f and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4551601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 703, 5, -2 in decreasing order.\nAnswer: 703, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/60)\/(12\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -24297607 - 36\nAnswer: -24297643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**4 - 7*l**4 + 2*l**4 + 4*l**4 - 2*l**4 - 3*l**4 + (-13*l**4 + 8*l**4 + 2*l**4)*(4 - 1 - 1).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-1\/4)\/(o*(o*o**0)\/o))\/((o*o**4)\/o**(-2\/5)))**(-46))**(2\/109) assuming o is positive.\nAnswer: o**(3059\/545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r + 718792451369 - 718792451369.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.09 and -11.\nAnswer: 11.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.4 + 4. Let g = p + 1.4. Which is the smallest value?  (a) -1\/2  (b) g  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11627.835 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -880*y + 163664. Determine c(186).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1185466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/6 + (-65)\/(-30). Suppose -2*c + 8 + i = 0. Solve -2*h = c - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -37, 3\/8, -7\/3, -1, 0.07015?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*z + 23*z**3 - 36*z**3 + 106*z - 31*z**3.\nAnswer: -44*z**3 + 73*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -6*q + 3. Let x be m(4). Let t = 70 + x. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 + 52*p**2\/5 - 54*p\/5.\nAnswer: 2*p*(p - 1)*(p + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001262493 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245*j = -4*i + 250*j + 49, -5*j = 25. Solve -i*f + 20 = 4*l - 7*f, -3*l - 3*f = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)\/(m*m**2\/m)*(m**(-1))**(1\/51))\/((m\/(m**(2\/5)\/m))\/m**6*m**(-2)*m*(m\/(m*m**(-1\/4)))\/m) assuming m is positive.\nAnswer: m**(2173\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.2, -1, -268\/7, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/((-5)\/(-50)*-8). Solve -t*a = -1 + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 893 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -53099771 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 3:42 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 8:21 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 3191800640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 8*z**2 + 31 - 10*z**2 + z**3 + 21*z - 11*z**2. Let w be p(11). Solve -4*k = k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0614 - 400.9386. Let z = -400.8670858 - -0.0660858. Let u = y - z. What is u rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3657, -14622, -32897, -58482, -91377?\n\"Answer: -3655*o**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1543 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -470906 * 1.028\nAnswer: -484091.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -171  (b) 0.09  (c) 3\/7  (d) -4  (e) -20  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + c**2 + 5*c + 34. Determine q(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1285, 3755, 7875, 13645?\nAnswer: 21065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (12\/18)\/(9\/(-594)*(-8)\/(-2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 553411 - 454?\nAnswer: 552513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 0 + -1 + (-81 - -88)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**2*j**2 - 65*f**2 + 3*f*j - j**2 wrt f?\nAnswer: -4*j**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12135 and 2970?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/39 and 43\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 34  (c) 2\/15  (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-9 + -1 + -3 + 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9383 divided by -853?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 7:29 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**7\/42 + 5*u**6\/3 - 19*u**5\/2 + 70*u**4\/3 - 185*u**3\/6 - 5642*u**2. What is i in y(i) = 0?\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000943845 to seven dps.\nAnswer: -0.0000944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 31914.\nAnswer: 1\/15957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 510011367 and 16428.\nAnswer: 4107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -2356029 to the nearest one thousand.\nAnswer: -2356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*v**2 - 4*v**3 + 48902 - v**3 - 48900 - 10*v + 3*v + 2*v**3 in the form l*v**2 + x*v**3 + w*v + z and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + ((-2)\/32 - (-7055)\/(-2448)*9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87185431 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 4*j - 3*m, -5*j - 2*m + 14 + 45 = 0. Calculate the remainder when 50 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 13944917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/(-91) + (-279)\/(-84) and -65\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/12 - 1)\/(36\/32)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/9 + 92*t**2\/3 + 2080*t\/9.\nAnswer: 2*t*(t + 8)*(t + 130)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = k + 5*l, 5*k - 3*l + 0*l = 389. Suppose -w + k = 2*a, 0*w - 3*w + 4*a = -267. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*j**3 + 218*j**2 - 800*j - 384.\nAnswer: -2*(j - 8)**2*(7*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -3*g**4\/4 - 19*g**3 - 72*g**2 + 540*g - 7976. Factor u(p).\nAnswer: -3*(p - 2)*(p + 6)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 - 60*b**2 + 62*b - 163. What is s(59)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-304)*(-3228)\/(-540). Let t = p + 2\/285. Which is the third smallest value?  (a) -2  (b) t  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 329100 and 4.\nAnswer: 329100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 111877147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-68)\/153)\/(2\/(-9)). What is the second derivative of 4*s**2 + s - s**m + s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 15 = -3*p, u = 3*p - 12. Suppose 0 = u*z - 55 - 35. What is the highest common divisor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 65, 183, 349?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-87)\/270 + (-16)\/(-72). Which is the smallest value?  (a) z  (b) -0.3  (c) 5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -4*x**7\/105 - x**5\/60 + 8*x**2. What is the third derivative of v(u) wrt u?\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 180 = -5*d, -3*d - y = -123 + 15. Does 13 divide (-4)\/(((-6)\/4)\/(3969\/d))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/5)\/((-10)\/75)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 + -20. Suppose l - 3 = 10*m. Solve -m*a - a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6423 (base 8) in base 12?\nAnswer: -1b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1271636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**2. Suppose 0 = z + 3*p - 9 - 4, 2*z - 31 = -p. Let m(s) = 7*s**2 - z*s**2 + 14*s**2. Calculate o(m(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p - 1. Let u(o) = -5*o + 1. Determine 3*c(z) - u(z).\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1211233 (base 4) to base 7\nAnswer: 24661","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 17328 - 16978. Calculate the highest common divisor of d and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 209 + -208.09. Let f = -13589 - -13588.08844. Let d = v + f. Round d to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 4, e: 5, p: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22511 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6272924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 divided by -197?\nAnswer: -93\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t. Suppose 3 = 2*u - u. Let j(c) = -6*c + u*c + 2*c. What is -22*j(p) + 6*r(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*f + 50*f - 41184. What is the smallest common multiple of 1872 and f?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0797 and -0.445667.\nAnswer: -0.525367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 0 + ((sqrt(1800) + sqrt(1800)*-1)*-3)\/((sqrt(441) - (-2*sqrt(441) + sqrt(441)))*3))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336 = -73*g + 94*g. Sort 1, 10, g.\nAnswer: g, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = z - 3*q, -62 + 63 = z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 4\/3*v**3 + 0*v**4 + 0*v**5 + 0*v**2 + 0*v + 5\/7*v**7 + 0*v**6 + 28. What is the third derivative of x(k) wrt k?\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0831 - 0.0254. Round z to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 118 + -38 - -5 - 32.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 40 - -0.012337\nAnswer: 40.012337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29899 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236507 is divided by 12445.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -107 - -110. Solve p + 16 = -j*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117624097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**2 + 2*s**2 - 8*s - 18 + s**2. Let k be z(10). Find the third derivative of -4*j**2 - 2*j**k - 3*j**2 + 3*j**5 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 194371*x**3 + 2*x**2 - 3*x + 2. Let w be v(1). Suppose 2*y - w = 1135628. What is y rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -206*c**2 - 11*c + 332. Let r be g(-22). Round r to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**3 + 14*y**2. Let a(z) = -6*z**3 + 27*z**2. Suppose -6*b + 4*u = -7*b + 13, -u - 16 = 3*b. What is b*n(i) + 4*a(i)?\nAnswer: -3*i**3 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3331, 6662, 9993, 13324, 16655?\nAnswer: 19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 9*g**2 + 8*g + 11. Let p = 74 - 66. Calculate the remainder when 32 is divided by j(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 3*h**2 - 4*h + 1. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, t: 2, m: 3, q: 1, g: 3, u: 3}. What is prob of picking 1 g, 1 q, and 1 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1. Suppose 11 = z - 3*a, 0 = -4*z - f*z - 4*a + 60. Let v = -1 - -13. Calculate the smallest common multiple of z and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5135*v*y**2 + 101*v*y - 23*y**4 - 781*y wrt y?\nAnswer: -10270*v - 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 16*d**2 + 6*d + 44. Let s be l(-12). What is the first derivative of s*i**3 + 107*i**4 + 3 + 40*i**4 - 548*i**3 wrt i?\nAnswer: 588*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -3\/10808?\nAnswer: -3\/10808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**3*k**2 + 950*c**3*k + 4*c**3 - 2*c**2 - 13*c*k**2 + 26*k**2 - 5*k wrt c.\nAnswer: 6*k**2 + 5700*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/(-1))\/((-6)\/(-3)). Suppose 2*j - 4*t - 16 = u, 4*t = 3*j + t - 27. What is the least common multiple of j and -2*(-5)\/2 - -13?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 12*v**2 - 2*v + 1. Let q(y) = 23*y**2 + 9 - 8 + 1 - 5*y. Let x(c) = -5*p(c) + 3*q(c). What is the remainder when x(-4) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 26*z**2 - 2*z - 40. Let v be u(-26). Let n be (v - 5)*8\/28. Factor 0*a + 1\/4*a**n - 1\/4.\nAnswer: (a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2 = s. Solve -s - 2 = -t, -5*t + 25 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0*n + 2*n)*(-1 + 1 + 2) + 2 - 2 - n + n + 3 - 3.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -637 by 5588.\nAnswer: -637\/5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 5. Let i = 1 + 13. Let b be ((-42)\/(-49))\/((-2)\/i). Let u be x(b). Do u and 2\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 19*d + 4 + 5 + 30*d + 36*d - 89*d. Let z(q) = -7*q + 18. Determine -5*n(c) + 3*z(c).\nAnswer: -c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((0 - 3) + 6)*(3 - 2). What is the second derivative of 143*f - 5*f**5 - 131*f - 3*f**2 + b*f**2 wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from ihuwiqhx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51 + -41. Suppose 4*l - 2 = 2*x, 3*x - 1 = -5*l + 18. Calculate the greatest common divisor of l and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, -1\/4, 3\/466, -10?\nAnswer: 3\/466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 19 + 3. Suppose 0 = r - 1 - q. Suppose 4 + 13 = 4*c + t, 0 = -2*c + 5*t - 19. Calculate the remainder when r is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4 + 2 - 5. Suppose -2*f + f = -6. Let s(q) = -2*q + 7. Determine f*r(a) - s(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 t when four letters picked without replacement from tvtvttvtttvtvvttttv?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 15.051 and -3.93?\nAnswer: 18.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (-22 - (-4 - 10) - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -1\/4*h**4 - 150*h**2 + 10*h**3 + 1000*h + 74. Determine p so that o(p) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**2 + 6 + 4*k**2 - 4 + 16*k - 2*k**2.\nAnswer: 7*k**2 + 16*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1053\/4 + 11501\/44. Find the common denominator of (-67)\/2 - 9\/3 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 15 = -b. Let l = 9 + b. Suppose -5*k + 142 = -l*f - 13, -3*f = -k + 42. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**4 + 10*x**3 - 20*x**2 + 50*x - 45. Let c(b) = -b**3 + b**2 - b + 1. Let r(t) = -30*c(t) - l(t). Factor r(d).\nAnswer: -5*(d - 3)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/495 and -93\/50.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 12*c**2. Let q(r) = -18*r. Give q(o(m)).\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 42*i - 196. Let r be l(-7). Put r, 3, -58, -5 in increasing order.\nAnswer: -58, -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/6*-2*(-2)\/(-1). Let a = 75 + -373\/5. Let u = 11 - 51\/5. What is the nearest to a in u, -2, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**3 - 6*k**2 - 4*k - 20. Let d be m(6). Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2277428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 divided by -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m**2\/9 + 2136*m + 8442686\/9 = 0.\nAnswer: -6217\/5, -679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -108 - 542 - 68*i + 68*i - 4*i**2 in the form t*i**2 + v + z*i and give v.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11400 + -11401. Which is smaller: -1.893 or w?\nAnswer: -1.893","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 546904459.\nAnswer: 167, 1109, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 10*x - 1. Let s be 6*((-3)\/6 - -3). Suppose 2*v - 13 - s = 0. What is the remainder when u(4) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-12)\/10)\/((-8)\/(-4250)). Let y = 671 + d. Find the common denominator of -54\/7 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 12 - (-45 + 42)) + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 440.19 + -435. Let h = -5.2 + j. Which is the closest to 0?  (a) -2\/3  (b) h  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 6*a**2 + 693*a + 2998. Give k(-111).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 70.3058.\nAnswer: 35.1529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*u + 9293 + 78511. What are the prime factors of u?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 100010000010010?\nAnswer: 100010000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 + (-26)\/(-6))\/(2\/315)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3565331 (base 7) to base 13.\nAnswer: 12b411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 167883.0193 to the nearest 100.\nAnswer: 167900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 265*a**6 + 3146*a**5*l + 10500942*a**2*l wrt a.\nAnswer: 31800*a**3 + 188760*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-21)*u\/u**(20\/11)*u assuming u is positive.\nAnswer: u**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 54*k + 67*k - 163.\nAnswer: 121*k - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b - 0*b + 5*x - 36, 20 = 5*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2341 plus 1345278312?\nAnswer: 1345280653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 8) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6017, 24065, 54149, 96269, 150425, 216617, 294845?\nAnswer: 385109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 0*j - 5 - 4*j - 3 + 8*j**2 + 4. Let n(v) = -v**3 + 24*v**2 + 2*v - 45. Let f be n(24). Let z(r) = 7*r**2 - 3*r - 3. What is f*a(c) - 4*z(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 8*x + 910. What is i(6)?\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 7*y + 10. Let l be c(8). Let v(r) = 2 - l + 56*r - 7*r. Let j(b) = 9*b. Let u(q) = -28*j(q) + 5*v(q). Let k(h) = h. What is u(k(n))?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10152 - -504?\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1453 - 1456. What is the closest to -2 in 2\/7, 5, j, -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 6*l - 2*s - 4, -3*s - 27 = -4*l. Let v be 2 - l - 105\/(-35). Factor v*d**3 + 8\/5*d + 24\/5*d**2 + 0.\nAnswer: 2*d*(d + 2)*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*b - 3 = -5*s, 0 = -4*b + 2*s + 12. Solve -b*y + 0 = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/6*(-18)\/4. Let m = 5 - 5.3. Which is the biggest value?  (a) -5  (b) y  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**9*n)\/n**(-9))\/(((n*n**(-11))\/n)\/(n\/(n*n\/(n*n*n**(4\/3))))) assuming n is positive.\nAnswer: n**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + j)*(-11*j + 11*j - 3*j**3) + (j**3 + 0*j**3 - 6*j**3)*(j - j - j).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y**2 + y + 15. Let p(n) = -18*n**2 - 4*n - 44. What is 2*p(x) + 7*r(x)?\nAnswer: 6*x**2 - x + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/7*(-28)\/(-2). Suppose 0 = -3*z + l*d - 0 + 2, -5*z - 4*d = -14. Calculate the smallest common multiple of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 713710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 5*c - 3*m, 28*m = -c + 27*m - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 5*b**2 + 4*b - 4. Let h be g(5). Let l = 5 + h. Suppose 4*y - 5*k = 89, -2*y + 44 = -k - k. What is the highest common factor of l and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33 or 3656791?\nAnswer: 3656791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35789 and 87581?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 17*l**2 - 20*l + 52. Calculate c(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 8:48 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 52.42 times 0.0332\nAnswer: 1.740344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*k + 8*k + 10*k in the form h*k + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 35\/((-630)\/(-144)) + 0 + -3. Let q = 1 + 1. Let f = 4 - q. Solve u = -2*u + f*a - 1, 15 = 5*u + j*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (5 + -5)) + 1 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/65845 and -42.\nAnswer: 65845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**5\/4 + 15*w**4\/4 + 105*w**3\/4 - 215*w**2\/4 - 75*w = 0. What is w?\nAnswer: -4, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (5280\/18)\/10 - 2\/(-3) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 51. Let s be (i\/(-1))\/3 + -3. Let n(v) = -10 + s + 1. Let m(w) = 2*w - 1. Calculate m(r) + n(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44259\/4376 - 6\/547. Let t = 312519\/117610 - -2\/3095. What is the common denominator of t and x?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2114 - 42. Is 74 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/((-48)\/42))\/(0 - -1). Determine q so that v*q**5 + 0*q + 1\/2*q**2 + 3\/4*q**3 - 3*q**4 + 0 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-107)\/(-7))\/((-3960)\/(-693)) and 73\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000663651 to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 214*a**2 + 185*a + 91. What is the tens digit of g(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y + 0*y + 4*y)*(1 + 1 + 2).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3100?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26119.2 - 26119.200137427. What is d rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2. Let g(f) be the third derivative of -f**4\/6 - f**3\/2 + 1202*f**2. Calculate g(o(y)).\nAnswer: -4*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5467 divided by -77?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5170*z + 33225*z - 179559*z.\nAnswer: -151504*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6969 - 6967. Let n(f) = -2 + 4*f**2 - 1 + f - 3*f**2. Let b be n(v). Which is greater: b or -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -8 + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 12*l - 25. Let s be t(12). Let m(r) = r**2 + 22*r + 48. What are the prime factors of m(s)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (-16)\/((-4)\/(-1)) + 8. Let c(p) = 3*p**2 - 2*p. Let b be c(-2). Let a = 63 + -60. Solve 5*o - 4*o + t = h, -a*o - b = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/268 and 47\/40?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -59 + (157 - (131 - 12))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6704 and 40797192.\nAnswer: 81594384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -3*i - 5*t, -3 = 18*i - 17*i + t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 25, 11, -3, -11, -7, 15?\n\"Answer: o**3 - 6*o**2 - 3*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.36874  (b) -2  (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 23 = 5. Let q(f) = f**3 - 19*f**2 + 17*f + 22. Let y be q(r). Let h be ((-1)\/(-2))\/((-1)\/(-10)). Solve -n + h*i = -24, 0 = n + 3*n + y*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - 3*r + 4*r. Let y be (3\/6)\/(4\/48). Let u(m) = y*m - 10*m + m. What is u(v(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**2 + 1161*h + 102?\nAnswer: 4*h + 1161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 6. Let z = 39 + w. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 460385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-40) - (-18)\/10. Let q(u) = -9*u + 404. Let s be q(44). Suppose s*f = -m*f - 2100000. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + ((-2)\/(-2) - 1). Let i be k + 1 - (-2 - -8). Let q(a) = a**2 + 6*a. Let u be q(i). Solve u = -3*t - 1 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*u + 14, 6 = -v - 2*u + 17. What is the highest common factor of v and 630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (12 - 3 - -1) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d - 3. Let p be y(2). Let j = p - -9. Suppose m + j = 2*n - 94, 0 = 3*n - 4*m - 159. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (208\/(-130))\/((3\/5)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**2 - 12*h + 200. Calculate s(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 8 = 0, 0*i + 3*c = i - 7. Solve -z - 4*u + 2 = -i, -5*z = 3*u + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1098187308 and 6156.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4350388961 to the power of 1\/3, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -54*u - 26*u + 3280. Suppose -3*a + 93 = -5*c - 15, -c = -3. Calculate the greatest common factor of a and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 4*v + 2. Let h = 7 - 2. Let g = 9 - h. Let x be p(g). What is the highest common divisor of x and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 12:43 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - 3*m + 24. Suppose -5*s + 2 + m = 0. What is the least common multiple of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-1466947.\nAnswer: -1466947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -456*z = -457*z. Suppose -23*o - 1 - 114 = z. Which is the biggest value?  (a) 1\/7  (b) -0.1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 - -3) + 2\/2. What is the smallest common multiple of 10 + 0 + (h - 0) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 932 + -466. Suppose 0 = 3*p - x - 509. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 42441*w - 6 = 42445*w, 3*h - 3*w = 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1038, -1163, -1290, -1419, -1550, -1683, -1818?\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 6*d + 1. Let l be m(6). Let a(q) = -q + 2. Let g be a(l). Let i = 2 + g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 19*o**2 - 22*o + 23. Let y be a(-20). Suppose 2*g = -3*n + y - 6, -5*n - 57 = -3*g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*u + 3*f + 42 = -81*u, 4*u + 3*f - 42 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 93 - 28. Let r = 32 - 53. Let z = w - r. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15669.3415 to the nearest 10.\nAnswer: 15670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**2 + 0*i + 0*i)*(3*i + 91*i + 112*i).\nAnswer: -824*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/5*(-2200)\/(-3520) + 906\/(-48)*3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of i**4\/18 - i**3 - 10*i**2\/3 - 40*i - 56. Let h(f) be the first derivative of y(f). Factor h(q).\nAnswer: 2*(q - 10)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2856 + 7591. List the prime factors of w.\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.4, -60.6, 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 511923 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1417 is divided by 144.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7447 (base 11) in base 4?\nAnswer: 2121330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2611 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 740880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-15))\/((-3)\/270). Let w = z - 20. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**3*m**2*n**2 - 33*c**3*m**2*n + 3*c**3*m - c**3*n**2 - 11*c**3*n + 5*c**2*n**2 wrt m.\nAnswer: -4*c**3*n**2 - 66*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 176 divide 1166528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/7*(-3)\/(-2). Suppose 0 = -2*k + 8, p = -2*k + 5*k. Let c be (-1)\/(((-23)\/644)\/((-3)\/p)). Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12736 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(30) - sqrt(750)) + sqrt(30))\/sqrt(5))\/sqrt(3))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - ((-22 - -53) + -63).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 149902*c + 449704. Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 4*l**2 + 14*l + 6. Determine w(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/9, 86?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 89*a + 273. Calculate x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44119483 a multiple of 1680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.352455 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from {q: 9, e: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-179)\/537)\/(-1 - (-6)\/4). Which is bigger: -1\/11 or m?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1358*0.32.\nAnswer: 434.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 852589.1 millimeters to nanometers.\nAnswer: 852589100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 628.20796 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - x + 9, -x + 19 = 4*g. Let z be 10\/(-6) + (g - 2). Let o = 3.93 + -4.43. Which is the nearest to z?  (a) 1\/2  (b) o  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/10)\/((-3)\/(-15)). Let z be (-14)\/10 - j\/5. Suppose -m = -5*y + 4, 0*m - 4 = m. Sort z, y, -4.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 1\/2, -0.0302, 2\/15?\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from bbbbbbkbbbk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12004*z + 1 + 8709*z + 13576*z - 3229*z + 5450*z.\nAnswer: 36510*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 PM and 7:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + (sqrt(171) + 0)*-2 - sqrt(171)) + sqrt(171) + -1 + (0 + sqrt(171))**2 + (1*-1*sqrt(171) - sqrt(171)*-1*3)**2*4.\nAnswer: -3*sqrt(19) + 2906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 8*h**2 + 8*h + 14. Let c(f) = -1 + 1 - 3*f**2 - 3*f - 5. Suppose 0 = n - 0 + 14. Determine n*c(d) - 5*o(d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9432569 and 969.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4104199479?\nAnswer: 3, 151, 9060043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*u + 30*u = -112. Let h be ((-8)\/u + 34\/28)*30. Let j = -39 + h. Calculate the remainder when 21 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 0.4, -0.07291 in decreasing order.\nAnswer: 0.4, -0.07291, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 189098 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 418392 and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31248378 divided by -10416126?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*s + 10. Is (-1042)\/(-1 + 1 + s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 3*f = -2064, -2*p + 2*f + 196 = -628. Calculate the remainder when p is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {a: 4, f: 4, d: 1, p: 2, i: 6, e: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -241*o + 236*o + 23, -o + 2 = -2*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = i + 9, i + 3*i + 8 = -l. Let p be (-1 + 1)\/(3 + i). Let m = p - -1. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d - 10. Let w(z) = 4*z - 15. Determine 7*c(a) - 5*w(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 282195698*l**2*p**3 - 2*l**2*p - 49*l*p**2 - 15143*p wrt p.\nAnswer: 1693174188*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -38 + 2\/((-2)\/3). Let o = c - -253. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**4 + 0 + 0)*(-2 + 3 + 0)*(-577 - 5*m - 37 + 80).\nAnswer: -15*m**5 - 1602*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7963.\nAnswer: 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2102 + 101?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 79, 290, 815, 1810, 3431, 5834, 9175, 13610?\n\"Answer: 26*a**3 + a**2 + 26*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/1945549 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 5*f = 8. Suppose f*g - 255 = 1453. Is g + ((-51)\/15 - 8\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (378*f - 215*f - 204*f + 2 - 3*f**3)*(2 - 2 + f).\nAnswer: -3*f**4 - 41*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 2*y**2 - y - 2. Let v be j(-2). Suppose v = 5*l + l - 96. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160760?\nAnswer: 2, 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36480168 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -3*(0 + -4*((sqrt(425)*-1 - sqrt(425)) + sqrt(425) + sqrt(425)) + 1))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + x - 4. Let p be w(0). Let q = 7.3 - 1.8. Let n = -5 + q. Which is the third biggest value?  (a) p  (b) n  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f - 5. Suppose -2*s - s = -9. Is 2 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -2*l - 6, -2 = l + 1. What is the third biggest value in n, 3\/7, 0.5, 2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 101, 100, 99, 98, 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121020865.\nAnswer: 5, 7, 89, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-10) + 774\/(-90). Let x be 0\/(c\/3 - 1). Suppose -2*b + x*b = -76. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(432) + ((sqrt(432) + -4)*-6)**2 - sqrt(432))*-2 + (sqrt(432) + 4 + 4)*-6*-2.\nAnswer: -32160 + 7056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 186403 and 385691.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/14490 and -31\/210.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 6. Let m(g) = g**3 + 5*g**2 - g - 2. Let k be m(w). Find the second derivative of x - 3*x + x**k - 2*x**3 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5212 - 31273\/6. Which is the closest to h?  (a) -0.2  (b) 12  (c) -8  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 8427.612 minutes?\nAnswer: 505656720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4\/3 - 14530*j**3 - 29062*j**2 - 43594*j\/3.\nAnswer: 2*j*(j - 21797)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 534*v**3 + 9*v**2 + 11*v + 3. Let c be j(-1). Which is greater: c or -1063\/2?\nAnswer: -1063\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/22348 + 3475135\/156436. Let n = 159\/7 - t. Factor n*w**3 - 4 + 3\/2*w**2 - 3*w.\nAnswer: (w - 2)*(w + 1)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 - 3. Let b be 1 + -4 + -5 + 7 - x. What is the greatest common divisor of 416 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/10283 and -75\/11978.\nAnswer: 1089998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 655677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1.89*-18448\nAnswer: 34866.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 665 divide 3352265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 + 3*n - 4*n - n - n**3 + (0*n**2 + 2*n**2 + 0*n**2)*(-n - 2*n + n).\nAnswer: -5*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 (base 9) in base 2?\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s. Give c(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -13*x**4\/24 - 19*x**3\/3 - 16*x**2. What is the remainder when j(-7) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.60493g in milligrams?\nAnswer: 72604.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3887 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 687996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4387 is divided by 258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010010111100 (base 2) in base 4?\nAnswer: 1102330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -234425 - -4633?\nAnswer: -226462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 13968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 24 + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 127 - 124 = 128 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36634092 or -622779540\/17?\nAnswer: -36634092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 65*x**4 - 113220*x**3 - 5485935*x**2 + 4740370*x + 858720 = 0. What is x?\nAnswer: -48, -2\/13, 1, 1789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 140 + -88. What is the remainder when 79 is divided by (-78)\/g*(-2 + (-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1319 is divided by 433?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or 105419\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2\/11, 1, 30, 52, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -19, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -25964.44691 to the nearest one hundred.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/10)\/(((-91)\/35)\/(((-180)\/18)\/10))\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-52)\/(-6))\/((-2)\/(-6)). Suppose -4*r + q + 34 = 0. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/3)\/(-6)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9 - -8) + (-59543)\/10. Let x = y + 5950. Calculate the common denominator of -70\/9 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001074 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -9*a. Let v(s) = 2*s + 2. Let c(g) = -10*g - 6. Suppose 31*u - 9*u = -66. Let o(f) = u*v(f) - c(f). Calculate o(x(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 1098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10987501 to the power of 1\/2, to the nearest integer?\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*q**3 - 1 + (125 - 296 + 136)*((6*q - q - 4*q)*(10*q - 5*q**2 - 10*q) - 17*q**2 - 3*q**3 + 17*q**2))*(2 - 2*q - 2).\nAnswer: -556*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/(-30) + (3 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and (1\/(-3))\/((-4)\/36).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -222 - 82 - 49*m + 304 - 6*m - 44*m**2 to the form a*m**2 + r*m + n and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 129900 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 s, and 1 d when four letters picked without replacement from wwwdsswxassmmwwmwm?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3479820, 3479819, 3479812, 3479799, 3479780?\n\"Answer: -3*a**2 + 8*a + 3479815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -3  (c) 0.3  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 9*o + 9. Let x(l) = -l - 13. Let z be x(-6). Let b be q(z). What are the prime factors of 30*2*b\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9580.581 nanoseconds in microseconds?\nAnswer: 9.580581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 668, 719, 804, 923?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r**2 - 13*r + 122. Let u(i) = i**2 - 5*i + 65. Let k(q) = 5*u(q) - 3*y(q). What is k(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/5)*p**8*(p**(-2\/7))**(1\/5)*(p**2)**47*(p*p*p**(-5\/2))\/(p**(-4)\/p) assuming p is positive.\nAnswer: p**(7493\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 12*t**2 + 11*t - 74. Let j be a(-10). What is the derivative of j*o**3 - 15*o**4 - 4*o**4 - 45 + 15*o**4 + 20*o**3 wrt o?\nAnswer: -16*o**3 + 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 19 - 185 = 0. Suppose 10*b - v = 149. Solve 3*z = -5 + b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/340 and (-11)\/14960*5*4832\/120.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2595008, -0.3, -4\/5, -0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71652, 71644, 71624, 71586, 71524, 71432, 71304, 71134?\nAnswer: 70916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/16385 - -2277503\/98310. What is the common denominator of h and -17\/858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2055)\/(-570) + (-320)\/3040.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wkkw when four letters picked without replacement from {w: 2, k: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r + 122. Let d(m) be the first derivative of 0*m + 59 + 1\/3*m**3 + 0*m**2. Determine b(d(f)).\nAnswer: -f**2 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 238 and -0.058?\nAnswer: 238.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/g**(-5)*g**(9\/5))**(2\/69))**(-11\/6) assuming g is positive.\nAnswer: g**(-539\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 1143?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 6*o**2 + o - 7. Determine w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 3:26 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 9*d**2 + d + 10. Suppose 4*q + 36 = 72. Let x be t(q). Solve 2*o = -r - 4*r + 16, 5*o - x = -2*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13968*o - 223477. Determine b(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 6. Let o = b - -5. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 8:46 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -11\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (195951 - 1)*(-5 - 3). Round t to the nearest 10000.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 70*i**2 - 151*i + 1029. Give v(68).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.25961234 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -110 * -0.153\nAnswer: 16.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 150\/(9 + -34) - 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5773 and 12746533?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*y = -33*y + 12. Is 9 a factor of (10\/y)\/((-13)\/3510)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1617.4 + 1879. Let q = -262 + o. Let v = 0.4 - 0.1. Which is the third smallest value?  (a) q  (b) v  (c) -1  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1404\/2 - ((-81)\/(-9) - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = x + w, 2*x - 3*w = -2*x + 41. Let y = 14 - x. Solve p + y*p + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-38)\/(-90) + (-4)\/18. Which is the nearest to 3?  (a) -3\/7  (b) n  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.029 - 0.751. Let b = n - -0.88. What is the nearest to -2\/7 in -1\/3, b, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-14)\/98)\/(316\/1659))\/6.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 386 = -50. Let p = b + -32. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 113 * 0.2.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a + 73*a + 39*a + 29*a + 50*a.\nAnswer: 186*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4249, -1\/3, 2, -36\/5?\nAnswer: -4249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -2\/17, 31, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 509 and 1240433?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n**2 + 1029*n + 9489. Calculate h(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 41.432?  (a) 4  (b) -2\/23  (c) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 2:42 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-152)\/120 + 2\/10)\/((-18)\/108)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -277\/27 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 5*w + y, w + 3 + 6 = -4*y. Let q(f) = f**3 - 5*f**2 - f - 1. Let a be q(w). Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 11:20 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3731 = -17*d + 4276. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*z - 29*z - 1 - 11*z + (z - 2*z - z)*(-3 + 4 + 1) - 2*z - 4 + 4 as j + o*z and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + -53 + 46 + 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 83*s - 23*s - 417. Solve -54 = 46*w - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11222102 (base 4) to base 9\nAnswer: 34722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + r**2 + 4*r**2)*(r**2 + 2 + 16*r - 16*r).\nAnswer: 7*r**4 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 470064733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6966 times 40.41\nAnswer: -281496.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3279 + -3283. What is the nearest to -1 in -2\/11, 2\/9, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 4:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 24*u - 20*u - 695, 4*t = -3*u + 515. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n + 2. Let f(p) = 2*p**2 + 10*p + 10. Let t(c) = -f(c) + 5*u(c). Let w(d) = 1683*d**2. Determine t(w(b)).\nAnswer: -5664978*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of h**5\/120 + h**4\/4 - 4*h**3\/3 - h**2\/2 + 25*h - 1. Let b(t) be the second derivative of c(t). Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 576666 and 165695364?\nAnswer: 497086092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16801*l - 12398 wrt l?\nAnswer: 16801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1144224967 to five dps.\nAnswer: 0.11442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 104 and 1689142.\nAnswer: 6756568","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 109, 1077, 2797, 5263, 8469?\n\"Answer: -o**3 + 382*o**2 - 171*o - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 361 - c + 455 - 4*c - 5*c**3 + 342 - 202 wrt c.\nAnswer: -15*c**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 4 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 528090457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(392)\/(sqrt(42)\/sqrt(6)))\/(sqrt(288)*1).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.3634 centuries in decades?\nAnswer: 293.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 3*q - 12. Let j be i(-3). Find the common denominator of ((-68)\/j)\/((-5)\/3) and -3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i - 2*i + 0*i)*(-i + 2*i + 2*i + (-3 + 0 + 2)*(-4 + 4 + 2*i)) + (3 - 3 - i)*(-2 + 2 + i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1573 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.24 + -54.76. Let s = -58 - m. Which is greater: s or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a + 27. Let q be b(-9). Suppose 4*j = -q + 8. Suppose 2*d - 3*i = 1 + 15, -3*d + j = i. Solve 5*g - 4*w = d*g - 2, -3*g = -5*w + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 5*u + 43, 45 = -5*h - 2*u - 17. Suppose -3*a + 10 = 2*a. Let w be a\/h + (-55)\/(-6). Solve -w = 4*b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -1. Let z = -2385 + 2381. Which is the fourth smallest value?  (a) t  (b) 2\/7  (c) 7  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 75  (b) 5  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52237077602 = -164*t - 10446597602. What is t rounded to the nearest 1000000?\nAnswer: 255000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1556001 is divided by 765.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is da387 (base 14) in base 2?\nAnswer: 10000000110011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**2 + 20*d - 14. Let n be j(9). Suppose -n*y - 321 = -5*m - 7*y, 0 = m - y - 69. Calculate the highest common factor of 110 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 375*v**4 - 525*v**3 - 180*v**2 + 528*v - 192 = 0. What is v?\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-0.095\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 79000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 813.77 + -810. Let t = 3.74 - a. What is the second smallest value in 1, t, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 1645*a - 1650*a = -15, 12 = -3*l + 4*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 99 + -101. Let m be (-6)\/4*o*440\/60. Solve m = 5*r - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 281549227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k + 1\/120*k**6 + 0 + 0*k**3 + 3\/2*k**2 + 0*k**4 - 1\/60*k**5. Let b(u) be the first derivative of r(u). Factor b(z).\nAnswer: z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v - 6*v - 4. Let h be (-2*1\/v)\/((-5)\/(-15)). What is the remainder when (h - 30\/(-8))\/(1\/40) is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 2*r - 48. Let t(a) = 2*a + 68. Let j be t(-22). Let w be 6\/j*-4*2\/1. Sort w, r, -3 in descending order.\nAnswer: w, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140990 - -0.4.\nAnswer: -140989.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 11.595.\nAnswer: -2, 1, 11.595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6799994 + 7 - (-1 + 2). Round v to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 12*c**2 + 14*c + 14. Let x be s(-13). Find the first derivative of x - 3*m**3 - 5*m**3 - m**3 wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 135057*c**4 + 135107*c**2?\nAnswer: 3241368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s - 161 - 1135 = 0. Does 9 divide (s\/(-4) - 1)*264\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(12\/(-96) + 1999\/(-8)). What is the hundreds digit of 100\/a - (-3983)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 minus -2522?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.08 + 0.08. Which is the smallest value?  (a) w  (b) 1\/6  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) -2  (b) 8\/65  (c) -4  (d) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -26*k + 36*k - 190, -2*z - 57 = -3*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 600, 2399, 5398, 9597?\nAnswer: 14996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.50069 rounded to three decimal places?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.14 - -0.14. Let z = -1.57 - -1.07. Which is the third smallest value?  (a) z  (b) h  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 - 76*r + 417. Calculate m(70).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219*l + 1229168 = -997624. Calculate the highest common divisor of l and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.48 + 0.47. Let z = t + 0.01. Let v = 0 - -0.1. Which is the nearest to z?  (a) -4  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*i**3*s + 2235*i**3 - 39*i**2*s + 2*i*s - 15*i - 758*s + 2 wrt i.\nAnswer: 18*i*s + 13410*i - 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -77431, -154863, -232295, -309727, -387159?\n\"Answer: -77432*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 87*a**4 - 208*a**4 + 18*a + 99*a**4 - 17*a - 2*a**3 - 7 to d*a**2 + t*a + g + l*a**4 + u*a**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from pgoofffffofg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1199.7 - -1202.7. Which is the closest to 1?  (a) f  (b) 12  (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/4*(0 + 2 + -2). Let u be 0\/(0 + (j - (0 - -2))). Let w = 1.5 + 4.5. Is u smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4323 a factor of 39412791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1278.3 + 1278.2. What is the closest to j in 11, -5, 17\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4893565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 28 = 4*c, c + 0*c = -3*u + 7. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 5:22 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-4 + -2 - -16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 7*g**2 - 3*g - 9. Let r be f(-4). Let j = -49 - r. Is 5753\/11 - j\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11266 - 11261. Let w = -1.96 + -0.04. Let x = 1.1 + -1. What is the second smallest value in x, w, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 2 - 3)*(2 + b**2 - 2) + (b**2 - b**2 + 2*b**2)*(-2 + 2 - 2) - 6*b**2 + 2*b**2 + 2*b**2)*(-2 + 4 - 3) in the form o + w*b**2 + g*b and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*a = -24*a + 13170. Let p = a + 558. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, 6, 28 in increasing order.\nAnswer: -47, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2505*u**2 - 2510*u**2 - 12 + 12.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2. Let o = -82 - -84. Let w(q) = 1 - 1 + 9*q**2 - 42*q**2 + 3*q**o. Calculate f(w(d)).\nAnswer: -2700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 5*z**2 - 4*z. Let g(j) = -11*j**2 + 9*j. Let u(a) = 4*g(a) + 9*n(a). Let q(w) = -w. What is u(q(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21\/89 in -2\/7, -0.4, -1\/4, 1.09, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, j: 4, u: 1, v: 3, f: 2, o: 1}. What is prob of picking 1 v, 1 o, and 1 w?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/304 and 1*1\/5*((-4564)\/456 + 4).\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 7. Let x be s(-7). Suppose -2*h + x = 5*g - 4*g, g = -5*h + 146. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -11640*m + 34937. What is x(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -156 + 1402\/9. Suppose 4*k = 3*k. Suppose 85*s - 92*s + 14 = 0. What is the second smallest value in k, s, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzzszzz. What is prob of sequence zsz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (97 - 93)*((-1)\/1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 80 + -146. Let t be ((-5)\/2)\/((-11)\/v). Let m = t + 17. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2106 - 3262 - 16*m + 116*m**4 + 13*m - 6034 with respect to m.\nAnswer: 464*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) 7\/1180  (c) 0.01  (d) 73\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.13 at most as big as 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 272*a**4 + a**2 + 5*a + 8424?\nAnswer: 1088*a**3 + 2*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5666957, 11333856, 17000755, 22667654?\nAnswer: 28334553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 79341332 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2126433, 2126432, 2126431, 2126430, 2126429, 2126428?\n\"Answer: -k + 2126434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (424*l + 529761 - 529761)*(2*l - l + 2*l + (-1 + 6 - 3)*(l + 0*l + 0*l) - 3*l + 1 - 1)*(0 - 1 - 1).\nAnswer: -1696*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 12*f**2 + 8*f - 15. Let y be n(-11). Does 5 divide y*3*(-3)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(11) + (sqrt(275) - (1 + sqrt(275) - sqrt(275)))).\nAnswer: -18*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/4 + (-84)\/(-16). Suppose 0 = k*m - 9*m + 56. Let l = 15 - m. Which is smaller: l or 6\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 1672*z - 1667*z + 114 = 0, 12*z + 352 = -o + 2*o - 14*z - 219 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1091, 1112, 1131, 1148, 1163?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 101\/4. Let x = 4.4 - 4.6. Which is the second smallest value?  (a) x  (b) -2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -330, 0.2, -1.13, 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1320*h - 3952*h + 1314*h + 1312*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 1:37 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7443 and -8?\nAnswer: 59544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -240\/13*p**2 - 166\/13*p + 8\/13*p**4 - 28\/13 - 94\/13*p**3 = 0.\nAnswer: -1, -1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-4))\/((-39)\/(-104)). Sort a, 4, -5 in decreasing order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*-2 + -2*sqrt(8)*-2)\/((1*sqrt(80)\/sqrt(4))\/sqrt(5)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1164.874 rounded to zero decimal places?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1044 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/187 and 163\/9*24\/(-16)*47\/3995?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbq when four letters picked without replacement from {b: 3, z: 2, q: 6, l: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112210211111 (base 4) to base 13.\nAnswer: -12c22bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 825873 is divided by 24287?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1087627, 3\/4, 3 in descending order.\nAnswer: 1087627, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76051 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 7*o**2 - 10*o + 6. Let v(q) = -14*q + 36. Let n be v(2). Give t(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*f - 60*f + 8 = 0. Let i be (-22)\/(-8) - (-1)\/f. Suppose -i*r = -3*z - 93, 2*z = -r - 15 + 55. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 8:00 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 26764290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*z**2 + z - 27*z**2 - 2*z.\nAnswer: -48*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 4*y**2 + 74*y + 51. Calculate c(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4 = 0, -2*y + 37 = 4*n + 5. Suppose -2*u - l + 0 = -18, u + 5*l - n = 0. What is the units digit of 106\/u - (-2)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 + -71.\nAnswer: -70.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 11:02 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.842 - -0.442. Put 5, u, 4 in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5886 and 1744.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/156*(-60)\/(-50)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23630 is divided by 1573?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -11*r**3 - 12*r**2 - r. Suppose -2*i = 2 - 30. Suppose i*u = 20*u - 30. Let n(h) = 6*h**3 + 6*h**2. Let c(w) = u*n(w) + 2*b(w). Factor c(g).\nAnswer: 2*g*(g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -18, -2\/21, -1654?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58 - 2293. Let v be (-3 + 2)\/(3\/b). Round v to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.716598 kilograms to milligrams.\nAnswer: 3716598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 0 - (-13 - -12). Solve -3*h = -k - x*h, 0 = -5*k + 3*h - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -g - 3*c + 1, 3*g + 2*c = -8. What is the nearest to 1 in -3, g, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*d = -4*v + 22*d - 51, -4*v = d + 63. Let n be (22\/(-5) + 4)\/(6\/v). Which is smaller: 4\/95 or n?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 3290250541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 11 = 5*i + 9, -2*z = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 13.1  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2476 + 10275. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, m: 3, d: 4, k: 1, a: 3, b: 4}. Give prob of sequence dm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5900*f*r - 14*f + 793*r**2 - 250430 wrt r.\nAnswer: -5900*f + 1586*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n**(-3\/10)*n)*n)\/(n*n\/n**(-2)*n))\/(n*(n*n*n*n**(-2\/9)*n*n*n)\/n*(n\/(n\/(n*n*n**(-2\/3))))\/n) assuming n is positive.\nAnswer: n**(-973\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.523 * -0.016.\nAnswer: -0.008368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence too when three letters picked without replacement from ftwwotxtooowofottool.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29 and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -23  (b) 1\/5  (c) -4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/21 and 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 414212254 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 383 - 377. Let d(k) = 3*k - 20. Determine d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-104)\/6)\/((-1)\/969231). Let n = -260310 + 5671934. Suppose -v = 3*i + g, -i - 188364 - n = -3*g. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-4))\/(1\/4). Suppose 10 = -w*z + 54. Let x = z + -1. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1037*s + 1087*s = 20304500000. What is s rounded to the nearest one million?\nAnswer: 406000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + o + 7 = p, -4*p = -2*o - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 4*s, -5*s + 10*s = 2*h. Let t be 0 - h - 1*9000. What is t rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.042 + 2.042. Sort -59\/5, -0.5, f, -1 in ascending order.\nAnswer: -59\/5, f, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from puwuahgp. What is prob of sequence ug?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10117*j + 1330 = 10176*j + 7997 for j.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 769293 and 189.\nAnswer: 2307879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8416887 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**5\/3 + 266*b**4\/3 - 4556*b**3\/3 - 196808*b**2\/3 - 109376*b + 491904 = 0.\nAnswer: -18, -4, 2, 42, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*n**3 - 372*n**3 + 88*n**3 + 91*n**3 + 89*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 225028 and 5212406?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2404 (base 12) in base 4?\nAnswer: 333010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-27 - 4) - (1965 + -1929)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12485, -25155, -37825, -50495, -63165?\n\"Answer: -12670*v + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*a + 3*l - 534, 6938*l = 4*a + 6939*l - 31 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (2 + -3 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 260 and 17976790?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31332 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (6 + -11 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -314.13 + 285. Let g = -29 - j. Let s = g + 0.07. Which is the closest to 2?  (a) -2  (b) s  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 8 = -4*y, -14 = -y - 3*f - 2. Suppose 0 = -y*o + o, -3*g + 2*o = -15. Solve 3 = -g*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - 1 - (-84)\/2. Let x = -14 + q. Suppose 5*v - 3 = -2*c - 8, -10 = 2*v. What is the remainder when x is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -41083*m + 103096?\nAnswer: -41083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 969448331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*v + 21*v + 17*v)*(-3*v - 1 + 1)*(-3 - 3 + 8).\nAnswer: -186*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yfyyyyyy. Give prob of picking 3 y and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k + 4*k**2 - 3*k + 4*k**2 - 29*k.\nAnswer: 8*k**2 - 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3704)\/(-10)*(-15)\/(-6). Let x = f - -1503. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of 79*t**6\/3 + t**5\/20 + t**4\/12 + 3532*t**2 - 2*t + 385. Find the first derivative of j(k) wrt k.\nAnswer: 3160*k**3 + 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 6*j**2 + 6. Let w be u(6). Suppose w*m - 4*m - 10 = 0. Suppose -17 = -m*a - 2. Solve -a + 8 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - -2. Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 463*u + 288. Is d(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3985697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**3\/3 - y. Suppose 3*f + 3*g - 36 = 0, 4*f - 3*f + 5*g - 28 = 0. Let u(t) = -f*t + t + 10*t. Calculate u(j(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*i - 2*i = 13, 0 = -3*o + 4*i + 91. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 6:55 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99431, 99420, 99403, 99380, 99351?\nAnswer: 99316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -449*u**6\/2 - 2*u**5\/5 - 7013*u**2 + 8582. Find the second derivative of w(l) wrt l.\nAnswer: -26940*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l - 13. Let g be 15\/((-4)\/((-16)\/6)). What is the units digit of b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-12)\/(19200\/(-5968)) - 4 and 37\/2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.60158 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7332066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -2 + -5 + -25.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 173867213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + m + 8, 5*m + 1 = -v - 1. Does 31 divide 31\/(5\/2 + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -19*v - 1. Let g be k(-5). Let q = 94 - g. Is -6\/37 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-82 - -81)\/((-7*4\/(-2296))\/(3\/6))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 - 32. Is y greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 66\/14 - 2\/(-7). Suppose 3*z - 2*q - 54 = 0, 0*z = 3*z - g*q - 45. Suppose 2*y + 2*w = z, y - 4*w - 32 = -3*y. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p + 10. Let b be k(8). Put b, 0.07, -2\/9, 2\/7 in ascending order.\nAnswer: -2\/9, 0.07, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-8))\/(-1 + 5\/6). Suppose 0 = 9*g - 12 - 15. What is the common denominator of 67\/26 and s + 83*g\/(-12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - y**2 - y. Let b(c) = -2*c**3 + 2*c**2 + c + 1. Let x(h) = -3*b(h) - 6*v(h). Calculate the least common multiple of x(1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 367, -6, 14, -5, -1, 2 in ascending order.\nAnswer: -6, -5, -1, 2, 14, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 75731054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 789.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - u**3 - u**4 - 11*u + 6517*u**2 - 6520*u**2 + u - 18*u to the form b*u + j + z*u**3 + t*u**2 + y*u**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5*-77\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 68484999 and 6225909?\nAnswer: 68484999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 3 - (0 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5682.36 and -1.44.\nAnswer: -8182.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.39 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - -7241 - (35\/5 + -2). Suppose p - 2395 = -3*z, 64*p - 4*z - j = 61*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 34 - 36. Let b be 0 + -1*2 - -1. Put -3, x, b in decreasing order.\nAnswer: x, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -79*a**2. Let u(p) = 12*p**2 + 133*p - 132. Calculate u(x(s)).\nAnswer: 74892*s**4 - 10507*s**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aehh when four letters picked without replacement from heehhhheeaahehhehae.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 2. Let p be 4 + -2*(-3)\/u. Find the third derivative of -3*w**p - 3*w**5 + 0*w**2 + 2*w**5 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/12 + (-35)\/(-21). Solve 5*x = -p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 812 + -797. Calculate the remainder when 42 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2889*r**2 - 1118*r**2 - 2917*r**3 - 1535*r**2 wrt r.\nAnswer: -17502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 6*c + 96 = 0. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*c**2 + 2*c**2 - c**2)*(-c + 0*c + 2*c) - 1 - 2*c**3 + 1 + 0 + 0 - 9*c**3)*(-9*c + 10*c + 15*c) - 4*c**4 - c**4 + 2*c**4.\nAnswer: -163*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 2  (b) 0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1647.\nAnswer: 1\/1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1984528 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-30777)\/24)\/(14\/(-112)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -109004 from 5249.37.\nAnswer: 114253.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 41100\/32461?\nAnswer: 41100\/32461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8199 + -0.97.\nAnswer: 8198.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*b + 17*b - 5*b**3 + 4*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 15176 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1118385 and 463?\nAnswer: 1117922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 413\/155 + -13\/5. Suppose 400 = 6*f + 520. Are w and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 4  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 170 - 200. What is the tens digit of (-1)\/6 - 9905\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31416 divided by 28\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = -5*j + 3*l + 102, j = 2*l + 23. Let f be (3 - j\/3) + 3. What are the prime factors of 40 + 0\/(f + -2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*u - 3*u - 2*u)*(3 - 1 + 0)*((-1 + 1 - 2)*(-2 - 1 + 4) + 3 - 4 + 0 + (-2 - 1 + 2)*(-3 + 4 - 3) + 1 + 0 - 3 - 5 - 1 + 3) to x + a*u and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1894469 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 24, 31, 42, 57, 76, 99, 126?\n\"Answer: 2*t**2 + t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1760534178 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/14)\/3*679\/582?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j + 3 - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 10*h - 9459 = -12*h, 4*h = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*h + 47*h + 423 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4990*c + 2 + 4942*c - 10151*c.\nAnswer: -219*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.143 and -907117.\nAnswer: -907116.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 50*y**3 + 92*y**2 + 5*y - 25. Let m be p(5). Calculate the greatest common divisor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4738 and 824.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 2104970.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 n when three letters picked without replacement from {m: 1, p: 1, g: 1, n: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 956?\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*d - 2*b, -3*d - b = 2*b + 12. What are the prime factors of (-2)\/6*-45*d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 615310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 3*g - 10*g)*(-2*g**2 + 4*g**2 + 2*g**2)*(4 - 19 - 21).\nAnswer: 1584*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -2.04790114.\nAnswer: 10.2395057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**3 - 195*j**2 + 707*j + 2. Let x be a(-101). Factor 0 - 5\/2*u**x - 3\/2*u + 1\/2*u**4 - 1\/2*u**3.\nAnswer: u*(u - 3)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -8*u**4 + 3*u**3 + 3. Let v(q) = -9*q**4 + 4*q**3 + 3. Let a(j) = -4*l(j) + 3*v(j). Differentiate a(n) wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*7\/(-14) - -19 - 6. Solve -122*o + p = -125*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5385 + -5385. Solve 12*f - 10*f - 2*q = 8, 4*q + 16 = c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-237*i**3 + 523*i**3 - 868*i**3)*(-5 - 4 + 5) to the form k*i**3 + n + t*i**2 + j*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 18*x + 26. Let s be d(-1). Suppose -2*g - 45 = -281. Calculate the remainder when g is divided by -9 + s + (30 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 312188*l**2 - 7*l + 2. Let s(r) = -2*r. What is x(s(b))?\nAnswer: 1248752*b**2 + 14*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17736 is divided by 103.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/95, -5, -3?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q + 31 = -24. Put q, 6, -3 in decreasing order.\nAnswer: 6, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1765\/26 or 68?\nAnswer: 1765\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8949504 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8\/5*q**2 - 116\/5 + 236\/5*q = 0.\nAnswer: 1\/2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -14*h + 5. Let g(k) = -6*k + 4. Let i(m) = -3*m + 2. Determine h*i(t) + 3*g(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**2 + t**4 - 6041*t + 2 + 6041*t in the form q*t + l*t**4 + z*t**2 + u*t**3 + g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -v + 5*k, -2*v + 0*k = -4*k - 30. Let g = v - 2. Calculate the highest common factor of 136 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9a02 (base 13) in base 12?\nAnswer: -10509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120 (base 3) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/4)\/(-2*3\/252). Let p(c) = -13*c**5 + 3*c**4 - 4*c**3 - 7. Let q(o) = -2*o**5 - 1. Let z(n) = d*q(n) - 3*p(n). Solve z(t) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n - 30*n**2 - 5 + 177*n**2 + 0*n + 181*n**2 - 2*n in the form y*n + d*n**2 + g and give d.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1166)\/(-55))\/(32\/(-20)))\/(-3*(-2)\/24).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6603.5 - -6604. Which is the closest to 1\/4?  (a) m  (b) -4  (c) 46  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/1999 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = -4*c + 8 + 7, 2*c + 5*x = 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 89455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 + 49.996. Let o = -0.116 + n. Which is the biggest value?  (a) o  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 148 and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 4*w - 3230004, -2*w = 2*u + 2*u - 12920002. What is u rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8545590*q**3 - 5*q**2 - 561830635 wrt q?\nAnswer: -25636770*q**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 10101010?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 6 - 3 = -5*f, -2*f + 4*y = 2. Put -2, f, 3 in decreasing order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/7)\/w)\/(w*w**(-6))*(w*w\/(w\/w**(-1\/3)))**(-7))**(-18) assuming w is positive.\nAnswer: w**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1, -15, -45, -95, -171, -279?\n\"Answer: -r**3 - r**2 - 6*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -393*b**3*n**3 + 56*b**3*n**2 wrt n.\nAnswer: -2358*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*r + 102 = -87*r. Solve 2 = l - r*w + 15, -9 = -2*l - w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -75867 + 3*u**2 + 75867. Let b(d) = 1128*d**2 - 1. Calculate v(b(f)).\nAnswer: 3817152*f**4 - 6768*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3139506 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4680.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5\/2 + 2)*-26. Let i = -58 - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.77 - 0.23. Let o = 219 - 228. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 3) + 3 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*l - 31620 = -2385*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*h = 12*h + 41 + 17. Let j(m) be the first derivative of -1\/21*m**3 - 1\/7*m + 29 + 1\/7*m**h. Let j(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 2*s**2 - 24*s. Give w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*-1*sqrt(75)*-4)**2.\nAnswer: 4798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.085*0.5.\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 74892*m**3\/7 + 1087645140*m**2 - 481868325*m\/7 + 7624500\/7 = 0.\nAnswer: -101660, 5\/158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209865378.\nAnswer: 2, 3, 34977563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -n**7\/112 + 3*n**6\/8 - 57*n**5\/20 - 593*n**4\/16 + 153*n**3\/16 + 867*n**2\/4 - 25*n. Determine r, given that j(r) = 0.\nAnswer: -4, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54985551 less than -197101.9?\nAnswer: -55182652.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j**2 + 2*j - 39. Determine x(6).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 16 = -5*z. Let l(i) = -8*i**3 - 2*i**2 - 8*i + 7. Let y(d) = 7*d**3 + 2*d**2 + 7*d - 6. Let p(a) = z*l(a) - 7*y(a). Factor p(r).\nAnswer: -r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - 2*g**3 - g**2\/2 - 8*g + 2. Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 33\/2*b**2 - 3\/2*b**3 - 27*b + 0 = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 13 = -2*x, i = -3*i + 2*x + 22. Let m be 6 - 4\/(4\/2). Solve m*p + i*l - 5 = 0, 5*l = -0*p - 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 58*s - 3147. Let k be z(92). Sort 2, k, -12.\nAnswer: k, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -w**4\/4 - w**2\/2 + 31*w + 1. Let m be x(0). Suppose -8 = -3*o + m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52150180 minus 308.69?\nAnswer: -52150488.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-153)*-3)\/((-15)\/((-2040)\/32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 + 17056 - 17056.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -7d67?\nAnswer: 7d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.055 + 26.055. Let g = d - 24. Let l(w) = -w**2 - 4*w + 7. Let y be l(-6). Which is the third biggest value?  (a) y  (b) -3\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 334629 to the power of 1\/2, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2268) + 2*sqrt(2268))\/sqrt(9) - ((-3*sqrt(42))\/sqrt(6) + 0).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 24 + 5818188*q + 5818193*q - 11636380*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-27)\/(-126))\/((-3)\/4). Is s bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 9:49 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3592 and 53329526?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -29*d**3 - 26*d**2 - 11*d - 30. Let o(k) = -11*k**3 - 9*k**2 - 4*k - 10. Let i(u) = 8*o(u) - 3*x(u). What is i(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, j: 4, u: 6}. What is prob of picking 2 v and 2 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1454, 2521, 3588, 4655, 5722, 6789?\nAnswer: 7856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 150 divided by 50\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - q - 3. Let j(s) = -s - 2. Suppose -1 = l, i = -l - 0 - 3. Determine i*m(z) + 3*j(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -13*l**2\/4 - 636*l + 196 = 0. Calculate l.\nAnswer: -196, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -517, -1087, -1713, -2395, -3133?\nAnswer: -3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 806 and 1560819.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 134 - 135. Suppose 7 = 2*r - 1. Suppose 0 = 2*l + 5*n + 37, -l - n - 31 = 4*n. Sort l, r, x.\nAnswer: l, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119878, 239760, 359638, 479512, 599382, 719248?\nAnswer: 839110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*v**2 - 519800*v**3 + 31*v**2 + 37*v**2.\nAnswer: -519800*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/8 and 57\/633367?\nAnswer: 5066936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 326 a factor of 1770137620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 200, -9, 0, 4 in descending order.\nAnswer: 200, 4, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -1)*72\/(-90)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 95*s**2 + 10740*s + 565.\nAnswer: 5*(s + 113)*(19*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 74 = 306. Suppose 0 = 5*r - 7*r + j. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3095849459 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 12*s**2 - 10*s + 2. Let z be w(-11). Let a = z - -11. Suppose -3*q - 24 = -4*q - 4*r, -a*r = -10. Solve -q*g - 6 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 + 3*f + 3. Let q = -5 - 3. What is the remainder when 28\/q*(-4)\/7 is divided by a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -13*c**4\/2 - 106*c**2 - 85*c + 140. Let u(n) be the first derivative of d(n). Find the first derivative of u(f) wrt f.\nAnswer: -156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 6*i - 4. Let o be d(-5). Let z(r) = -r. Let q(w) = 2*w + 11. Let y(f) = o*q(f) + 3*z(f). Is y(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(76) + -1) - (sqrt(76) + (sqrt(76) + 2)*4))**2.\nAnswer: 168*sqrt(19) + 2785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 651.37455s in hours?\nAnswer: 0.180937375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -753*g**2 - 15 - 27 + 46 to the form d*g**2 + c + p*g and give d.\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -14516*v + 20. Let r be p(-1). Suppose 31*q - r = 8*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 4*a - 155. What is j(41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*v - 110*v = 792 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 u when three letters picked without replacement from uuuulele.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 39, 29, 17, 3, -13, -31, -51?\n\"Answer: -k**2 - 7*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10120201202210 (base 3) in base 4?\nAnswer: 13100311230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 5)*(-i + 2*i**2 + i) + 2*i**2 - 6*i**2 + 2*i**2 + (-3 + 2 - 1)*(3*i**2 + 2*i**2 - 2*i**2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c + 44. Let p be i(10). Suppose -16 = -3*a + 7*d - 2*d, p = 3*a - 4*d. Let s(m) = 0 - 5*m - 26*m**2 + 2 + m + 34*m**2. What is s(a)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1534 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of 3*h**2\/2 - 19*h - 258. Determine y(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -5*u**4\/2 - 395*u**3\/2 + 135095*u**2 + 16137600*u - 49623120 = 0?\nAnswer: -164, 3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3963156 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 653597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 46 - (1 - 1)\/(-4). Is 15\/2*l\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/1133 and -38\/1325095.\nAnswer: 14576045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 - 13*k. Let l(a) = 2*a**2 + 13*a. Let j(h) = -4*d(h) - 3*l(h). Find the second derivative of j(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -6*o**3 + 2*o**2 - 5*o + 3. Suppose -2*i - 5*u = -21, 7*i - 11*i = -2*u + 18. Let h(z) = 5*z**3 - z**2 + 4*z - 2. Calculate i*y(m) - 3*h(m).\nAnswer: -3*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 4:27 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z**3 + 8149*z + 8042*z - 16191*z + 0*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -20367215, -20367213, -20367211?\n\"Answer: 2*g - 20367217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2*4\/(-8))\/1. Let s be (-170)\/(-8) - k\/(-4). Calculate the remainder when (-172)\/(-6) - (-28)\/s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38218873 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 = 6133*n - 6138*n - r, 18 = -n - r for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -554439310 rounded to the nearest 1000000?\nAnswer: -554000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-15)\/162)\/(16\/(-24)). Let v(i) be the second derivative of 4*i - x*i**4 - 1\/6*i**2 + 0 - 1\/3*i**3. Suppose v(d) = 0. What is d?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68022, -136050, -204090, -272148, -340230?\nAnswer: -408342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -290860.1?\nAnswer: -290864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10037 and -0.04.\nAnswer: 401.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 57\/(-4))\/(46 - 42427\/924).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 10 = -h, 5*j - 4 = 2*h + 9. Suppose -4*d - 2*m = -4 - 4, 4*m + 4 = 2*d. Suppose d*a - j = 5. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - 6*w + 3. Suppose 3*r - 20 = -7*r. Suppose -a + 4*h - 2*h - 22 = 0, -a - 34 = r*h. Let o = a + 22. Determine i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 6*h**2 - 6*h + 9. Let x be q(-7). Let t(f) = x*f + 3428 + 31*f**2 - 3428. Let k(o) = -2*o. What is t(k(n))?\nAnswer: 124*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, k: 5, l: 2}. What is prob of picking 2 l and 1 g?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**2)**19)**(-1\/12))**48 assuming l is positive.\nAnswer: l**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**3 - 298960*a**2 - 1793823*a + 8072082 = 0.\nAnswer: -9, 3, 298966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 3*i + 1506 = -0*i, 0 = -n + 4*i + 492. Suppose -12*t = -n - 388. Suppose 4*c = 94 + t. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 1, 1\/3, -6, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0435?  (a) 5\/4  (b) 3  (c) 1\/4  (d) -0.2  (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55.6 - 55378821.\nAnswer: -55378876.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/1159 - 88069\/5795. Let z = 151\/10 + r. Which is the closest to 1\/4?  (a) z  (b) 1\/3  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 118 = 2. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*(j\/(j*j**(8\/11)\/j))\/j)\/j*j**(-4\/13)*(j\/(j**(-3\/8)\/j*j))**9 assuming j is positive.\nAnswer: j**(14117\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62079105.948 + -0.01014.\nAnswer: -62079105.95814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 13 = -4*x. Suppose -x*z - 204 = -3*z. Suppose 1138 = 2*f + z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-2))\/(1958\/(-23496)*(-72)\/219).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7140 by -595.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 1\/529016  (b) -0.2  (c) -5  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2301223323 (base 4) to base 13\nAnswer: -1c636b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*k - 6*k + 8 - 3*k + 8*k - 5*k as b*k + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*g + 33*g - 194*g - 3 + 55*g + 26*g.\nAnswer: -64*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + f = -220. Calculate the highest common factor of 418 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (55 - 36 - 29) + 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 63115737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -12 + 3*c + 13 + 4*c + 0*c. Suppose -n = 4*n - 5. Let z be o(n). What is the highest common factor of z and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or -132.013654?\nAnswer: -132.013654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 358893367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 2605?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -11, 3, -590 in ascending order.\nAnswer: -590, -11, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0301427 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -99*c**2 - 9120*c - 1106. Give h(-92).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 - -3.9. Let z = y + -5.1. Let g = 4 - 9. Which is the nearest to z?  (a) -1  (b) 3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3206475 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.3406 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 189896340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.3 - -4.3. Which is the second smallest value?  (a) 0.5  (b) -0.05  (c) r  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-41846)\/(-48020) - (-1 + 22\/14)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-32)\/(-12)*(-9)\/(-4). Let f be (-4)\/1*(3 + (-13)\/4). Let y(n) = f - n**3 - 3 - n - 1 + 4. Let x(o) = -8*o**3 - 6*o + 6. Calculate b*y(s) - x(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2766184564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26430036 divided by 6.\nAnswer: -4405006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 61820379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y + 148 + 140. Calculate the remainder when 609 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**2\/7 - 6362*f\/7 - 1181664\/7 = 0. What is f?\nAnswer: -176, 3357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 965.224l?\nAnswer: 965224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 134306813 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 23*j**2 - 36*j + 64. What is t(25)?\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23 - -39. What is the highest common factor of g and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27464 + 27464. Solve -5458*o + 5470*o + 108 = x for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70618 and 5797?\nAnswer: 776798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ibabbniiwwbb. Give prob of sequence naw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 0)*(-15)\/(-6). Suppose 0 = v - j + 9. Let x be (v\/(-6))\/((-2)\/(-30)). Calculate the highest common divisor of 70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-16) + 11822\/1104 and 77\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121 - ((11 - -2 - 14) + (-58 - -68))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3 - 122*g - 893*g - 2075*g**2 - 1234*g + 3 wrt g.\nAnswer: -4150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 591\/(-10)*(-15)\/18. Let o = -49 + t. Let r = 2 - 5. Sort 5, r, o in increasing order.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4965.705 millilitres?\nAnswer: 4.965705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 59 + -57. Let k(v) = -25*v - 3*v**2 + 25*v + 2*v**n. What is k(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a**1*a)*a)\/a**(-2))\/(a**0*a*a*a*a**(2\/9))*(a**1)**(-2\/119)\/(a**(-1\/2))**30 assuming a is positive.\nAnswer: a**(15809\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*i - 112 + 24. Solve -2*h - i*a + 0*a = 10, -h + 2*a = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.08 + 1.08. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 51.13852 years?\nAnswer: 0.5113852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -52*h**7\/105 - h**5\/30 - 73*h**4\/6 + h**3\/6 + 1816*h**2. Find the second derivative of a(x) wrt x.\nAnswer: -1248*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*a + 239*a - 77 = 313 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 77.\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 5*z**3\/2 - 524*z. Let s(n) = 15*n**2. What is s(u(h))?\nAnswer: 3375*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**18*b)\/(b*b**2))\/(b\/(b\/(b\/b**(-2\/25))*b)*b**(-4\/3)) assuming b is positive.\nAnswer: b**(1294\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24269*z + 24371*z + 10404 = 0 for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 4*v - 7. Let r(k) = -59*k - 5 - 64*k + 120*k + k**2. Suppose 2*l - 1 = 3. Suppose l*i = -0*i - 10. Determine i*b(m) + 7*r(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2318795\/9 >= -257643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1148*z - 5042. Determine x(-4).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-396)\/(-14) + (32\/56)\/(-2). Let g be (-8)\/f - 1390\/35. Put 1, 4, -3, g in descending order.\nAnswer: 4, 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -11. Suppose 2*a - 4*a + 4*p = 0, -4*a - p = 0. Put 5, s, a in descending order.\nAnswer: 5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 9*v**2 + 9*v - 5. Let j be x(8). Solve j*c = -4*f + 9, -4*f - 4*c = c - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37387360.15 rounded to the nearest one million?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mjbp when four letters picked without replacement from {b: 1, m: 1, j: 2, p: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from rhrrrrrrrhr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*p + 10 = -63*p. Let h be (4\/(-16))\/(-1*(1 + p)). Let f = 39 + -38.8. What is the closest to h in 0.6, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 198, 344, 490, 636?\n\"Answer: 146*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 5*a**2 + 14.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 88087872, 88087878, 88087888, 88087902?\n\"Answer: 2*p**2 + 88087870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.35 - 0.1. Let v = -0.05 + m. Put -0.5, v, -5 in descending order.\nAnswer: v, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/15*6\/28. Is h greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -9450, 2, -2\/3, 6, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*m + 62 - 62)*(0 + 0 + 1)*(1 - 2 + 2) + (m + 4*m - 3*m)*(0 + 1 + 1).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jfhh when four letters picked without replacement from {f: 1, j: 11, h: 8}.\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14909771 is divided by 104?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 5*g - 6. Let i = g - -2. Solve i = -3*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**2 - 2*k**2 - k**2 + 3*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y. Suppose 1 = s - 1. Let t(v) = v + 5 - s - 3. Calculate i(t(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -211284 divided by 1\nAnswer: -211284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 155789 and 25125.4767.\nAnswer: 180914.4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-97)\/((-33077)\/(-102)) - (-20)\/55.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -16. Let b(v) = 2*v**2 - 2*v - 7. Let q(n) = -n - 1. Let r(h) = b(h) - 6*q(h). Let o be r(-3). Solve o*m - z + 10 = 2*z, l = m - 3*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p - 7*p + 3*p)*(52 - 22 - 12) + (24 - 19 - 58)*(0*p + p - 2*p) to the form q*p + l and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 6*c**2 + 13*c**2 + 0*c + 2*c**4 + 2 - 4 - 2*c**3 to g*c + x*c**4 + d + w*c**3 + n*c**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4031327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13475 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*z - 19*z - 15*z - 10*z + 63*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 156*c**2 + 1480*c - 4. Let q be r(-11). Calculate the greatest common divisor of 384 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1011311014?\nAnswer: 2, 7, 72236501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 95 = -105. Let b be 4\/14 - 38\/(-14). Suppose 4*v + 3*h - b = 5, -h - 29 = -g*v. Solve 5*n = 2*o + 13, 0 = v*o - 3*n + n + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - 56?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -103836 times -0.22\nAnswer: 22843.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 343 + -183. Let z = r + -160.0335. Let h = -0.04 - z. Round h to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -211, -516, -1301, -2794, -5223, -8816?\n\"Answer: -38*r**3 - 12*r**2 - 3*r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -p*q**4 - 43*p*q**2 + p*q - 55*p - 14343079*q**4 - q**2 - 25*q + 3 wrt q?\nAnswer: -24*p*q - 344233896*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = c - 0. Let b be 2\/(-20) + 2\/c. Factor -2\/5*y - 2\/5 + b*y**3 + 2\/5*y**2.\nAnswer: 2*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, b: 3}. Give prob of sequence llbb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 8:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 277 - 232. What is the third biggest value in -2, v, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*n**2 + 104*n - 104*n + (3 + 2 - 1)*(-n - 2*n**2 + n) in the form l*n**2 + p*n + d and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7676278ug to milligrams.\nAnswer: 0.0007676278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6381, 12570, 18587, 24444, 30153, 35726, 41175?\n\"Answer: 2*u**3 - 98*u**2 + 6469*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000115982498 to 6 decimal places.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 262050077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8446546.\nAnswer: 2, 181, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) -0.06482  (b) -0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/222*3)\/((3\/(-5))\/(2106\/(-3510)))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2, -4431\/2 in decreasing order.\nAnswer: 2, -9, -4431\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -9*z**3 + 3*z**2 + 3*z + 3. Let o = 30552 - 30553. Give x(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 + 8*s**2 - 13*s + 6. Let k be o(5). Suppose k*x - 13*x = 1773. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 3)*(-111531*z - 951*z**2 - 1506*z**2 - 131*z**2 + 111530*z).\nAnswer: 2588*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 24. Suppose 5 = 3*x - 4. Suppose 0 = 2*b + 4*v - 16, x*b - 14 = -4*v + 6. What is the remainder when w is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57206648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 101459803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + 0. Suppose 0 = w*x - 3*x - 81. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of j**3\/7 + 2886*j**2\/7 + 2776332*j\/7 - 3020. Solve b(f) = 0.\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 383957, 384239, 384519, 384797?\n\"Answer: -a**2 + 285*a + 383673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4940346 + -459.1\nAnswer: 4939886.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2303320 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/sqrt(6) - (sqrt(7) + -1 + sqrt(7)*-2)) + -3.\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -75213.9 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16228\/75285 - 50\/239. Let v = 596\/5355 + r. Let w = 1 - 1. Which is the nearest to w?  (a) v  (b) 4\/5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 4*w + 1. Let g be m(4). Let s = 0.1207 - 0.1207. Let t = -0.1 - -0.5. Which is the second biggest value?  (a) s  (b) g  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -165, -322, -481, -642, -805, -970?\n\"Answer: -o**2 - 154*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-31477.26.\nAnswer: 31477.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -11002 (base 4) to base 2\nAnswer: -101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-26)*(1216\/48)\/(-19)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1648\/10543 - -2\/811. Let g(i) = i**2 - 23*i - 92. Let h be g(27). What is the closest to h in 1, a, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1388 - -1388. Let s(q) be the third derivative of 1\/10*q**5 + 1\/6*q**4 - 19*q**2 + 1\/9*q**3 + 0 + u*q. Find i such that s(i) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/17, 200, 2, 12.45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/140 + -4471\/1260. Let d = 111 - 67. Find the common denominator of d and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67824 and 1656.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 83593.075055 plus -4.6?\nAnswer: 83588.475055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8))\/(((-65)\/(-12))\/(-13))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/4 and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6872291812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r = -11*r - 10. Suppose -2*x = -x + 1. Let q = x + 4. Solve -q*l = -2*l - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*-1)*5 + sqrt(70) + sqrt(70))\/(sqrt(10) + -1*sqrt(10)*-3)*1 + (-5*(1 + -1*sqrt(252)) + 3)**2.\nAnswer: -465*sqrt(7)\/4 + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6433, -18536, -51397, -115396, -220913, -378328?\n\"Answer: -1730*i**3 + i**2 + 4*i - 4708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*s - 12 + 2 = 0, -2*d + 2*s = 10. Put d, -5, 1 in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 8*v**2 + 13*v - 10. What is o(10)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(-1\/5)*o)*o)**(12\/11))**(-41\/2)*((o*o\/((o\/o**(-4))\/o))\/o*o**(2\/19))**(2\/115) assuming o is positive.\nAnswer: o**(-646222\/24035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfmfged. What is prob of picking 1 j, 1 f, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (-6 - -4)) + -6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -279.1065 rounded to 0 decimal places?\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14208\/1104 - 168\/(-1288).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -80 divided by 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*t**2 + 12*t**2 + 11*t**2)*(22 - 13 + 5) + (-2 + 2 + 2)*(0*t - 11*t + 2*t)*(2 - 2 - 2*t) to x*t**2 + o*t + n and give x.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.3, -145, 1\/5, -63?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63) + 2 + 4 + (sqrt(63) - (sqrt(126)\/(sqrt(2) - -3*sqrt(2)) - sqrt(63))))*-5*3)**2*5.\nAnswer: 111375*sqrt(7) + 9223875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from nknnnnnkkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35436 (base 14) to base 5.\nAnswer: -13123200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 6*w + 0 + 2 - 1 - 7*w**2 + w**3. Suppose 7 = -2*q + 19. Calculate g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/42 and -24\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92372 or 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3310, 34900, 87548, 161254, 256018, 371840, 508720?\n\"Answer: 10529*p**2 + 3*p - 7222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 491812237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -15*(5\/(-15))\/1. Let f be -3 + 1*4 + -2. Let r = 0 + 0. Sort r, f, c in ascending order.\nAnswer: f, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - 0 - (-59 + 58). Let l(f) = -2 - 7 - 4*f + 3 + a + 6*f. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2185303 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uzudduuududkfduzu. What is prob of picking 1 d, 1 u, and 1 f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, a: 3, v: 1, y: 4}. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.0250794 years?\nAnswer: 0.000250794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-185)\/(-35) - (-6)\/(-21). Solve -j - 2*j - 3 = 4*x, -c*j - 5 = -x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.365 and 77.\nAnswer: -28.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 600 and 18\/(-10)*40*((-477)\/(-54) - 9)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 7076 = -1103. Is z - 5\/((-5)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**2 + 4*u. Let y(s) = -3 + 4*s**2 + 3 - 9*s. Let k(w) = w + 0*w + 6*w**3 - 7*w**3 + 0 - 9 + 12*w**2. Let j be k(12). Determine j*y(h) + 7*x(h).\nAnswer: -2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((2 + sqrt(832))*-5 + (sqrt(832) + -2)**2*5).\nAnswer: -400*sqrt(13) + 8340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1826*f*v**2 + 712*f*v + 2*v**2 - v wrt v.\nAnswer: -3652*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*l*t**4 - 9*l*t**3 - 3*l*t + 85156*t**4 + 16048*t**2 - 257*t wrt t?\nAnswer: 120*l*t - 54*l + 2043744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3786, -15227, -34334, -61107, -95546, -137651?\nAnswer: -187422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 11*v**2 - 4*v - 3. Let c be q(-2). Suppose 21 + c = 5*d. Suppose 319 = 158*n - 313. What is the smallest common multiple of d and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147148.2 litres in millilitres?\nAnswer: 147148200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2479083 at most as big as -2479080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2244.6 - -88.\nAnswer: -2156.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-19)*(((-96720)\/3185)\/62)\/((-8)\/14)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -250253138*v**4 + v**2 + v - 217674?\nAnswer: -6006075312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of -b**5\/30 + 9*b**2 + 10. Let x(t) be the second derivative of v(t). Let q(r) = -3 - 10*r + 3. Determine q(x(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x**2 - 165*x + 162*x + x**2.\nAnswer: -3*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/4)\/(2\/16*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -8*g**3\/3 - 6*g + 7. Differentiate n(q) with respect to q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8.1668 and 0.018.\nAnswer: 8.1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-116 - -116)\/((9 + 41)\/10). Find l such that -18\/5*l**3 - 14\/5*l**2 - 2\/5*l**5 + 4*l + o + 14\/5*l**4 = 0.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 43384 and 48807?\nAnswer: 390456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**5\/3 + 64*q**4\/3 - 232*q**3 - 886*q**2\/3 + 36505*q\/3 - 36750 = 0. Calculate q.\nAnswer: -7, 5, 7, 9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252 = -237*y + 219*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/39 and -41\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -35*q + 169. What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 981 + 116. Let h = 227.319458 + -1324.324188. Let n = d + h. Round n to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 7*u - 35. Suppose -2*j = f - 4 - 5, -j - 3*f + u = 0. Suppose -k = 2*t + 3, -2 = 2*k + j*t - 2*t. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33 by -33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4992\/60 + -72)*(-50)\/(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10515*k**2 + 14786*k**2 + 7169*k**2.\nAnswer: 32470*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7713735 (base 8) to base 5.\nAnswer: -1012223433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + i - 2. Let v(z) = -2*z**2 - z + 1895. Give -f(p) - v(p).\nAnswer: p**2 - 1893","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*z + 3 = 16*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1088*n**4 + 534*n**2 + 2 wrt n?\nAnswer: 26112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4389?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 616*w + 26. Let f(b) = 123*b + 5. Let c(m) = -11*f(m) + 2*h(m). Let d be c(-3). Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -4*m. Let g be w(-3). Solve 4*p + 32 - g = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {y: 2, k: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 3. Let j = t + 14. Suppose -j = -2*i + 2*r, -2*r - 8 = 5*i + 2. Solve -4 + i = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 2726*t = 2731*t + 7, -4*a - 5*t - 3 = 2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -0.4  (b) -10  (c) 3  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/(-3))\/4*-6. Suppose o*z - 6 = 2*m, 3*z + 5*m = 1 - 3. Solve -3*i + z - 2 = -5*n, i - n = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*g**3*u**3*v**4 - 26*g**3*u**3*v + g*v**2 + 13*u**3*v**3 - u*v wrt v?\nAnswer: 192*g**3*u**3*v + 78*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60272 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -22*n**7\/35 - n**6\/120 - 167*n**5\/10 - 228*n**2 + 3. Find the third derivative of m(g) wrt g.\nAnswer: -3168*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2901432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 + -109. Let w = -38 - v. Suppose -9*l = -5*l - w. Calculate the least common multiple of 9 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*n + 4, -s + 4*n = 4*s - 20. Suppose -4*d + 5*k = -0*d, d - s*k + 11 = 0. Factor 5*b + 6*b**2 - 5*b**3 - 11*b**2 + d*b.\nAnswer: -5*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**3 - 30580*f**2 - 183265*f + 213850.\nAnswer: -5*(f - 1)*(f + 7)*(f + 6110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -z**2\/2 - 6. Let a(t) = 7*t**2 + 2*t - 2. Let g(k) = -119*k**2 - 35*k + 35. Let r(j) = 35*a(j) + 2*g(j). Give r(h(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -1208*z - 56250. Give t(-47).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/25 less than -452934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7200)*-2 + sqrt(50) + sqrt(1250)*1)\/(sqrt(70)\/(sqrt(7) + sqrt(3136)\/sqrt(7))))**2 + 4.\nAnswer: 131224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112112111111211101 + 21?\nAnswer: 112112111111211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 less than -8.36?\nAnswer: -7.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - -480242?\nAnswer: 480246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -404 times 0.28126?\nAnswer: -113.62904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2793) - sqrt(2793)*-3)\/sqrt(3).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5989 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.11, -16\/21, -0.1, -1, -0.4, -0.092?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(19) + ((sqrt(38)*2)\/sqrt(2))**2 + (sqrt(2299)*1*5)**2 + (sqrt(304) + -1)*1 + (1*sqrt(931) + sqrt(931) + -4)**2.\nAnswer: -107*sqrt(19) + 61286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.83*-0.12.\nAnswer: -0.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 7*r + 12 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5b01a (base 16) in base 11?\nAnswer: -235075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, b: 4, j: 2, f: 2}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166532 is divided by 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 3*r + 0*r - r + 0*r + 7*r in the form d*r + g and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - x**2 - x**2)*(5*x**2 - 3*x**2 - 4*x**2)*(-5 + 4 + 5).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gwbhtghshtt. Give prob of sequence wb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.5, 5.689, 2486?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*m - 7*m + 48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/64 + (150\/(-8))\/(-3). Sort 0, 27, s, 5 in increasing order.\nAnswer: 0, 5, s, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 580 and 3248?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 - 2*o. Let w be k(5). Let f(g) = 2*g**2 + 11*g - 6. Let d = 26 - 38. Let u be f(d). Calculate the highest common factor of u and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390\/(-45)*(-45)\/(-30)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) 3.22  (c) -14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 2852670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3233 or 48529?\nAnswer: 48529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 3 - (-12)\/(-8). Sort 14, 4\/5, o, -2.\nAnswer: -2, o, 4\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.57?  (a) -2\/3  (b) 3\/7  (c) -1  (d) 14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -3\/792272?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20.35 - -20. Let i = n - 3.35. Let u = i + 1.7. Which is the closest to u?  (a) -1  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((7400\/(-30))\/37)\/((275\/90)\/(-11))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -21*x**2. Let o(y) = y**2. Determine s(o(m)).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7*r + 10*r - 6 + 6*r - r**2. Let n be v(7). Let z = -6 + n. Solve -2*p - z = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -20 + u**3 - 2*u**4 - 2*u**4 + 19 as l*u + h + q*u**3 + x*u**4 + w*u**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26009 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 6:29 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 970053 and 14.\nAnswer: 1940106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -416*z**2. Let w(n) be the second derivative of n**3\/6 - 605*n + 2. What is j(w(t))?\nAnswer: -416*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1569*o + 253*o + 139200 = -1857*o - 5021*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l - 15. Let m(o) = -o + 8. Let b be (2 - (-32)\/6)\/(36\/(-54)). What is b*m(a) - 6*j(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-45) - (24\/(-9) + 2). Does 3 divide (3705\/38)\/(v\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(1\/8 - (1209\/104 + -13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, -1\/6, -0.1 in descending order.\nAnswer: -0.1, -1\/6, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1225 + -870. Let i = 465 - n. What is the remainder when i is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.2 + 39.2. Which is the nearest to -0.07?  (a) -6  (b) z  (c) -1\/2  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y - 48. Calculate x(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -64*c. Let t(n) = -n**2 - 98. Give r(t(d)).\nAnswer: 64*d**2 + 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from rbrbbrbbbbbrbb?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.1077 + -0.1077. Which is the closest to 1?  (a) -1  (b) p  (c) -0.5  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 1 + 5 = 0. Let i be -2 + 9 + z\/1. Suppose -3*n + 30 = 2*n. Solve 0 = -i*u + 31 - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 66863085?\nAnswer: -2005892.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y + 5*y + 4*v - 2918 = 0, -4*y - 5*v + 853 = 0. Let s = 80 - 57. Calculate the greatest common factor of y and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1567\/4 + -11125\/28. Let x = -71\/14 - t. Factor 1\/2*g - 1\/2 + 1\/2*g**2 - x*g**3.\nAnswer: -(g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/132209 and -35\/9.\nAnswer: 1189881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**3 - 2*a**3 - 8*a**3 + (-2*a + a + 0*a)*(-2*a + 3*a**2 + 2*a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 18*p - 7518. Determine x(-78).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -4*n + 1, 0 = n + 3*y + y + 3. What is the hundreds digit of ((-1)\/n)\/(8\/(-1328)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wyiiiiiiiniwwwniiiw. Give prob of picking 4 i.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 2*1*sqrt(13)*-6 + (-5*sqrt(208) - (sqrt(117)*-2)\/sqrt(9)))*1 + 2)**2*3.\nAnswer: 540*sqrt(13) + 35127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 4*d - 1. Let y(m) = -m**2 + 5*m + 8. Let t be y(6). Let w(o) = -8*o - t*o + 3 - 3*o. Let g = 2 + -9. Give g*k(j) - 2*w(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 2*q + 373. Let t(c) be the second derivative of c**5\/20 - c**4\/6 - 2*c**3\/3 + 3*c**2\/2 - 11*c. Let u be t(3). Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p - 10. Let z(h) = -h**2 + 16*h + 5. Let x be z(16). Suppose 8*t = x*t. Suppose t = 2*l - 4*l - 16. Give b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -820*z**2 - 720*z**2 - 4*z - 7 + 1548*z**2. Let x(g) = -2*g**2 - 5*g**2 - 4*g + 6 + 7*g. Suppose -2*i = -7 - 5. Calculate i*x(d) + 5*v(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28045.4 * 0.09\nAnswer: 2524.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-4\/5))\/s**(1\/7))**(-16\/7)\/(s**(-2\/11)*s*s**(2\/15)\/s*s*s**(2\/9)\/(s\/s**(-1\/12)*s)) assuming s is positive.\nAnswer: s**(-279239\/97020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (3\/6*-3)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -505 + 6?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 308533.606 + -6.\nAnswer: 308527.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -6. Let o = 27 - i. Let n(p) = -p**3 - 21*p**2 - 4*p - 81. Let x be n(-21). Solve -5*g + 1 - 2 = 2*m, 5*m + x*g = -o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**3\/6 - 6*v + 57. Let x(g) = -g - 1. Calculate -5*p(n) + x(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 58207 and 2457.\nAnswer: 60664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2304179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 567.\nAnswer: -5\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16216999?\nAnswer: 31, 523129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i - 3*i + 2*i + 1. Let s be ((-36)\/(-30))\/(108\/(-360)). Let x(j) = 5*j + 3. Determine s*x(o) + 11*h(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*f**2 + 605 = 0. What is f?\nAnswer: -11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-3))\/(1\/(-12)). Suppose -c + 2 = -0*c - p, 8 = c - r*p. Suppose -5*f = -4*m + 9 + 27, c = -5*m - 4*f + 45. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 6 = 24. Let x = 198 - 88. Calculate the highest common factor of x and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 69*y - 405. What is o(12)?\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*(d\/d**5)\/d*d*(d**(-1\/7)*d)\/d*d*d*((d*d\/(d**(-1\/10)\/d)*d)\/d)\/d*d**2 assuming d is positive.\nAnswer: d**(207\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**4*w**(2\/5))\/(w\/((w\/(w*w**6*w))\/w)*(w**(-7)\/w)\/w))\/(w**(-1\/10)*w**(-1\/2))**(-21\/5) assuming w is positive.\nAnswer: w**(47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875388693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 37332 divided by 3111?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 0. Let v = -3552 + 10654\/3. What is the nearest to -0.2 in -3, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10110 by -5.\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2765\/158*8\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*b = 3*s - 42, -3*s - 6*b + 63 = 0. Sort s, -0.3, -98, 0.1, 1 in ascending order.\nAnswer: -98, -0.3, 0.1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -3. Suppose t*s - 56 = -14. Calculate the remainder when (10\/3)\/(7\/s) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(27) + -2*sqrt(3888))\/(sqrt(9) - sqrt(9)*1*-4))**2 - (6*sqrt(45)\/sqrt(3))\/(sqrt(5) - sqrt(45)\/sqrt(36)).\nAnswer: -12*sqrt(3) + 1587\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2. Let f(m) = -1064*m**2 + 534*m**2 + 559*m**2. What is n(f(r))?\nAnswer: 1682*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b**4 + 4*b**4 + 5*b**4 + (-2*b**2 - 1 + 1)*(-6*b**2 + 2*b**2 + 0*b**2) in the form g*b**2 + s + i*b**3 + c*b**4 + u*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-86)\/(-12) - ((-31)\/(-6) - 5). Suppose 45 - 17 = u*f. Let i be (0\/4 - -4) + -2. Solve 2 = -i*v + f*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 - 39.64. Let d = -0.36 + c. What is the smallest value in -2\/5, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-14))\/(13\/(-312)*-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10983, -11139, -11363, -11631, -11919, -12203, -12459?\nAnswer: -12663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*h + j - 20, h + 5*j = -12. Let l = h - 4. Suppose -y = l*y - 15. Which is the biggest value?  (a) y  (b) 4\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7062 and 717666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-28)\/154 + (-70)\/(-22). Suppose -2*g + 117 + j = 0. Let u = g + -37. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14127381*m**4 + 35*m**2 - 134*m - 244?\nAnswer: -339057144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-4 - (-152)\/36). What is the highest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -t - 2*y, 0 = -5*t + 3*y + 1 - 20. Which is the nearest to t?  (a) -2  (b) 1\/4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -11, 17, -68, 0.\nAnswer: -68, -11, -4, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6 - 0.3. Suppose 9 + 9 = -u - 4*h, -u = -4*h - 22. Suppose -4*z + u = -2. What is the smallest value in g, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**2 + 3 + 0*c - 2\/3*c**3. What is the second derivative of k(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42138764 by -10.\nAnswer: -21069382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 251 + 77. Let a = i + 256. Is (1 - (-15)\/4)*(a - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96679741 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (4 + 17 - 19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-3*sqrt(242).\nAnswer: -198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -483 and -1.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**3 - z**3 - z**4 + (-z**3 - z**2 + z**2)*(-2*z - 2*z + 2*z) - 22*z**2 - 2*z**4 - 8*z**2 + 5*z**2.\nAnswer: -z**4 - 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (52\/91)\/((-4)\/(-14)). Let k(b) = o*b**2 + 5*b**2 - b**2. Let z(s) = 4*s - 3. Let q(l) = 3*l - 2. Let c(v) = 3*q(v) - 2*z(v). What is k(c(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 28*g**2 + 333*g + 13. Let h be i(-9). Let o be (0 - -6)*(-2)\/(-2). Solve o*d = h - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 14*j**2 + 3*j + 13. Let n be w(14). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 37443 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 139489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by -26.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3560 - -3520 - (0 + 1 + (5 - 8)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (1 - -2) + 9 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = -4*s + x + 88, -2*s = 5*x - 8. Which is smaller: 4\/255 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10*(12\/5 + 19 + -17). Solve -b*s + 12 = -40*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5.2454 and -0.4.\nAnswer: 2.09816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37 + 43 - 902*v + 3405 + 3620 - 3254*v wrt v?\nAnswer: -4156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9*(-12)\/(-10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 8 = 2*o, -a + 3*o + 9 - 1 = 0. Suppose 0 = -2*n - 5*h + 87, a*n - h - 144 + 39 = 0. Let x = n - 32. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-27))\/((-6)\/27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q - 26 = 3*w - 351, 0 = 5*q - 5*w - 45. Solve 14*c - q*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**3 + 4*x**5 + 3*x**3 + (3*x**4 - 3*x**4 + x**4)*(2*x + x - x) + (2*x**2 + x - x)*(-3*x**3 + 6*x**3 + x**3).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-1))\/(((-66)\/6)\/(-11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 9*h**3 + h**2 + 12*h + 1. Suppose 6*y - 8 - 28 = 0. Is s(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-60*61\/732)\/((-1)\/(21\/3))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155541 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + sqrt(320)*-2))**2 - (-4*sqrt(320)*-1 + sqrt(320))*-1.\nAnswer: -472*sqrt(5) + 20496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, m: 1, u: 2}. What is prob of sequence uuy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 11*y**2 - 12*y - 8. Let i be n(-10). Suppose 7*k - i = 5*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23*o**2 + 9\/2*o**4 + 9\/2 - 1\/2*o**5 - 15*o**3 - 33\/2*o.\nAnswer: -(o - 3)**2*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22 in 3, -1\/9, 672?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r**2 + 544*r - 2878. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than 0.00676?\nAnswer: -1.99324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 15278*q**2 - q - 20. Let r be t(12). What is r rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.2 - 0.2. Let q be (-12)\/(-9) - (-6)\/9. Let k be (-4)\/(-10) - q\/(-20). Which is the closest to x?  (a) 1\/8  (b) -2\/17  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147086717 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-220)\/154*-14*32\/(-64).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 110 and 495.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -13*k**2 + 765*k. Let s(b) = 32*b**2 - 1908*b. Let o(y) = -12*m(y) - 5*s(y). Solve o(i) = 0.\nAnswer: 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 502 - 17 = 0. Let q = 1898 + r. Is q + -17 - (-1 + (-3 - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17.34 + 17. Let t = 0.06 - s. Let n = 1\/81 + -247\/324. Sort t, 1\/3, n in ascending order.\nAnswer: n, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/9*(-6)\/4. Let q = -6 - -7. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(2\/9)*(k\/(k*((k*k**(3\/4))\/k)\/k))\/k)\/(k**4*k\/((k*k**8)\/k*k*k)*k)*(k\/(k\/k**(-1\/3)*k))**(-1\/6)*k**(-5)*k*k*k\/(k\/k**(-6)) assuming k is positive.\nAnswer: k**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -822.\nAnswer: -2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142153, -284296, -426439, -568582?\nAnswer: -710725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.4 + -1.6. Which is the third biggest value?  (a) 0.4  (b) 0.1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1343332825.\nAnswer: 5, 23, 101, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15579 + -77899\/5. What is the second smallest value in 3, r, 7.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 86*s**3 - 86*s**3 + 12*s**2 - 95*s**4 + 33*s**4 wrt s?\nAnswer: -1488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 56328*j**2 - 23*j + 34. Let f be a(14). What is f rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 2254 = 5*f + 2273, 0 = -409*b - f - 5877 + 970 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 16*i**2 - 3*i + 4. Determine y(16).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11003430 - -3?\nAnswer: 11003433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**5\/190 - t**4\/57 + t**3\/57 + 16*t. Suppose w(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -s**4 - 10161*s**3 + 2156340*s**2 - 4272028*s = 0.\nAnswer: -10369, 0, 2, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 8:23 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 236518048 less than -0.47?\nAnswer: -236518048.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -326, -1231, -2740, -4853, -7570, -10891?\n\"Answer: -302*a**2 + a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 105da7 (base 15) to base 10\nAnswer: 779332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/5?  (a) -0.5  (b) -174  (c) -13  (d) 0.5  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 0)\/(2\/34). Let s = 11 + i. List the prime factors of (-25)\/10*s\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 26 = i - 2*f, -27 = -i - 3*f. Let o be (-81)\/(-2)*i\/9. Let s = -35 + o. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(176))*-2 + 1*(sqrt(176) + 2))**2.\nAnswer: -64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 s when four letters picked without replacement from {s: 2, p: 6, a: 10, i: 2}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.5, 5, -4, -5\/2, -0.1, -348623?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12*(6\/(-4) + 2). Let h = v - 3. Let z be (8 - 0)*h\/(-6). What is the closest to -2 in z, 4\/3, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - g = -9, 5*g = 3*c - 4 + 3. Suppose 3*n - c*n + 3 = 0. Let w be 1\/n*(4 + -3). Which is smaller: -0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -656.3 + 656. Let j = 5.99 + -1.04. Let z = j + -5. What is the third biggest value in -2, f, 0.5, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00151200731 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 3273922019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 9*p. Let k(a) = 5*a**2 + 22*a. Let t(i) = -i**2 - 4*i. Let d(z) = 2*k(z) + 11*t(z). Calculate o(d(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 30633890 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21 and 0.4?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-258 - -223) + 17 + (-1 - -46)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**3\/k**(-7\/2)*k**21*k\/(k**(1\/9)*k) assuming k is positive.\nAnswer: k**(493\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69260037.\nAnswer: 3, 7, 11, 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*s**2 + 3 + 6*s - s - 5*s.\nAnswer: 22*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(-1\/5))**31*f*f**4*f\/(f**1*f))**7)**30 assuming f is positive.\nAnswer: f**8652","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3110 and 2107336.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5493 - 5493.2. Sort o, 5, -0.24 in descending order.\nAnswer: 5, o, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5\/10 - 107854*m**4\/5 - 431424*m**3\/5.\nAnswer: m**3*(m - 215712)*(m + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20144350 = -5*u - 4*m - 5355634, -5*m = -3*u - 15300020. What is u rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**3 + 17 - 57*x**2 - 16 + 45*x**2 in the form m + g*x**2 + o*x**3 + t*x and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 22*b**2 + 91*b - 155. What are the prime factors of g(42)?\nAnswer: 5, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 9:18 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-2*sqrt(128) + 5)**2)*-1 - (sqrt(50)\/sqrt(5)*-3 + sqrt(10))\/(sqrt(270)\/sqrt(6)).\nAnswer: -536 + 482*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 39394 (base 14) in base 9?\nAnswer: 233851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43618*b**4 + b**3 + 2*b**2 - 58227*b wrt b?\nAnswer: 523416*b**2 + 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 416 and 114736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -121 (base 3) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/(-9))\/(-28) + 1\/(-4). What is the nearest to 1\/4 in w, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4329, -3905, -2681, -255, 3775?\n\"Answer: 67*u**3 - 2*u**2 - 39*u - 4355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27371.2023 - -27355.4023069. Let s = 15.8 + x. Round s to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**2 - 8 + 8)*(-4*m + 2*m + m) + (-4*m + m + 5*m)*(35 - 1 - 1)*(0 + 0 + 3*m**2) - 20*m - 6*m**3 + 20*m.\nAnswer: 196*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1440 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4*9\/(-18)*(-6)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - n - 1. Let j(h) = 3*h**3 - 4*h**2 - 4*h - 5. Suppose 3*b - 205 = 3*l - b, -l - 2*b - 55 = 0. Let x = l - -59. Determine x*k(f) + j(f).\nAnswer: 3*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141*g - 74*g - 77*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2448 + 3948. Is c a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 326, 0.1, -2, 1\/6?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + (sqrt(175) + -3 - sqrt(175)) + 5 + sqrt(175))**2 + (sqrt(175) + -3)*-2.\nAnswer: 30*sqrt(7) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 905187327*x**3 + 71*x**2 - 41*x + 510.\nAnswer: 5431123962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -18897342786 - -14.47?\nAnswer: -18897342771.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-16*1)*-2*0\/36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000028326 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -305709 (base 15) to base 16.\nAnswer: -230b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**24*(c\/(c*c\/c**43))\/c*c*c)\/(c**(-8)*(c\/(c**(-29)*c))\/c) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.92124 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -62  (b) -2\/7  (c) 0.3  (d) -237  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4035 and 11809100.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*t = 50*t - 38*t + 289359. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 751101025 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -333 - -1667\/5. Determine d so that 2\/5*d**2 + 0 - c*d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 8. Let j be x(-9). Let w = -14 + j. Let t(n) = 2*n**2 - 2*n + 1. Calculate the remainder when 62 is divided by t(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 50*s. Let j(y) = y. Calculate 75*j(r) - u(r).\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 84483426 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q - 2. Let s be r(-6). Let i = 0.06 + 1.74. Let p = 2.8 - i. Which is the third biggest value?  (a) s  (b) -2\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -2. Suppose 3*q + 15 = -0. What is the third smallest value in f, q, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111\/(-6)*11838\/(-2117029)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 2)*(-7 + 1). Let z = 10 - k. Let w be 4\/(-2) + 5 + 3. Solve w = -2*s - z*g, 0 = -2*s + 4*g + 14 + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0794 + -74.926.\nAnswer: -74.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (-1224)\/(-300) + (-154)\/50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1 = -5*n + 2, 3*n + 3*i = -3. Let d = -1 + 2. What is the remainder when n is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 5*y**2. Let i(j) be the second derivative of 50*j + 0 + 0*j**2 + 5\/6*j**4 + 0*j**3. What is u(i(s))?\nAnswer: 500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-76)\/16)\/(6\/24). Let v = -7 - q. Calculate the remainder when 34 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qxxug. What is prob of picking 1 u and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27260208 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1053) - sqrt(1053)*-3).\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2610*p + 31 + 21 - 50)*(0*p - p + 2*p)*(0*p + 3*p + p + 2).\nAnswer: -10440*p**3 - 5212*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 - 25)*(-4)\/8. Let t = o - 19. Let v = 0.179 - 0.379. Which is the third smallest value?  (a) -0.5  (b) v  (c) -2\/11  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - n = 12, 26680*a + 20 = 26676*a - 3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -43458 greater than -43459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*o*r**4 - 2*o*r + 39*o - 12*r**4 + 2*r wrt r.\nAnswer: 60*o*r**2 - 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8750217?\nAnswer: 3, 7, 416677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 18*r**3 - r**2 + r. Let w be d(1). What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3445 and 63180?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 229979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 15*l + 21. Let g be p(3). Let y = g - 261\/4. Find v, given that 1\/2*v**2 - y*v**4 - 1\/4*v**5 - 1\/2*v**3 + 1\/4 + 3\/4*v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*c = 37*c + 21. Suppose -a + 17 = -2. Let w = a - c. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 89, -16, -4 in increasing order.\nAnswer: -16, -4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22306511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 65481 at most 65466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 1. Let y be 16\/(-1 - -3) + n. Suppose 0 = -2*a + y, m - a = -m + 23. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-53)\/((-7208)\/(-306)))\/((-1)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.3196376368 to 2 dps.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2005927952 a multiple of 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1003025 (base 6) to base 13.\nAnswer: -18701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1807 - 914. Let m = -1064 - f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 2\/5  (c) 1  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - -326472846\nAnswer: 326472845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 357720 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: Calculate the remainder when (-2)\/(-10) + (-1676)\/(-20) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - ((-4 + -5 + -51 - (-12 + 0)) + -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -63 - (70 + 18)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*j + 31*j - 836622 = 19*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 5*q = 235 + 57, 0 = -2*v - 4*q - 274. Let h = -144 - v. Let s = 2\/7 + -11\/14. Which is the nearest to 1?  (a) 1\/5  (b) s  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f**3 - 16*f**2 + 49*f + 263. Give j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9 + (-289)\/34)\/((-2)\/(-4)). Suppose -t + 8 - d = 0. Calculate the highest common divisor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.14 and -1433.37.\nAnswer: 200.6718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 547236 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -501 + 736. Suppose 5*o = -0*o - n. Let z = 96 + o. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 391.168 + 0.832. Let u = -400.08 + z. Let k = u - -0.08. Is -1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 + 77 = u. Which is bigger: -180 or u?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -6*p + 6. Let f(t) = 0 + 2*t**2 - t**2 + p + 9*t - 2*t**2. What is the units digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 1\/5, 1891, -1\/11 in increasing order.\nAnswer: -1\/11, 1\/5, 29, 1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*b - 4*b - 3*b + (5 - 4 + 1)*(-229 - 5*b + 229) in the form j*b + o and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/218, -3\/2, 2600 in increasing order.\nAnswer: -3\/2, 5\/218, 2600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, -26, -1\/2 in decreasing order.\nAnswer: 7, -1\/2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -403 + 641. Let p = 442 - r. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79639?\nAnswer: 7, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 202, 346, 470, 574, 658, 722, 766?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - j**2 + 1)*(4 + 3 + 1)*(-454 - 435 + 69)*(6*j**3 - 2*j**3 - 2*j**3).\nAnswer: 13120*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1792 = -975*t + 1031*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 11*p + 1419. Suppose n + 23 = p. Let h = -107 + n. Put -4, h, -3 in increasing order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*w + 3*p - 567, 0 = -4*p + 16. Suppose 4*c = -2*l + 152, 131 = 2*l + 4*c - 7*c. Let d = w - l. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -845*v + 423*v + 420*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3954 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dcddbzq. Give prob of picking 1 b and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + (12 + -2 - (82 - 45))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 48*s**2 + 8*s - 4. Let i(w) = -49*w**2 - 10*w + 5. Let g(b) = -4*i(b) - 5*u(b). Let p(r) = -r. What is p(g(q))?\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*z - 5*k, 2*z + 2 = 3*z + 4*k. Suppose -z*u + 613068 = -126932. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 183 + -186. Let c be (-7)\/(-7) - (-3 - s\/(-3)). Solve -c = z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13\/170  (b) 0.2  (c) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 11) in base 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8328 is divided by 418.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3740478*k**4 - 4*k - 10150994 wrt k?\nAnswer: -14961912*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5*f = -70 - 23, -2*f + 264 = 5*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81940\/3 - -27561. Let y = 1625\/6 - k. Find the common denominator of y and 61\/(-6) - 1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/5 + 372*z\/5 - 1206.\nAnswer: 2*(z - 15)*(z + 201)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -152*f - 792. Give p(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2 + 2*t. Let l be r(-2). Let j be (2\/(-6))\/(l\/(-36)). Suppose 5*y - 74 = j*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 + -23. Let v(b) = 2*b**3 + 108*b**2 + 39*b + 2104. Let o be v(-54). Put 4, l, -4, o in descending order.\nAnswer: l, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12921743 to the nearest integer?\nAnswer: 3595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f - 6. Let x(c) = c**3 - 6*c**2 - 10*c + 18. Let y be x(7). Calculate the lowest common multiple of -3 + (-16)\/y*3 - 2 and v(4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**3 - u**4 - 505 + 257 + 251 - 4*u to the form z*u**2 + w + f*u**3 + t*u + o*u**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2450.774 * 333\nAnswer: 816107.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-2\/7))\/v*v**(-16))\/(v**(-3\/2)\/((v\/(v\/(v\/v**(-1\/3)))*v)\/v*v)) assuming v is positive.\nAnswer: v**(-499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**23)**43*((i*i**32*i)\/i)\/i**23 assuming i is positive.\nAnswer: i**999","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 8:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43622 - 799*x**3 - 42*x**3 + 43622.\nAnswer: -841*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 18*h**2 + 46*h + 15. Let a be y(15). What is the greatest common divisor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-224998)\/(-6) - 1\/(-3). Let r = 9736 - 9727. Suppose -14*x + r*x = b. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 9*v + 24. Let r be x(-10). Suppose r*f - 315 = 7*f. Which is smaller: f or 46?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 6:34 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.34362 + -1.34062196. Let h = 214 + -213.997. Let z = h - m. What is z rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1071, 2042, 6 in ascending order.\nAnswer: 6, 1071, 2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {z: 2, g: 1, h: 2, f: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4944 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-10))\/((-60)\/800*-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -3*w + 4*a + 1, 4 = 4*w - 4*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 7*t - 8. Suppose 74*q - t = 73*q. Suppose -3*k - 2*g + 2 = -3, -4*g - q = 2*k. Solve x = -k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 + j - j)*((-3*j + 2*j + 3*j)*(2 + 2 - 2) + 0*j + 5*j - 4*j - 2*j + 1 - 1 - 2*j - j + j)*(-41*j**2 + 76*j**2 + 31*j**2).\nAnswer: 66*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p**(5\/8)*p*p)*p)\/(p\/(p\/p**(-28)*p)))\/((p*p\/(p\/p**17)*p)\/p*p)**(-9\/2) assuming p is positive.\nAnswer: p**(919\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 50 = 68. Let t = -295 - -299. What is the third smallest value in j, 0.37, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1272922 and 65534.\nAnswer: 192211222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1800)*2 + 4.\nAnswer: 4 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 489 + -66. Let w(c) = 423 - 845 + n + 22*c**3 - c**2. Determine w(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3335760 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) -1  (b) -1\/4  (c) -0.15504  (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11173, -11156, -11139, -11122?\n\"Answer: 17*i - 11190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - -6. Let k = w + -17. Suppose -85 - 90 = -k*v. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*i - 12, -3*i + 2*j + 4 = -2*i. Suppose i*q - 25 = -3*z + 6, 4*z = 20. What is the smallest common multiple of q and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -7 + (-9 - -36) + -11 - (70 + -16)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 8*i - 26. What is the remainder when 51 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*x - 47*x = 4. Let a(y) = 0*y**2 + 101*y**3 - y**2 - y + x - y. What are the prime factors of a(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-4))\/(38 + 17595\/(-180))*(-14)\/49\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -184731 or -184714?\nAnswer: -184731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12045506, 24091010, 36136514, 48182018?\n\"Answer: 12045504*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -31716*q - 1. Let u(f) = 36*f**2. Give a(u(h)).\nAnswer: -1141776*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -646, -613, 102, 1499, 3578?\nAnswer: 6339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d + 8*d + 11*d - 6*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10210311223 (base 4) to base 15.\nAnswer: 18a5e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*-25\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-45) + 2\/5. Suppose 8 = 4*f - v*f. Solve -j + 2*j = -f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -141, -142, -143?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -4  (b) -1  (c) 14  (d) 2\/7  (e) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g + 7*g - 329985 + 329985. Let x(y) be the third derivative of -3*y**4\/8 + y**2. Calculate 4*t(b) + 5*x(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 350, 324, 290, 248, 198, 140, 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -13*v**3 - v**2 + 3*v - 5. Let q(f) = -19*f**3 - 2*f**2 + 5*f - 7. Give 7*c(p) - 5*q(p).\nAnswer: 4*p**3 + 3*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38304*s**4 + 149*s**3 - 76735347*s**2 wrt s.\nAnswer: 919296*s + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15851*b + 6028*b - 28 + 16 + 12 to the form r*b + d and give r.\nAnswer: 21879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -33  (b) 69326  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 0\/(-3) - -1. Solve -4*r - 2*c - 10 = 0, q*c - 9 = -3*r + 4*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 803\/64?  (a) 1  (b) 38  (c) 0  (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 121 - 121. Let t be (1 - -9)\/(-4 + 6). Which is the closest to h?  (a) -0.1  (b) -2\/15  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 12 = -0. Suppose -4*o - 5 = 31. Let s be 2*(o\/(-2) + -3). Solve 6 = -b + u + y, s*u = -3*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -187 - -189. Sort -4, c, 0 in descending order.\nAnswer: c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from tzxoxxzzoftzix?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*-3*4\/(-9). Suppose 2*g = i + 6, -4*g + 16 = -3*i + 4. Solve i + 4 = v*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 19*f**2 - 18*f - 30. Let m be b(20). Solve 27 = j - 3*y + m, -2*j = -3*y - 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*1)\/((-2104)\/6838).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/16893225 and -91\/500540.\nAnswer: 67572900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -44, -70?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1871428, 3742857, 5614286, 7485715, 9357144, 11228573?\n\"Answer: 1871429*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -3*k + 2*m + 5, -3 = 3*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0541 + -0.2541. Let w = -0.1 - -0.2. Let u = -46 - -45.5. Which is the third biggest value?  (a) n  (b) w  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 50*n - 112. Calculate r(-5).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {s: 7, z: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 307692 divided by 180?\nAnswer: 8547\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - y - 7. Let o be d(4). Suppose o*r + 70 = -5*w, w - 5*w + 4*r - 24 = 0. Let a be (-5)\/(-2)*(-8)\/w. Put a, 1, -2 in decreasing order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9432 divided by -3\nAnswer: -3144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18520 - -28915. Is k a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.93219 decades in years?\nAnswer: 369.3219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15628087?\nAnswer: 103, 151729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*i + 15 = 61*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9772152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c + 26. Let w be (-1 - -1)\/(2\/(-1)). Calculate the remainder when m(w) is divided by (-67)\/(-5) - 6\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 + 3*l**2. Let x(i) be the third derivative of -i**6\/30 + i**5\/20 - 31*i**2. Determine -6*m(u) + 5*x(u).\nAnswer: -2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3913018232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 2\/7  (c) -30294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.2, 1, -28?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3004331134120 - -1?\nAnswer: -3004331134114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 3 + -1 + (-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**3\/3 + 4*q**2 - 2*q - 1. Let y be r(7). Solve -3*f = 2*f + y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10012 - -3?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18\/11 in 231, -0.1, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 4 = 4*g, 4*f - 4*g + 28 = 32 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flqppqoxo. Give prob of sequence lx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7\/266 + 14246\/(-1292)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.9774 from -0.2585.\nAnswer: 0.7189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/185048 and 119\/6.\nAnswer: 555144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ndnn when four letters picked without replacement from {d: 3, n: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2671*y + 537*y + 535*y + 532*y + 533*y + 522*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 121 - 123. Sort 2, -2\/7, v.\nAnswer: v, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = v - 3, -2*x = v - 3. Let j be (-2 + x + 6)\/1. Let 4*h**j + h + 4*h**2 + 2*h**2 + 2*h - h**3 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*u = 2*g - 190*u + 95*u - 424, 6*g - 488 = 14*g - 6*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x = 0. Let v = -65 - 70. Let f = -1217\/9 - v. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 5*l**2 + 813*l + 32707. Calculate f(-73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 3*t + 10, -5*t + 19 = 3*m + 6. Suppose 4*n - 9 = -m. Suppose -15 = -d - 5*h, 4 - 1 = n*d + h. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-36)\/(-21))\/(12\/42). Let u(m) = -m - q + 4*m + 1 - 2*m. Let x(r) = -156*r + 1103. Let a be x(7). Calculate u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 24 + 3*x**2 - 481*x.\nAnswer: 3*x**2 - 481*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(-2\/7))**(-1\/21)*r**(2\/3)\/(r*r*r**(1\/2)) assuming r is positive.\nAnswer: r**(-571\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -61 + 359. Let p = m + -119. Suppose 23 = -4*w + p. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 21 = -5*n. Let m = -112 - -66. Let r = -18 - m. Calculate the greatest common divisor of r and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 - 43*u + 1519. Let t be q(-66). Which is the closest to -0.1?  (a) 10  (b) 76  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y + 61 - 117 - 184 for y.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - (-54987)\/24)\/(2 + -1). Suppose -g + 9204 = 3*g. Let k = g - t. Find the common denominator of 27\/20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjsjjjsjjjsjj. Give prob of sequence ss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 59, -5, -350.\nAnswer: -350, -5, -4, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -4*n**2 - 8. Let p(d) = d. Determine p(o(v)).\nAnswer: -4*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1262 - 3554.1.\nAnswer: -2292.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.031 + -0.069. Which is greater: -2.7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of 273*z**3 + 788*z**2 + 791*z. Find the first derivative of p(s) wrt s.\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2911 = 82*b + 861 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2760 - 2745. Solve -19*j = 110 - q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162 - 96. Suppose -174 = -5*u + c - 2*c, -5*u - 5*c + 170 = 0. Calculate the remainder when f is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77114896 and 12694.\nAnswer: 848263856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 + -42. Suppose 2*c = -5*v + 248, 3*v + j*c - 136 = 2*c. Calculate the remainder when v is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cmqmcmmcdc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/4, 29, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -158*x**5 + 197*x**3 + 159293*x wrt x.\nAnswer: -3160*x**3 + 1182*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -497203336423 - 2?\nAnswer: -497203336425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*o = -374017 - 2802911. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 9*j + 2. What is t(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -101000?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -82 - -10019. Let r = -486930\/49 + d. What is the common denominator of 72\/35 and r?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006427835747 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 - 77. Let v = 39 + k. Let m = 0.1 + 0.9. Which is the smallest value?  (a) m  (b) v  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - 146501?\nAnswer: -146515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 3642.\nAnswer: 36420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233350?\nAnswer: 2, 5, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/3*1\/(-1). Let f(i) = i**3 - 3*i**2 - 6*i + 10. Let p be f(4). What is the second derivative of -6*t + t**2 - t**z + 4*t**p wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/14)\/(21798\/4671*12*(-2)\/(-98))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (-1*sqrt(85) + sqrt(85)) - sqrt(85))*-3)\/(sqrt(30)\/sqrt(6)*6).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.081908 millennia?\nAnswer: 0.81908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-14) + 0\/(-4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 minus -1422?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8 - (-2 - -4))*-1. Let g(r) = -r - 4. Let l be g(m). Let f(n) = 3*n + 2. What is the units digit of f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2159288 is divided by 561?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24003 + 54914. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 7*l - 5. Let t(j) = 3*j + 2. Let o be t(3). Let m be v(o). Suppose 13*r + z = 17*r - 72, 0 = 4*z. What is the greatest common factor of m and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33963862 - -1610029. Let w = h - 25073891. Round w to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 0 - 1\/6*p**3 - 6*p**2 + 0*p + 1\/6*p**4. What is the units digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 642 + -373. Calculate the remainder when k is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1474.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - r = 3*r - 26, -5*c = 3*r - 37. Suppose -c*o + 1 = -19. Let k be (6\/4)\/3*8 - -8. Solve i + i = s - 12, -o*s = i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34)\/1360*-20)\/(1960\/329 - 6).\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 4*i**3\/3 - i**2 - 2*i + 3. Let v be u(-1). Factor 7*p**2 + v*p - 2 - 6*p - 3*p.\nAnswer: (p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -118 - 308. Let n = -445.02 - 5.28. Let c = n - i. Round c to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 0*i + c + 32 = 0, -5*i + 5*c = 50. Calculate the remainder when (-7)\/(i\/(-12))*40\/(-15) is divided by (-2)\/(-7) + 61\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4\/8 - 81*b**3\/8 - 159*b**2\/8 - 79*b\/8.\nAnswer: -b*(b + 1)**2*(b + 79)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 6*a - 7*a. What is the second biggest value in a, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -71 - 3. Suppose 0 = -3*f - 4*y + g, -5*y - 4 = -5*f + 131. Let v = f - 15. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*o - 26 = 54*o. What is the smallest value in -43\/2, -5, o?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 39 - 4270351?\nAnswer: -4270314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/440 and 13\/280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23013 + 1101?\nAnswer: 24114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -5*c**6\/6 + 7*c**2\/2 - 37. What is the second derivative of z(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 14, 16 in descending order.\nAnswer: 16, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1102 and 89357?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w + 10. Let x be y(4). Suppose g = -2*g + 3*h, -x*h = 6. Calculate the remainder when 12\/g - (-48)\/3 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 - 3*i + 1. Let v be s(2). Let a be (-2)\/((-30)\/(-51)) + v. Let f = -0.053 + 0.003. What is the biggest value in a, f, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*u)*(-4 + 3 - 1)*(-5*u + 4*u - 3*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -69629 (base 15) to base 11.\nAnswer: -20a093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 880 and 27885?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.239444 decades to years.\nAnswer: 62.39444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f + 1. Let r be n(-2). Let d = r - -5. Let x be 3 + -5 - 8\/d. Sort -1, -2, x in increasing order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 379 + -378.2. Which is the nearest to -1?  (a) y  (b) 2  (c) 1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 83357829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24860 and 440?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 9:03 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126138771 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, m: 1}. Give prob of sequence gggg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -151 in ascending order.\nAnswer: -151, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32780*l - 32776*l + 3*t = -50, -3*t - 60 = 9*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-32))\/((-3)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 11*y**2 - 2*y + 9. Let k be x(7). Let i = 424 + k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59382, -237253, -533696, -948705, -1482274, -2134397?\nAnswer: -2905068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = u + 3*u. Suppose 0*x = u*x. Suppose -1\/5*s + 1\/5*s**2 + x = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c - 530 - 198 = 0. Let s be 2\/6 + c\/(-3) + -2. Solve 0 = -s*w + 32*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 811686 times -0.1?\nAnswer: -81168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3401 - 3112?\nAnswer: -12013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 - -133203203230?\nAnswer: 133203210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 203.637 - -48475.\nAnswer: 48678.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 1. Solve 20 = -4*c + 4*w, -3*c + a*c + 16 = 4*w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1523\/4300 + -358853\/928800. Calculate the common denominator of -47\/320 and c.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 255, 507, 765, 1029, 1299?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5)\/z*z\/(z**(2\/19)\/z)*z assuming z is positive.\nAnswer: z**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -107\/24, 0.4 in descending order.\nAnswer: 0.4, -0.5, -107\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -151 divided by 564?\nAnswer: -151\/564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 18464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -31*i - 20. Let t(n) = 20*n + 13. Let d(p) = 8*t(p) + 5*w(p). Let a(u) = -4*u - 3. Determine -4*a(f) - 3*d(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) 1  (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12714577 (base 8) in base 14?\nAnswer: 54543d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6123 = -5*a + 2*q - 1652, 4*a - 2*q - 3576 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b. Let d(c) = 2*c. Let p(g) = -2*d(g) - 2*o(g). Let t(v) = -43*v. Determine t(p(w)).\nAnswer: 86*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 15*d - 8 + 3 - 63*d + d**2 to the form h*d**2 + s + n*d and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2531107795 divided by -1.\nAnswer: -2531107795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28235 is divided by 4705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -3520170 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 58 = 5*b, 0 = 3*l + 3*b - 83 - 55. Calculate the remainder when 686 is divided by l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2, 6, -24192.\nAnswer: -24192, 0.2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.541*5033.\nAnswer: 22854.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 - 85\/3. Let x = -17\/3 - g. Which is the smallest value?  (a) -0.3  (b) 5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 - 11*t**2 - 2*t + 24. Give q(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2835913 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 916 + -890. What is the remainder when 753 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-8\/13))**(3\/20)\/(u*u*u\/(u*u**(-2))*u**(-1\/8)) assuming u is positive.\nAnswer: u**(-1889\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/659483 and 12\/13944667.\nAnswer: 5006135453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48620 and 21190?\nAnswer: 7925060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 780526.6 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9.3 and 0.06.\nAnswer: 0.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 8:46 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**3 - 21819*t**2 - 39639648*t + 119115396 = 0.\nAnswer: -3638, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -771, -3087, -6947, -12351, -19299?\nAnswer: -27791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*j - 1 + 121*j**2 - 222*j**2 - 726*j - 159*j - 356*j**2 wrt j?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 4*v**2. Let c(w) be the second derivative of w**4\/12 + 7*w. What is n(c(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60150 and 4.\nAnswer: 120300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-four fifths of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of 405*l**2\/2 - 308*l + 511. Find the first derivative of m(s) wrt s.\nAnswer: 405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110101 + -11011?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(896)*-5*1)\/((sqrt(2100)*2)\/sqrt(3)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 453614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22.02 - -0.02. Let k = c + -18. What is the second biggest value in -0.4, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -915 + 291 = -6*l. Calculate the smallest common multiple of l and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 788 is divided by -3 - ((-4)\/(-24)*-278 + 2\/(-3))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - z - 30. Let r be 8\/z + 112\/35. Suppose -p - r + 5 = 0. Let n(a) = 2*a**2 - a. What is n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**3 + 2*b**2 + 3*b - 1. Let k(q) = 9820*q**3 - 6*q**2 - 9*q + 3. Give 3*g(p) + k(p).\nAnswer: 9829*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 21*b + 2. Calculate the remainder when w(7) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12 + -13)\/(1\/(-5)). Let k = 7 - 3. Suppose k*i + z = 29. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 352 = 4*j, -4*j + 0*c + 356 = -2*c. What is the greatest common divisor of j and 2494?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18*(-29)\/(551\/(-38)))\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -293  (b) -5  (c) 0  (d) 3\/4  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 2 - 2*-1. Suppose -3*s = g*r - 21, -5*s + 4*s - 8 = -2*r. Which is the smallest value?  (a) 0  (b) -2\/15  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 9*m - 9. Let x be h(7). Find the second derivative of -n + 8*n**x - 14*n - 2*n wrt n.\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 167612 - 1?\nAnswer: 167611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c - 13 - 34 - c + 0*c. Calculate the smallest common multiple of a(14) and (-3)\/((-20)\/(-21) + -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of s**6\/450 + 3*s**5\/50 - 13*s**3 - 78*s**2. Let z(k) be the first derivative of h(k). Solve z(a) = 0 for a.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33*(-4)\/(-60)*(9 + -4) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 - (1\/2 + (-513)\/(-114)) - -39081 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -190, -1011, -2442, -4537, -7350, -10935, -15346?\n\"Answer: -9*o**3 - 251*o**2 - 5*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 1. Let h be ((-24)\/(-15))\/(4\/(-10)). Let r be 150\/22 - (-14)\/77. Sort h, -1, r, b in decreasing order.\nAnswer: r, -1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 16. Suppose 4*f - 4*o = -8, -2 = 4*f + 3*o - i. Calculate the smallest common multiple of (-5)\/(-2)*(f - -2) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -2)*(2 - 0). Suppose -10 = 2*a, 187 = -x + 4*x + r*a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.164 + 5.164. Which is the closest to 0.2?  (a) z  (b) -5  (c) -4  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4, 3*q + 0*q + 88 = 5*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -587, -662, -737, -812?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((140\/(-7))\/(-100))\/(13\/(-10)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m - 1. Let r(p) = -7*p**2 - 5*p + 2. Let f(c) = 3*i(c) - r(c). Let x = 52 + -23. Calculate the remainder when f(4) is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 20 - (-7 + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a**(-1\/19))*((a*a**(-3\/17))\/a*a)\/a*a**(-44)*a*a**(-3\/5)\/a)**(19\/5) assuming a is positive.\nAnswer: a**(-73844\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -42a84 (base 15) to base 13\nAnswer: -7542a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 4:21 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 74981?  (a) 3\/2  (b) 4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7*-2.908\nAnswer: 20.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.8 - 4.9. Which is smaller: -0.037 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 12:02 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2175*d + 522 = 4323*d - 2166*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - -15) + (2 - 2) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98572 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*u - 1278 = 57*u. Solve 48 = -u*d + 30 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1, 14, 33, 58, 89?\n\"Answer: 3*m**2 + 4*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/3  (b) 0  (c) -2\/7  (d) 0.3  (e) -2  (f) 5  (g) 99619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/13)\/(z**(1\/5)\/z))**(-29) assuming z is positive.\nAnswer: z**(-1798\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2055, 4089, 6101, 8091, 10059?\nAnswer: 12005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7933467683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -l - 2*l - 3*l - 7 + 4*l in the form y*l + a and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 370.78ns?\nAnswer: 0.37078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -v**4\/24 - v**2. Let u(i) = 6*i**2 + 5*i. Let q(b) = 24*b**2 + 21*b. Let g(z) = 5*q(z) - 21*u(z). Calculate g(n(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -295*o + 977*o**2 - 104*o**2 + 555 + 292*o - 5095 wrt o.\nAnswer: 1746*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 1. Solve -3*t = -a*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003131751 rounded to seven decimal places?\nAnswer: 0.0003132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 46, 128, 212, 298?\n\"Answer: j**2 + 79*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**2 + 142150*k - 142149 = 0.\nAnswer: 1, 142149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (68000\/15)\/5*108\/24 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -12 - 124. Let m(y) = 4*y - 33. Let c be m(j). Let x = 37 - c. Solve -3*w - 2*i - 2 = 9, -x = -w + 5*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000361453226 rounded to 6 decimal places?\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -6, -10, 61?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of 2*t**3\/3 - 9*t**2\/2 - t. Let o(z) = 3*z + 3. Let j be o(3). Suppose 3*h - 9 = j*b - 8*b, 6*h = b + 39. Determine d(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9 - 2) + 1702\/148. Let r = 83 - 417\/5. Put s, 5, 3, r in descending order.\nAnswer: 5, 3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3104 - 9299 + 3098 + 3097 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*m - 916 = -7016 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3638 - -0.9.\nAnswer: -3637.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 2)*-113 - (1 - 2). Let c = 116 - i. Solve 3*d - c - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-952)\/(-272) - -177*5\/(-30)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5 - 2 = 0. Let d = -6.2 + 6.2. What is the second biggest value in d, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 7*l + 4. Suppose 0 = 4*k - 9*k + 65. Suppose -3*q - 5 = k. What is the tens digit of p(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*z + 14*z + 8*z)*(0*z**2 + z**2 - 4*z**2)*(0*z + 5*z - 3*z).\nAnswer: 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000063 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1791+-0.2\nAnswer: 1790.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19560.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 31*i - 30*i + 3, i = 3*j + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(4\/11)\/a*a**12*a*a*a**(1\/5)*a*a*a*a*a*a\/a**4 assuming a is positive.\nAnswer: a**(856\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 2, -325, -10 in increasing order.\nAnswer: -325, -10, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000118684 to 7 dps.\nAnswer: 0.0001187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (5 - (-2 - -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 2*g + 0*g)*(-4 + 6 + 0) + (-1 - 2 + 1)*(5*g - 2 + 2).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4\/13)\/(i**18*i)*(i**(-2\/59)*i)**(-2\/57))**10 assuming i is positive.\nAnswer: i**(-148350\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7633721\/38 <= 200887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -547*w + 552*w - 261815. Let u = w - 182963. Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 5 - (-282 - -286 - (3 - 5 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -296 equal to -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -478822*v**2 - 402*v + 77.\nAnswer: -957644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/105 - 283\/840. What is the biggest value in -3, s, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6032664?\nAnswer: 2, 3, 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.85 + -937.15. Let x = w - -936. Let l = 0.2 - 0.1. What is the biggest value in -8, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 5\/79882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 15 - 19552437051*o**3 + 19552437048*o**3 + 5*o**2.\nAnswer: -3*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 9, -0.1, 1060\/11, 110.\nAnswer: -2\/3, -0.1, 9, 1060\/11, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.01 at most -1026792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*((-38)\/(-10773)*9)\/((-30)\/9).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, 8150, -8?\nAnswer: 8150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -12e6c (base 15) to base 13\nAnswer: -21798","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, l: 1, m: 2, k: 1, t: 1, v: 1}. What is prob of picking 1 k, 2 m, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -51.2, -1\/4, -3\/8, 1 in decreasing order.\nAnswer: 1, 0.3, -1\/4, -3\/8, -51.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 256.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27667 (base 9) to base 2.\nAnswer: -100100101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-585*w - 282*w + 262*w)*(2*w**3 - 2 + 2).\nAnswer: -1210*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1146 + 1317. Calculate the remainder when n is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = m - 0*x - 26, x = -m + 46. Suppose m = z - 4*o - 91, o = -3*z + 370. Calculate the greatest common divisor of 31 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84717194 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.26 - -3.76. Let l = 258 + -259. Which is the closest to 0.2?  (a) l  (b) x  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 212836 and 46228.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 320 + 324 - 644 + 1666*d**5 + (2*d**4 - 2*d**4 - 2*d**5)*(4 - 3 - 2).\nAnswer: 1668*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 6, h: 3, e: 3, m: 6}. Give prob of picking 1 h and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421 - 602 + 589 = 51*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 + 40 = 14*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 116836 (base 10) to base 8\nAnswer: 344144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -16487181 and 0.0508.\nAnswer: -16487180.9492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, 60 in descending order.\nAnswer: 60, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*f - 32 = 4*k - 51*f, f + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 11000000111 (base 2) to base 10\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (62\/(-5))\/(8959\/(-2890)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p**(2\/3)*p*p*p*p\/(p\/(p\/(p\/p**1)*p*p)))**(-1\/6))**(-2) assuming p is positive.\nAnswer: p**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 4*p - 1. Let s be n(-5). Suppose -j = -c - 199, -390 = 5*c - s*j + 608. Let o = -125 - c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -2611, -2, 18, 1 in ascending order.\nAnswer: -2611, -2, -1, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-4) - (-5)\/2. Suppose d = v - 1. Suppose 0 = v*y - 5 - 11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -87, -91, -95?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 - 6*i - 5. Let t be q(-4). Suppose 396 + t = 3*u. Suppose -2*a + 9 = -u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -479*i*r*v**3 + 3*i*r*v + 14*i*v + r*v**4 - 5*r wrt v?\nAnswer: -2874*i*r*v + 12*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of l*p**2 - 465523*l*p*v + 73*p**2*v - 419*p**2 + p + 2*v - 2 wrt l.\nAnswer: p**2 - 465523*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xdv when three letters picked without replacement from {t: 2, q: 1, m: 5, x: 1, d: 5, v: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 5, 1166, -2, -119 in descending order.\nAnswer: 1166, 16, 5, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 244742317 a multiple of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -77 (base 10) to base 16\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (246\/(-61) - -4) + (-188)\/305*-2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - 13104124?\nAnswer: -13104114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*14*176\/(-560).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 192103*a + 192103*a - 1942*a**3 in the form j + c*a**3 + f*a**2 + v*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1803 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (107 + 1)*10\/40. Let k = -0.07 - 0.93. Is u bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 2*k = 0, -g = 5*k - 3 - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 10314 (base 5) to base 6\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11220202 (base 3) in base 11?\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4 = -g, 0 = 2*f - 2*g - 12. Let v(h) = f*h + h**2 + 2 - 3*h**2 - 4*h**2 - 1. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/245, -0.06, -5, 5\/3, 2?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*p - 94*p - 25 = 5*k, 0 = 5*p - p + 22*k + 200 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188 = 9*i - 170 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -24828049*v**2. Let l(b) = -b. Determine l(j(f)).\nAnswer: 24828049*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (1 + -6 - (-137 - -129))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -69\/1897745 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1051 (base 11) in base 6?\nAnswer: -10231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 5128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.11 - -0.94. Let g = -0.05 + i. What is the third smallest value in -3, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 7:25 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178013 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -10.\nAnswer: -10, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 324376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 11*z**2 + z - 1. Let u be i(1). Suppose -5*p - 4*g - 8 = 0, 4*g + 8 = -2*p + 4*p. Sort u, p, 2 in ascending order.\nAnswer: p, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305072888?\nAnswer: 2, 17, 2243183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 70 = 5*m, -y + 9 = -m - 13. Suppose -16 = -5*h + 4*g, 0*g + y = -5*g. Factor 1\/3*i**4 + h*i**3 + 0*i - 2\/3*i**2 + 1\/3.\nAnswer: (i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**2 - 18*k + 43. What is v(5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 660 = -132. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29\/(-116)*-2*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 60135061 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/(-207060)*116*(-75)\/6.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-373 + 373 - 43*c**3)*(-1 + 0 + 2)*(6 - 6 - 2*c).\nAnswer: 86*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 1. Let p be w(2). Let i = -68241 - -136485\/2. What is the fourth smallest value in -4, 3, i, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l + 8. Let h be t(-1). Calculate the common denominator of (4\/36)\/(1\/165*h) and 29\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1719 + 2870. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -204 and -1.2.\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4712 - -4712.2. Put -18, 5, p in descending order.\nAnswer: 5, p, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 622 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q - 4. Let t be s(3). Let k(r) = 37*r**2 - r. Let j be k(t). Suppose j = 3*h - 19. What is the remainder when 37 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/((-40)\/(-8)))\/(-3). Let v be 8\/110*5\/3. Let j = v + -19\/66. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0038485801399 to six dps.\nAnswer: 0.003849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**3 - 14*y**2 + 12*y = 0. What is y?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -27, -38, -49, -60, -71, -82?\n\"Answer: -11*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 47 and 2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (25 - -1 - (366 - 347)) - 99?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of 0*v - 56 - 5\/3*v**3 + 5\/2*v**2. Factor u(g).\nAnswer: -5*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-94)\/40)\/((-63)\/14). Let w = -11\/90 + c. Put -3\/5, -0.5, w, -5 in increasing order.\nAnswer: -5, -3\/5, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**5\/60 + n**2. Let i(h) = -6*h**2. Give z(i(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 4*d**5\/5 - 2*d**4 - 44*d**3\/3 + 24*d**2 + 144*d + 77. Factor p(c).\nAnswer: 4*(c - 3)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 + 3*v**2 + 3*v + 3. Suppose -5*q + 0 = 15. Let x be 5\/(-30) + (-20)\/24. Let l(s) = -s**3 - s**2 - s - 1. Determine q*l(b) + x*w(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 7*y**2 - 5*y + 10. Let s be u(-6). Suppose d - 2*d + 9 = s*g, 4*d - 3 = -5*g. Solve 23 = 5*v + 4*f, g*v = 8*v - 3*f - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((12210\/(-6875))\/111)\/((-1)\/5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 31 = 35. Let -2*o**3 + 3*o + 2*o**3 + 3*o**3 - 6*o**i = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (8 - (19 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 41 = -5*c. Let l be 3\/9 - 3\/c. Suppose 3*m + 5*v = -0*m - 22, 5*v + 25 = l. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1795, -1792, -1787, -1780, -1771, -1760?\n\"Answer: a**2 - 1796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*((-2)\/(-4) + -1). Suppose 2*y + 38 = -4*y + 68. Factor -18*n**g - 4*n + 5*n**4 + 7*n**2 - 6*n**5 + y*n**4 + 7*n**2 + 4*n**5.\nAnswer: -2*n*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1679 is divided by 549.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 215*f**2 + 222*f + 465. Calculate l(-2).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -37 + 18 + 66*k + 8. Is l(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**2 - 863696*h - 93246347552 = 0.\nAnswer: -215924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8 = 3*c - 6*c, 4*c - 15 = p. Suppose 4*x + 2 = 2*n, -c*n + 5*x + 10 = -9*n. Let l = -9.9 + 10. What is the third biggest value in l, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 4*1 - (-20 + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 4*y**2 + 3*y + 19. Calculate the remainder when f(-4) is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1216))*-6.\nAnswer: -48*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + 7 + (-9)\/3. Suppose -3*p = 4*n - 194, -4*p - n + 268 = -z*n. What is the remainder when p is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12980436 is divided by 2001?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12631501.\nAnswer: 29, 435569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -5862*j**2. Let d(a) = -8*a**2 + 19*a**2 - 63*a**2 + 28*a**2 + 25*a**2. What is d(r(k))?\nAnswer: 34363044*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 43 and 0.4.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*r**2 + r**4 - r + 2*r**3 + 88275 - 88268 - 9*r**2 to the form g*r**4 + j + s*r**2 + t*r**3 + w*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*o = 2838, 7*o - 3*o = 0. Let s = 600 - p. What are the prime factors of (-12)\/(-42) - s\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -2, -175 in ascending order.\nAnswer: -175, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 6. Let y be (-2)\/(12\/m)*-194. Suppose 0*j - y = -5*j - s, 5*s - 48 = -2*j. What is the remainder when 54 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 8*p + 4. Let m(c) = 9*c**2 - 40*c + 164. Let j be m(5). Let t be 2\/20 - j\/90. Calculate o(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -227233289*b - 80739819 wrt b.\nAnswer: -227233289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/10*15\/(-36).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l - 2*m = 18*l - 789, 2*l - 2*m - 324 = 0. Find the first derivative of -27 + 22*h**3 - 113*h**3 + 23 - l wrt h.\nAnswer: -273*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + m = 9*g - 31, -4*g + 2*m + 30 = 0. Suppose -g = -2*i - 0*i. Suppose 0 = i*t + t - 155. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m**(-4)\/m*m))**(-33)*(m**34*m)**32)**(-1\/34) assuming m is positive.\nAnswer: m**(-494\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 7*o**2 + 13*o - 45. What is j(8)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/15, 0.1, -15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x**3\/2 + 180*x**2 + 3110*x + 5520 = 0. Calculate x.\nAnswer: -46, -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -18*s - 1343. Let w be v(-74). Let x = -3 + 3. Let f(h) = 1 + x*h - 2*h + h**2 - 3*h**2. Let o(d) = 10*d**2 + 11*d - 5. Calculate w*f(q) - 2*o(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -7) + 19 + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x + 4. Suppose 5*s - 17 = 3. Let l(i) = 4*i**3 - 7*i**2 + 6*i - 1. Let c be l(1). Suppose 3*k = -6, c*f = f - s*k - 13. What is n(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21, 20, 17, 12?\n\"Answer: -l**2 + 2*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5644526 (base 7) to base 4.\nAnswer: -2222332220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 + 168\/5. Which is smaller: 15\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*x**2 - 2*x**2 + 7*x - 6*x)*(-3*x - 3*x + 5*x) in the form d + n*x**2 + s*x + b*x**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 305.63?\nAnswer: -306.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*a - 14501 = 24*a - 3*q, 10357 = 5*a + 3*q. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.075013 - 3256.624987. Round y to the nearest ten.\nAnswer: -3260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-13 + (7 - 14) + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 2 + 2)*(2606 - 36*n - 100*n - 2608).\nAnswer: -408*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -8. What is the least common multiple of 34 and t?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(14\/1))\/(1\/12)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -123*a**2 + 411*a + 645178?\nAnswer: -246*a + 411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 4*i)*(-14 + 1 + 0) - 54*i + 2*i - 23*i in the form s + z*i and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 642457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -1808 - s + 1808. Let t = 1 + -2. Let w(r) be the second derivative of 4*r**3\/3 + r**2 + 2*r + 6. Determine t*w(i) - 10*b(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 780 and 1365?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**5\/3 + 460*g**4\/3 - 52897*g**3\/3 - 1382*g**2\/3 + 159620*g\/3 - 105800\/3 = 0.\nAnswer: -2, 1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/3))**(-1\/21)\/(l\/(l\/((l\/l**3)\/l)*l)*l**3*l*l) assuming l is positive.\nAnswer: l**(-65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4152593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 77 = 8*c. Let p = -53 + 95. Calculate the remainder when p is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 638 and 3031754.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 smaller than 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14733 + 14729. What is the fourth biggest value in 4, 1\/5, h, -3.054?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 divided by 44?\nAnswer: 689\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**3\/3 - 7*j**2\/2 + j. Let p be f(-6). Suppose p*n + 2*z - 3 = 13, -2*z - 20 = -4*n. Solve 12 = -n*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 + 2*y - 2. Let g be p(-2). Let w(z) = -5*z**g + z + 6*z**2 + 3*z + 11. What is the units digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.198 * 0.85.\nAnswer: -0.1683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 312165240 to the nearest 100000.\nAnswer: 312200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 31*k**2 - 219*k + 2. Let y be i(20). What is the highest common factor of 2222 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*j = 542, 280*j = -4*n + 279*j + 539. Suppose -8 - 84 = -2*u - 4*l, -3*u = 4*l - 138. What is the remainder when n is divided by u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -89 - -265\/3. What is the smallest value in -0.1, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j**3 + 9*j**2 + 11*j + 3*j**3 + 4 + j - 9*j**3. Let z = 1 - -9. Calculate the lowest common multiple of 15 and i(z).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -6*f**2 - 19*f. Let q be 49*(-3)\/(-63)*9. Let o(x) = q*x - 44*x + 22*x. Determine o(c(n)).\nAnswer: 6*n**2 + 19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -i**6\/360 + i**4\/24 + i**3\/6 - 4*i**2. Let d(g) be the first derivative of t(g). Suppose d(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*j = -4*s + 104, 3*s - 5*j = 110. Suppose 6*a = a + s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + w**2 + w**2)*(-144 + 6*w**2 + 144).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 69580*a*m*q**2 - a*m*q - a*m - a*q + 23*m*q**4 - m*q**2 + 336266*q wrt q?\nAnswer: 139160*a*m + 276*m*q**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -65 - -4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 6:09 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4866.4410088 + -4851.441. Let h = -27 - -12. Let q = h + p. What is q rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 12:40 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/(-320) + (-326)\/16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 2*k**2 + 4*k - 4. What is the units digit of c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence svee when four letters picked without replacement from {e: 1, z: 3, v: 5, u: 4, y: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 272862940?\nAnswer: 818588820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6735.453 - 6726. Let h = u + -9.4. Let b = -5.847 - h. Round b to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -0.59?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -d**5\/60 + 2*d**4\/9 - 8*d**3\/9 + 17*d. Find c such that u(c) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 4)*(f**3 + 0*f**2 + 0*f**2) - 30*f**3 - 4*f**3 - 3*f**3 + f**3 + 3 - 3 + f**3 - 3*f**2 + 3*f**2.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b + 645 = -5*b. Let s = b - 85. Let m = -26 + s. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -5*f + 3. Let z be 20\/50 + (-8)\/(-5). Calculate the lowest common multiple of u(-3) and z\/(-9) + 1168\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = s + 5, -4*s + 2*k - 1 = -3. Let b(j) = s*j + 4*j - 2*j + 3. What is the units digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -5*w + 35, 770*m - 776*m + 6*w - 3*w - 6*w = 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (-72)\/(-28) - 2. Let w = -488\/7 - -70. Solve z*d**3 - 2\/7*d**5 + w*d**4 - 4\/7*d**2 + 2\/7 - 2\/7*d = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*x**4 + 11*x**3 - 412*x**2.\nAnswer: 624*x + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.02 + -0.02. Let d = 11.0047 - m. Round d to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2163 = 2148. Let a(y) = 8*y**3 + 5*y - 3. Suppose 0 - 18 = 3*j. Let d(h) = 9*h**3 + 6*h - 4. What is b*d(q) + j*a(q)?\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2302\/35 + 326\/5. Let q = -31462 - -31461. Let h = -7.8 - -0.8. What is the smallest value in l, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 20*s**2 - 34*s - 83. Let u be h(-3). Suppose 0 = -3*a - 5*y + 617, 4*y + u + 382 = 3*a. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*h + 2*h - 2*h + (2*h + h - 4*h)*(-2 - 3 + 3) + 2*h - 9*h + 2*h)*(2*h**3 + 3*h**3 - 3*h**3) as t*h**2 + c*h**3 + g*h**4 + o + j*h and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**5\/30 - 7*n**4\/12 - 10*n**3\/3 + 61*n**2\/2 + 54*n. Let s(k) be the first derivative of v(k). Find h such that s(h) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3 - 3. Solve 8 + 4*o**p + 4*o + 0*o**3 + 6*o**2 + o**4 - 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -71.99 + 72. Which is the second smallest value?  (a) -5  (b) r  (c) -3\/7  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -14*v - 5. Let n(o) = 1667*o - 85. What is -6*n(p) + 102*t(p)?\nAnswer: -11430*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 21 + (-26 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*-1 - sqrt(180))*4 + 1*sqrt(180)*-4)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -225, 3086, -2, 5 in decreasing order.\nAnswer: 3086, 5, -2, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - u - x - 3, -6 = -2*u - x. Suppose 0*w + u*g = -3*w, -3*w + 3*g + 18 = 0. What are the prime factors of -1 - (-6 + -1)*w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 9 = 24. Let l(p) = -p**2 - 3*p - 2. Let x be l(-1). Solve x = 4*o - c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 - 134*c - 2282. What is h(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 552\/54 - 2\/9. Let t(y) = -y**3 + 10*y**2 + 3. Let z be t(v). Solve z*d = d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1368 and -6.18?\nAnswer: 8454.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -808*k**3 + 822*k**2 - 2. Let l(h) = 1611*h**3 - 1645*h**2 - h + 5. Let j(v) = 5*a(v) + 2*l(v). Solve j(p) = 0.\nAnswer: 0, 1\/409, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3747507.89 rounded to the nearest 10000?\nAnswer: -3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c*w**3 + 23*c*w - 2*c - 161*w**3 + 10*w**2 - 39*w wrt w?\nAnswer: 12*c*w - 966*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 9*x + 6. Solve -x*q = -3*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -148 + 148 + 12*f - 13*f. Let v(p) = 4*p**2 + 3 + 0*p**2 + 5*p**2 - 2*p**2. Give x(v(r)).\nAnswer: -7*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 991111 is divided by 2279.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1738078300 and 700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 310258 minus -0.2?\nAnswer: 310258.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.025700757 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 - 21 = -33*r + 42*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*m + 13*m + 4*z - 32, 5*z = 25. What is the nearest to -2\/3 in -17, m, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -o**5 + 2299*o**4 - 243*o - 28.\nAnswer: -20*o**3 + 27588*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7271023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*v + 6114 = 211*v - 6809 - 7756 for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**3 + 4*l**3 - 5*l + 6 + 0*l**3 + 5*l**2. Let w be y(4). Let c = 4.6 - 5. What is the nearest to -2\/9 in c, w, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3161435, -6322869, -9484313, -12645773, -15807255, -18968765?\nAnswer: -22130309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 92094 smaller than 92083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5495727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 9*y + 22. Suppose y*d - 26 = -2*d + 2*b, -3*d = 3*b - 6. Solve 9 = -2*s + d*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76093, 152169, 228245, 304321?\nAnswer: 380397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0*p - 58 = 0. Suppose -k = -3*k + p. Suppose -k = 5*f - 74. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1830\/7 + -33703\/126. Does i = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 0.1, 0.024 in descending order.\nAnswer: 0.1, 0.024, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*j + 147 = 227 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.130802nm to kilometers.\nAnswer: 0.000000000009130802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kekllellkkeeekee. Give prob of picking 2 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {d: 2, e: 2, h: 1, l: 8}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 17982, -5, -124 in decreasing order.\nAnswer: 17982, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-100)*-5*(-1020)\/(-1275)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3059 + 3059 - 92*x**3)*(0*x - x - 2*x)*(432 - 432 + 8*x).\nAnswer: 2208*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1, 84 in decreasing order.\nAnswer: 84, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h + 2. Let c(l) = l + 3. Suppose d + 2 = -i, -d + 0*d + 5*i - 8 = 0. Give d*j(y) + 2*c(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 18 + 116 = -28*u, -u - 2*z + 7 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 4*v + 699. Calculate m(-79).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -38 - 37.0894307\nAnswer: -75.0894307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 700*l**2*m - 3081*l**2 + m**2 wrt m.\nAnswer: 700*l**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.92896 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6906 and -0.075?\nAnswer: 517.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.700524 kilograms in micrograms?\nAnswer: 9700524000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(1584) - -1*sqrt(1584)*-1)**2 - (5*(-4*(sqrt(1584)*-5 + sqrt(1584)) - sqrt(1584)))**2) + 2)*-5.\nAnswer: 44549990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 32*w**3 - 3*w**2 - 3*w + 5. Give g(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1491*p**3 - 1489*p**3 + 6928*p**3 - 2442*p**3 - 1494*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k**3 - 4*k + 4. Let g(d) = -9*d**3 + 8*d - 5. Let s(b) = 19*b**3 - 17*b + 10. Let u(c) = 7*g(c) + 3*s(c). Determine -4*u(i) - 5*x(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10120 + -222?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2531.7 + -2532. Which is the nearest to -2\/5?  (a) 3\/5  (b) i  (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/396 and -143\/252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*m + 399 = 34*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(3\/5)*p\/(p*p\/(p**(-5)\/p)))\/(p*p**(2\/5)*p*p**(2\/13)))\/(p\/(p**(-3\/4)*p)*p**(4\/7)*p)**41 assuming p is positive.\nAnswer: p**(-189521\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of 2*j**6\/15 + 3*j**5\/5 + 2*j**4\/3 + 10*j. Factor x(l).\nAnswer: 4*l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18274.\nAnswer: 2, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*d - 2. Let k(c) = -c**3 - 5*c**2 - c - 3. Let a be k(-5). Suppose 5*i = a*z + 26, d = -i - 4*z - 3. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*y**4 + y - y)*((0 + 0 + 1)*(4*y - 2*y + 17*y) + (-1 + 1 + 2*y)*(-4 + 0 + 2) + 1 - 1 + y).\nAnswer: -208*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of c**3 + 9*c**2\/2 - 23. Factor a(i).\nAnswer: 3*i*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b. Let t(w) = 1007*w**2 + 2 - 276*w**2 - 119*w**2. Give t(o(x)).\nAnswer: 612*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1536 and 24?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 888798 or 888741?\nAnswer: 888741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 3*m**2 - 4*m - 10. Let x be n(-3). What is the first derivative of 345*a**2 + 79 - 44*a**2 - 80*a**x + 61 wrt a?\nAnswer: 442*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1444160516 divided by -6\nAnswer: 722080258\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 124*b - 224. Let d be a(2). Let h = -1 + 3. What is the derivative of 6 - 20 + 6 - 20 + d*y**h wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -8. Let l(k) = -k**2 + 17*k + 8. Let o be l(x). Suppose -2*c - 4*q + 64 = 3*c, -3*c + 5*q = -o. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, u: 1, o: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1833*l + 1828*l = 2*b + 21, 147 = 4*l - 11*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -15  (b) 20  (c) 2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1539)*-1 + 0)**2 + (2*sqrt(1539) - sqrt(1539)) + 3.\nAnswer: 9*sqrt(19) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmqmmmammqaqqmmmqqqm. Give prob of sequence mqaa.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.90882ml in litres?\nAnswer: 0.03890882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**6\/900 + m**5\/60 + m**4\/10 + 5*m**3 + 70*m. Let s(n) be the second derivative of d(n). Factor s(t).\nAnswer: 2*(t + 2)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 2, 1, 501\/4045, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*q - 20 = -59*q. Suppose -q*h + 21 - 1 = 0. Solve h*k = 5*s + 2, -k + 2*s + 4 = 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*n**2*z**3 + 2*n**2*z + 2*n + 878*z**3 with respect to n.\nAnswer: -6*n*z**3 + 4*n*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = l + 5, 2*l + 12 = d. Solve -3 = -w + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**6\/15 + t**5\/20 + 125*t**3\/3 + 6687*t**2\/2 - 2*t + 1374. Differentiate v(k) with respect to k.\nAnswer: -8*k**3 + 3*k**2 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24740 (base 16) in base 3?\nAnswer: -21120211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 648, 649, 650, 651, 652?\n\"Answer: s + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -39*t - 3. Let a(p) = -14*p - 1. Let i be (4 - 10)\/(-6) + (-36)\/2. Let m(h) = i*a(h) + 6*x(h). Let l be 10\/(-25) + 3\/(-5). Give m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**3 - 2*s**2 - 5*s - 2. Let y be t(4). What is y rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (11 + 5 + -4)\/((-4)\/(-6970))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -21 - (622 + -606)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.073 - -432202527.\nAnswer: 432202526.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Express -7*j**3 + 3*j**2 - j**3 - 2*j - 19 + 21 in the form p*j**3 + k*j + x*j**2 + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, l: 1, e: 2, a: 1, p: 1}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*a - 59. Suppose -146 = -15*r - a. Solve 3*l + r = -0*h + 2*h, -4*h + 3 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -11*u**3 + 4*u**2 + 7*u - 5. Let s = -38 + 43. Let o(n) = 5*n**3 - 2*n**2 - 3*n + 2. Give s*o(j) + 2*z(j).\nAnswer: 3*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -d2cea (base 15) to base 7\nAnswer: -5450632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*y = -30*y - 1224. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 54 divided by -116394\nAnswer: -9\/19399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/4727595 and 25\/2439?\nAnswer: 14182785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1280 divided by 256\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 12877 (base 9) to base 15\nAnswer: 28c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0 - 7 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-260)\/(-55)*308*1\/168?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 - 20 = 3*u - 5*v + 140, 0 = -2*u - 14*v + 494 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 1:12 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 12:44 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -42 - -34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(3\/25))**(-7\/2)*(y**(-1\/4)\/y)\/y**(2\/7))**43 assuming y is positive.\nAnswer: y**(-58867\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19207 + -12575. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of 165*l**3\/2 + 739*l**2\/2 + 422*l. Find the first derivative of f(a) wrt a.\nAnswer: 495","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of -r**3\/6 + 3*r**2\/2 + 2*r. Let k be d(1). Let q be 3*(9\/3 - k). Solve -q*a + 2 = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37562277*a**5 + 52*a**2 - 48670*a?\nAnswer: -2253736620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11076  (b) -1  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 1:05 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {j: 2, a: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) -9  (c) 1  (d) -1  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -4. Let r = q - 1.7. Let g = -0.06 + 0.46. Which is the third biggest value?  (a) r  (b) -1\/10  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/642318 and -62\/939?\nAnswer: 201045534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19935, -19936, -19937, -19938, -19939?\nAnswer: -19940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (106*t**3 + 49*t**3 - 31*t**3)*(-4 + 3 + 3)*(1 - 1 - 2) to r*t**2 + u*t + x*t**3 + y and give x.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 89101875 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38369222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -62, -240, -532, -944, -1482, -2152, -2960?\n\"Answer: -c**3 - 51*c**2 - 18*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 = -5. Let g = -11 + 14. Calculate the remainder when ((-2)\/x)\/((-10)\/(-15)) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -12. Sort n, -3, 3 in decreasing order.\nAnswer: 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 + 33*h - 98. Calculate o(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z + 65 = -5*u, 32*z - 66*z + 4*u = -37*z - 72 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.013716984 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 54279956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 - 3*b**2 - 3*b + 1. Let u be j(-3). Let h be (-6)\/4*u\/(-15). Solve n + 3 - h = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j = 11*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**5 - 268*h**4 - 2*h**3 + 268*h**2 = 0.\nAnswer: -1, 0, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*v - 21 - 69. Let f = v + -11. Solve -4*y - 3*k + 0*k = -6, -5*y + f*k = -23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7025799031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**0\/f*f*f)\/(f\/(f*f**(2\/13)\/f)))\/(f**0*f**(1\/4)))\/(f\/f**(-5)*f**3)**(-2\/15) assuming f is positive.\nAnswer: f**(287\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 15*r**2 + 743851*r\/10 + 4959\/10 = 0.\nAnswer: -4959, -1\/150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/1911, 2, 0, 1\/9, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*v**3 + 3*v + 5*v**3 - 3*v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2414093.\nAnswer: 11, 219463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**10*n\/n**(2\/5)*n\/n**(-1\/7)*n**(-3) assuming n is positive.\nAnswer: n**(306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1756521817*u + 1756521817*u - 33*u**3.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-6)*0\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 + 1 = 24*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -4.02.\nAnswer: -0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12950 divided by 175.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from yyyyhyyyyyyyyhhyyyyy.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*a - 19*a + 14*a)*(a + 2*a + a) + (3*a + a + 0*a)*(-3*a - 2 + 2).\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/12 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 3*i = -132561, 3*i - 112146 - 64588 = -4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3277217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2514001 - -9?\nAnswer: 2514010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-15) - (-2298)\/15. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -r**2*v**2 - 89*r**2 + 6*r*v - 15308*v**2 wrt r?\nAnswer: -2*r*v**2 - 178*r + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -5*b + 18. Let x(d) = -9*d + 36. Let z(t) = -7*r(t) + 4*x(t). Calculate the least common multiple of z(8) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 4*l + 2*r + 2, 2*l + 10 = -3*r. Which is the closest to -7\/5?  (a) l  (b) 2\/21  (c) 0.5  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + 4 - 18*c - 23 - 20*c.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 634*x**2 - 1305*x - 21172. What is n(-636)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2289213686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -a + 20, 0 = -2*a - 0*a + 3*h + 12. Suppose a*r + 8 = 4*q + 3*r, 4*q - 2*r - 8 = 0. Let -2*k - q - 1\/2*k**2 = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1741527440?\nAnswer: 2, 5, 21769093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 + 4*r - 1. Let q be h(-3). Let g(x) = -6*x**2 + 25*x + 31. Let z(s) = -s**2 + 5*s + 6. Let d(l) = -2*g(l) + 11*z(l). Give d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 650\/260*((-144)\/210)\/((-1)\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13163 = 43*o - 39*o + 5*v, -3*o = 4*v - 9871. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5 = c, 0 = 3*l - 7*l. Suppose 0 = c*a - 21 + 156. Let z = a + 40. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (1 + sqrt(720))*2 + sqrt(720) - (-2*(sqrt(720) + -1) - (-2 + sqrt(720) + 0 + sqrt(720))))**2.\nAnswer: 168*sqrt(5) + 35281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/3 + (-138)\/9. Let l = a - -22. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3914, 7828, 11742, 15656?\nAnswer: 19570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15461 + -1329371\/86. Let o = 21\/215 - s. What is the common denominator of 1\/(-8)*-25 + 18\/24 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 8176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w - 2. Let a(p) be the first derivative of p**2\/2 + p + 29. Give -2*a(v) - l(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -1\/2, -140\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 3  (b) 1  (c) -9  (d) 760\/17  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/7830 and -137\/32959080.\nAnswer: 98877240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 8946?\nAnswer: 8947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 635 + 449 = 9*x - 298, -2*x - 2*i + 16 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/19095 and -61\/119967520?\nAnswer: 359902560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -9*s**3 + 26. Let j(q) = 13*q**3 - 39. Let y(p) = 5*j(p) + 8*v(p). Differentiate y(b) wrt b.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 126\/10 - 6\/(-15). Let u = w - 11. Suppose -y = 5*c - 173, -2*c + 101 = c + u*y. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 4138 - 4138 + 4*w. Let d(q) = -19*q**2. Calculate z(d(g)).\nAnswer: -76*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b**(3\/8)*b)))\/b**(-28)*b**(21\/4)*b*b\/b**25 assuming b is positive.\nAnswer: b**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 3 = -m, 2*m - m - 4 = -2*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -61 + 71. Suppose -c = 5*i - 14, 0*i + c = -3*i + z. Let r be ((-12)\/(-7))\/(i\/7). What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + b - 44, 0*s - 67 = 4*s - 3*b. Let q(n) = -3*n + 5. Let r be q(-4). Let m = r + s. Let p(w) = -3*w + 2. Calculate p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*r = -40*r + 78*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3743*w - 3598*w - 15905*w**2 + 7341*w to the form f*w + p*w**2 + t and give p.\nAnswer: -15905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 150 + 78 = -5*c, -c - 4*s + 24 = 0 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 13*i**2 - 13*i - 9. Let x be (15 - 1) + (6 - 6)\/(-5). Let a be u(x). Solve 0 = 6*t - a*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1726 and 6.\nAnswer: 5178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 3 - 3)*(0 + 0 + 2*w**4) - 4 + 4 + 3*w**4 + (-16*w + w + 3*w)*(-w**2 - 1 + 1)*((3*w + 0*w - 2*w)*(0 - 15 - 2) + 3 - 3 + 2*w).\nAnswer: -175*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v + 71*v = -654740. What is v rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -118586*m**3*u**2*y + m**3*w + 2*m*u**2*y**2 - u**2*w*y**2 + 3246*u**2*w with respect to w.\nAnswer: m**3 - u**2*y**2 + 3246*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 76485 or 76515?\nAnswer: 76515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 150287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -v**7\/280 + v**5\/15 - 5*v**3\/3 + 6. Let k(m) be the third derivative of f(m). What is the second derivative of k(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8734)\/(-397)*(2\/2)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101000011110101 (base 2) to base 5.\nAnswer: -10230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 23 = -0*l. Suppose -12 = 3*g, -s - l = -4*s + 2*g. Suppose 0 = -v - y, 0 = 4*v - 5*v + 3*y - 12. Put s, 0, v in decreasing order.\nAnswer: s, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -222 - -222. Suppose -7*s + 38 + 39 = f. Let z(t) = 2*t - 24. Give z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - (16 + -13) - (-3 + -3) - 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j**3 - 5*j**3 - 629276*j**2 + 4*j**3 + 8*j**3 + 629276*j**2.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10532107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 21*l + 19. Let n(m) = -m**2 + 20*m - 21. Give -4*j(a) - 3*n(a).\nAnswer: -a**2 + 24*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -640 + 0?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l**2 + 103*l + 204. Let d(m) = -m**2 + 68*m + 136. Let z(o) = 7*d(o) - 5*w(o). Is 12 a factor of z(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11204461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 2*r - 15, -3*i + 0*i = 2*r + 5. Let t = -1 + 0.6. Let o = -0.3 - t. Sort o, -4\/7, i in ascending order.\nAnswer: i, -4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19415023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -1\/3*m**2 + 20\/9*m**3 + 1\/6*m**4 + 29 - 20\/3*m. Factor g(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, q: 1, r: 3, v: 7, m: 4, k: 2}. What is prob of sequence kjvk?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 6:11 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1458\/(-4)*(-2)\/(-12). Let c = -54 - q. Let g = -28\/95 - -3538\/1045. Find the common denominator of c and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.424 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 54819 divided by -18273\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 3. Let x = 4.0668 - 0.0668. Which is the closest to 0.1?  (a) x  (b) r  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -2, 3 in descending order.\nAnswer: 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j + 6. Let x(h) = -1. Let n(v) = -81*v + 160*v + 25 - 76*v. Let t be n(-10). Give t*x(r) - a(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.682067 to 0 dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**3\/3 + 210*q**2 - 3995*q\/3 - 1540.\nAnswer: 5*(q - 7)*(q + 1)*(q + 132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in 0.4, -0.07, -22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3379793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*q + 19 = -43*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 577997 is divided by 577985?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*u - 21, -4*u + 19 = -1. Let m be 1*n\/(-5 + 2). Put 1\/4, m, -3\/4 in increasing order.\nAnswer: -3\/4, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/5, 489, 0, -0.156?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 498 a factor of 68658949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 10 = 2*s. Let r be s*(-1 + (-11)\/(-5)). Solve -4*l + 6 = -r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 51 = -1251. Let b be (-40)\/n*(1 - 4). Let c = -35\/627 + -2\/57. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**5\/60 - j**3\/6 + 2*j**2. Let t(a) = -2641 - 4*a + 42*a**2 + 2606 + 4*a. Give -t(b) + 35*u(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 6 = 4*t - 1, -t - 22 = -5*p. Suppose -21 = 4*f - p. Let i(a) = -2*a**3 - 7*a**2 - 3*a + 4. Calculate the remainder when 94 is divided by i(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37300 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-62)\/(-14) - (-8)\/14. Let t(q) = 7*q**3 + q**2 + 5*q + 5. Let n(l) = 3*l**3 + 2*l + 2. What is v*n(w) - 2*t(w)?\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - 2059\/(-87)) + (-801)\/27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from {a: 3, z: 3, f: 6, h: 1, l: 1, g: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 81029.47 years in millennia?\nAnswer: 81.02947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-55) - (-6)\/(-33). Suppose 5*n - 2*k + 196 = 0, 3*k + 7 - 1 = g. Round n to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 1:43 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, z: 2, s: 2, p: 2, f: 1, n: 2}. Give prob of picking 1 z, 2 c, and 1 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 0.53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(684) + -5 + sqrt(684))*-5 + sqrt(684) + sqrt(19)*-2*-3 + (sqrt(76)\/(sqrt(12)\/sqrt(3)) - sqrt(19)))*6.\nAnswer: -288*sqrt(19) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) 4  (c) 1\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.78514 kilometers in centimeters?\nAnswer: 1978514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + 1*sqrt(1900) + sqrt(1900) + 2.\nAnswer: 3 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0627697 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/10302692 and 17\/14.\nAnswer: 72118844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dteitiddddtyiceyydd. What is prob of picking 1 i and 2 e?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(13) - (-1 + sqrt(637) + sqrt(637) + sqrt(13)))*-5.\nAnswer: -8 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 14*k**2 - 5*k - 5. Let z(r) = 12*r**2 - 4*r - 5. Determine 3*j(y) - 4*z(y).\nAnswer: -6*y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -511*a - 995. Give w(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 14*y. Let b(q) = -3*q**2 - 25565. What is b(i(x))?\nAnswer: -588*x**2 - 25565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.2 - 5.3. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 72134069*y**2 + 33*y - 1692628 wrt y.\nAnswer: 144268138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/3  (b) 3  (c) 203  (d) -0.1  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus 25.86?\nAnswer: 25.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + d**2)*(12 + 3*d**2 - 49*d + 24*d + 21*d).\nAnswer: 3*d**4 - 4*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + -17 - (-146 - -64)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2433 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -5  (b) 0.4  (c) 2  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 + 5*m - 3. Let h be q(3). What is the third biggest value in -3\/4, h, 2\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 465 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-1 - 0) - -1. Suppose 3*l = -3*q + 4*q - 1, -q - n*l + 6 = 0. Let a be (4\/5)\/(q\/10). Which is greater: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.027899795 to four decimal places.\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1017196877 to the power of 1\/3, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16255661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 16*z - 9*z. Solve z = -0*w + 2*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 0*p - 4 = -2*d, -2*p + 6 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*f)*(-4*f + f + f)*(-624*f + 77*f + 123*f).\nAnswer: 1696*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6583 + -1795. What are the prime factors of v?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21 + 6. Let m = n - -10. Let p(h) = h**2 + 6*h + 4. Let k be p(m). Sort 0.1, k, 3\/4 in increasing order.\nAnswer: k, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/(5*sqrt(10)\/sqrt(5)))\/((-1*sqrt(33))\/sqrt(3) + -4*sqrt(22)\/sqrt(2)).\nAnswer: -sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*1*sqrt(1331) + 3 - -1*(-3 + sqrt(1331) + sqrt(1331) + -4)) + 3)**2.\nAnswer: -110*sqrt(11) + 33276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 6*s**2 - 6*s - 6. Give h(-4).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + f = -11*d + 4402, 2930 = 2*d - 4*f. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - m + 21. Let k be z(0). Suppose -k = x - 1. Let w = -11 - x. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10*(-1 - -7)\/3. Suppose -a = -2*j - 6. Solve -4*h - j = 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + -5781?\nAnswer: -5771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -2*z - 28, -5*f - 12 = -7*f + z. Let g(y) = 2458*y - 39. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 9*o**3 - 7*o**2 + 5*o. Let k = 9 - 4. Let r(v) = -13*v**3 + 10*v**2 - 7*v. Let c(w) = k*r(w) + 7*t(w). What is the third derivative of c(a) wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(35\/25)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**7\/315 - j**6\/60 + 44*j**5\/45 + 104*j**2. Suppose l(n) = 0. Calculate n.\nAnswer: -11, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 10530.103 and -2180.6638.\nAnswer: 8349.4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/19206 and 53\/4224.\nAnswer: 1229184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 132524471 to the nearest integer?\nAnswer: 11512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -7*j + 471. What is the remainder when h(30) is divided by 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 10:06 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/1170)\/(((-1)\/10)\/((-3)\/6)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-862*p - 1280*p - 148*p)*(-2 - 8 - 9) to the form w*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*j - 4. Let k(c) = 2*c**2 - 3*c + 1. Let t(b) = b - 1. Let p be t(3). Let m be k(p). Is m at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, 10, 2, 1\/4, -1\/2 in descending order.\nAnswer: 82, 10, 2, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9527230 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*((-84)\/9)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1472940 and 270540?\nAnswer: 13256460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -60 and -4881164158501?\nAnswer: 4881164158441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 857*o + 89 = 854*o, 2*l + l - 13*o - 400 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -44.965 times -3\nAnswer: 134.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 15. Let p(z) = z**3 - 8*z**2 - 11*z + 9. Let k be p(9). What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -664 - -523.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4748, -30.3, 0.5 in ascending order.\nAnswer: -30.3, -1\/4748, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1755282 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1243827*f + 1243828*f = -2*q - 8, -3*q - 510 = 126*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -409 (base 13) in base 14?\nAnswer: -36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 2 + -4 - -1505871. Let a = h + -1065868. Round a to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33\/2 - 107\/6. What is the third smallest value in m, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = 4*x. Let z = x + 21. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 77*t**4 - 8*t**4 - 44*t**4 + t wrt t?\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -938009570 - -938009547.99999935. Let p = -0.23 + -21.77. Let d = p - k. What is d rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*k**2*m*x**3 + 108847*k**2*m - 2*k*m*x**3 + 6*k*m*x - k - 27*m*x**3 + 309*x wrt k?\nAnswer: 10*m*x**3 + 217694*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, m: 4, x: 6}. What is prob of picking 3 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zi when two letters picked without replacement from mmmimzzzzzszmizzmm?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6322 + -6322. Which is the closest to x?  (a) -24  (b) 1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(343)*1 + (1 + (sqrt(343) + 1 - sqrt(343)))**2 + -4*(sqrt(42)\/sqrt(6) - sqrt(7))**2*-3*5.\nAnswer: -35*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**5 + 2*a**5 - 3*a**5)*(74 - 44 + 88)*(4 - 3 + 0).\nAnswer: -236*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -816*g + 13858. Calculate h(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-5*3*((sqrt(17) - sqrt(136)\/(sqrt(8)*-1)) + 3).\nAnswer: -90*sqrt(17) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5f (base 16) to base 14.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.543448 months in decades?\nAnswer: 0.1961954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14454135 - -3?\nAnswer: -14454132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1536 = 116*s - 84*s. Is -1099\/23 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = u - 33466, 0 = -2*z + 72*u - 68*u + 66908. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 1 = -0. Let k = 0.09 - -0.11. Sort i, k, 0.5 in descending order.\nAnswer: i, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q. Let z(t) = -44*t. What is o(z(c))?\nAnswer: 88*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 10:36 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1130 + -213333220?\nAnswer: -220001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m**3 - 4*m**2 - 8*m - 31. Let x be u(-5). Let t = x - -996. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.2 minus -270?\nAnswer: 312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 26 = -42. Solve -2 = -2*a + 2*j, j = 4*a + 4*j + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(396) + 2) + (1 + sqrt(1584))**2*6.\nAnswer: 168*sqrt(11) + 9518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, x: 1, n: 1, s: 1, b: 3, i: 5}. What is prob of picking 1 x, 1 s, and 2 i?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 536839 and -39.\nAnswer: 536800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjbb when four letters picked without replacement from wbbjbjbjwj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33.02192 - -2125.\nAnswer: 2091.97808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*c - 159*c - 5819 = 0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 7*w**2 - 3*w + 3. Suppose 238*y - 240*y = -14. What is n(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n**2 - 6*n**2 + 6*n**2 - 3 as u*n + y*n**2 + a and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 14*t**2 + 8*t. Let x be n(13). Let l = x + 96. Which is bigger: 24 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*m + 132 = -42*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2. Let t(u) = 1 - 28362*u + 27953*u - 1. Determine y(t(a)).\nAnswer: -167281*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 23 + -12 - 3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 179 and 8065382?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oowi. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 0*b + 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 783 = -3*m, 0 = -4*l - m - 2*m + 801. What is the highest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -27*i - 12. Let y = 12 - 18. Is g(y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 163.6913 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 528*l - 1580. Let p be q(3). Sort 28, p, 2, -2, -4 in increasing order.\nAnswer: -4, -2, 2, p, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 9*k - 11*k + 10 = 0, -5*k = 0. Let g(o) be the third derivative of -1\/300*o**5 + 0*o - 1\/15*o**3 + 1\/40*o**4 - o**b + 0. Factor g(x).\nAnswer: -(x - 2)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425 is divided by 219.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 67.8, 5, -1, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3998914 divided by -6\nAnswer: 1999457\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3417 - 25754777\nAnswer: -25751360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 145992?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2135.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -34. Suppose -s = 3*x + x + h, 2*s + 14 = -2*x. What is the third smallest value in x, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/21, -2\/9, 1, -1, 0.100773, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/11632173 and -8\/10245?\nAnswer: 58160865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -2*k**3\/3 - 2*k**2 + 1485*k. Let h(b) = -5*b - 5. What is 2*h(z) - 3*x(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 365*j. Let b(f) = -1325*f. Give s(b(y)).\nAnswer: -483625*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -44 - 225\/8*j - 1\/24*j**3 + 15\/8*j**2. What is b in c(b) = 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-35)\/10)\/(1\/(-3)). Let y = s - 41\/4. Let j = y + 1\/4. Sort j, -6, 3\/5.\nAnswer: -6, j, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -10. Let k(w) be the second derivative of -w**5\/20 - 17*w**4\/12 + 5*w**3\/3 + 11*w**2 + w + 1. Is k(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -86267 * 0.045.\nAnswer: -3882.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by (8\/20)\/(8\/1 - 256014\/32010).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1383*s**3 - 967 with respect to s.\nAnswer: 4149*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 12*b - 13. Let p be r(-10). Suppose -12*s + p*s + 1275 = 5*j, 0 = j - 2. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7486 and 472406?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y. Let d(n) be the third derivative of 7*n**5\/40 - 5*n**3\/2 - 13*n**2. Let k(r) be the first derivative of d(r). Determine k(x(w)).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 843738 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -797 divided by -170769.\nAnswer: 797\/170769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9519711 - 26.82298.\nAnswer: -28.7749511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98) + sqrt(98)*1*-4)*-5*6.\nAnswer: 630*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9882 - 9882. What is the nearest to -2 in g, 3, 2\/69?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 + 63*k**2 - 373*k - 88. Determine i(21).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + (-154)\/(-8) - 10\/40. Solve 2*g = -2*b - b - 15, 4*b = -t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -4 + (-6 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (l + 0 + 0)*((-4 + 3 + 4)*(23 - 8*l - 23) - 4*l + l + 2*l)*(0 + 0 + 3)*(-2 - 1 + 1) as p*l**2 + y + o*l and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -357, -4174, -10541, -19464, -30949, -45002, -61629?\nAnswer: -80836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2318.5 - -2318. What is the closest to -35 in h, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3 + 34*s - 13*s - 11*s - 13*s - 7*s. Calculate t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7432 + -729. Let l = -5070 - n. Let i be -6*(l\/(-3) - 3). Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3222580698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012972068537 rounded to 4 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-21) - 24\/14. Let k be ((-3)\/m)\/((-2)\/(-20)). Let d = -11 + k. Sort 5, 0, d in ascending order.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from fwfxfwwwpwwwhpwwf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -15510, -16496, -17484, -18474, -19466, -20460?\n\"Answer: -a**2 - 983*a - 14526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14131709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 less than -125524556?\nAnswer: -125524576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0\/(s*s*s*s**(-6)))**43*(s**(4\/3)*s)\/(s*s**(-2\/3)*s)*(s*s**(-1\/2)*s*s)\/s**(-2\/23) assuming s is positive.\nAnswer: s**(6099\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6392 - 5*l**3 + 2*l**3 - 802 + 6151.\nAnswer: -3*l**3 + 11741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 + 8.40731711.\nAnswer: 29.40731711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r. Let q(o) = -4*o - 21*o**2 + 4*o - 23*o**2. Determine d(q(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 383487.\nAnswer: 3, 13, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 13201 and 0.2.\nAnswer: 13201.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 4*n - 12, n - 16 = -4*q + 4. Suppose 0 = -2*g + 6, -3*g - 2*g = -5*k - 65. Let l(y) = -y + 8. What is the remainder when l(k) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1097283.\nAnswer: 3, 11, 41, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 5:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.107 and -778659.75313.\nAnswer: -778659.64613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -2*m + 5*s + 24, 4*s = 16. Suppose 0 = -m*k + 5677290 - 483290. What is k rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e + -253823?\nAnswer: -253814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**4\/6 - 543*z. Let s(h) = -2*h. Calculate s(x(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**6\/45 - x**5\/6 + x**4\/2 - 7*x**3\/9 + 2*x**2\/3 + 11*x. Find q such that d(q) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13.7 and -316.\nAnswer: -302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 19 = -2*w - 2, -5*i + 5*w = 0. Let d be (1 + -2 + i)*(0 - 4). Suppose -20 = -d*s + 28. Solve s*f - 10 = r, f + 2*r + 10 - 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -188282, -3 in increasing order.\nAnswer: -188282, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, p: 2, y: 5, n: 6, j: 2, b: 1}. Give prob of sequence qyb.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 61105328*q - 41870723?\nAnswer: 61105328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 689793 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 539433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/99 and -79\/15.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 6*a - 5*a - 22 - 2*a - a. Let t be i(-10). What are the prime factors of (-1)\/(471\/237 + t)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*o - 2*i = -101*o + 19, 6*o + i - 48 + 71 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -686*f*x**4 - f*x - 495553*f + 980*x**4 - 5*x**2 - 15*x wrt x.\nAnswer: -8232*f*x**2 + 11760*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1445.8824 microseconds to hours.\nAnswer: 0.000000401634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44*l**5 - 67*l**4 + 15681*l**2 wrt l.\nAnswer: 2640*l**2 - 1608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21 + 42. What is the highest common factor of 231 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -341670 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*t = -23 - 41 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 292 and 62716198?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 5*r**2 - 2*r + 2. Let v be o(-5). Let f = v - -54. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of x**3\/3 + 7*x**2\/2 - 17*x. What is j(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 8.7, -0.2, 5804931?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 23019725, 46039419, 69059113, 92078807, 115098501?\n\"Answer: 23019694*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(98) + 1.\nAnswer: 4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -5*z + 3*d, -54*z - d - 13 = -58*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-2))\/(2\/4). Let t be (-3 + (2 - -3))*2. Let o = t + l. Solve -a = -2*a - o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 8 + 3)*(4*t - 3*t + 0*t) - t + 7*t + 32*t)*(t**2 + 0 + 0) + 400*t - 2*t**3 + t**3 - 400*t.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.64839 millennia in centuries?\nAnswer: 316.4839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 55*j + 2. Calculate the remainder when a(2) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -32. Let y(o) = -p*o + 4 - 5 + o**2 + o. Suppose 3*g - 17 - 4 = 2*w, 2*g + 5 = -5*w. Give y(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -1 in descending order.\nAnswer: 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 517128983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10922*n - 5103*n - 5474*n.\nAnswer: 345*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472528.\nAnswer: 2, 7, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13659386 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: Let p(r) = -24*r - 247. Calculate the remainder when p(-16) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/25)\/l)**(-11\/3)\/((l\/l**(-25))\/l**(2\/13)) assuming l is positive.\nAnswer: l**(-7113\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5182585 is divided by 69101.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 43*u**2 + 2. Let l(n) be the second derivative of n**4\/6 - 202*n. Determine k(l(v)).\nAnswer: 172*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78.3 - -124. Let o = p + -46. Which is smaller: 7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2988)\/1743)\/(-2 + (-25)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/6088 and -11\/77622?\nAnswer: 310488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d**3 + 4*d - 1. Let n(y) = 14*y**3 + 2*y**2 + 18*y - 5. Calculate -9*a(i) + 2*n(i).\nAnswer: i**3 + 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1289695468 to the power of 1\/2, to the nearest integer?\nAnswer: 35912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -108473*j**4 - 229*j**3 - 39590734*j**2 + 2.\nAnswer: -2603352*j - 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -30, -35, -42, -51, -62?\n\"Answer: -r**2 - 2*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d = -11*d - 35*d + 803 - 4391 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18567435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.18*-136\nAnswer: -24.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*z. Suppose z = c + 2*c. Let n be (-3)\/7 - (0 + 0). What is the nearest to c in 0.2, n, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6)\/v)\/v**5*v**(-6\/11)\/(v\/(v\/(v*v**(4\/5)))) assuming v is positive.\nAnswer: v**(-789\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 829 divided by 829.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 184 - 184. Solve 2*h + h - 15 = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 575*h**2*k**2 - 65*h*k**2 + k**2 - 434*k + 4 wrt h?\nAnswer: 1150*h*k**2 - 65*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 97415, 194831, 292247, 389663?\n\"Answer: 97416*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6260961 is divided by 189725?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 - 36 = 258*m - 5 - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 81481727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -735, -739, -743?\n\"Answer: -4*o - 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10632 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 579 - 594 - (2 + (3 - (12 + 2)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3238105613 - 13*y**2 + 3238105613.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -1487.\nAnswer: -5948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 8*u**2 + 5*u - 4. Let v be f(-6). Let d be (-587 + 17)*1\/(-2). Suppose -242*b + d = -237*b. What is the greatest common divisor of v and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - 1)\/4*0. Let v be (0 - 67)*3\/6. Let m = 33 + v. What is the closest to a in -0.2, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 3*r**2 - 5*r - 28. Let n be m(5). Let y = n + -92. What is the lowest common multiple of y and 45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p + 2*p - p**2 + (5 - 3 + 0)*(-3*p**2 + 3*p**2 + p**2) - 4*p**2 + 4*p**2 - 2*p**2 - p.\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(567)*-2 - (sqrt(7) + sqrt(175)*6)) + -2 + (0 + sqrt(63) - sqrt(63))*3)**2.\nAnswer: 490*sqrt(7) + 16832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r + 31 + 69 = r. What is the second biggest value in -0.0191, r, 0.1?\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7960*i + 4241*i + 25681*i + 12475*i.\nAnswer: 34437*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**3 + t**2 + t + 4. Let f be z(2). Let r = f + 101. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 247*r - 15563. Determine l(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 - -31. What is the lowest common multiple of k and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.759 - -0.041. Let w = -1.5 - k. Round w to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/8*2016\/(-36540).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 0\/1 + 4. Suppose -4*w + 1 = -m. Determine x, given that 3\/2*x + w + 0*x**2 - 1\/2*x**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o + 33. Let q(x) = 2*x + 2. Determine k(w) + 3*q(w).\nAnswer: 4*w + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((y**(2\/25)\/y)\/y)\/y)\/y*y*y)\/(y**(-7\/4)\/y))\/((y*y**(-4))\/(y\/(((y\/(y\/y**(-13)))\/y)\/y))) assuming y is positive.\nAnswer: y**(1983\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 51 = f, 2*v + 2*v = -2*f + 70. Let y = -6 - 2. Let g be 4\/v + (-30)\/y. Solve 0 = g*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2 + 3565*v + 5266950.\nAnswer: -5*(v - 1443)*(v + 730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*b + 6. Let o be (-1)\/(3\/(-12)*2). Let n = 13 - o. What is the smallest common multiple of b and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1406049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -134*f - 168*f + 4 - 7.\nAnswer: -302*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 7) + -12 + 11 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**2 + 11. Let y(w) = -7*w**2 - 5. Let h(o) = 3*o**2 + 2. Let v(a) = -5*h(a) - 2*y(a). What is d(v(u))?\nAnswer: -2*u**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 5, -27, -4.\nAnswer: -27, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a - 42*a**4 + 2*a + 44*a**4 - 9*a**2 + 3 - 4 as f*a**2 + t*a**4 + z + l*a**3 + r*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 33*i**2 - i + 2. Suppose -8*r + 9 = -7. Let f be w(r). What is the greatest common factor of 88 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 36 - 8 - 6 - 12 + 148490*f - 148487*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 7:41 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3*(-4)\/(-6)*-26 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != -34\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 82 - 58. Calculate the remainder when 69 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 13*t**2 + 2. Let q be y(-13). Suppose -2*f = q*b - 245 - 363, 4*f = 3*b - 947. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 481368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1157921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*i**5 - 20*i**4 + 33*i**3 - 7224*i**2 + 7*i.\nAnswer: -240*i**2 - 480*i + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (2 - (7 + -2 + 0 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4*z + k = -7, 4*z + 5*k = -7. Let l(c) = c**3 + 2*c**2 - 2*c - 1. What is l(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.590377451 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/49)\/((-9)\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (108\/348)\/((0 - -3)\/(-3)). Is i greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 9, b: 1, w: 2, x: 1}. Give prob of picking 2 w, 1 x, and 1 f.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5290, -46\/3.\nAnswer: -46\/3, -3, 5290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 11*s**2 - s - 10. Give p(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/7*0\/(-1). Let o = 68 + -53. Suppose 0 = 13*x + 2*x - o. Solve -y + x - 4 = z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 8:42 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 220*p - 29. Is x(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -659, -3000, -6863, -12242, -19131, -27524?\nAnswer: -37415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2537079 is divided by 2296.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/(-2*sqrt(3)) + 1.\nAnswer: -sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s, 1 e, and 1 y when four letters picked without replacement from sexssyxeseepsess?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*-2*-2)\/(2*sqrt(99)*-5)*4.\nAnswer: -8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11153 and 7.\nAnswer: 78071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 42\/121, -1, 3\/7, 3, -3\/4 in decreasing order.\nAnswer: 3, 3\/7, 42\/121, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/22 and 46\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/111)\/((-9)\/2))\/(2938\/(-1469))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -2*r + 95, -7*a - 602 = -25766*r + 25731*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 8*n**2 - 11. Let z(t) = -t**2 - 6*t + 11. Let o be z(-9). Let y = 27 + o. Let m(d) = 3*d**2 - 4. Calculate y*m(u) - 4*w(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/5 and -93\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/61, 4356, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4198176255.\nAnswer: 3, 5, 7, 13, 19, 161873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 700803?\nAnswer: 3, 77867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16043638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 8 - 7 = 0, o - 5*g - 34 = 0. Suppose -2*a - 2*a = 0. Suppose a*b = -2*b + 198. Calculate the highest common divisor of o and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1, 2.6, -0.4, -0.2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-45)\/10)\/3)\/(6\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4149.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 2 - 3761*x**3 + 3763*x**3.\nAnswer: 2*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*s + 19*s + 104881. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25270, 25263, 25256, 25249, 25242?\nAnswer: 25235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/17 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*z - 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*r - 33, -4*q + 65 = -r + 38. Solve -5*u = -10, -3*u + 4 = q*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 252 = 418. Suppose -2*c = -5*y - 28 - 13, -5*c = -2*y - d. Calculate the remainder when c is divided by (850\/(-20))\/17*(-5 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 + 2*k - 2. Let p(g) = -7*g**2 - 25*g + 16. What is p(d) + 4*s(d)?\nAnswer: 5*d**2 - 17*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*m = m - 1620. What is the lowest common multiple of 324 and m?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 59, 54, 49, 44, 39, 34?\n\"Answer: -5*b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -x**3 - 24*x**2 + 429*x - 1 wrt x.\nAnswer: -6*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-27) - (-199)\/6*-1306. List the prime factors of 2\/(-6) - d\/51.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -153 - 20*g + 5193*g**2 - 5192*g**2 - 3.\nAnswer: (g - 26)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279*l = -160 - 1235 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.2, -121, 0, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 2*l + 4, -g + 13 = 4*l - 4. Suppose -212 = l*h - 7*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 21*a**2 - 10383*a - 228305. Determine g(-22).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -16, -3, -6, 0.5, 1, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 374850 and 270.\nAnswer: 1124550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28413750?\nAnswer: 2, 3, 5, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 153640 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: What is 130 minutes before 2:36 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.73 - -6.82. Let n = i + 18.61. Round n to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -76, -153, -232, -313, -396?\n\"Answer: -j**2 - 74*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 102568, 102467, 102366, 102265, 102164?\n\"Answer: -101*n + 102669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-80)\/32 - (-71)\/30. Let g be 0\/((-16)\/(-7) - 2\/7). Which is the closest to g?  (a) 3  (b) 4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29618233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83251566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 449 = -h, 3*o = -4*h - 39 + 379. What is the remainder when o is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 times 0.245\nAnswer: 5.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -39?  (a) 5  (b) 0.081  (c) 2\/21  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31\/(-930))\/(10 + 23*(-6)\/18).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51630 - 51628. Let 2*n**w + 3\/4*n + 3\/4*n**3 - 1\/2 = 0. Calculate n.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 7 - 3 + g + 0. Let p(s) = -2*s - 7. Let i(z) = 6*p(z) + 11*r(z). Determine i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.02, 1\/3, -3 in decreasing order.\nAnswer: 1\/3, 0, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13\/506492 or 10?\nAnswer: -13\/506492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 28 + 35. Let a be ((-7)\/(b\/120))\/(-1). Let y = a - -56. What is the least common multiple of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 + -48. Suppose -403 = -4*s - 2*u - 15, 5*u = -g. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130766 greater than or equal to 130761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 356042 a multiple of 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8133700 and 79840?\nAnswer: 65069600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16526424 (base 7) to base 2.\nAnswer: 110001011101001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 11288.6315 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 14*m - 6. Let d be z(-14). Let b be 0 - 0 - (d + 2). Suppose b*v - 6*v + 30 = 0. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 84776.923 + -84779.22299965. Let s = -2.3 - m. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 7 - (7 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12290592, 24581196, 36871800, 49162404, 61453008?\n\"Answer: 12290604*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**6\/120 + 38*c**5\/5 + 2*c**2 - 2*c + 1046. Determine k so that b(k) = 0.\nAnswer: 0, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291846317 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of -38 + 0*d**2 + 73\/6*d**3 - 3*d. Let r(y) = y. Calculate n(r(t)).\nAnswer: 73*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4522782082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*g = 7118, 2*r + 0*r + 4*g = 4732. Let y = r + -1189. What are the prime factors of y?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*i - 68*i = -52. Let o(q) be the second derivative of -4*q**3\/3 - 3*q**2\/2 + q. Let m be o(-2). Calculate the highest common divisor of i and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-1) - 0 - -3. Suppose -9*d + 14 + 40 = 0. Solve -2*m + d*m + 8 = g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2912710 divided by 5\nAnswer: -582542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1691, 21, 3, -2 in descending order.\nAnswer: 21, 3, -2, -1691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 121*n - 15456. Let d be b(130). What is the greatest common factor of d and 14111?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246990?\nAnswer: 2, 3, 5, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 25 = 6*j - 63, 0 = -5*r + 4*j - 32. Let o(w) = -w**2 + 7*w + 1. Let f be o(7). Which is the nearest to -3?  (a) r  (b) -1\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*p = 28*p - 3, 0 = -4*g + 4*p + 84. Calculate the highest common factor of g and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 101037995*z**5 + 24797214*z**2 wrt z.\nAnswer: 6062279700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2103*o - 29622 = -9298 + 38560 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, 86, 290, 612, 1070, 1682, 2466?\nAnswer: 3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -534884 bigger than -534780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-8) + (-21)\/20. Suppose 6 + 3 = -3*w + 3*p, 2*w - 6 = -p. Let l be ((-115)\/35)\/w - -3. Which is the third biggest value?  (a) -2\/11  (b) m  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 10.79. Let s = -1.39 + c. Let b = 1.4 + s. What is the nearest to 0 in b, -3, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1 + sqrt(21)\/sqrt(3) + sqrt(7))*-3 + -5)*4)**2 + (sqrt(14)\/(sqrt(4)\/sqrt(2)))**2*3 + sqrt(21)\/(sqrt(363)*1).\nAnswer: 16897*sqrt(7)\/11 + 5077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + -2 + -1 - -3. Find the third derivative of -j**2 - 6*j**2 + 2*j**2 + 2*j**2 + 2*j**y wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = m + 3*i, -7*m + 2*m + 4*i = 15. Let u be (-25)\/(-9) + 0 + m. Let r be (-2)\/(-1) + 0 + 0. Which is the closest to r?  (a) -3  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338659360.\nAnswer: 2, 5, 13, 23, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g**4 + 3*g**4 + 0*g**4 + (-2*g**4 + 0*g**4 + 4*g**4)*(1 + 0 - 2) + 4 - 8*g**4 - 4.\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.994 + 1.894. Which is the closest to 1\/3?  (a) -1  (b) -3  (c) -0.01  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 10:36 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 350087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 447, 845, 1233, 1611, 1979, 2337?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y. Let g be h(8). Let s be (-3)\/(-7)*(-7)\/g. Let v = 3.1 - 3. What is the closest to v in 3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**0)**21)**(-50) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -4*y**3\/3 + 102. Let f(k) = -6*k. What is f(v(a))?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -30644\/779  (b) -3  (c) 4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 351 = -3*n, 2*n + 6 = -0*n. Suppose r = o + 101, -410*r + 415*r - 517 = 2*o. What is the highest common factor of r and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 3 = -b, -3*z = -b - 2*z + 3. Let j be 0\/((-2)\/1 - -1). Solve -h - h**3 + j*h**3 + 2*h**b = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**4\/9 + 862*j**3\/9 + 30004*j**2\/3 - 563968*j\/9 + 761024\/9 = 0.\nAnswer: -92, 2, 4, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 8 - -6 - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -139?  (a) 1\/5  (b) -2\/19  (c) -0.1  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 0*k = k. Solve k = 11*s - 12*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107 = -4*t - 123 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4697169, 9394345, 14091527, 18788715?\nAnswer: 23485909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17562 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*u = -40*u + 28. Suppose -4*q = 20 - 48. Calculate the highest common factor of u and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1169 or 817?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3173d5 (base 15) to base 16.\nAnswer: -23e862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 78\/12 + (-3)\/2. Suppose 3*s - 7 = 4*q, b*q - s - 15 = -2*s. Solve -2*z**5 - q*z**3 + z - 4*z**4 - z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02212 from 5250716532.\nAnswer: 5250716531.97788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 501057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*c**2*u**3 + 2*c**2*u - 193*c*u**3 - 2*u**3 wrt c?\nAnswer: 80*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 443588*m - 24397354. Calculate d(55).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 243388813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 10:00 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -17*u - 98. What is the hundreds digit of a(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, z: 10, j: 3, o: 1}. What is prob of sequence jwz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1614\/1076)\/(3\/(-50)*-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12994 - 6191. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 29*i**2 - 26*i + 56. Let z be c(-28). Suppose z*d - d = 4*p - 7, 6 = 2*d. Solve 3*l - p = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o + 54*m - 162, 313*o - 4*m = 308*o - 3*m - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) 20  (b) -2\/9  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + 1 + 46\/(-23). Suppose 5*x + 652 = 3*v + v, x - z*v = -128. What is the tens digit of -2 - (2 + x + (-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*f**3*y**3 - 16*f**3*y**2 - 2*f**3 + 4523*f**2*y**3 + 4*f**2*y - 31551 wrt y.\nAnswer: -54*f**3 + 27138*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7 + 21 - 3*z**3 - 5 - 10 + 16*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of i**4\/3 + 170*i**3\/3 - 172*i**2 + 3649*i. Factor k(m).\nAnswer: 4*(m - 1)*(m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, p: 7, z: 3}. Give prob of sequence zcpp.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5963, -5952, -5927, -5882, -5811, -5708?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*m**4*s**2*z - 2*m**4*s + 2*m**4*z - 2*m**2*s*z - 2*s**2 + 6*z wrt m.\nAnswer: -48*m*s**2*z - 48*m*s + 48*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 191010 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5686 = -12*g + 8006. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*b + 3*o, o + 18 = -b + 6*o. Let d be 12\/(-9) + b\/6. Let p = 9\/22 - 5\/22. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(((m\/m**(-2))\/m)\/m)\/m*m*m)**(-8)\/(((m\/(m\/(m**(-4\/3)*m)))\/m)\/m*m\/(m*m*m**(1\/11)\/m*m*m)*m))**(5\/11) assuming m is positive.\nAnswer: m**(-3395\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26007\/34 - -765. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12 - -10)*((-38)\/(-4) + -1). Let x(p) = -p**3 - 17*p**2 + 3*p + 56. Let s be x(h). Suppose s*r + 78 = 3*a, 3 = r + 6. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o + 0*o**2 - 3*o + o + o**2. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/10)\/((-1)\/14*3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b + 8. Let a(p) be the second derivative of 2*p**3\/3 + 4*p**2 - p. Let v(w) = 4*a(w) - 3*q(w). Calculate the lowest common multiple of 20 and v(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -547*a + 6569. Determine u(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 354128 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -8*v**3 + 1075262*v**2 - 1881680*v - 537624 = 0?\nAnswer: -1\/4, 2, 134406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 16*t**2 + 25*t + 65. Let u(l) = -16*l**2 - 24*l - 66. Let x(c) = 3*k(c) + 2*u(c). Let j(r) = 19*r + 37. Let p be j(-3). Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 500 - 498. Which is the fourth biggest value?  (a) l  (b) 1\/16  (c) -0.5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 - -32?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 30*b - 50. Determine p(-21).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-24)\/(-15) + (-2)\/(-5). Let i be (-14)\/(-8) - (-3)\/(-2). Factor 0 + 1\/2*b - i*b**v - 1\/4*b**3.\nAnswer: -b*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 502*r = -629*r + 325*r + 51520 + 50842 for r.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 475891*j + 6662480. What is v(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-6))\/(6\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(100) - -6*(sqrt(100) + (-2*sqrt(100) - sqrt(100))))\/(sqrt(100)\/(sqrt(30)\/sqrt(3))))\/(-3*sqrt(22)\/sqrt(176)*1).\nAnswer: -1 + 44*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 - 62028055*j + 558252900.\nAnswer: -5*(j - 9)*(j + 12405620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -73*i**3 + 2456*i**2 - 23097*i - 3610. Let d(l) = 290*l**3 - 9825*l**2 + 92385*l + 14440. Let p(o) = -4*d(o) - 15*q(o). Find g, given that p(g) = 0.\nAnswer: -2\/13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3*o - 14 = 0, -3*f + f + 3*o + 16 = 0. Suppose -2*v = -f*v + 45. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18035 is divided by 1639.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 (base 16) in base 8?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 4*u - 4. Let v be f(2). Let m be 0\/(0\/(-1) - 1). Suppose -v*q + 5*q - 790000 = m. Round q to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 314189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 7. Let z be (l\/2)\/(-2 - -4). What are the prime factors of z - (-18)\/4*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104489.\nAnswer: 7, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 9 = 4*i, -4*b + 2*i = 4*i + 6. Let p = b + 0. Let g(z) = z**2 - 3*z + 1. Let x be g(2). Is x < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160 divided by -1460.\nAnswer: 8\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -34007873*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-42))\/(4\/(-231))*(-12)\/60*-20.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.26 and -24.\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kly when three letters picked without replacement from {l: 3, y: 2, k: 5, h: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112961?\nAnswer: 37, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 2*j - 4*h - 43, 0 = 2*j - 2*h - 34. Let z be (1\/(-10))\/(5\/j). Let i = -2.5 - -3. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 146.880744 and -0.4?\nAnswer: -58.7522976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 7*9\/189*9*182\/(-21)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -161 divided by -1?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.114 take away -23038?\nAnswer: 23038.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -4  (c) -11.6  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -6849628?\nAnswer: 6849629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11 or 0.0967?\nAnswer: 0.0967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 2*l = 4*t - 15, -2*t - l = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/44))**(-4\/29) assuming h is positive.\nAnswer: h**(-1\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44139146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 7*s**2 + s + 6. Let f = 0 + 1. Let y(m) = -m - 1. Let p(i) = f*v(i) + 3*y(i). Let g(o) = 6*o**2 - 2*o + 2. Determine 5*g(j) - 4*p(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -686566*m**3 - 2*m**2*r*y - 36*m**2*r - 5*m*r*y + m*r + 127*m*y + 43*m + 205*y wrt m?\nAnswer: -4119396*m - 4*r*y - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6215473 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -6\/11  (b) 7.6  (c) -11  (d) 9  (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + 3*d - d)*(2 - 1 + 0 + (-4 + 3 + 0)*(10 - 3 + 4))*(5 - 1 + 8).\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8\/5, -2\/3, 1, -289, 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c6 + -6b?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 3*w**2 - w - 1. Suppose -3*n - 30 = -5*b - 5*n, 3*n - 15 = 0. Give c(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3a88a (base 11) to base 4\nAnswer: 32032323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7816859, -15633720, -23450581, -31267442?\n\"Answer: -7816861*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6006 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 11*r**2 - 3*r - 1. What is u(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 42071.39 millennia?\nAnswer: 4207139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25018466*z**3 + 16564452*z**2?\nAnswer: 150110796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14919.\nAnswer: 3, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -0.2, 6, 0, -2\/5 in ascending order.\nAnswer: -20, -2\/5, -0.2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-3\/16)*g*g\/(g**(2\/15)\/g) assuming g is positive.\nAnswer: g**(643\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 65 = 3*q, 0 = 2*q - q + 3*k - 27. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74280*r + 76182*r = -89394 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -332432*-2646.\nAnswer: 879615072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2042443 (base 5) to base 2\nAnswer: 1000010101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464 + (32\/(-18) - (-4)\/(-18)).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197682437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 399\/9 + 1\/3. Let y = 45 - v. Find r such that y*r**2 + 0 + 0*r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*c + 1\/4*c**3 + 5\/4*c**2 + 0.\nAnswer: c**2*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 56 - (4 - 4) - 3\/(-1). Let g = m - 49. Suppose g*a - 1 = 9*a. Solve -2*h + p + 7 = 0, -2*h + p - 6*p = -a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 4*m - 16, -2*m + 1 = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -391386*s**3 + 294641 with respect to s.\nAnswer: -1174158*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -54297, -54066, -53835, -53604, -53373, -53142?\n\"Answer: 231*d - 54528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 108837*t - 3047413. Give d(28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d. Let i be p(-5). Let w be (-20)\/10 + 2 + i. Sort w, -4, -1 in increasing order.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (-10)\/(5\/(-1)). Which is bigger: 4\/117 or h?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 3*g - 66 = 0, -7 + 61 = -2*j + 3*g. Let i = j + 24. Let z = 0.02 - 3.02. What is the closest to i in 2\/23, z, 1\/2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m**2 - 2060 + 2060. Let c(j) = -j**2 - 35. Determine c(p(n)).\nAnswer: -4*n**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -98154.89 rounded to the nearest ten?\nAnswer: -98150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dpdddahrqhaphdp. Give prob of sequence hdr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 2*l + 2*l)*(-3*l**2 - 4*l**2 + 3*l**2) + (1 + 0 + 0)*(l**3 + 3 - 3) - 1 + 1 - 2*l**3 + 3*l - 4*l**3 - 3*l.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 10:48 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, p: 2, g: 3, z: 9, w: 3}. Give prob of sequence ipwp.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1152*b - 1153*b = 405. Let d = -403 - b. Let 40\/3*i - 4\/3*i**d - 100\/3 = 0. What is i?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1403, -2804, -4205, -5606, -7007?\nAnswer: -8408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2.51*0.02\nAnswer: -0.0502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 9. Suppose -2*o + 5*o - 2*s - 28 = j, 0 = -5*o + 5*s + 55. Suppose 0 = -5*y + 5 + 15. Calculate the lowest common multiple of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 98 and 41503.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 17*b = 17472. Let z = 834 - b. Let f(h) = -2*h - 2*h - 5*h. Determine f(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 2, -d - 2*h - 5 = 1. Let v be ((-1740889)\/d)\/((-6)\/96). Let n = -22827112 - v. Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4599.903 milligrams?\nAnswer: 0.004599903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23373\/8 + 2917. Find the common denominator of o and 2\/(-4) - (-444)\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9244\/3 + -1026050\/333. What is the common denominator of a and 61\/15?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.07 - 0.07. Let k = 11 + -11.22. Let c = k + -0.08. Put c, -1\/10, f in ascending order.\nAnswer: c, -1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 164569520 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 141 - 138. Let d(u) = u**3 - 6*u**2 - u + 2. Let y be d(6). Which is the closest to -3?  (a) -3  (b) v  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -1\/336*v**8 + 14*v**2 - v - 7\/60*v**5 - 3\/40*v**6 - 1\/12*v**4 + 0*v**3 - 1\/42*v**7 + 0. Factor o(j).\nAnswer: -j*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 4, c: 1, t: 2, g: 12}. What is prob of picking 3 g and 1 c?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.029 and -86318973652.\nAnswer: -86318973652.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18707040.\nAnswer: 2, 3, 5, 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61756 or -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - -39) + (-799 - -722).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45258760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 391 is divided by 121.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1787 divided by 4438?\nAnswer: 1787\/4438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*o + 3*m = -57*o + 8, 3*o = 7*m - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 1824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h**2 + 27*h + 14. What is b(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.54?  (a) -5  (b) 1\/7  (c) -1  (d) 13  (e) -898\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 8, 1, 4 in descending order.\nAnswer: 8, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 96983432 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 49678 divided by 7\nAnswer: 49678\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.07 and 566039.1.\nAnswer: 566039.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5760 and 74?\nAnswer: 213120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 186375, 186368, 186361, 186354?\nAnswer: 186347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 47\/9 or -6175?\nAnswer: -6175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 8*q - 3. Let j be n(9). What is the common denominator of (j\/(-4))\/((-3)\/(-49)) and 111\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 939282016 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 3*l. Let s be b(4). Let z be ((-4)\/10)\/((-18)\/(-15)). What is the third smallest value in s, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -363776105 and 4.\nAnswer: -363776101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24883618 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00090638473 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i**4 - 85*i**3 + 305*i**2 + 585*i - 810 = 0. What is i?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/240 and -121\/18000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 0) + (7 - 12 - -4). What is the smallest common multiple of 2\/3*-3 + (d - -22) and 37*3 - (-2)\/(-2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 480 and 2661708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -19\/45  (b) 0.3  (c) -0.1  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k - 1. Suppose 4*x - 3*x + 2 = 0. Let j(q) = 5*q + 6. Let y(h) = x*z(h) - j(h). Let f(t) = 2*t + 3. Calculate 5*f(a) + 4*y(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 9:28 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -290*m + 1606 wrt m.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -38637507*d**3*g - 18557143*d**3 wrt g?\nAnswer: -38637507*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2512 divided by 1?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -460052 (base 13) to base 9.\nAnswer: -3104382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1683301.068 to the nearest one thousand.\nAnswer: -1683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4559 = -j + 145*j + 2*g + 5215, 3*j - 2*g - 68 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*h - 46*h + 235 = 0. What is the remainder when h is divided by (-103)\/(-4) - (-6)\/(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) -0.1  (c) 0.03  (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (896\/(-56) - 6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.08, -0.2715, 1, -0.4 in decreasing order.\nAnswer: 1, -0.08, -0.2715, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3301\/6 + (-73)\/438. Let q = d + -550. Solve -1 = -4*s - 3*x - 17, q = -x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s**2 - 3*s - 2 - 162*s**3 + s**2 + 0*s - 156*s**3. Is 7 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*u = 173*u - 6. Let z(k) = -14*k**3 + k - 3. What is the tens digit of z(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7706*k + 6*k**3 - 7751*k - 3*k**3 + 11*k**2.\nAnswer: 3*k**3 + 11*k**2 - 45*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 1 - 7 = -w - 5*w, -1692*w + 3*j = -844*w - 845*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00453304736 to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2027 + 2045. Solve -3*z - a + 16 = 0, -5*z - 3*a + f = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2 + 0.2. Let m = 2.7 + -5.7. Let p = 4.4 - 4. Which is the closest to y?  (a) m  (b) p  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 174 and 168.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 6 = 2*d. Let x(t) = 3*t**3 + 4*t**2 + t - 2. Let w be x(d). Let v(g) = g**2 + 9*g - 13. Calculate the remainder when v(w) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 826 is divided by (-2 - -1)\/(21\/(-975)) - 366\/854?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -5*d - 31. Let j be v(-8). Solve -j = -l + 4*f + f, 2*f = 5*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 c when three letters picked without replacement from acqclqqlaggccaqqlzaq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/5)\/(-15)*-6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) -0.3  (c) -1  (d) 20.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -418 and 0.3.\nAnswer: -125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-5))\/(-1 + 16\/20). Let z be ((-3)\/f - 14)*5\/45. Which is the fourth smallest value?  (a) z  (b) -2  (c) -1  (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2\/50*10 - 63596\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.13703 + -0.17297. Which is the third biggest value?  (a) -0.3  (b) 1\/9  (c) j  (d) 3  (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13004 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 87025283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60304 (base 10) to base 8.\nAnswer: 165620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 2*m - 15 + 3 = 0, -4*i = -4*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 13*m**2\/2 - m + 5. Calculate k(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 280384393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 1)*(j**4 - j**3 + j**3) - 22*j**4 - 7*j**4 + 8*j**4 + j + 5*j**4 - j to the form t*j**3 + m*j**4 + x + r*j**2 + d*j and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 47\/4 of a meter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 588?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1516, 1344, 1172?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/3159 or -1?\nAnswer: 2\/3159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 184700 + 234?\nAnswer: 185034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7810674*s*u**3 + 49552*s*u**2 - 2*s - 14 wrt u.\nAnswer: -46864044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 765*h + 4879*h - 1116*h + 2251*h.\nAnswer: 6779*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18340 divided by -131.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21342.46 millimeters to meters.\nAnswer: 21.34246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*h + 7*h. Let w = -10 + h. Let g = 8 + w. What is the highest common divisor of 24 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 13, -3, -1272 in descending order.\nAnswer: 16, 13, -3, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1155123 rounded to 3 decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 12:36 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 104 = -0*b. Suppose 0*v = -c + v + 20, b = 2*c + 2*v. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l, -2*y - 6*l + 2*l - 132 = 0. Let x be y\/(-9) - (4 + 0 + -3). Does x = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2. Let k(c) = -c**3 + 5*c**2 + 5. Let z be k(5). Let y(w) = -w**2 - 1. Let d(l) = -l**2 - 5. Let n(h) = z*y(h) - d(h). Determine m(n(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 16) + -3 + -5 - (4 + -13 + 71)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 23 - 37. Let h = 42 + l. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -47 - -56. What is the first derivative of 4*n**3 + 7 - 5 - 8 + t*n**3 wrt n?\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ddae (base 16) to base 9.\nAnswer: -205663","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: -e (base 16) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0842 times -28138?\nAnswer: 2369.2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*r - 9 = 3*m, r = m - 3. Let p(d) = d**2 + 6*d + 10. Let y be p(-4). Sort 40, m, y in descending order.\nAnswer: 40, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178061509?\nAnswer: 178061509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.049 - -3.251. Let y = c + -3.47. Let r = 0.69 + y. Round r to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 5:54 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(1300) + 5)**2.\nAnswer: -300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -61, -28, -7, -4, -25, -76, -163, -292?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*f**3 + 37 + 33 + 21 + f**3 - 93.\nAnswer: 10*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-232)\/(-261)*6\/40. Which is the nearest to 0?  (a) 21  (b) g  (c) 0.5  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/3, 1830, 8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*v + 10*v = -1507032. Suppose v = 17*w + 15203. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10201112012 - -120210112?\nAnswer: 11022022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 12 - 24. Suppose 0*t = v*t - 64. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*b + 30, -2*b + 0*b - 24 = -4*z. Let n(d) = 4*d - 5. Let t be n(3). Let o be (3 - t) + 20\/2. What is the highest common factor of o and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/(-85) - (-64)\/30?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o + 7. Let l(z) = 4*z - 15. Let s(p) = -2*p**2 - 2*p - 5. Let r be s(-2). Calculate r*x(m) - 4*l(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1 + sqrt(72) + 5) - (2 + (-3*(-1 + sqrt(2)) + (sqrt(24)\/sqrt(2))\/sqrt(6))**2).\nAnswer: -55 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 677581908 by -169395477.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 17372.68469105+0.4\nAnswer: 17373.08469105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -12. Suppose 33*w = 36*w - 2*t - 14, 0 = -w - 2*t + 2. Sort w, 0, -4, r in decreasing order.\nAnswer: w, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25555771 and 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 6*f**2 - 6*f + 8. Let g(a) = a**3 + 20*a**2 - 46*a - 51. Let x be g(-22). Give z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 434 + -438.87. Let q = -0.13 + m. Suppose 0 = -155*v + 153*v - 8. What is the closest to -4\/9 in v, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.1 times -1\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 + 3*v**2 + 4*v - 4 + 8*v - 13*v in the form z + h*v**2 + s*v**3 + d*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0390048889 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/(j\/(j*j\/j**(-2\/3)*j*j*j))))**(-8\/5))**(7\/5)\/((j*j**(-5))\/(j\/(j\/j**(-8))))**(-24) assuming j is positive.\nAnswer: j**(7816\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 6*n + 400. Determine s so that -n*s**4 + 12*s**3 - 8*s + 54*s**3 + 8*s**2 - 8*s**2 + 42*s**5 = 0.\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.07 or 0.033?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58538822 is divided by 14790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 4*w**2 - 3*w. What is the remainder when 2 + 5*38\/10 is divided by j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32 and 2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.013 + 921\nAnswer: 921.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10580*w**2 - 5159*w**2 - 5321*w**2.\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(-18)*396\/(-616)*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1216, 2507, 3784, 5041, 6272, 7471?\nAnswer: 8632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35*b*c*i*o**3 - 23*b*c*o**2 + 2*b*c - 268*b*i*o**3 + 5*b*i*o**2 + 62*c*i*o**2 - 12*c*o**3 - c*o**2 + 13*i*o wrt o.\nAnswer: 210*b*c*i - 1608*b*i - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -n*r**2*y - n*r**2 + n*y**3 + 24*n*y**2 - 2*n*y + 660*r**2*y**3 with respect to r.\nAnswer: -2*n*r*y - 2*n*r + 1320*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 9*z - 10 = 0, 5*h - 2*z + 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 - 4342*m + 21660.\nAnswer: 2*(m - 2166)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z**2 - 9*z - 2. Let w(k) = -2*k + 3. Let l be w(2). Let s(i) = i**2. Let o(d) = l*v(d) + 5*s(d). Let o(g) = 0. Calculate g.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**5*j))**(3\/10)*(j\/j**(-1\/4))**(-41) assuming j is positive.\nAnswer: j**(-211\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -3*d**7\/98 + 2*d**6\/35 + 6*d**5\/35 - 3*d**4\/14 - 5*d**3\/14 + 3*d**2\/7 + 6*d. Find r such that g(r) = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 686832748, 1373665499, 2060498250, 2747331001?\n\"Answer: 686832751*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 5*i**2 + 2*i + 4. Let l be p(5). Let q = 7 + l. Let y = 36 - q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -116, -260, -454, -710, -1040, -1456?\n\"Answer: -2*n**3 - 13*n**2 - 91*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 37*k**2 + 4*k + 3. Let u(q) = q**2 + q - 2. Let p(w) = i(w) + 5*u(w). List the prime factors of p(-3).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**2 - 3*q - 2. Let d(a) = -7*a**2 + a. Let v(l) = -l**2 - l - 1. Let t(y) = -d(y) + 3*v(y). What is -3*g(n) + 2*t(n)?\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r = -27*r + 248. Suppose -o + 24 = 2*o. What is the derivative of 4 + r*q**4 + o - 139*q**4 wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 91931, 91928, 91925, 91922, 91919, 91916?\n\"Answer: -3*b + 91934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 812574 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -1925*r + 1930*r + 5*o, -11*o = 4*r - 38 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4)*-4 + 3. Let s(k) = -k**3 + k**2 + k. Let c be s(-1). Let u = r + c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 2*j + 7 + 21, 4*r = -3*j + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -227.6 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + 5*o - 25, 151*p + o = 154*p + 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 12*b**3 + 1088*b**2 + 960*b + 1116. What is z in m(z) = 0?\nAnswer: -60, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 + -51 - 36 - 32) + 2 + 16.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m**2 + 6. Let h(u) be the first derivative of -u**3\/3 + u - 16. Determine -4*h(c) + q(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3695000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.13 + -1.13. Let i = -5 - -2. Which is the closest to -2\/9?  (a) 0.2  (b) i  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*u = 7995, -4*h + 856 = 2*u - 5532. Let o = h + -15859\/10. Calculate the common denominator of 11\/19 and o.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 6*w - 11 + 0 - 4 - 5*w. Let p be d(15). Solve p*n + 8 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225954336 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46 + -44. Let t be -1 + f - (-3 + 3 + 1). Solve -4*n + 0*n + 20 = t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + sqrt(6)\/sqrt(3) + (1*sqrt(12))\/sqrt(6) + -1*sqrt(2)*1 + ((sqrt(6)\/sqrt(3)*-1)**2 - sqrt(2))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 < 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 51 = -5*w + 3, 4*w = 0. Let l = t - 7. What is the remainder when 23 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 32*m + 41. Let q(z) = 48*z + 62. Let w(u) = -8*h(u) + 5*q(u). What is the remainder when w(-8) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3393352?\nAnswer: 2, 424169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*h - 68*h + 265 = 265 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 2*y - 389 + 397 = 0, 5*z + 2 = 3*y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/12)\/(145\/261)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**3\/3 + s**2 + s + 467. Determine a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/120*-4)\/((-16)\/72)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2934800008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 199.7.\nAnswer: 198.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74617077.\nAnswer: 3, 1237, 20107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 4:48 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s = 3*s - 36*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -3519.\nAnswer: 7\/3519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 68754972 and 2472?\nAnswer: 137509944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9247.7 rounded to the nearest one hundred?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2749  (b) -0.4  (c) -2\/19  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 5:56 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -72 or -78?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*v - 3*v. Let f(a) = -a**3 + 11*a**2 - 8*a + 20. Let z be f(10). Suppose w = -3*w + z. Solve -5*k + w = h, v - 4 = -h + k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 193 - 0\/4. Suppose 0 = -25*z + 621 - 171. Suppose -z = 6*y - k. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -14. Solve -4*f - f + 5*s + 20 = i, -3*f - 2*s = -17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*d**3 + 20115*d**2 + 999045*d + 16539745 = 0.\nAnswer: -149\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 790?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**2)**(-4\/13))**(-41) assuming d is positive.\nAnswer: d**(328\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3206322 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pwpnnxi. Give prob of picking 2 n and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -496*g. Let i(f) = 168*f**2. Determine z(i(q)).\nAnswer: -83328*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51659?\nAnswer: 51659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -5\/6, -0.7 in increasing order.\nAnswer: -5\/6, -0.7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 130*n**3 + 307 - 541 + 315 with respect to n.\nAnswer: 390*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -11246?\nAnswer: 11242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.5 + -8. Let u = -2 - m. Which is the third biggest value?  (a) u  (b) -1\/8  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/5)\/4*(-4248)\/54*345\/(-46)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)*-1 - sqrt(44)*-4) + -3 + ((sqrt(22)*2)\/sqrt(2))**2.\nAnswer: 6*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 75 and 521310?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2117572991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139874 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1080)\/sqrt(10) + (sqrt(3) + 3*sqrt(15)\/sqrt(5))**2.\nAnswer: 6*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/7 in -96, -2\/9, -0.05, 1.548?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m*m**(-1)*m)))\/m*m*m)**11\/((m*m\/m**(-6)*m)\/((m\/((m**(-6)*m)\/m))\/m*m))*((m\/(m\/((m\/(m**(-2)*m))\/m)))\/m*m\/(m**1\/m))**3 assuming m is positive.\nAnswer: m**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 6\/7, 4\/3, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*j - 232 = -120 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17884.29 weeks in milliseconds?\nAnswer: 10816418592000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17298\/5 + 372\/5*y + 2\/5*y**2.\nAnswer: 2*(y + 93)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -5, 5, 19, 37?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6869 = -6*l + 2281. What are the prime factors of (-1*6\/5)\/((-10)\/l)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21538319 = 3*p - 4*b, -b - 2*b = -15. Suppose a - 18717732 = -3*a. Let l = p + a. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-11 + -6 + -8 + 11 - 12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 4*v**2 - 5*v - 6. Let o be j(-7). Let k(q) = 3*q**2 - 4*q + 1. Let d be k(3). What is the highest common divisor of d and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t**2 - 3*t - 10. Suppose 4*y + 0*w - 28 = -2*w, 3*y + 1 = 4*w. What is the units digit of a(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = t + 90. Suppose 0 = -3*s - 2 - 10. Let r = s + t. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -8*x. Let l(t) be the first derivative of 0*t**2 - 1\/6*t**3 - 4*t + 5. Let k(w) be the first derivative of l(w). What is k(p(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -7) + (500 - -1). Suppose -6*f = -3*f - 15. Suppose 2*k = f*y + 344, -2*y = -3*k - 0*y + q. List the prime factors of k.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 302 and 2070059.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -4*l**3 + 2*l**2 + 2*l + 2. What is y(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 10*r - 35. Let p be m(4). Suppose h - 3*h + 10 = 0. What is the first derivative of 48 + h*u**2 - p*u**2 + u**3 - 68 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 2*v + 6)*(-3*v - v**3 + 4*v + 3*v**2 - 6*v) + (0*v**4 - 4*v**4 + 2*v**4)*(3 + 1 - 2).\nAnswer: -2*v**4 - 6*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*f - 318 = 235, f + 1 = 0. Suppose -a + 2*w + r = -518, 8 = -4*w. What are the prime factors of a?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2755404557 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**5 + 4*h**5 - 7*h**5 - 17*h**5 - 15*h**5 + 12*h**5 + (-4*h + 3*h + 0*h)*(5*h**4 + 10*h**4 + 16*h**4) + 0*h**5 - 2*h**5 + 4*h**5.\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 105 + -158. Let h = a + 99. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3386558441?\nAnswer: 7, 483794063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*b = 34*b + 24. Let t(u) be the second derivative of 0 + 10*u + 1\/10*u**6 - 1\/4*u**5 + 5\/6*u**b - 1\/12*u**4 - u**2. Determine h, given that t(h) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1064)\/5 + 1\/(-5). Let v = z - -2341\/11. Suppose 31 = -4*p - 3*w + 15, p = -4*w - 17. Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.07, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-1) - 119\/112 and -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63 - 486*o + 6779*o + 104*o.\nAnswer: 6397*o + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*y + 216 - 246. Solve 0 = 2*q + 2*f + y, -4 = 3*q - 3*f - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 2. Let k = v - 1. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 17. Let f = 2.1 + v. Let i = -223 - -227. Which is the closest to f?  (a) -4  (b) i  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1602 + 2*b**3 - 3204 + 1602.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/8)\/((-2)\/(-20)). Solve -2*i - i = 3*h - 15, -25 = -n*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/42)\/(-3)*28\/(-60)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1446895 by -4.\nAnswer: -1446895\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*r**3*s**2 - 567133*r**3*s + 3*r**2*s + 100782*r*s**2 - 119*s**2 wrt r.\nAnswer: 144*r*s**2 - 3402798*r*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3 - 13 = 0. Suppose -5 - 50 = -d*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2 + 0)\/(-2))\/(-1). Let z be h - (-1 + (-3)\/9). Put -4, z, 5 in ascending order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 140126901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - 1. Let o = u - -9. Which is the biggest value?  (a) -2\/7  (b) -2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1802\/3969 or 1?\nAnswer: -1802\/3969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*5525.\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n = 6*n - u + 9, u = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 11:58 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4883934427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(8\/4)\/1)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.9 - 9.5. Let d = b - -12. What is the second biggest value in 2\/17, 1\/6, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34*(-2)\/(-8))\/((35\/100)\/(56\/20))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hsabphb. Give prob of picking 1 s, 1 p, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 4*t + 72, -6*t = 2*i - 3*t - 111. Let y = i + 15. Factor -3*k**3 - 4 - 33*k - 42*k**4 - y*k**3 - 9*k**5 - 72*k**2 - 2.\nAnswer: -3*(k + 1)**4*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/(-4) - -3 - -12. Let x = -8 - -20. Suppose 3*h - j = -3*f + x, 0 = 3*f - 3*h. Calculate the least common multiple of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2908 = -324*h + 17164 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10109*a*i + 84*a*k**2 + 2*a + 5767725*i*k**2 wrt a.\nAnswer: -10109*i + 84*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of b**3\/6 + 3*b**2 - b. Let x = -2 - -4. Suppose -4*l = -x*l. Determine m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 28.72158mm?\nAnswer: 0.00002872158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8688 + 8753. Put g, -4, 16 in descending order.\nAnswer: g, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -21*a**2 - 3572*a + 59. Give o(-170).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2475753613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 3  (b) -4  (c) 0.3  (d) -138\/11  (e) -1\/2  (f) -571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 86 = -5*f, -2*g + 0*f + 4*f + 30 = 0. Suppose 0*d = 4*d + 8. Let u = d + g. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3938450 (base 11) in base 16?\nAnswer: 680db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8027 divided by -23?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a millennium in months?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) 12  (c) -4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28340 + 28340.04. Which is the closest to 3\/10?  (a) j  (b) 4  (c) -2\/3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2*t**2 - 2)*(3 + 12 + 7)*(185 + 162 - 319) in the form y*t**2 + z*t + d and give y.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -658 - -663. Suppose -5*o = 18 - 68. Find the second derivative of -k*b + o*b**4 + 33*b - 17*b**4 + b wrt b.\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*c + 35 = -1, c - 5 = -2*p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -13*j**3 + 4*j**2 - 4*j + 1. Let z = 29 + -26. Let i be k(z). Let m = 467 + i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of 141*w**2\/2 + w + 4. What is the tens digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -786b + -99?\nAnswer: -7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -4*m**5 + 830*m**4 + 59002*m**3 + 867652*m**2 - 1406280*m + 478800 = 0.\nAnswer: -30, 1\/2, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = u. Suppose -2*b = -4*b + 3*o + 16, 8*b - o = 42. Solve u*j - 10 = -b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 - 174 = -10*z. Suppose -21*a + z + 63 = 0. Solve -14*y + a = -16*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0232 - -32.2.\nAnswer: 32.2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -9516*-0.4\nAnswer: 3806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.53 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 511\/88 + -45\/8. Let n = -3 - -4. What is the second smallest value in 0.5, n, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2149.591581 and -0.4.\nAnswer: -2149.991581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2510.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 72656*956\nAnswer: 69459136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w + 2. What is the remainder when z(10) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218 divided by 156.\nAnswer: -109\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.17216 - -0.11216. Which is the closest to -1?  (a) 5  (b) j  (c) -3\/4  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/6 in -1.4, -84, 1, -2, 4\/5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 14*y**2 - 8*y - 5. Let o be c(14). Let r be 1300\/18 + 26\/o. Let t = r - 44. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/10*(-555)\/74.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 172286306 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -109, 4, -8 in decreasing order.\nAnswer: 4, 3, -3, -8, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(2695) - sqrt(2695))*-1)\/(sqrt(125)*2*-2*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lzz when three letters picked without replacement from {z: 14, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7838 + 1969 = 7*u. Suppose -11*s + u = -8*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**2 - 2*g + 0*g**2 - 2*g + 6*g as r*g + t*g**2 + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -9*h**3 + 2*h**2 + 3*h + 3. Is d(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - 3*sqrt(171)) + 5.\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*a**4 + 20*a**3 + 304*a wrt a.\nAnswer: 72*a**2 + 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1\/40)\/((-2409)\/(-96360))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 187023\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrrrrrrz. Give prob of picking 3 r and 1 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g - 5 + 0*g + 7)*((g**2 - 2*g**2 + 3*g**2)*(-5*g + 4*g - 3*g) - 90*g - 95*g + 6*g**3 + 183*g) to u*g**3 + w*g**4 + a + p*g**2 + d*g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6029 - 5959 = -10*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 45\/2 of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 93534 and -0.15?\nAnswer: -14030.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 = -0*z. Let u(q) = -z*q + 3 - 4 + 3. Let c(i) = 2*i - 1. Give 5*c(x) + 3*u(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 8*i**2 + 6*i + 9. Suppose 2*t + v + 14 = 2*v, 5*t - 2*v = -35. Is 8 a factor of w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84839827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 743258?\nAnswer: 2, 47, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/5 - 68*x**3\/5 + 1222*x**2\/5 - 2244*x\/5 + 1089\/5.\nAnswer: (x - 33)**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4*a**2 - 12*a. Let q(v) = v**2. Calculate -j(d) - 3*q(d).\nAnswer: d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*j**2*t**2*w + j**2*t**2 + 2*j**2*t*w + j**2*w + 5*j - 12*t**2 - 9*t wrt t?\nAnswer: -20*j**2*w + 2*j**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 s when three letters picked without replacement from {y: 3, b: 1, r: 1, s: 2, j: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 1. Let f(b) = 2*b**3 + b**2 + 5*b + 5. Let m = -12 + 11. What is m*f(s) - 5*c(s)?\nAnswer: -2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1549*h**4 - 2*h**2 - 101*h + 8.\nAnswer: 18588*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 46, 133, 286, 511, 814, 1201?\n\"Answer: r**3 + 27*r**2 - r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -59*r**3 + 9*r**2 + 29*r + 3. List the prime factors of q(-3).\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 4:39 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s - 9*s = 30. Let x(j) = 2*j**3 - j**2 + 6*j + 7. List the prime factors of x(s).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -128*o**2 - 1103*o + 2. Let j(n) = 22*n**2. What is v(j(l))?\nAnswer: -61952*l**4 - 24266*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -0.4  (c) -1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 - 3*o + 48. Let h(u) = -4*u**2 + 5*u - 95. Determine 3*h(d) + 5*y(d).\nAnswer: -2*d**2 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132730279.\nAnswer: 11, 73, 165293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -20070, -0.4, -30, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 8. Let c = w - -15. Suppose 4*k = 2*x + 2*k - 16, 2*x + 5*k + c = 0. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + (-13275)\/1215 - 27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*v + 41. Suppose 2*c - 4*c + 16 = 0. Calculate the least common multiple of v and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -5*u**2 - 11*u + 14. Let o be m(-3). Let d be 50\/2 + 0\/(-1). What is the second derivative of -o*h**2 - d*h**3 - 39*h + 42*h + 2*h**2 wrt h?\nAnswer: -150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/50495  (b) 0  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2184530269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 55 + -24. Suppose -l + 36 = b. Suppose -l*u - 6 - 4 = 0. Is u smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.6 + 0.6. Let v = 4 + -12. Let y = v - h. Which is the closest to y?  (a) 1  (b) 3  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 445155384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((0 + 1)\/2). Let a be (-26)\/(-4) - 1\/j. Let m = 17 - a. What is the smallest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*sqrt(132)*5)\/((-2*sqrt(144))\/sqrt(12) - (6*1*sqrt(12) - sqrt(12))).\nAnswer: 20*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.4  (b) -13\/5  (c) -4  (d) -0.2  (e) -24\/13  (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*c = -278*c + 216 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, 52, 114, 232, 424?\n\"Answer: 3*w**3 + w**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 76*i**2 + i. Let f(k) = -19*k**2 + 1. Determine j(f(l)).\nAnswer: 27436*l**4 - 2907*l**2 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1626881780 and 547774.\nAnswer: 1627429554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**3\/t*t**(8\/11) assuming t is positive.\nAnswer: t**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4219087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 1375. Let i(z) = -491. Let g(s) = 14*i(s) + 5*u(s). Let r(n) = -n - 1. Let p(j) = 7*j + 2. Let c(y) = -p(y) - 4*r(y). What is 2*c(m) - 4*g(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 108335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 2:07 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -15*c**2 + 7*c - 1. Suppose -4*z = -11*z + 14. Let f(m) = 5*m**z + 13222 - 13222 - 2*m. Give 7*f(y) + 2*g(y).\nAnswer: 5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**4 + 188*p**3 + 1224*p**2 + 2512*p + 1696 = 0. Calculate p.\nAnswer: -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9251 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -11*x + 50. Let v = -4.33 + 0.31. Let a = 0.02 + v. What is the second biggest value in a, x, 2\/13, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 + 2*m**2 + 7*m + 5. Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2405097 divided by 17.\nAnswer: -2405097\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 6:29 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.5 - -0.5. Let y = 12 - r. Let n = -10.00000018 + y. What is n rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -2. Let p = 254 - 250. Let c = p + z. Solve 0 = -u - c - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48285?\nAnswer: 3, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10201010 + -200100?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*w + 5*b - 260, 5026*w - 4*b - 104 = 5022*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/3)*p)**38\/(p\/p**3)**25 assuming p is positive.\nAnswer: p**(226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w + 132010 + 47008 = 54*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*l - 0*l. Let d be 2 - (0\/l - 2). Suppose d*w - 129 = -41. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002940436533 to seven dps.\nAnswer: -0.0000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 5 - 3*c**3 - c**2 + 2*c**3 - 3. Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**3\/6 - w**2 + 4*w. What is the lowest common multiple of 1 and c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3809, 3754, 3685, 3596, 3481, 3334, 3149, 2920?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2629559, -5259114, -7888669, -10518224, -13147779?\n\"Answer: -2629555*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 9 = 0, 6*h + o - 2446 + 2431 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4337973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 60, 47, 12, -57, -172, -345, -588, -913?\n\"Answer: -2*t**3 + t**2 - 2*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.053 or -2\/3265?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 3\/4, -20 in decreasing order.\nAnswer: 3\/4, -1\/6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + f**3 + 15 - 13*f**2 - 2*f + 0*f**3. Let z = 435 + -422. Let d be y(z). Sort -5, 5, d in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*q - 160*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**24*y**30*((y\/(y*y*y\/y**(-15)))\/y)**14 assuming y is positive.\nAnswer: y**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13919543657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -3 + 2*z + 1\/2*z**2. Give w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4710 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 less than 999149352?\nAnswer: 999149351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 0)\/(1 + -2). Suppose 2*s - 7 = s + 3*l, z = -3*l. Solve -s*h + 8 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 582 and 39372?\nAnswer: 3819084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, -5\/27, -1, -9, 3, -32.9 in ascending order.\nAnswer: -32.9, -9, -1, -5\/27, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278 = -2*c + 4*a, 5*c + 3*a - 546 = 188. Let d(u) = -4*u + 14. Let k be d(-11). What is the greatest common factor of k and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10788 and -0.23.\nAnswer: 10787.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 6*y. Suppose n - 4*n = y. Solve 3*v - 5*d = 13, -v + 5*d + 11 = -n*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 14*d - 85. Let n be o(5). Solve -29 = -13*s + n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1)**(-27\/5)*(x**(-5)\/x)\/x**(-1\/5)*(x**(-1))**11\/(x**1\/x**(2\/11)) assuming x is positive.\nAnswer: x**(-1266\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4703*h + 3*m + 49 + 34 = -4708*h, -3*h - 7*m - 4*m - 13 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -298, -307, -328, -367, -430, -523?\n\"Answer: -n**3 - 2*n - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2. Let p(y) = 1. Let k(b) = 1. Let q(t) = k(t) - 2*p(t). Let g(l) = -9*l + 27. Let m(x) = g(x) + 27*q(x). Calculate u(m(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + b - 1100 = 0. Suppose -4*u + b = 5*w, 2*u - 84 = 7*w - 3*w. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -1 + 0*y**2 + 0*y**2 + 3*y**2 + y + 6 - y**3. Determine v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 14) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-60)*(-192)\/32\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 34534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*v - 38*v - 120 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 433 divide 5389984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 319 and 99749415?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4953?\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11.3 and -18287.\nAnswer: 206643.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of 2666*a**2 + 555*a - 6552. Find the first derivative of w(n) wrt n.\nAnswer: 5332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-8)*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 14*s**2 - 21*s - 1. Let i be a(-8). Suppose -5*x - c = -i, -x + c = 3*c - 218. Suppose x = 3*d - 367. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -51429863.98 to the nearest one thousand.\nAnswer: -51430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -146 - -146.0178. What is r rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**3 - 4*r**3 + 0*r**3 - 98*r**2.\nAnswer: -r**3 - 98*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -2, -0.12, -4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12 - 1451512?\nAnswer: -1451524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 1 + 59. Let z be (-1)\/(3 - (-175)\/n). Let j = 58 + z. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5 - -13) + -57 - -14) + -101?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3588 less than 3635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-2))\/(1 - 0). Let l be (0*f\/4)\/(-1). Let y be l + -2 + (-36)\/(-16). Which is the second biggest value?  (a) y  (b) -1  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**2\/5 - 7888*n - 711216\/5 = 0. Calculate n.\nAnswer: -18, 9878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**3 + 24*o**2 - o. Let c(i) = -i**3 + 9*i**2 - 6*i + 66. Let a be c(9). Is 40 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 1:01 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*a**5*h - 115130*a**3*h + 237*a**2*h - 6*a**2 - 11 wrt a?\nAnswer: -720*a**2*h - 690780*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 689*g**2 - 3094*g**2 + 74*g - 1988*g**2 - 74*g.\nAnswer: -4393*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.31, 14, -1.3, 75, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11090206, 11090194, 11090168, 11090122, 11090050, 11089946, 11089804?\n\"Answer: -w**3 - w**2 - 2*w + 11090210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 78 and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002584589199 to six decimal places.\nAnswer: -0.002585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate y**3 + 18896*y**2 - 26104.\nAnswer: 3*y**2 + 37792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 17159036051666\/585369378 - (-7)\/((-126)\/4). Let u = -1\/17738466 - y. Let m = u + 29308. What is the common denominator of m and -39\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/5)*i**(-2\/11))**(-18\/7) assuming i is positive.\nAnswer: i**(774\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**2 + 2*u**4 - 3 + u**3 + 574*u - 573*u + 4 in the form h*u**2 + g + x*u + s*u**3 + t*u**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12946607 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-18)\/(-21))\/3)\/(436\/763).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132 (base 5) to base 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 0.5  (b) -1\/3  (c) 1.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1324 times 30508\nAnswer: 40392592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-168)\/(-98))\/((-44)\/33).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -887 times -0.9?\nAnswer: 798.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18972 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of 1\/3*v**4 - 7*v + 5\/6*v**3 + 0*v**2 + 0. What is the second derivative of n(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -435, -867, -1301, -1737, -2175, -2615?\n\"Answer: -x**2 - 429*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of 25*m**7\/42 + m**5\/2 + 4709*m**3\/3 + 13316*m**2. Find the first derivative of i(s) wrt s.\nAnswer: 500*s**3 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -672 - -676. Calculate the least common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -8, 0, -158.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s**2. Let c(p) be the first derivative of -p**2\/2 - 8. Calculate c(t(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (1 - 5 - -1). Let o be (-3 + 10\/4)*l. Suppose -k - 6*u + 3*u + 34 = o, -5*k + 170 = -4*u. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6 and 8\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2001, 2006, 2013, 2022?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1293 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2 - 121*r. Let t(j) = 8*j**2 + 18. Let i(c) = -c**2 + 9. Let u(y) = 2*i(y) - t(y). Determine f(u(x)).\nAnswer: 200*x**4 + 1210*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i. Let k = -1 + -2. Let p be 2 + 18\/(0 + k). Let y(o) = -66*o - 69*o - 68*o + 207*o. Calculate p*y(j) - 11*v(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 141574130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -133 and 36740574766.\nAnswer: 36740574633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22.38 - -23.98. What is the second smallest value in n, -3.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -17*h**2 - 245*h - 94. Let k be o(-14). Let s = 0.002 - 10.002. Which is the closest to -0.3?  (a) -0.02  (b) k  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 814521 not equal to 3258079\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-33)\/(7\/(-2) - -2). Suppose 2*c = -8, 5*u + c = 4*c + h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(121)*2*6 + 4*(sqrt(121) + 1*sqrt(121)) + sqrt(121))*-4)\/((sqrt(22)\/sqrt(72) - sqrt(11)) + 3*-2*sqrt(11)))**2.\nAnswer: 2794176\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2960 - -2965. Solve -2*a + 5 = g - 8, 20 = r*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 13  (b) 4\/7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hgzzohazzhegaezaaza. Give prob of picking 1 g and 1 h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 323 and 821134.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= -1\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = 51 + 110. Let s be (-28)\/(-16) + -2 - a\/(-4). Let t(u) = 15*u**2 - 11*u + 11. Let g(y) = -4*y**2 - 6 + 2 + 3*y + 1. Give s*t(w) - 22*g(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 103281637*b**2*w**2 - 235667363*b**2 wrt w.\nAnswer: 206563274*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2778 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1809995 is divided by 96?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*w - 189 + 72 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 4)*(3 - 3 - 2*p**2) + (-11*p + 4*p - 3*p)*(5 - 5 - 2*p) - 4*p**2 + 3*p**2 + 0*p**2 as s + v*p**2 + w*p and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 162998 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -246 - -248. Let z(g) = 78*g**3 - 2*g**2 - 4*g + 9. Does 17 divide z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-324)\/378)\/(2\/7)*(-44)\/(-77) - -1.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2275.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 9:20 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11ad (base 15) to base 9.\nAnswer: 5141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 divided by 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17656453 to the nearest integer?\nAnswer: 4202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3441*g**3 + 189108 wrt g?\nAnswer: 10323*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 177, -6, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -59, -4, 56, -3, -2\/5, 1, 10?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (0 - 0) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.048443\nAnswer: 0.0193772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52\/(((-30)\/20)\/((-96)\/128)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 43485 * 25\nAnswer: 1087125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - m + 2. Let y be s(2). Suppose -5*b = -y + 79. Let f be 2\/5 + (-39)\/b. Solve -j - 2 = f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.7 + -4.70014. Round a to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -943466, -943417, -943368, -943319, -943270?\n\"Answer: 49*x - 943515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v + 8. Suppose 5*i + 57 = -3*j + 28, -2*j - 5*i = 26. What is r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 141701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 139252710 > 139252710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 786 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: Solve 0 = 31*p - 594 - 119 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence goog when four letters picked without replacement from {x: 3, z: 4, o: 4, g: 7}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 184509 by -39.\nAnswer: -4731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-461)\/7 + ((-60)\/(-42))\/(-175*27\/(-2835)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-76)\/13 + (-18)\/117. Let y = j + -9. Are -72\/5 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from yukyyggeykky?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*o**3 + 152 - 45 + 5*o + 2*o**4 - 47 - 59 - 2*o**2 as n*o + r*o**3 + q*o**4 + i + j*o**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d**3 - 150*d**2 + 16*d + 6. Let b(h) = -7*h**3 + 150*h**2 - 17*h - 5. Let j(o) = -5*b(o) - 6*t(o). What is the second derivative of j(r) wrt r?\nAnswer: -6*r + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 12\/121 and -19\/440.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 4*q - 16 = 0, 2 = 3*w - 4*q. Suppose -47358 = -29*j + 26766. Suppose -w = 4*t - 18, t = 3*f - j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 186*x = 182*x, u = 3*x - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**4\/6 - 11*w**3\/3 - 10*w**2. Is 7 a factor of a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, w: 1, d: 1, z: 2, s: 1}. What is prob of sequence db?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 5*v + 12. What is the tens digit of b(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 120885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -27. Let p(w) = 2*w + 21. Let b be p(f). Let c = b - 35. Solve -5*k + 15 = -l, c*l - 3*k = -l - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 264 (base 16) to base 10\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 390 + 148. Suppose -f = g - 8. What is g rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 17*u - 3. Let l(h) = h**3 + 22*h**2 - 4*h + 452. Let j be l(-23). What is x(j)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 38*j - 105. What is the remainder when 617 is divided by w(34)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 5*q - 33. Let f be r(9). Let v(x) = 4*x**2 - 412*x - f*x**2 + 345 + 410*x. Is 28 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 297, 584, 867, 1146?\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 23333*a**2 - 2*a + 3. Let z be l(-6). Let o be z + -6 + 0 + 3. What is o rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1177419\/140 at most -8409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1. Let g(c) = c**2 - 4*c - 18. Let y be g(7). Let k be (-8)\/2 - (-1 + y). Let q(m) = -4*m - 4. What is k*x(b) - q(b)?\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 0*s + 2*s)*(2695*s - 117*s**2 - 2695*s).\nAnswer: -117*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (19*(-120)\/(-21280))\/((-3)\/(-4)). Put -0.3, 1\/10, y in decreasing order.\nAnswer: y, 1\/10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((17920\/(-100))\/112)\/(2\/60).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 0 + sqrt(3))*-2)**2.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from toohhhto. What is prob of picking 1 t, 1 o, and 1 h?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*k**2*r**2 + k*r**3 - 5*k + 31*r**3 + 12*r**2 with respect to k.\nAnswer: -44*k*r**2 + r**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3021115 (base 6) to base 16\nAnswer: 22de7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g - 14745 = -14661 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/(-18) - -1*(-6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (120*a - 38*a - 42*a - 745*a**2 - 40*a)*(13*a**3 - 16*a**3 + 110*a**3).\nAnswer: -79715*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -11.4. Let i = -34 + 242\/7. Which is the third biggest value?  (a) i  (b) z  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -108*l**3*q*y**3 + 103*l**3*q + 2*l**3*y**3 + 2*l**2 - 56*q*y**3 + 116*q*y wrt l?\nAnswer: -648*q*y**3 + 618*q + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 142.386 milliseconds in nanoseconds?\nAnswer: 142386000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**3 + 177*t**2 + 87*t + 200. Determine w(89).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 7*x + 1. Let f(s) = 5*s - 3. Let o be f(1). Let w be p(o). Let m(r) = 134*r**2 + r. Let g be m(1). Calculate the highest common divisor of g and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -95*l**3 - 19*l**2 - 19*l + 19. Let w be -7 + 59\/9 - 115\/45. Let y(c) = 16*c**3 + 3*c**2 + 3*c - 3. Determine w*k(v) - 19*y(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - 1 + 1)*(55*x**3 - 55*x**3 + 22*x**4) + (x**3 + 2*x**3 - x**3)*(-3*x**2 - x**2 + 2*x**2).\nAnswer: 40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) - (sqrt(130) + -4*sqrt(130))*-4 - (sqrt(130)*-3 + sqrt(130) + sqrt(130))*-3)\/((3*sqrt(40)\/sqrt(4) + sqrt(40)*-2)*-2).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10021010 divided by 21\nAnswer: -10021010\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7 + (-13)\/(-14))*(-18864)\/7074?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 0*j = -90. Let r be -2*3\/j*-1. Let k be (-2)\/6 + 4\/(-3). Which is the closest to r?  (a) 5\/4  (b) 0  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/32*(-32)\/20*(-60)\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/3805?\nAnswer: 2\/3805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000354515 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 66 - -64?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 2 + 2)*(-2*j**3 + 2*j**3 + j**3 - 3*j**2 + 3*j**2 - j**3 + (-j + j**2 + j)*(j + 0*j + j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -96*c - 1537. Give m(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14574 divided by 6?\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28035?\nAnswer: 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-14 + (-273315)\/(-19551).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -28. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.9 + -7.4. Round m to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 875687.3 days to hours.\nAnswer: 21016495.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1368)\/1482)\/((-34)\/663)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 143 - 93. Let y = r + -22. Suppose 5*c = -3*j + 2, 4*c + 0*c + y = 5*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1709*q - 1717*q + 16 = 0. Let 8\/7 + 2\/7*x**q + 10\/7*x = 0. What is x?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - c**4\/3 + 4*c**3\/3 + 232*c**2. What is f(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1104 and 1794.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**6\/150 - 9*t**5\/10 + 45*t**4 - 900*t**3 + 41*t. Solve x(y) = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -67?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 - -50 - (-12 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 6:42 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2794\/5*b - 2\/5*b**3 + 1398\/5 + 1394\/5*b**2 = 0.\nAnswer: -1, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*p - 26 = -3*l + 586*p, -5*p + 34 = 4*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/(-35))\/((-2)\/(-10)). Let -2*w**z - 2*w + 5 - 3 + 3 - 1 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 292 - 13. Let o = g - 275. Put -4, -3, o, 0 in descending order.\nAnswer: o, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 554.9 + -33.9. Let h = i - 521.2. Let z be ((-6)\/4)\/(3\/(-5)). What is the nearest to -2 in h, -3\/8, z?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2, 4, -5, 1, -5\/6, -1\/16, -1.767?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 170 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o = -5*g + 29*o + 2895, -3*g + 2*o + 1738 = 0. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*a**2)*(-2*a - 3*a + 3*a) + (391*a + 134*a + 1474*a)*(9*a - 3*a + 2*a + a**2) to r*a**2 + q + h*a + d*a**3 and give r.\nAnswer: 15992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12369873\/14 or 883563?\nAnswer: 883563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 38554 and 1599991?\nAnswer: 3199982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25875811*w**2 - 11478396*w.\nAnswer: -51751622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -58 from -11.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0\/k**(1\/11)*k**3*k**(-5\/2)*(k**3*k)\/(k**2\/k)*k**7*((k*k**(-9)\/k*k)\/k)\/k assuming k is positive.\nAnswer: k**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4213.7 from -51.5.\nAnswer: 4162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + (-120)\/(-35))*7. Let i(w) = 12*w**3 - w**2 - 6*w + 6. Is i(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/3  (b) 2  (c) -1\/8  (d) -9  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**2 - r**2 + r**2 + (r + 2*r - 2*r)*(-4*r - 2*r + 4*r) + 2*r**2 - 3 + 3 + r**2 - 7 + 6*r**2 - 5*r**2.\nAnswer: r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 90039.\nAnswer: 1\/90039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - 0.75. Let s = l + 0.05. Let a = 0.1 + s. What is the second smallest value in 2, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112 + -142. Which is the third biggest value?  (a) -2\/3  (b) 0.06  (c) -0.3  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0565 + 139.8435. Round b to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of 5*m**3\/6 - 445*m. Let n(g) be the first derivative of g**2 + 1. What is n(j(v))?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 129 + -124. Let n = 0.2 - 1.2. Let r = n - -1. Sort r, -0.3, a in descending order.\nAnswer: a, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {u: 5, e: 1, j: 14}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/8, 2, -2\/111, 0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 207, 197, 187, 177, 167, 157?\n\"Answer: -10*v + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0\/1*(-208)\/(-416)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**0)\/i)\/((i**11*i*i)\/i*i))**4 assuming i is positive.\nAnswer: i**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.95 + -2.75. Which is the nearest to 2\/7?  (a) -3  (b) 1\/11  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 7 - -10 - (-1)\/((-12)\/31)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 plus -12058?\nAnswer: -12103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -4. Suppose 0 = a + 3*a - 3*q - 8, -d*a + 6 = -3*q. Let r = 28 - 24. Solve a*v = g + r, 6*g - g + v + 9 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {g: 16, d: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -q - 20. Suppose m + 11 = q. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = m - 5*u, 75*m - 2*u = 74*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1880, 8982, 20770, 37226, 58332, 84070?\nAnswer: 114422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 AM and 7:07 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 3. Suppose 17*z - 1 = 16*z. Let o be (5\/(-10))\/(z\/a). Which is greater: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 6*n - 10. What is m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5*n = 4405, -r - 21*n + 1466 = -17*n. What are the prime factors of r?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 51645 by 1.\nAnswer: 51645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77257 is divided by 283?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(-1\/4)))**(-8)*t**(-2)*t*t**(1\/21))**(-5) assuming t is positive.\nAnswer: t**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h**2 - 2*h + 5. Suppose -15 = 11*s - 16*s. Suppose s*a + 12 = 7*a. Let y be t(a). What is the greatest common factor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45117, -88455, -131793, -175131, -218469?\nAnswer: -261807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 39*o. Let m(a) = 5791*a + 5907*a - 11825*a. Determine u(m(i)).\nAnswer: -4953*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 + 1.42. Let k = s + -1. Let n be 0 + (1 - (-2)\/2). Sort -1, n, k in ascending order.\nAnswer: -1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13586 and 22.\nAnswer: 149446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 165, 350, 609, 942?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*((-24)\/(-9))\/(1\/(-3)). Solve 4*n - g = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 2  (b) 5  (c) 4  (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(19) + -4 - sqrt(19))*-6 + 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.8099 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-40 - -1)) + (46 - 69) + -2 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + s - 10 = 16, -160 = -33*n + 5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/3184 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 + (-7 - -10) + 2\/(-6)*0. Let b(z) = 800*z + 6. Let n be b(6). Is ((-1)\/(-3)*x)\/(36\/n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 79924 and 719316?\nAnswer: 719316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 8 = -4. Let c = 0 - 3. What is the second biggest value in c, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42323 (base 7) to base 8\nAnswer: -24326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, 3\/8, -270\/49, 0.1, 3, -2\/15, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(24)\/sqrt(3))**2 + sqrt(8).\nAnswer: 17 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4234642.92 rounded to the nearest one hundred?\nAnswer: -4234600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*v - 13*v + 3*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 + v - 2. What is m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 882 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 4*v = -18*c + 1654407, 3*c - v = 1654377. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 15*x**2 + 15*x + 18. What are the prime factors of q(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 380, 70, -236, -538, -836?\n\"Answer: 2*o**2 - 316*o + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112) + 4*sqrt(112) + -5.\nAnswer: -5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3254 = 4*j - 0*h, 3284 = 4*j + 4*h. Let w = 201423 - 201375. Calculate the highest common factor of w and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 34\/4 + 7\/(-14). Suppose -q - 3*r + o*r = 0, 2*q - 11 = -r. Let t = 9 - q. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/5 + (0 + 2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 263*z - 5*z**2 + 1 + 2*z**2 - 4*z**3 - 260*z. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/2587 or 1?\nAnswer: 4\/2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 + 82. What is the remainder when a is divided by (-3 - 26\/(-10))*-30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 678, 1519, 2696, 4209?\nAnswer: 6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (-7 - (0 - -1)). Let u = -7 - q. What is the closest to 0 in -0.1, u, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(1\/2)\/v)\/v)**5\/(v**(1\/4))**(-49))**(-2\/33) assuming v is positive.\nAnswer: v**(-19\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*u**4 - 1016*u**3 - 16704*u**2 - 113152*u - 274432 = 0. Calculate u.\nAnswer: -134\/5, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a + 6. Let f(l) = -9*l - 10. Let b(h) = -h - 1. Let r(c) = 6*b(c) - f(c). Let z(o) = 8*r(o) - 5*s(o). What is the first derivative of z(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, i: 2, r: 1}. What is prob of picking 1 d and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -651235*y**3 + 0*y + 6*y - 6*y.\nAnswer: -651235*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*q**2 + 8*q**2 - 21*q**6 - 18*q**2 wrt q.\nAnswer: -2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1782620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - -7 - 7 - (0 + 3). Calculate the remainder when 33 is divided by (18\/u)\/(1\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1569 = 12*d - 2739. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2, -5\/3, -0.5, -77\/2, 5, 0.5, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 108, -2, 2\/4283?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 0 - 15\/2*y**4 - 21\/2*y**3 - 3*y**2 + 0*y = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00705231 rounded to 4 decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1200 + 32 = -3*j, 2*k + 2*j = -2452. Let d = k - -8538\/7. Find the common denominator of 26\/7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 300231111 (base 4) to base 13\nAnswer: 6ca6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 4) + (80 - (-20 + 134))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, t: 9, v: 1, e: 5}. What is prob of picking 2 e, 1 t, and 1 a?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1)*c**(4\/11))\/(c*(c**(2\/5)\/c)\/c*c*c)**31)\/(((c*c\/(c**(1\/2)\/c))\/c)**(-26\/3)*c\/(c\/(c**(1\/4)\/c)*c)*c**(-2\/19)) assuming c is positive.\nAnswer: c**(-121977\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 96 = 4*b, -7*p + 10*p - 88 = 5*b. Calculate the remainder when 31 is divided by (5\/(b\/(-12)))\/(21\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 3*u - u**2 - 2 + u**2. Suppose 4*m = -5*p - 9, -m + p + 13 - 4 = 0. What is the tens digit of l(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1333940633 + 6*i**3 + 0*i + 0*i + 1333940633.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323115 (base 6) to base 15.\nAnswer: 7d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/(-6) + (-12)\/((-15)\/5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -44.728 - -45. Let x = c - 0.2745. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 16*q**2 + 10)*(0*q + 2*q + 0*q) + 4*q**3 - q**3 + q**3 to the form r + p*q + f*q**2 + l*q**3 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-32)\/12 - 8)\/((-8)\/12). Calculate the greatest common divisor of 26 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -y. Let m be ((-14 - 4) + 0 + 1)\/1. Let b(u) = u**3 + 17*u**2 - 2*u - 29. Let d be b(m). Put y, d, -3 in decreasing order.\nAnswer: d, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - 3*n**2 - 3*n + 2. Let r be l(4). Let a be 0 - r\/(-2) - 1. Let y(b) = -6*b**a + 2*b**2 + 3*b**2. Let k(o) = -3*o. Calculate k(y(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/459245 and 19\/55.\nAnswer: 5051695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 9*d - 6. Let x be v(7). Calculate the highest common factor of x and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5, 2, -13, -46, -103, -190, -313, -478?\n\"Answer: -s**3 + 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -k**2\/2 - 15. Let f(z) = 3*z - 1. Calculate -5*c(p) - f(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 29*t**2. Let m(s) = -2083494*s. What is v(m(w))?\nAnswer: 125887470193044*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/30*(-15)\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 9:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**3 + 6*y**3 + 4*y**3)*(-1 + 0 + 0) + (-3*y**3 - 4*y**3 + 6*y**3)*(-4 - 2 + 3).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-3)*t)**34\/((t**(2\/25)*t)\/(t\/(t*(t*t**(5\/2)*t)\/t*t*t))))**(-7\/4))**47 assuming t is positive.\nAnswer: t**(1226841\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83813 is divided by 1582.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 9*l - 3. Let q(k) = k**3 - 10*k**2 + 9*k + 8. Let m be q(9). Let h = -8 + 14. Let i(t) = 13*t + h*t - 5 - 5*t. What is m*a(g) - 5*i(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - u - 3*w = -13, 4*u = -4*w + 20. Suppose -u*h = -12 + 2. Suppose 12 = h*c + 5*g - 23, g = 1. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 143, 286, 429, 572?\n\"Answer: 143*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 48\/(-120) + 18\/(-5). Let l(f) = -f**3 - 5*f**2 - 6*f - 3. Let p be l(a). Solve -p*m - 11 = -m - 5*u, -m + u = 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 76*y**2. Let m(z) = 51*z**2. Determine 7*m(d) - 5*v(d).\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1060897562175 + 0.083?\nAnswer: 1060897562175.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5066 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 15*z**2 + 2*z - 24. Let j be l(-12). Let f(c) = -166*c + j*c - 135*c. Let q(s) = -s. Determine f(q(n)).\nAnswer: -83*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -36423618?\nAnswer: 36423624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5871 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/37?  (a) -0.16  (b) -1522  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80283.\nAnswer: 3, 7, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18.32 - 17.8. Let x = 0.55 + n. Let u = 32.9 - 33. Is u smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 29. Suppose 0 = m*y - 3*y + 7. What is the lowest common multiple of 10 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118808 is divided by 130?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -442.186 - -0.886. Let u = s + 463. Let r = -21.69999849 + u. What is r rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 6*o**2 - 3*o + 4. Let x be s(-5). Let r(z) = -5*z + 6. What is the units digit of r(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-68*l - 8*l - 17*l)*(-l - 5 + 5) + 11*l**2 + 4*l**2 + l**2 - l**2 + 5*l**2 - 2*l**2 to u + s*l**2 + m*l and give s.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.383 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d - 7. Let a(p) = 2*p - 1. Let l(o) = a(o) - f(o). What is l(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12.0245 + 0.0245. Which is the second biggest value?  (a) 3  (b) n  (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -372, -374, -378, -384, -392, -402, -414?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*280\/(-3276)*9.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1819 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/8)\/(6\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000251118 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3115 rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2814499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 123331 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 5*p**2 - 10*p - 50. Let t be s(-5). Factor t - q**3 + 1\/3*q**4 - 1\/3*q + q**2.\nAnswer: q*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 - 69*o + 40. Let v be q(34). Let n(b) = 2*b + 6. Let m(k) = 1. Calculate v*m(w) - n(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggzz when four letters picked without replacement from zzzgzgzggzzgj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2414 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1551856 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 527 + -3131\/6. Is s >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/3)\/((-6)\/(-9)). Let f be (p\/(-6))\/(1\/(-3)). Let t(a) = a**3 + 2*a**2 + 2*a - 2. Let d(u) = -2*u**3 - 3*u**2 - 3*u + 2. Determine f*d(m) + 3*t(m).\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 221, 334, 531, 824, 1225, 1746?\nAnswer: 2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*g - 32 = 0, 0 = -5*u + 4*g + 41 + 12. Let h(a) = -8*a - 9*a - u*a - 5 - 4*a. Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(17) - (sqrt(272) - (sqrt(272) + (1*sqrt(272) - sqrt(272)) + sqrt(272)))))**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.8 - 3.6. Let v = j + 1.4. Sort v, -3, 1 in decreasing order.\nAnswer: 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35 + 45. Suppose -5*d - f = -x, -2*x - 20 = -4*x + d. Calculate the highest common factor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*m - 3 - 4 - 37*m + (-2 + 2 + m)*(-1 + 4 - 2) to l*m + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 22*i + 3. Let c(l) = -7*l - 1. Let q be (15 + -14)\/((-36)\/(-8) - 4). What is q*m(t) + 7*c(t)?\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 10:21 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 2\/9  (b) -2  (c) 1  (d) -5\/4  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -22660*p - 249263. Calculate u(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3078, 11496, 25526, 45168, 70422, 101288?\nAnswer: 137766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 8:50 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3689 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (20\/5)\/(4\/(-18)). Let t be (u\/(-45))\/(1\/35). Let h = t - -7. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31640 = -555*d - 79*d - 157*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180680 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30 - (-3198)\/104)\/((-3753)\/72 + 6).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 7035507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 - r + 4. Let g be i(-3). Let h = -3425.5 + 3425. Let u = 1.1 + -0.1. Which is the closest to -3?  (a) u  (b) h  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 221 in 42, -2, 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is 25\/5*-1*2736\/180?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (220 + -224)\/(8\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.7 - -0.3. Let l be 3\/(-7) + (-312)\/546. What is the closest to d in l, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 3 - (5 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8, -7.\nAnswer: -7, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/((sqrt(72) - (sqrt(72) - (sqrt(72) - (sqrt(72) - 2*sqrt(72)) - sqrt(72))))\/sqrt(8)))**2 + (sqrt(192) - (1 + sqrt(192))) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 20*u - 26*u. Is u greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2519090 to the nearest 10000.\nAnswer: 2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2787*s. Let y(m) = 113*m. Give y(u(z)).\nAnswer: 314931*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 5*a = -35, -p + 0*a + 48216 = -a + 48221 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 2490173?\nAnswer: 6\/2490173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2346 or 1?\nAnswer: -2346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ocmommfmmqokffmfcfqf. What is prob of sequence ff?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -33. Let z be 3*u\/((-42)\/(-4)). Let o be (-3 + (3 - 0))\/z. Put -23, 5, o in ascending order.\nAnswer: -23, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -2*h + 12. Suppose 3*w + h*b - 10 = 4*b, 3*w = 5*b + 26. What is the second derivative of 0*g**3 + w*g - g**4 + 0*g**3 wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1189 - 1187. What is the nearest to -1 in -2\/21, q, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -144*z**2 - 1007*z + 14. Calculate the remainder when 5633 is divided by s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/(-5))\/(2\/15). Let k be (0 - -1)\/(4\/o). Differentiate -3 - 3*p**3 + 5*p**3 - 3*p**k wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6794 and 6106.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*w + 1188 + 2232 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 5:22 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/((-2)\/(-2*5\/(-15))). Which is the second biggest value?  (a) -4  (b) 1.6  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -736, -735, -734, -733, -732, -731?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6878 + -14375. Let n = j - -7511.114. Let k = n + -0.214. Round k to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/12*((-10868)\/39)\/38.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, u: 3, c: 1}. Give prob of picking 3 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17.6 + 17.600181. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 + 1204*r**2 + 1208*r - 1185. What is a(603)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 - (-11 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 262 (base 9) to base 7.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.02, 1, 33\/5, 3, -5\/4, 2 in descending order.\nAnswer: 33\/5, 5, 3, 2, 1, 0.02, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11278 - 11273. Solve 0 = 2*c - 4, 2*y + d*c = 4*y + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 5:50 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 PM and 8:39 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 50883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -237184908*j + 218178243?\nAnswer: -237184908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-12)*1530\/51.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11850095 to the nearest integer?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**4\/2 + 9*l**3\/2 + 42*l**2 - 90*l.\nAnswer: -3*l*(l - 6)*(l - 2)*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -10*(-1 + 4\/5). Let j(y) = 5*y + 17. Let p(b) = 20*b + 67. Let u(s) = c*p(s) - 9*j(s). What is the first derivative of u(w) wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/3328*24*(-900)\/(-135)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g. Let v(j) = 6*j + 9. Let s = 24 - 26. Let b(z) = s*d(z) + 2*v(z). Find the first derivative of b(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19988498 + -19988462.999972. Let g = t + -35. Round g to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11572672 or -11572673?\nAnswer: -11572672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256*g - 102*g + 340*g - 78*g = 24544 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 14*s = 5460. Calculate the remainder when s is divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 899 = 1335. What are the prime factors of i?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2*q = 182, s + 2*q + 46 = 8. Is 1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - 34*p + 68. Let z be m(32). Suppose 5*b = -f - 2, -5 - 17 = -z*f - 5*b. Calculate the smallest common multiple of 20 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19495 + 32059. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 347833293 by -349.\nAnswer: -996657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 13*n - 599. Let r(i) = 17*i. What is t(r(a))?\nAnswer: 221*a - 599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/4 of a second in milliseconds?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 675116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 38.34 and 7.13?\nAnswer: 273.3642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1))**(2\/27)*(u**2)**(-9\/4))\/((u\/(u**4*u))**(2\/63))**47 assuming u is positive.\nAnswer: u**(527\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -59 + ((-12 - -11) + 6 - 4)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33 - 29. Suppose 3*m - w*i - 155 = 0, 0 = -7*m + 3*m - i + 175. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23500 + 22096. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96384 is divided by 2920.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 5*f + 3, 8 - 11 = -4*f + 3*b. Let t = 24.006 + -0.006. Let y = t - 27. Sort y, 5, 2, f.\nAnswer: y, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20927 = 22*q - 215. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 832281?\nAnswer: 3, 277427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25478 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - j = -9548, -j - 2866 = -z - 474. What is the remainder when z is divided by 791?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05584145 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 220789194 to the power of 1\/2, to the nearest integer?\nAnswer: 14859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1652228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -235308155 and -0.3?\nAnswer: 235308154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 102605727671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3794045*g**3 + 2*g**2 + 7028279.\nAnswer: -22764270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/5, -5, -2\/7, -41\/3, -694?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 8*z - 5*z + z. Let n(d) = -10*d**2 + 10*d**2 - 3*d**2. Calculate a(n(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81601818 - 1631683171\/20. Let t = g - 17664. Calculate the common denominator of (2\/(-8))\/(18\/(-268)) and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(1029\/(-18)))\/((-5)\/35)*8\/(-6)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*r - 12*r = 0. Solve -2*c = -2*s, r = -5*s - 2*c + 4*c + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.034 + 10.966. Let z = l + -16. Which is the second biggest value?  (a) -2\/3  (b) z  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 225b1 (base 12) to base 2\nAnswer: 1011001011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03 + 1.97. Let b = 0 + o. Let w = b - 2.1. Is w greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 430 + 27*f - 1169 + 739.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 776994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**4 - 3*d**3 + d**3 + 6*d**3 + (2*d - 2*d**2 + d**2 + 2*d**2)*(-607187 - 7*d**2 + 607187 + 196*d).\nAnswer: -5*d**4 + 186*d**3 + 392*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-1725)*(-33)\/15 - (-2)\/46\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*((r\/((r**13*r)\/r))\/r)\/r*r*r**(-3\/19)*r\/(r\/r**(-2\/9))*r**(-3\/7)*r*r assuming r is positive.\nAnswer: r**(-12938\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (47*q - 47*q - 26*q**2)*(0 + 1 + 0)*(-2*q - 1 - 2 + q) in the form d*q**2 + h + g*q + a*q**3 and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68446433 to the nearest integer?\nAnswer: 8273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70100045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3 + 15*s + 4 + 5*s. Let m be i(2). Suppose -n = -m - 54. What is the highest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -321*t + 327*t - 12. Suppose 0 = 12*k - t + 26. Let l be 33\/9 + 2\/6. Put l, -5, k in descending order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 7*q**2 + 8*q - 7. Let y be n(6). Suppose 44 = y*d - d. Let -6*c + 21*c**4 - 9*c**3 - d*c**4 + 11*c**4 - 21*c**2 + 15*c**5 = 0. What is c?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/1399007 and -77\/378110?\nAnswer: 13990070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 22*q**2 + 12*q + 27. Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2326174937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 341 + 1210512?\nAnswer: 1211153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t**2 - 6*t. Let n = 2 + -8. Let f(p) = -9*p**2 + 11*p. Let q(y) = n*f(y) - 11*l(y). Let u(i) = 10*i**2 + 6*i. What is u(q(a))?\nAnswer: 10*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z + 2. Let m = -17 + 22. Let r be -3*m\/(-5) - -4. Suppose 3*k - 4 = r*k. Let a(w) = w + 1. Calculate k*h(q) + 5*a(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-363 - -313) + (29 - 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 23*q**3 - 2*q**2 - 4*q + 3. What is the least common multiple of f(1) and 1316?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -31. Let n = q + 28. Let x(i) = -85*i**2 + 1 - 1 + 90*i**n. Let r(g) = -4*g. What is x(r(b))?\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -20, -62, -140, -266?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3531 + -3530.987145. Round v to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 299 and 622817.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -330 + 335 + 2 + 0 + 0 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*9*(-8)\/6. Let b be ((-2)\/x)\/(6\/(-27)). Let m be 18\/27 + 2\/(-30). What is the biggest value in b, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from ewffewewyeeyweeewfee.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 217505.\nAnswer: 5, 41, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = o, -c + 1 = -4*o. Solve -c = -j, q + 3*j = 3*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -593606, -593552, -593498, -593444?\n\"Answer: 54*y - 593660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3839 a factor of 103069472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2*h + 15 + 5 = -11, -64 = 14*h + 216 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*5\/(-3)*-3)\/((-6)\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3*w + 1. Suppose 4*n = 2*n + 3*z + 10, 3*n - 3*z = 12. Let t(l) = -4*l + 1. Suppose -15 = -2*p + 7*p. Calculate n*t(x) + p*c(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 87951724 - -1?\nAnswer: 87951725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -182, 5\/2, -0.3, 1061, -3, 3\/5, -2\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-27044)\/6*(17 - 74\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73044 (base 14) in base 13?\nAnswer: 99235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -48 - -7c4?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/104 and -17\/260?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + z - 11 = 0, -3*p - 4*z - 12 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - g - 5*o = -80, 3*g = -4*o + 52. Let m(d) = -2*d**3 - 1 - 14*d + 3*d**3 + 3*d - g*d**2 - 6. Is m(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -6, -0.9559, -1\/9 in increasing order.\nAnswer: -6, -3, -0.9559, -1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d\/(d**(-2\/3)\/d)*d)))**(10\/9)\/(d**(2\/11)*d**6\/d*d*d*d))**(-30) assuming d is positive.\nAnswer: d**(12200\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 2398328?\nAnswer: 11991640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 95 and 308750?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o - 59. Let u be j(-22). Suppose -3*h = -5*k + u, 0 = -h + 4*k - 0 - 7. Which is the second biggest value?  (a) 1\/2  (b) h  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.428 - -1.3866. Round p to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*x - 99*x = -58 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-34)\/(-68) - 1\/4. Let k = -12 + 6. Which is the nearest to -2\/11?  (a) q  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124 = 7440*v - 7529*v + 54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(-3*a**3 - 4*a**2 + 4*a**2).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 5. Let h = -14 + 19. Suppose -m + 6*v - 4*v = -12, -m = h*v + 16. What is the highest common divisor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -153*d + 614*d - 1506548. List the prime factors of d.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 2*q - 10, -v + 3*q + 21 = v. What is the lowest common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 795974629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*v - 75 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*x**2 + 3)*((x + 8*x + x)*(-2 + 1 + 3) + x - 3*x + 3*x + (-2 - 1 + 4)*(7*x - 3*x + 0*x))*(1 - 4 + 0).\nAnswer: -150*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28931 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirteen ninths of a hour?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -24  (b) 5\/2  (c) 2\/17  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6183685 is divided by 1494?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-1\/7)*y**(3\/2) assuming y is positive.\nAnswer: y**(37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of -3*p**2 + 1\/4*p**4 + 3 - 1\/70*p**7 + 3\/20*p**5 + 0*p + 0*p**6 + 0*p**3. Factor c(o).\nAnswer: -3*o*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**2 - 4*u**2 + u**2 + 6*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*b - r, 2*r - 3 + 11 = 3*b. What is the smallest value in -2\/23, b, 0.2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 1\/3, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 11*p**2 + 11*p - 22. Let t be q(-10). Let y = t + 36. Solve -1\/2*o**2 - 2*o**5 + 0*o - 4*o**y + 0 - 5\/2*o**3 = 0 for o.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 12\/(-50))\/((-52)\/10 - -5).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 3:00 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(288)*3)**2 + 4 - -3*((3 + sqrt(2) + 1)*5)**2) + -2.\nAnswer: 600*sqrt(2) + 3940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddddddkdddddddd.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333465130 is divided by 858.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -10, -1\/4, 0.1, 0.4, -18\/41, 0.07, 0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 7:33 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mgmnnmuhmtnh. What is prob of sequence mhtg?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/2*(-475)\/(-11875)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 4*c = 8, -4*o - 209*c - 20 = -212*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 + 2*s + 1)*(7 - 4 + 2) in the form w*s + c and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 221936, 443581, 665222, 886859?\n\"Answer: -2*r**2 + 221651*r + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 10*p**3 - p**2 + 1. Let x be s(-1). Let w = -3 - x. Suppose 5*d + 10 = 6*d. Calculate the smallest common multiple of w and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.06 - -1.54. Let j = -20.6 - n. What is j rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 5. Let l be p(6). Let m = 511 + -514. Which is the closest to 1?  (a) l  (b) m  (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -71*m**3 + 4*m**2 + 59*m - 142. Is o(-9) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55432789*z**4 - 463142751*z?\nAnswer: -665193468*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x**2 - 4*x + 1. Suppose -5*y - 1 = 4, y + 16 = -3*u. Let c = -4 - u. Suppose -2*d - d - 5*o + c = 0, 2*o = 4*d + 16. Give w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -183?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 95*z + 1. Is p(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*g + 145 = -44*g + 3*s - s, 33*g + 4*s + 1699 = 0 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a - 3*a + 7*a - 3*a + a - a - 1 + 3*a + 1 + (5*a - 3*a - 3*a)*(-4 + 3 - 2) as y*a + p and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 26 = 4*l, 19 = 2*w + 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 - -44. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c. Let i(z) = 22*z**2 - 628 - 619 + 1247. Calculate j(i(r)).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1464 and 7137?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -1001001112012202?\nAnswer: 1001001112012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, u: 2}. Give prob of sequence usu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -289 in -0.8, -0.05, -2, 1, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -362177070*b*l*x**2 + 388*b*l + 322501*b + l*x wrt x?\nAnswer: -724354140*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 941151976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-2)\/4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.8 + 0.2. Let q = 1450.2 + -1325. Let g = q - 125. Which is the third smallest value?  (a) k  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 - 5*q - 2. Let k be s(-4). What is the greatest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 53 and 14655?\nAnswer: 776715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/(-35) - (-904)\/28. Solve -21*p = -5*p + o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/11, -14, -1\/8, -1\/5578?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11926, 24073, 36222, 48373, 60526?\n\"Answer: w**2 + 12144*w - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 less than 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from fpffpffpfppppfppffpf.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -78*v**3 - 4*v + 7. Let s(j) = 156*j**3 + 9*j - 15. Calculate 6*s(o) + 13*u(o).\nAnswer: -78*o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 105\/28 - (-5)\/20. Suppose 4*g = -c + 119, 2*g + r*c - 72 + 16 = 0. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16974 (base 13) to base 8\nAnswer: 124537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*h**2 + 31*h**3 + 3 - 26*h**3 - 156*h**3 + 28*h**2)*(h - 3*h + h).\nAnswer: 151*h**4 - 11*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 11:39 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 98770877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17\/368595 or 2?\nAnswer: -17\/368595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/45 smaller than 4\/3661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) + 1 - sqrt(176))*-6 - sqrt(176))**2*2 - ((-2*sqrt(891)*-3)**2 + (sqrt(891) + sqrt(891)*2 + sqrt(891))*-1).\nAnswer: -31652 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 39, 106, 221, 396, 643, 974, 1401?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -h + 4504 - 1779, -4*h + 20 = 0. Let u = 1865 + j. Suppose -3*x - 4*t + u = 0, 8*t - 3*t = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - (-2 - -6) - -2. Let i(s) = 107*s**3 - 2*s**2 + 3*s. What is the tens digit of i(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (1 - -2) + -3 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 0*a = 120. Let w be 8\/a - 62\/(-6). Calculate the greatest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 21, 5, -13.\nAnswer: -13, -1, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10677 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 4 - 0, 4*p - 8 = -5*m. Suppose 0 = -5*k + 35 - m. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, h: 1, i: 4, r: 1}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2467522 to the nearest 1000.\nAnswer: 2468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1855475 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 4*k**2 + 3*k + 9. Let u be m(-4). Let w = -12 + 8. Which is the biggest value?  (a) u  (b) 1\/11  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + (-15 - 1) - (-4 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1948 + 2018. What is the highest common divisor of t and 3290?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*m - 3 = -z, -4*m = -z + 3. Solve -5*a + 5 = -z*o, o + 0*a = -2*a + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 12*j + 252. What is l(-23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 2, -2, -1\/68, 9, -4 in descending order.\nAnswer: 9, 2, 0.4, -1\/68, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011 - -110000?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 115.16 - 1.26. Let z = d - 114. What is the second smallest value in -1, z, 9, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4 - 52*x**3 - 6*x**4 - 204*x**2 + 48 - 268*x - 97 - 63.\nAnswer: -4*(x + 1)**2*(x + 4)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -315*p + 3*p**2 - 2 - 4*p**3 - p**3 + 0*p**3 - p**2 + 313*p. Determine d(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.846 - -0.379. Let a = 636.467 + q. Let d = -634.99689 + a. Round d to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 486 - 497. Let q(z) = z**2 + 22*z + 127. Let y be q(m). Let t(d) = d**3 - 7*d**2 - d - 3. Determine t(y).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d - 14. Let a be o(4). Let q be -5 + a + 6 - 3. Let r(g) = -g - 1. Let n(l) = -5*l. Let p(c) = -n(c) + 4*r(c). Calculate p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 5:16 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52246076 and 2476.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 + -19. Solve -u = 4*v - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-4*(sqrt(5) - (sqrt(720) + 0)))**2 + ((sqrt(500) - (sqrt(500) + -2))*4)**2).\nAnswer: 19488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4\/4 - 6207*j**3\/2 - 12854691*j**2\/4 - 6418038*j - 3207468.\nAnswer: -3*(j + 1)**2*(j + 2068)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + r**2 + r - 1. Let l(t) = t**3 + 3*t - 3. Let o(x) = -2*h(x) + l(x). Suppose -21*s - 83*s = 208. Give o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)*3*1 + sqrt(136)*2*-1 + sqrt(136))\/(-5*sqrt(56)\/((sqrt(7) + -1*sqrt(7) + sqrt(7) + sqrt(7))*-6)).\nAnswer: 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 3524639*t - 3524637*t + 26 = 0, -4*y = 7*t + 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*f - 4 = -144*f. Which is smaller: f or -9\/203?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2321216 (base 7) to base 2\nAnswer: -1000111000010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + g - 21 = 0, 5*p - 1666 = -39*g - 1602 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -10*z**5\/9 + 4*z**4\/3 + 8*z**3\/9 - 4*z**2\/3 + 2*z\/9 = 0.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + -1. Let i be (2 - (2 + p)) + -2. Let s(n) be the first derivative of n**3\/3 - 4*n**2 - 3*n + 206574. Calculate s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 10)*18\/27. Suppose 2*y - 377 - 105 = 4*k, 0 = -2*y + o. Let d = k - -215. Calculate the remainder when d is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s + 3*s + 6*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.29 in 4, 7, 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - w = w + 14, -3*f + 4*w = -22. Let z(o) = -o**3 - o**2 + 4*o + 12. Let y be z(0). Suppose 5*g = 4*n + 9, f*n - y = 3*n. Solve -2*l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, v: 7}. Give prob of picking 4 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (-47 - -69) + 13 + -11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**5\/6 + 39*y**4\/2 - 123*y**3\/2 - 9229*y**2\/6 - 2813*y - 1356 = 0. Calculate y.\nAnswer: -6, -1, 12, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 319939416 to the nearest integer?\nAnswer: 17887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 55 - 5*q - 25)*(5 + 2 - 4).\nAnswer: -15*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 12*z - 15. Suppose -15 = -5*u + 35. Let o be y(u). Solve 3*h = 4*s + 1 - 0, -o*h - 5*s - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 1478*d**2 - 79811*d - 59. Determine u(54).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from nnnjjjjnqqnnnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 433.1682us in milliseconds?\nAnswer: 0.4331682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 0.1, 396, -0.03 in increasing order.\nAnswer: -0.03, 0.1, 22, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*f + 5 = 0. Sort f, -1, -4 in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, s: 6, e: 2, j: 3, m: 2}. What is prob of picking 1 o and 1 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of i**2 + 218. Let l(v) be the second derivative of v**4\/3 - 3*v**2 + v. Calculate l(r(n)).\nAnswer: 16*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q**2. Let g(x) = -9280084*x**2. Calculate g(j(u)).\nAnswer: -454724116*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262363 is divided by 927?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 17  (b) -71  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2300 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.199905 - -11.2. Round g to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 40\/(-1) - (2 - -2). Suppose c = 6*c - 100. What is the least common multiple of (-184)\/f + (-6)\/33 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -298*l**2. Let f(g) be the first derivative of 2*g**3\/3 - 983. Determine w(f(m)).\nAnswer: -1192*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of m**4\/2 - 4*m**3\/3 - 17*m**2. Differentiate z(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186249 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.297003 days?\nAnswer: 25661059.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -1101*a**5\/5 + 2199*a**4\/5 + 6*a**3\/5 = 0.\nAnswer: -1\/367, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 28 + 36 - 4*k + 44 + k. Let u be r(37). Let l = 6 + -6.4. Which is the nearest to l?  (a) 0.2  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -h + 4*o, -5*h + o + 18 = 5*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*u = 170*u - 190. Solve -2*n = -4*i + i - 12, 0 = -5*i + 3*n - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(15\/(-9))*(-4)\/(-6). Let z be (-5)\/(-20)*0 + 6\/u. Sort 6, 0, z in decreasing order.\nAnswer: 6, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13580948*i - 37861439.\nAnswer: 13580948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/7, -1, -1782?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from obumfyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -156826 bigger than -152501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-9)\/15*(-24)\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*c + 138 = 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 363 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3\/4 + 1969*a**2\/2 + 4158921*a\/4 + 136171062.\nAnswer: (a + 152)*(a + 1893)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f + 8. Let j(y) = 3*y - 7. What is -4*i(r) - 3*j(r)?\nAnswer: -r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1453632 (base 7) to base 9.\nAnswer: 331823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4761742 and 40528?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27001 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1723.773 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -70.65 - -70.65. Which is the third biggest value?  (a) -2\/69  (b) -8  (c) -0.1  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5651*y + 5651*y + 509*y**2)*(-4*y + 6*y - y) to the form x + j*y + w*y**2 + c*y**3 and give c.\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*-7*(-6)\/6. Let w = 8 + 15. Solve z = -5*t + 2*q - 10, -3*t - w = 2*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 13*f**5 + 7*f**3 + 9*f**2 + 7*f. Let q(h) = 9*h**5 + 5*h**3 + 6*h**2 + 5*h. Let w(c) = 5*m(c) - 7*q(c). Find the third derivative of w(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.11 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 73*x. Let i be a(3). Let h = -85 + i. Suppose 4*m = -2*c + 202, 3*m - 35 = 2*c + h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7955847 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -2*x + 4. Let g = -2 - -3. Let k(d) = -d - 1. Let y(m) = g*w(m) + 5*k(m). Suppose -5*a - 7 = 3*i, -a + 2*i + 21 = -3*i. What is y(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 57 + -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 3.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -212021122?\nAnswer: 212021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m + 6. Let p be g(6). Solve -5*t - 5*s - 15 = -0*s, 2*s = t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 32\/5 of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13671*o - 13602*o = -276 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*c - 27 + 27.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.8 - 4.2. Put -2\/7, n, -3 in ascending order.\nAnswer: -3, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 496425249*z**2 - 767245171 wrt z.\nAnswer: 992850498*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -31 - 3*w + 77 - 68. Calculate l(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -45 - 40. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 4:40 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 99717, 99037, 97909, 96333, 94309?\n\"Answer: -224*a**2 - 8*a + 99949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2407, -2377, -2235, -1903, -1303, -357, 1013, 2885?\n\"Answer: 13*l**3 - 22*l**2 + 5*l - 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u + 6. Let n be o(5). Let w(g) = 5*g + 2. Let q(v) = v. Let h(x) = -4*q(x) + w(x). What is h(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52481917 to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 142522762 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(594\/(-2134)) - (-42)\/189.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: -1239 divided by -196\nAnswer: 177\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1279.02 - 1280.02. Let p = -124483\/64 - -1945. Sort o, p, 2 in decreasing order.\nAnswer: 2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1444904 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*n - 74 = -65*n + 14*f, -10*n - 5*n = 2*f - 662 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273296169 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 7 - 1 - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-17)\/(i\/i**(-31)) assuming i is positive.\nAnswer: i**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n - 6. Let j be g(-4). Suppose 24*b = 22*b + 12. Find the first derivative of -6*r**j + 154 - 170 - b*r**2 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000069246 to 7 dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-13350)\/(-20)*16\/6. Let z = l + -1125. List the prime factors of z.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 486.33 + -486. Put m, 0, 2 in decreasing order.\nAnswer: 2, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11545?\nAnswer: 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -71 * 0.1.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)\/(sqrt(70)\/sqrt(7)))\/(2*sqrt(9)*6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1716*0.4.\nAnswer: -686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5451 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1814d (base 14) to base 7.\nAnswer: -341526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2173*l*q**2*v**3 + l*q**2 - l*q*v + 2*q**2 - 42*v**2 wrt v.\nAnswer: 13038*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 943 - 628. Suppose 81 = -0*w + w - 2*q, -4*w + 5*q = -c. What are the prime factors of w + 3*10\/(-15)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o**4 + 0*o**4 + 2 + 3 - 2*o**2 - 6. Let s(l) = 7*l**4 + l**3 - 5*l**2 - l - 2. Let z(b) = 5*j(b) - 2*s(b). Factor z(v).\nAnswer: (v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122837150 rounded to the nearest one hundred thousand?\nAnswer: -122800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -2, 342.\nAnswer: -2, -1, 4, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1297887\/92 - 42322\/3. Calculate the common denominator of l and 1\/506.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 2) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000020068 rounded to seven dps?\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208) + -4*sqrt(208)*1 + -6*(sqrt(208) - sqrt(208)*-1))**2*-1 + 5.\nAnswer: -46795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011 (base 3) to base 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 21 = z, 2*d - 2 = -2*z + 52. Let m(v) = 2628*v**2 - 15769*v + 8. Calculate the smallest common multiple of m(6) and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of 1\/3*a**3 - 7 + 0*a**2 + 4*a. Let h(m) = 9*m. Calculate h(b(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -5\/6*c**4 + 0 + 155*c - 123\/2*c**2 + 1\/6*c**3. What is the first derivative of w(l) wrt l?\nAnswer: -20*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 318 = -3*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 5*f + 22, -5*f = -o - 3*o + 26. Suppose 2*b - b = o. Let r = b - 2. Solve s - 2*s = -r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-6)*1 + 0. Which is the closest to -1?  (a) f  (b) -0.1  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3332, -7440, -18592, -40310, -76116, -129532, -204080?\nAnswer: -303282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - -1399*(-2)\/936. Let t = -773\/1170 + u. Calculate the common denominator of 93\/38 and t.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.085?  (a) 4\/5  (b) 5\/2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, j: 7, h: 5}. What is prob of sequence jjh?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 4*k**2 + 13*k - 43. Let j be u(4). Calculate the greatest common factor of 6957 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 1:11 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -90, -125, -162, -201, -242?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92, -184, -274, -362, -448, -532?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111211010 - 22?\nAnswer: 111210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -3*k + 3. Let z(q) = 8*q - 9. Let y(v) = -11*n(v) - 4*z(v). Let c be y(-3). Suppose h - 4*l + l = c, -l + 35 = 2*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 594 and 0.5.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 0*y - 4*y + 2*y. Let k(b) = -5*b - 4. Let m be k(-3). Let l(c) = m*c - 3*c**2 - 11*c. Calculate q(l(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 155542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -362668*r**3 - 6*r**2 - 3571424 with respect to r.\nAnswer: -1088004*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 3  (b) -0.1  (c) 1.9  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.5  (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1314832 and 36038?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - -24 - -27) + -37?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -15760000 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -88*y**2 + 431*y + 16925?\nAnswer: -176*y + 431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.11?  (a) -2\/11  (b) 0  (c) 3  (d) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus 2.01?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1260\/(-21)*(20\/12 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r**3 - 16*r**2 + 12*r + 4. Let x be n(-6). Let f = -6.9 + 7. Put 0.2, x, f in ascending order.\nAnswer: f, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -189b?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.276 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27488, -109947, -247380, -439787?\nAnswer: -687168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-1\/16)\/x))\/x**1 assuming x is positive.\nAnswer: x**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91759 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 20.53*46.742\nAnswer: 959.61326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37687, 37686, 37685, 37684, 37683, 37682?\nAnswer: 37681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 208b1 (base 12) to base 11.\nAnswer: 2a140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15178993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pip when three letters picked without replacement from {z: 1, i: 9, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 12*j + 3. Let u be d(12). Solve 4 = u*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20259 - 142543\/7. Let f = n - -104. Suppose -2*o - 4 = -3*t, 5*t = -5*o + 15 + 25. Sort 0.3, t, f.\nAnswer: f, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, j: 1}. Give prob of sequence yy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 227747 - -5.\nAnswer: 227752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (872*x**3 + 141 + 790*x**3 - 140 + 1619*x**3)*(-3 + 3 - 2*x).\nAnswer: -6562*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9682.39ug in grams?\nAnswer: 0.00968239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 0*h - 4*h + 8*h. Let a(c) = -12*c**2 - 60*c + 5. Let x(s) = 6*s**2 + 36*s - 3. Let i(p) = 3*a(p) + 5*x(p). Calculate g(i(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 970 = -577. Let g = 227 - y. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*l + 3*l**2 - 96*l + 34*l.\nAnswer: 3*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3719086774 to the power of 1\/3, to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t - 2135 + 2135.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0382 - -0.0382. Sort n, -6.3, -0.3, -4.\nAnswer: -6.3, -4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 18 + -2 + 6 - (55 - 52)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 266, 1068, 3178, 7196, 13722, 23356?\nAnswer: 36698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -2*p - 80. Suppose 3*d = d + p. Suppose 0 = 4*g + 5*x - 147, g - x - x - d = 0. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3964754*1.6\nAnswer: 6343606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s - 4. Let v(c) = -c**2 - 5*c + 4. Let t be v(-6). Let h be f(t). Let i = 3 - h. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 711*t**2 - 27021*t + 48. Give b(38).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 243 and 8197443.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68 - 71. Let b(o) = o. Suppose 6 = 2*d - d. Let m(i) = -3*i + 20. Let p(v) = v - 7. Let n(t) = d*m(t) + 17*p(t). What is z*b(s) - 2*n(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -78*x - 971. Give b(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-4*1*sqrt(576))\/(sqrt(84)\/sqrt(7) + sqrt(24)\/sqrt(8)*4).\nAnswer: 32*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*w + 88*w + 3003 = 46*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 55507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 9*a - 3. Let p be d(-8). Suppose 2*l = p*l - 18. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233 is divided by 72.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 342434 (base 5) in base 2?\nAnswer: 10111111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r - 12 - 10 + 23)*(5 - 3 - 1)*(2*r + 3*r - 6*r) as s*r + o*r**2 + w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 + 4 - 0)\/(-2). Solve w + 3*w = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/10 + (-1155)\/525. Sort -4, 118, g in decreasing order.\nAnswer: 118, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 385092079 + -385092068.29999909. Let i = o + -10.7. What is i rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*w - 10*w + 372 = 76 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9899775 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/1358615 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -1407713 and -1407713 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1506 = 6*k + 462. Calculate the lowest common multiple of k and 29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9387 divided by 9387.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 290*y**2 + 18*y + 53. Let s be d(-3). Suppose 2*g - 2*a - 5212 = -0*a, s = g - 4*a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -802 + 4363607.\nAnswer: 4362805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11393902 to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**2. Let i(b) = -2101227121*b. Determine i(y(v)).\nAnswer: 4202454242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -8*b**2 - 7*b - 5. Let v(a) = -3 - 9*a**2 - 3 + 7365*a - 7373*a. Determine 6*q(i) - 5*v(i).\nAnswer: -3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 4.185. Let g = p + -0.06. What is g rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m**2. Let c = -46 - -186. Let s(f) = -f + 1. Let d(t) = 35*t - 28. Let p(x) = c*s(x) + 5*d(x). Calculate p(k(v)).\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d + 2 = 15*d. Which is greater: d or -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49.6 - 1420.\nAnswer: -1370.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 3*j - 8 - 6, -j - 10 = -c. Find the third derivative of -c*k**6 - 2*k**2 - 3*k**5 + 3*k**5 - 7*k**2 wrt k.\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c + 2. Suppose -5*f + 25 = -3*w, 27 = 2*f - 3*w + 8. Determine j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 5610.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((15\/40)\/3*2). Let t be (1 + x)\/(0 - -1). Solve 20 = 4*b + h, -5 = -0*b - b - t*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*s + 15 - 46 = -15 - 16. Let i = -1 - -1. Let r = i + -1. Which is the nearest to r?  (a) -1\/2  (b) -6  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 7058.\nAnswer: 7057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 1:21 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415686044?\nAnswer: 2, 41, 2534671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + 0*m)*(-3*m + 16 + 14*m - 14).\nAnswer: -33*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 8*q + 15. Let m be p(5). Suppose 3*s = -m*i + 2*i - 246, -2*i - 3*s = -270. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2234 + -4242466?\nAnswer: -4245033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 7*t**2 - 7*t + 10. Let w be c(-8). Suppose 0 = 3*n + z - 119, w*n - 2*z + 3*z = 79. Let i = n - -2. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*g - 2*g + g + (-4 - 2*g + 4)*(4 + 2 - 4) - 2*g + g + 2*g)*(-2 - 1 + 2)*(553 - 333 + 450) to c + i*g and give i.\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1367872345 to the power of 1\/3, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vjttvjvvvvtvjj.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2118 is divided by 89?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(((-16)\/20)\/(-4)). Is -0.9 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12381*t**2 - 2195*t**2 - 4760*t**2 + 1200*t**2.\nAnswer: -18136*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1121406 divided by 1307\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 7. Suppose -u*n = -g - 5, 4*n - 4*g + 16 = 8*n. Solve 4*o - n = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22973\/332 + 9\/166. Let -49\/4*i**5 - 4 + 19*i - 133\/2*i**4 + 8*i**2 - v*i**3 = 0. Calculate i.\nAnswer: -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1643893 divided by -4\nAnswer: -1643893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0\/q)**(7\/9)\/(q**2\/q*q\/q**(-7)) assuming q is positive.\nAnswer: q**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/3 - 1 - -11. What is the highest common factor of 108 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -2. Suppose -a - 7 = -2*w, 7*a - 5*w + 21 = 8*a. Let t = -0.4 - -0.1. What is the closest to v in -3, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 3*p**3 - 90*p**2\/7 - 81*p\/7 + 30\/7 = 0.\nAnswer: -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -105 - -86?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 19*t**2 - 34*t. Let r be l(17). Solve w + 5 = -r*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 40*t**2 + 25*t - 50. What is k(2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*f - m + 2, 2*m = -f - 2. Suppose k = 3*h + 9, -h + k = h + 7. Let g be 0\/5 - (0 + h). Solve -4*y - g*x = -5*x - f, 2*x = y + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*f*j**5*z**3 - f*j**2 + f*j*z**3 + 2*j**3*z**3 - 4*j*z**3 wrt j?\nAnswer: 960*f*j**2*z**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x**3 + 22*x**2 + 6*x + 3. Let b(m) = 14*m**3 - 68*m**2 - 16*m - 8. Calculate -3*b(v) - 8*s(v).\nAnswer: -2*v**3 + 28*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -23*i**3 - i**2 + 8*i + 4. Let q(k) = -45*k**3 - 2*k**2 + 18*k + 9. Calculate -9*a(g) + 4*q(g).\nAnswer: 27*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 8*o**2 + 137*o + 417. Calculate n(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/10)\/(6\/20). Suppose 0 = -0*r - 129*r. Which is the smallest value?  (a) -14  (b) r  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 35669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 17 - (11 + -8) - 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 593, 14, 4, 16, -4, 1 in increasing order.\nAnswer: -4, 1, 4, 14, 16, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1610 + 1615. Solve 5*o = -5*w + 45, x*o - 33 = -2*w - 0*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 3*r + 42 = -2*o, -2*r + 38 = -3*o. Let v be o\/(-8)*(-2)\/(-25). Which is the third smallest value?  (a) -2  (b) 0.5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.11 - -104.11. Let s = 93.372 - -0.828. Let g = s - w. Round g to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -17, -34, -49, -56, -49, -22?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*n - 796, -12*n - y = -17*n - 2007. Let o = n - -406. Solve -o*x = 3*m + m + 15, 5*m = -5*x - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3367302.\nAnswer: 2, 3, 53, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3865296 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -29\/3  (b) -0.08  (c) 2  (d) 0.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 9:59 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5752.1 - 0.11?\nAnswer: -5752.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 357*g**2 + 18754*g + 144. Calculate x(-64).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -82*d**3*t + 31*d**3 + 2*d**2 wrt t?\nAnswer: -82*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -113 + 114. Sort -1, s, 2\/17, -21\/2 in ascending order.\nAnswer: -21\/2, -1, 2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*k - 37 = -1307 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3215164 and 18176.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 + 8*v - 14. Let x(q) = -8*q**2 - 15*q + 27. Let p(y) = -11*o(y) - 6*x(y). List the prime factors of p(-6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1217038608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 3323632340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -918.05 - -941. Let h = -23 + s. Let f = 0.05 - h. Which is the closest to f?  (a) -1\/11  (b) 2\/17  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -130*d**3*k**3*v**2 + 2*d**3*k**2 - 2*d*k**2 + k**3*v**3 - 25*k**2*v**3 wrt k.\nAnswer: -780*d**3*v**2 + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279405?\nAnswer: 3, 5, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 567 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1349*v**4 + 4188*v**2 wrt v.\nAnswer: -32376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/12682 and 73\/340?\nAnswer: 126820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**2 + 7*o - 4. Let w(f) = -8*f - 1 + f**2 + 12*f + 2 - 3. Give 3*h(j) - 5*w(j).\nAnswer: 4*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-21 - -3)) + (519 + -1)\/(-7)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 4. Let w(c) = -14*c + 2. Suppose -r - 4 = 4*v, v + 2*r - 6 = -0. Let k be w(v). Suppose -3*l + 12 = 4*o, -2*o - 3*l = -5*o + k. Determine x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**5\/30 + 5*x**4\/12 + 5*x**2 + 13. Let m(t) be the second derivative of i(t). Let h(p) = 2*p**2. Determine h(m(n)).\nAnswer: 8*n**4 - 80*n**3 + 200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 13 + 27 + -12 + 759. Solve -784*y = -i*y - 24 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 16. Let i be g(11). Suppose q = i + 9. Solve -3*h - 1 - q = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l. Let m(z) = -37*z**2 - 42*z**2 - 38*z**2 + 106*z**2. Calculate m(a(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 34 = -9. Solve y - 6*y = 5*g, 3*y = 2*g + w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1568468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4686 + -4685. Put 81, 0, w in decreasing order.\nAnswer: 81, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 175 - 72. What are the prime factors of g?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142 = -3*w - 56*c + 46*c, -c = -w + 2*c - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i + 1\/2*i**2 + 0 + 5\/6*i**3. Is l(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116534 is divided by 38684?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 9*f**2 + f + 13. Let i = -62 + 53. Let r = -18 - i. Determine z(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = t + y + 1, 4*t - 4*y - 24 = 0. Let g(p) = p**3 - p**2 + 2*p. Let w(a) = a**3 + a**2 - a. Give t*w(z) + g(z).\nAnswer: 2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {l: 2, p: 1, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 112379623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 3*b**5 - 57*b**4 - 294*b**3 + 402*b**2 + 291*b - 345 = 0.\nAnswer: -5, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 172934429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 9:24 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 11 - (49 + -33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 242*q**2 + 32*q + 547. Is v(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 2 t when four letters picked without replacement from {l: 14, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -15.87557.\nAnswer: 79.37785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -24*a**3 + 256*a - 259*a - 2*a**2 - 2*a**2 + 3*a**2 - 2. Does 24 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 7*d**2 + 15*d - 14. Suppose 0 = 4*x + f + 43, -5*x + 99*f = 101*f + 59. Calculate r(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + sqrt(1539) + sqrt(1539)*-3))*2.\nAnswer: -108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*w = 31, 3*f + 4*w + 1 = 2*f. What are the prime factors of -57*(-3)\/f*-1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-9)*t\/(t\/(t*t**(-17\/6)*t*t))*(t*t*t**(-1\/10)\/t*t)**(-5\/9) assuming t is positive.\nAnswer: t**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2919 - -2919. Factor 8\/13*b**3 + 0*b + z*b**2 - 10\/13*b**5 + 0 - 16\/13*b**4.\nAnswer: -2*b**3*(b + 2)*(5*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 842171.\nAnswer: 11, 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -562.0953877 - 3446\nAnswer: -4008.0953877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -81353.\nAnswer: -40676.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6 - (-16)\/(-12)*-6. Solve 4*k = -d + 15, 11*k = 6*k - y*d + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*-2*sqrt(119) - sqrt(119))\/(sqrt(21)\/(sqrt(3)*-1)))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3652*q - 1 + 893*q + 859*q + 895*q + 921*q.\nAnswer: -84*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(304) + 1))**2 - (((0 + sqrt(304))**2 - sqrt(304)) + -4)) + (0 + -1 + sqrt(684) + 3 + sqrt(684) + (1 + sqrt(684) + sqrt(684))*-5)**2.\nAnswer: 300*sqrt(19) + 43790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 + 4*h + 3. Let l = -16 + -28. Let q = l - -39. Determine s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 4*h**2 + 17*h + 9. Let p be t(7). Is p\/(-2)*(30 - 14) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -35, -60, -93, -134, -183, -240, -305?\n\"Answer: -4*p**2 - 13*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 124627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.53056 - 7.\nAnswer: -10.53056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 33*t**2 + 70*t + 7. List the prime factors of b(-30).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58.878 - -8.122. What is the second biggest value in 1\/6, 10, 4, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -1 - (-54 + 63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 179, 319, 445, 551, 631, 679, 689?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9563 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10.2626 and 20.3.\nAnswer: 30.5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3 - -2) + -1)\/(-5). Let f = 299\/5 - 291\/5. What is c in -4\/5*c**3 - f*c**4 + 6\/5*c - z*c**5 + 0 + 8\/5*c**2 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 - 11.7. Sort 0.5, 6, u in descending order.\nAnswer: 6, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53490383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 16 + 6 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 154 + -153.6. Which is the biggest value?  (a) -0.08  (b) s  (c) 1  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 7:12 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (1 - -1 - (19 - 14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -7, -35, -63, -91, -119?\n\"Answer: -28*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 5*o + 5. Let n be d(-5). Suppose 6 = 2*y - 0. Let p = y + n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 1:50 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1))**(2\/21) assuming g is positive.\nAnswer: g**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -5*t - 13. Let c be w(-8). Suppose c + 103 = 5*n. Let v(z) = z**3 - 2*z**2 - 6*z + 5. Let j be v(4). What is the greatest common divisor of j and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*z**3 - z**3 - 10*z**3 - 105*z + 23*z.\nAnswer: z**3 - 82*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 306852349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13322.\nAnswer: 2, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2972 + 83 = p - 4*s, 4*p + 3*s - 12277 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -21, 0, 5 in ascending order.\nAnswer: -21, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 2*s**2 + 2 - s**2 - 7. Suppose -k + 16 = 3*k. Calculate r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5556877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -14361 (base 7) to base 14\nAnswer: -1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143358210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t = 7*t + 34. Put t, -5, 5, 1 in descending order.\nAnswer: 5, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/28*672\/(-192). Let g = -5.7 + 6. Let h = 0.4 - g. Which is the nearest to h?  (a) -2  (b) -0.4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 45*n - 28 + 21 + 2974*n**4 - 87*n + 42*n - 20*n**2 wrt n?\nAnswer: 71376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 not equal to -155\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 395793 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**4\/2 + 81*p**3 - 2187*p**2\/2.\nAnswer: -3*p**2*(p - 27)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 243 + 223 - 5*v**2 + 220 - 672 - 3*v**2. Let c(h) = 1. Calculate -28*c(r) + 2*z(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from ttppppttttttp?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -6*v**3 - 2*v**2 - 2*v + 1. Let l be z(-2). Suppose -3*o = -l + 57. Which is the closest to 1?  (a) 5  (b) o  (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0395 + -34.3605. Let p = -32.4 - t. Which is the nearest to 0?  (a) 2\/5  (b) -5  (c) p  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/1*1\/3. Let o(s) = 3*s**2 + 15*s + 41. What are the prime factors of o(w)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/15)\/((12\/6)\/(14\/(-7))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88 divided by 222.\nAnswer: -44\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/4))**(-6\/11)\/(g*g\/(g\/g**3)*g**(-2\/3)) assuming g is positive.\nAnswer: g**(-229\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 6*q - 13. Determine t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j = 5. Let z be 3\/2 - 1\/(-2). Solve i = -z*i + 4*p, 0 = -j*i + p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 + 38. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 96, -1, 5 in increasing order.\nAnswer: -11, -1, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(2\/(-2) + 2). What is the common denominator of 7\/12 and y\/3 + 218\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 9*p + 12. Let v be j(-10). Solve -v*s + 3*y + 14 = -0*y, 3 = -5*s - 2*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-72)\/33 + 2 - (-8)\/44. Suppose 0 = -o - b*o + 7. Suppose o*p = -0*p + 350. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 times 6\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 9) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -12. Which is the closest to -1?  (a) -5  (b) -2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -943 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(-4*q**5 + 3*q**5 + 0*q**5) - 2*q + 2*q + 5*q**5 + (-2*q**3 - q**3 + 4*q**3)*(0*q**2 + 0*q**2 - q**2).\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 3, v: 9, e: 4}. What is prob of sequence mvm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 12. Let h be w(0). Let v be (h\/21 - 0)\/2. Suppose -3*g = -2*g. Which is the third smallest value?  (a) g  (b) -5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-8)\/(-20))\/(((-403)\/208650)\/(-31))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -420 = 2*k + 298. Let x = -336 - k. What is the remainder when 44 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/7 in 2\/19, -3\/4, -1.7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 12*v**2 - 156944*v - 2434174 wrt v?\nAnswer: 24*v - 156944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**4\/12 + 23*l**3\/6 + 11*l**2 - 6*l. Let h be c(-22). Solve h - 6 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 - 33. What is the remainder when 102 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**7\/14 - x**4\/6 + 18*x**2. Find the second derivative of h(s) wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32191 + 322537\/10. Let j = h - 226\/5. Let y = -18 + j. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4697265667 to the power of 1\/2, to the nearest integer?\nAnswer: 68537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44*a**4 - 16*a**4 - 39*a**4 + 10*a**4 - 1322*a + 492*a wrt a?\nAnswer: -1068*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 13*z**2 - 13*z - 16. Calculate j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**3 + 11*u**3 + 0*u**3 + (6 - 2 - 2)*(-5*u**3 + 3*u**3 + u**3) + u**3 - 1 + 1 + u**3 + 2*u**3 - u**3 + (0 + 0 + 2)*(-2*u**3 + u**3 - u**3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 171339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-10) + 24\/10. Let o = 0 - h. List the prime factors of (o + 14)\/(0 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rii.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143 + 4 = 3*z. Suppose 66 = 5*y - z. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 0*v**2 + 241\/12*v**4 - v**8 + 0*v**7 + 0*v**3 - 25 + 5*v + 0*v**6 + 0*v**5. Find the third derivative of q(h) wrt h.\nAnswer: -6720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -u + 5*x + 4, 28 = 4*u + x. Suppose -15 = -5*f + 5*b, 6*f + b = 4*f + 21. Calculate the highest common divisor of u and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50, -4, -1513 in increasing order.\nAnswer: -1513, -4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512503 is divided by 255350.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) 1  (c) 2  (d) -1262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a - 1. Let d be s(2). Suppose 64 = -2*h - 2*f + 236, -4*h = -d*f - 299. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -22.48 and -2.\nAnswer: -24.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294022 is divided by 147011.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -3. Suppose 2*s = 3*s + 3. Let v be (-4)\/(-12)*s*5. Put v, 5, f in ascending order.\nAnswer: v, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 9*b + 6. Let i be z(-10). Let g be i\/115 - (-4)\/(-10). Let d(n) = -95*n - 5. Does 20 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h*h**1*h)\/h)*h)**(-10))**(2\/7)\/((h*h**(-1))**(4\/17)*(h**4\/h)\/h**(-2)) assuming h is positive.\nAnswer: h**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -2*s**3\/3 + 45550*s**2\/3 + 820394*s\/3 + 3510122\/3 = 0.\nAnswer: -11, -7, 22793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 - 45 - 6800614*j**2.\nAnswer: -6800614*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 115361 - -0.3226662991.\nAnswer: 115361.3226662991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 2. Suppose 8 + 4 = x*l. Solve l*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -30*f + 55. Let v(g) = -5*g + 9. Let m = -8 + 12. Let y(d) = m*s(d) - 25*v(d). Is y(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*s + 75820, -230*y - 56841 = -233*y - s. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-1 + 3 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ljjljljjjljl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 52445351*m*v**2*x**2 - m*v**2*x - 3940*m*v**2 + 151*m*x wrt x?\nAnswer: 104890702*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 23172 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 509*l = 499*l - 90 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -104*z + 8546. Let y be u(90). Does -808 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22696 + 1304*a - 56*a + 11348 + 11348 to l + t*a and give t.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = y - 8, -q = -0*q + 2*y - 13. Let m(h) be the second derivative of 1\/20*h**5 + 2\/3*h**q + 0 - 1\/3*h**4 + 0*h**2 + 3*h. Factor m(w).\nAnswer: w*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 490817456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5*y**2 - 5*y - 1. Let q be i(4). Let g = 98312 + -98299. Solve g*h + 6 = -q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**5 - 174*t**4 - 186*t**3 + 516*t**2 + 879*t + 354.\nAnswer: 3*(t - 59)*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*j + 2. Let d(v) be the second derivative of -3\/2*v**2 - 2\/3*v**3 + 0 - 29*v. Give d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -458 - -101557?\nAnswer: 101088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 34?  (a) -0.5  (b) -2\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-two fifths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*z - 81. Let t = z + -9. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.00386 * -12333.5\nAnswer: 47.60731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 22 = 5*x, -19 = 5*w - 4. Let h(m) = 5 + m**2 - 1 - 5 + m. Let a(u) = 4*u**2 + u**2 - 357*u - 362*u - 365*u + 1088*u. Calculate x*h(t) - a(t).\nAnswer: -3*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -9*j + 20*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 8*o**2 + 20*o - 70. Let b be v(7). Solve -5*f - x - 22 + b = 0, -1 = -3*f + x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.3454 months to years.\nAnswer: 0.44545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 732849 and 43.\nAnswer: 732849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 508101 divided by 33?\nAnswer: 15397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = 69*o - 65*o. Let s = -13 - o. Solve -2 = s*k - 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/2)\/(-1) - -3. Suppose 4*h + 2*u - 70 = 0, 6*h + 5*u + 95 = 11*h. Calculate the highest common divisor of l and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 946*a + 6585. Calculate p(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(1\/3))**13\/(((u\/(u**(-4\/7)*u))\/u)\/u**5) assuming u is positive.\nAnswer: u**(296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - y = -0 + 1, 0 = -2*y - 6. Solve -q*s - 5*d - 21 = 0, d - 3*d = 5*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v - 3*d + 2 = 16*v, 5*v + 2*d = -17. Let j(q) = 5*q + 17. Determine j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123019748 is divided by 875?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -49. Let d be (-10)\/25*(-30)\/b. Solve -c - d*c + 20 = 4*w, w = 3*c + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 279 = 11*j + 2*r, j - 4*r - 47 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a + 7. Suppose 0 = -2*q - f - 9 + 4, -3*q = f + 8. Let l(o) = -6 + 2*o + 2 - 3. Let p(i) = q*z(i) - 4*l(i). What is the derivative of p(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*c + 542 = -0*c, 5*x = -3*c + 678. Suppose -2*v - 3*v - 2*d = -x, 55 = 2*v + d. Suppose 0 = -m + v + 31. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 88*r + r**2 - 88*r. Let j(c) = 4*c. Calculate m(j(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 195681*z**3 + 27622*z**2 - 4.\nAnswer: 1174086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 10 - 40 = 0. Suppose k + n = -q, 3*q - 1 + 11 = k. Let l = 106 - k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1744967036 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: Is 2086843 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10064?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**2\/2 - 780. Let f(g) = 3483*g**2. What is f(l(p))?\nAnswer: 3483*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29431279, 58862556, 88293833?\nAnswer: 117725110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 16091248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7949*j - 8032*j + 15835*j.\nAnswer: -146*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27409, -27408, -27407, -27406, -27405, -27404?\nAnswer: -27403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 789214705.\nAnswer: 5, 157842941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/10*(-2985750)\/(-75) + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78855 = -62*n + 81087 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 - -52. Suppose 5*r - 2*f = 44, 4*r - 14 = 2*f + 22. What is the least common multiple of r and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -29. Suppose m*f - f = 5*f. Solve 5*g + 5*b + 10 = f, -3*g + 8*g + 4*b + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102767435 divided by -20553487?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 436\/327*(-357)\/(-34).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4892 divided by -1223\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 5:31 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 2*f. Let h be p(3). Let w(g) = -g**3 + 4*g**2 - 5*g + 3. Let q be w(h). Let n(y) = -7*y + 4. Is n(q) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 23. What is the closest to 1\/2 in 5, q, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/1275 and 127\/406130.\nAnswer: 6091950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -242, -244, -246?\n\"Answer: -2*j - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-4)\/12*-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 32*r**2 - 2*r - 2. Let n be l(4). Suppose -476 - 322 = -3*q + 3*v, -2*q + n = 4*v. Suppose -d + 4*d = q. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7349377 to the power of 1\/2, to the nearest integer?\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.161 - 1.839. Which is the nearest to -0.1?  (a) 2  (b) -3  (c) g  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d - 11. Let i = 14 - 20. Let z be n(i). Suppose -v + z = g + v, 3*g = v + 10. Calculate the lowest common multiple of 1 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 7*c**2 + 7*c - 5. Let v be x(6). What is the units digit of -5 - -259 - (v - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 1\/6  (c) -2  (d) -32  (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94, 6, 0, 1, 4.\nAnswer: -94, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*z + 37 = -41 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-10)\/d*d)\/(d*d**(2\/7))*((d\/((d\/(d**2*d))\/d))\/d)**(-1\/4) assuming d is positive.\nAnswer: d**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2263864 is divided by 16054?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -8*r**3 - 25*r**2 + 11*r - 9. Let n(d) = 2*d**3 + 6*d**2 - 3*d + 2. Determine -2*m(c) - 9*n(c).\nAnswer: -2*c**3 - 4*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*t**2 - 3*t**2 + t**2)*(-1850 - 1131 + 51 - 5700) as g*t + v*t**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 7, s: 4, h: 3, r: 1, q: 1, j: 2}. Give prob of picking 1 s and 1 q.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 307178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -3  (c) 37  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 6*w + 9. Calculate o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(14\/(-16) + 1). Let y be -20 - 160\/90*-12. Which is the third biggest value?  (a) y  (b) 8\/11  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -284 + 279. Let b be (m\/50 - 3\/(-30))\/(-2). Solve b = h - 2*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 6*n**2 - 80*n + 80. What is the hundreds digit of v(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25, -50, -75, -100?\n\"Answer: -25*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.2794687 years?\nAnswer: 0.0002794687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**2 + 10*s - 4. Let z be p(-6). Suppose 7*t = -4*t - 44. Let b be (11 + -9)*(-6)\/t. Solve -b*v = v - z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**2 - 1970*i + 5 + 1006*i + 964*i.\nAnswer: 8*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20385 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = r - 25, 0 = -2*l - 5*r - 37 - 0. Let y(d) = 8*d**3 + 7*d - 6. Let n(m) = -23*m**3 - 20*m + 17. Let c = 7 + -24. Determine c*y(o) + l*n(o).\nAnswer: 2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of 12*o**2 - 24*o + 1. Let y be h(7). Suppose y = -l + 3*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4 = -3*m - 24, m - 3*j = -12. Let q(i) = -i**2 - 4. Calculate q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 135  (b) 1  (c) -11  (d) -0.2  (e) 729\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3521.384 millennia to decades.\nAnswer: 352138.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 106 - 54 = 0. Suppose 3*f = 47 - d. Suppose 3*x + 21 = -4*t + 7*t, -t = -f*x - 23. Sort x, 3, 5, -1 in increasing order.\nAnswer: x, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**2)**(-17)*((((b\/(b\/(b\/(b**(-9\/4)*b))*b))\/b)\/b)\/b)\/(b*b*(b\/(b*b*b\/(b*b**6)))\/b*b) assuming b is positive.\nAnswer: b**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6470?\nAnswer: 2, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 23*x**2 + 36*x - 46. What is i(-21)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 88*b**2 + 1. What is the units digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -12*n**5\/5 - 11*n + 3. Find the first derivative of z(b) wrt b.\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 14, a: 1}. Give prob of sequence tt.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 greater than or equal to 1174\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-2)*(-286)\/(-715).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 7*c**2 - 7*c + 1. Let n be w(-8). Let g be 8\/14*(n\/(-2))\/1. Suppose -7 = -4*a + 5, -g*a - 589 = -5*i. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 12*r**2 + 10*r + 6. Let h be y(11). Let d be (-11 + 10 + h)*(0 - 30). What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 838*a + 46452. Determine l(-55).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (42 - (-25 + 77)) + (0 - 14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**3 + 0*x**3 - 282*x**2 + 282*x**2.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -22*t + 22. Let k(g) = 9*g - 9. Let p = -2441 + 2429. Give p*k(y) - 5*b(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(-5852)*20 + 8\/(-76).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33 - n - 11358*n**3 + 5681*n**3 - 2*n**2 + 5675*n**3 in the form v*n + p*n**2 + q + u*n**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1967 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/1 + (-3 - (-1 - -9)). Let g be (-144)\/40 - (-2 + v\/(-5)). Is (2\/g)\/(2982\/996 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4130.218 nanograms in grams?\nAnswer: 0.000004130218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/7339 or 3632?\nAnswer: 1\/7339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(1425) + -2*sqrt(1425) + sqrt(1425))*6)\/(sqrt(300) - -1*sqrt(300)*1)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -144822*t - 70987?\nAnswer: -144822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3565\/207 + -17 + 1\/((-198)\/62).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 142562 and 258706.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0313 * -0.5.\nAnswer: -0.01565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.744407 to 2 dps.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 7. Suppose 0 = -3*x + 3*u + 345, r*x + 5*u = 6*x - 463. Suppose w = 3*t - 85, -3*t - t + w = -x. Calculate the highest common factor of t and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6, q: 4, s: 3, r: 3, d: 2}. What is prob of sequence sq?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-105)\/(-25) - -2*(-2)\/20. What is the biggest value in 1, u, -5, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*n - 46. What is the remainder when 52 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a319b1c + 0?\nAnswer: -1a319b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 + -1.3. Let u(v) = -v**2 - 16*v + 37. Let l be u(-18). Which is the third biggest value?  (a) 2\/17  (b) t  (c) l  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n + 1. Let l be g(1). Solve -2*s - 6 = -l*s - 4*j, s + 5*j - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 170 - 59. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -3. Let h(a) = 4*a**3 + 3*a**2 + 2*a + 4. Let m be h(k). What is the tens digit of m\/120 - 146\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1215690 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3*99\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - 0 - 2*2. Let s(x) be the second derivative of 633*x + 0*x**2 - 1\/6*x**3 + 0. Give s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 11:00 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/1*(15\/3)\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000090574108 to 7 decimal places.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**4\/4 - 173*q**3 - 3141*q**2\/2 - 6*q + 188. Factor b(x).\nAnswer: 3*(x - 349)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(4\/16*20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -15271.42984 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 7*s. Let w(g) = g**2 + 2*g - 1. Let x be w(-3). Let j(n) = -3*n - x*n + 5*n - 2*n. Determine j(a(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 11328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -22, -43, -64, -85, -106, -127?\n\"Answer: -21*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -20, -29, -1\/2, -9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2 + 212*g + 659. Let l be d(109). Sort 3, l, 2, 22, -27 in descending order.\nAnswer: 22, l, 3, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n + 1. Let y be (-6)\/(-3)*(54 - -7). Suppose -3*w - 244 - y = 0. Let i = w + 122. Determine z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from bvnsssddbnsbbsnssvbd.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -14375*0.4\nAnswer: -5750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0876143114 rounded to four dps?\nAnswer: -0.0876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1086830 by -108683.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1*-2*483\/56 and -89*(-2)\/44 - 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 140 + (39936\/(-8))\/78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 18, 27, 50, 93, 162?\n\"Answer: r**3 + r**2 - r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nin when three letters picked without replacement from {n: 4, i: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3*o - 22 = 3*z, 0 = -2*z - 4*o + 4. Let x = -2 - z. Suppose -x*m + 5*b = -0*m - 2, 0 = 3*b - 6. Solve -3*c = -j + 6, 0*c = 2*c + m*j + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 6 = -0*r. Suppose -2*q + 2*k + 6 = -0*q, r*q = -4*k + 36. Suppose -v + q*v = 280. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (79 + 71*i - 133*i + 57*i)*(3*i - 2*i - 3*i) to the form c*i + s*i**2 + r and give c.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of t**5\/10 - 7*t**2\/2 - 19*t + 17. Let x(d) be the first derivative of o(d). What is the first derivative of x(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124928 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x = -5*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 888.59488 to the nearest ten.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 7:39 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -457 <= -427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86546 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1\/4  (b) 7\/2  (c) -5  (d) 22\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-4)*(-188)\/235. Put -3, o, 41, 4 in decreasing order.\nAnswer: 41, 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -93682*b**3 - 141674*b**2 - b?\nAnswer: -562092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*k**5 - 532*k**4 - 32404*k**3 - 271884*k**2 + 794088*k - 233280 = 0. Calculate k.\nAnswer: -24, -15, 1\/3, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 417*h - 10 + 15 - 415*h.\nAnswer: 2*h + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80939.73g to nanograms.\nAnswer: 80939730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -29?  (a) 15\/22  (b) -10  (c) -0.3  (d) -4  (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 40 + 2 = 0. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1020021030202 - 11?\nAnswer: -1020021030213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-54)*3*(-3*1)\/((-311)\/(-1555))?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8472, 8392, 8294, 8172, 8020, 7832, 7602, 7324?\nAnswer: 6992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3190 and 6866620.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*10\/8*(-4)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 = -8. Let t(o) = -4*o. Let g(l) = 2*l. Let y(j) = q*t(j) + 11*g(j). Let i(c) = -8 + 8 + 2*c**2. What is i(y(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (10 + -11 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*m + 32. Factor 21*y**2 + 2*y**3 + 12*y - 14*y**4 - 8*y**4 + 19*y**4 + m*y**3.\nAnswer: -3*y*(y - 4)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51 + 0*a**3 - a - 3*a**3 + a**2 + 34 + 24 to the form f + r*a + v*a**3 + o*a**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s - 12*s + 9*s. Let k(h) = -11*h**2 + 6*h - 6. Let u(j) = -120*j**2 + 65*j - 65. Let t(v) = -65*k(v) + 6*u(v). Give t(a(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 16*o + 26. Does 8 divide t(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5626054?\nAnswer: 2, 7, 401861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**3 - 576*q**2 - 20746*q - 20172 = 0.\nAnswer: -246, -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 4*i**2 - 2*i - 1. Let v(q) = 2*q**3 + q - 1. Let j be v(1). Suppose o - 2*d = -j, -66 = 3*o + 2*o + 4*d. Let t be ((-12)\/o)\/(9\/30). Give g(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 5*l + 20 = 5*u, 5*l + 3*u - 18 = 0. Find the second derivative of 5*x**3 - x**3 - 10*x + l*x + 0*x**3 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1120927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 - -112 - (-3)\/1.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -892200 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -260, -351, -432, -503, -564, -615?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 96552217 divided by -91867?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/182 and 86\/609.\nAnswer: 15834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 121 + -112. Find the common denominator of ((-51)\/w)\/((-45)\/(-10)) and -23\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 669 = -3*l + 684. Suppose 2*u = l*g + 6, -1 + 4 = 4*g + u. Solve 2*v - 10 = -3*y - g*y, y + 20 = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -i**3\/6 - i**2 - 6*i. Let l be v(-6). Suppose 12 - l = c. Solve 5*t - 4*m + c = 0, 0*t + 2*m - 2 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 4*f + 6*f + 56, f = 4*m - 46. What is the remainder when 56 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = b + 16, y + 3*b - 13 = b. Suppose 0*j + 1567 = 2*i + 5*j, 0 = -y*i + 5*j + 4005. What is the smallest common multiple of 2 and i?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w + 46. Let x be h(11). Let a(b) = 17*b**x + 9*b - 9*b - 30*b**2. Let k(r) = -3*r**2. Calculate a(k(z)).\nAnswer: -117*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29603393 - 16281393. What is o rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2628, -14, -4 in increasing order.\nAnswer: -2628, -14, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 4*m + 17, -2*f = 2*f + m + 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**2 - q**2 + 413*q**4 - 443*q**4 + 0*q**3 - 2*q**3 - q + 3*q**2 to t*q**3 + o*q**2 + l + i*q + b*q**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1797 + 2821. What is the greatest common factor of r and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3 - 2*g + 1 - 2*g. Let d(t) = -t - 1. Let o be d(3). Let r be c(o). Solve -12 = 5*y - 4*m, -5*y - r = -6*m + 3*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 2018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 918*v + 6337. What is the ten thousands digit of a(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -383\/4 - -95. Let u = -12 + 22. Suppose 0 = -a + 3*q + u, a - 4*q - 14 = -a. Which is bigger: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + r + 12. Calculate the smallest common multiple of b(0) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*x + 10 = 70*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (64 - 40 - 41)*(4*a - 5*a + 0 - 3) to r + t*a and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0453755mm in centimeters?\nAnswer: 0.00453755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 23*j**2 - j + 2. Let d(h) = -52*h**2 + 3*h - 5. Let n(l) = -4*d(l) - 9*x(l). What is n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 21*a**3 - 5*a**2 + 5*a + 11. Suppose -6*y + 86 - 2 = 0. Let w = 16 - y. Let q(o) = -4*o**3 + o**2 - o - 2. Calculate w*u(c) + 11*q(c).\nAnswer: -2*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 18*v + 13. Suppose i = -2, 2*i = -2*x - i + 26. What is the tens digit of o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**4 - 5*d**3 - 4*d**2 + 20*d = 0.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -501016 or -25551764\/51?\nAnswer: -25551764\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from exeeeexxxexee.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 5*u**2 + u + 6. Let f be n(-5). Let j = -0.071 - 55.929. Let v = j - -52. Which is the closest to f?  (a) 2  (b) -3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 377\/1015 + (-90)\/(-63) - (-141)\/30*16?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 5 = -f, 2401*f + 25 = 2403*f - 3*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 2*a - 2, 5 = -3*x + 44779*a - 44778*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 5 + 9 - 6 - l + 7. Let a be r(5). Let p = 15 + -11. Solve 4*k + 0 = 5*u + a, -p*k - 4 = 2*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1645734.066302 and 745.\nAnswer: 1646479.066302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 5:43 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 805 + -739.8. Let d = 61.2 - z. Which is the nearest to d?  (a) 0.3  (b) -1\/9  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 463861 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23785 is divided by 5818.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1248721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67.1 in 15, 0.003, 4?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8459*f + 0 + 0 - 8461*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 544868041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36183 = -5*d - 4598. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -148*d. Let h(s) = -3*s. Determine h(v(u)).\nAnswer: 444*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 2. What is the common denominator of -23\/8 and (-1)\/m + 302\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*c - 5. Let h = 10 + c. Suppose h*j - 13 + 3 = 0, u - j - 41 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-10)*1)\/((-1)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 4*a**4 - 13696*a**3 + 10689716*a**2 + 1809830584*a - 3662310528 = 0.\nAnswer: -144, 2, 1783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 141112.5ml?\nAnswer: 141.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1337714335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xknksnzknsskn. What is prob of sequence nkns?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-16)*(-38)\/(-57). Let k = 0.104 - 0.004. Which is the third smallest value?  (a) -10  (b) k  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*25\/(-40)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 5*g**3 + 3*g**2 - 3*g + 3. Suppose 5*t - 23 = -2*o, 3*t = 14*o - 9*o - 11. Let v(h) = -9*h**3 - 5*h**2 + 5*h - 5. Calculate t*v(x) + 5*a(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1) + (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 19*t**2 - 13275*t + 9070. Give j(698).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of t**3\/3 - 4*t**2 + 223*t - 41. Does 32 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 3*j + 42 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2. Let o(d) = -5 + 2*d + 1 + 1. Let c(z) be the third derivative of z**3\/6 - z**2. Let w(q) = -3*c(q) - o(q). Calculate m(w(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/((-24)\/(-1119))*-2. Suppose 5*o = 5*n + 580, -t + 32 = -3*o - 4*n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 25330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(2\/4*2). Let c = -4.8 + 5. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -2*n, 4*i = -226*n + 228*n - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 64986390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25567717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/314181 and 121\/84.\nAnswer: 1256724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -3. Let y = -0.3 - 0.1. Let a = -5.1 - -4.1. What is the closest to a in -1, l, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -12 + 3 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 8:38 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68 divided by -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f - 9. Let a be k(-6). Let t be (-6)\/4 + a\/(-36). Let w be (-2)\/7 - (-5)\/7. What is the third smallest value in t, w, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 6*z - 8. Let k be 7\/(-7) + 6 + -2. Let y be v(k). Does y = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53571716 is divided by 17857235.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -9*0.0112257\nAnswer: -0.1010313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -45*f**2 + 38853*f - 4627361 with respect to f.\nAnswer: -90*f + 38853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - ((-3)\/2 + 27\/(-18)). Suppose 4*l = -12, -l - r = -3*a + a. Solve -4*n - a + 9 = -4*h, -5*n + 10 = 5*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 2:49 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + -24. Let n(c) = 3*c - 24. Let t be n(o). Solve -5*b = -3*s + 5*s - 5, 2*b - t = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138630221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 6*q + 42 = 0. Calculate the remainder when 103 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 3*x**3 - 2*x**2 + 48*x + 37. Is k(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t. Let k(s) be the second derivative of -1\/3*s**3 + 0*s**2 - s + 0. What is p(k(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 84*v + 88*v = 40, 0 = -l - 12*v + 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/41 and -17\/5876.\nAnswer: 240916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 48\/(-9)*(-18)\/8. Suppose -4*v + 762 = 234. What is the highest common factor of r and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - 4*c - 28, -5*f + f - 36 = -c - c for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202003322201 (base 4) to base 13.\nAnswer: 1b081b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2959 and -55?\nAnswer: 54.7041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n + 9 = 11*n - 2*l, 36 = 4*n + l. Calculate the least common multiple of (-2)\/4*0 + 8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -24 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 29463 to the nearest 100.\nAnswer: 29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 19992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 42010631 (base 7) to base 2\nAnswer: 1101011110010110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 133*z**3 - 433*z**3 + 233*z**3 + 119*z**3.\nAnswer: 52*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3186*n**6 - 7*n**5 - 163285*n**2 wrt n?\nAnswer: -382320*n**3 - 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 12*x - 10. Let g be z(-7). Calculate the greatest common factor of 50 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2206 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 43640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1633447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-4)*(9 - 5). Suppose 0 = -3*d + j + 6. Suppose 0 = r + 4*p + 8, 3*r + 2*p + d = 3. Solve 6*z - 3*z = 9, r = 3*b - 5*z + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 997*s*y**4 - s*y**3 - 22*s*y**2 - 282*s*y wrt y.\nAnswer: 23928*s*y - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 57814365 * 0.4.\nAnswer: 23125746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 113555768*a**3 + 167830802*a**2.\nAnswer: 681334608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of c**6\/360 + c**4\/24 - c**3\/6 - c**2. Let k(h) be the first derivative of a(h). Let s = 288 + -287. Give k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-370016)\/1457 + (-4)\/94. Sort i, 9, 0, -5 in ascending order.\nAnswer: i, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -22*(1\/(-1))\/(-2). Let q(h) be the first derivative of h**2\/2 + 5*h + 7145. Determine q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191634823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 6020 = -x - x, -4*x - 1519 = -t. List the prime factors of (25\/(-9) - (-24)\/(-108)) + t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*s + 5, 0 = 2*s - 4*p + p - 6. Let i = -371\/6 - -62. Which is the second biggest value?  (a) i  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, b: 2, c: 4, x: 4, t: 2, m: 2}. What is prob of picking 1 c, 1 t, and 1 b?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59 less than -0.7417?\nAnswer: -1.3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124 - 84 = 20*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -5*l - 157, 2*l + 34 = -b + 6*l. Let z = 40 + b. Let t be -1*(-6 - (0 - z)). Put t, -1, -3 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**4\/5 + 136*m**3\/5 + 1038*m**2\/5 + 180*m = 0?\nAnswer: -6, -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, -2, 1, -1.03?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 45. Let t = -97 + y. Let x = 34.5 + t. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(-1\/27) assuming i is positive.\nAnswer: i**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/19  (b) 43  (c) -4\/9  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 - ((-4)\/38 + 8966914\/(-209)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or -340\/49?\nAnswer: -340\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6152775 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -7*h**6\/30 - h**5\/20 - 8*h**2 - 2*h + 9. What is the first derivative of n(s) wrt s?\nAnswer: -28*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 17*b + 20. Let u be d(16). Suppose -4*k + u = -500. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2704*y - 316*y + 25121 + 2369 = 1222 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.21056 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2. Suppose 0 = 4*x + 9 - 29. Let o(h) = 6*h - 3*h - x*h. What is o(b(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 588011116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9659, -78857, -267105, -633929, -1238855, -2141409, -3401117?\nAnswer: -5077505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5746*o = 18694*o + 194220 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 237911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10*9\/(-18)*2\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s - 2*s + 5*s)*(1943*s + 1 - 5266*s + 2297*s).\nAnswer: 2052*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.017 + 5.\nAnswer: 5.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -5*a**3 - a**2 + 3*a + 3. Let o = 87 - 87. Let p = 17 - o. What is the remainder when p is divided by r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2588 + 18174\/7. What is the common denominator of 2*-1*(-265)\/(-40) and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/4, -4, -5, -640 in ascending order.\nAnswer: -640, -5, -4, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -731805304 divided by 86.\nAnswer: -8509364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**6\/b)\/b)\/(b**9*b)*b**(-2\/51)*b**16 assuming b is positive.\nAnswer: b**(508\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 605 = -10326. List the prime factors of u.\nAnswer: 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338*l + 2066 = -1383 + 69 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 115\/4 + 35\/4. Is 38 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22113*k**3 - 198270*k**2?\nAnswer: 132678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 + 5*d**2 - 2*d**3 - 3 - 2 + 4*d**2 + 5*d. Let v be c(8). What is the greatest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4604087?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1851474919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376321 is divided by 185884?\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/70 and 71\/34092660?\nAnswer: 34092660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4\/69, 0.2 in ascending order.\nAnswer: -8, 4\/69, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**3 + 5*s - 20. Let l(r) = 3*r**3 + 6*r - 21. Let w(m) = m**2 + 6*m + 10. Let f be w(-5). Let j(q) = f*l(q) - 6*x(q). Differentiate j(u) wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 5:27 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7, -11, -13, -13?\n\"Answer: i**2 - 7*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000356814 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1587)\/(-9) - -1) + 8\/(-6). Suppose 0 = -7*v + 3*v + j. Does 22 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/5*60\/40?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -88930 divided by 315?\nAnswer: -17786\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (654 - 279) + -324 - (-24 + 1).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + (1 - 1) + 31 + (-51 - -19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-5\/6))\/g)\/(g*g*g**(-2\/15)\/g*g))\/(g*g**(-2))**(-41) assuming g is positive.\nAnswer: g**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((15*-1)\/((-945)\/(-1575)) - -22)\/(11\/3).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1925640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, o: 11}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(((t*t\/(t**(-21)*t*t)*t)\/t)\/t)*t**(-16)*((t**4\/t)\/t)**(3\/5) assuming t is positive.\nAnswer: t**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 0 - 6. Solve -4*l = -p*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uvv when three letters picked without replacement from {i: 3, v: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*9\/(-60) - 16563\/12. Let y = i - -2788. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.73 times -520?\nAnswer: 379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 963*z + 5768. Let c be y(-6). Let n(f) = 2 + 11*f - 3*f**3 + 6 - 9*f**2 + 2*f**3. Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15661727, -15661728, -15661729, -15661730, -15661731, -15661732?\n\"Answer: -b - 15661726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 5*h - 2. Let c(s) = 5*s**h - 13*s + 13*s. Let k(i) be the second derivative of -i**3\/3 - 2*i. Determine c(k(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 165 = -0*q + 2*q, 4*q = l + 275. Suppose 0 = 8*b - 8 - 0. Let r be (-78)\/(-2)*b\/3 - -1. What is the greatest common factor of q and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/5 - 3264\/(-120). Let s = b + -24. Suppose -s*j = 3*j - 360. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850458.\nAnswer: 2, 3, 7, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, o: 8}. Give prob of sequence mmo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 215239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6826077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 177813.06 months in years?\nAnswer: 14817.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-3)*(u\/u**7)\/u*((u**(2\/9)*u)\/u)**(2\/39))**(-2\/29) assuming u is positive.\nAnswer: u**(6310\/10179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from {k: 2, u: 1, b: 4, g: 3, f: 3, c: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*k**4 - 7*k**3 - 385*k**2 - 34*k + 3773987?\nAnswer: -8*k**3 - 21*k**2 - 770*k - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 465.955865 + -29758.\nAnswer: -29292.044135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4, t + 0*m = 5*m + 11. Suppose 3*c = t*c - 252. What is the highest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-4))\/((-4)\/(-40)). Sort l, 3, -2 in ascending order.\nAnswer: -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 940 - 940 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (975 + 2*r + 1008 - 754)*(-1 + 2 + 0).\nAnswer: 2*r + 1229","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3579364?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 2:47 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -21 - 34. Suppose 10*a + 8 = u*a. Let p be 1*((1 - -1) + 14). What is the highest common factor of a and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 52313562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39968*q*r*z**2 - 3*q*r*z + 19*q*z**2 + 17*q*z + 2*q + r*z**2 + 18380*r*z + 2*r wrt z?\nAnswer: -79936*q*r + 38*q + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is c3 (base 16) in base 2?\nAnswer: 11000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -85 - -68. Calculate the least common multiple of (0 - i) + 0\/((-2)\/2) and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -5*d + 24, -7*d + 3*d + 18 = 2*o. Solve y - o*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 896.6205ng in milligrams?\nAnswer: 0.0008966205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.26 - -1. Let h = c + 0.25994. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/42692537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 25803972, 51607944, 77411916, 103215888, 129019860, 154823832?\n\"Answer: 25803972*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of 16*y - 5\/12*y**4 + 0 + y**2 + 5\/6*y**3. Let k(r) = 5*r - 2. Calculate 7*k(j) + 3*q(j).\nAnswer: 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 71690 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -8*h**2. Let p(c) = -34778*c + 11 + 34900*c - 11. Determine y(p(k)).\nAnswer: -119072*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.9552 - -0.0448. What is the smallest value in 0.4, -0.093, t?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n**4 - 9*n**4 + 31*n**4 + (-n**3 - n**2 + n**2)*(0*n - 3*n + n) in the form j*n**2 + v + x*n**4 + z*n**3 + q*n and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9055752991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 28781 (base 16) to base 14\nAnswer: 445a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 740 a factor of 9846440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -343, -349, -359, -373, -391, -413, -439?\n\"Answer: -2*j**2 - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*b + 120174*b**2 + 120175*b**2 - 240349*b**2 - 113*b**3 - 8*b.\nAnswer: -113*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -11*n**6\/120 + n**5\/20 - n**3 - 8*n**2. Calculate the remainder when l(-2) is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 2:49 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-4))\/((-12)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/((-22)\/(-1771)) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f + 4. Let n(y) = 2*y + 7. Let m(a) = 3*a + 15. Let d(p) = -2*m(p) + 5*n(p). What is 3*b(t) - 2*d(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-81 - -20) - -34.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -238*l**5 + 23*l**4 + 12*l**3*n - 2*l*n - 14*l + 33*n - 259 wrt l.\nAnswer: -4760*l**3 + 276*l**2 + 72*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/1 + 25 + -22. Solve 9*x + 25 = z*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 2 + -2*28\/24. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 24 + 51. Calculate the greatest common factor of 60 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezf when three letters picked without replacement from nffzzzfnznbnennen.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*w + 1. Suppose 5 = d - w. What are the prime factors of d - (2 - 1)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 7. Suppose -18*h + 15*h + t = 0. Suppose -11 = -3*f - 2*w, 3*w - 14 + 5 = -h*f. Solve 0 = -2*s - 15 + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 13*d + 33. Let m be n(11). Suppose 5*r + 2*s - 1 = 0, -3*r + 4*s + 10 = -r. Calculate the highest common factor of m and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5*v - 10 = 0, -5*s - 24 = -s - 4*v. Let h(z) = -4*z**3 - z**2 - z. Let m be h(-1). Sort -4, m, s in decreasing order.\nAnswer: m, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**3 - 17568*z**2 - 140988*z + 1477728.\nAnswer: 3*(z - 5864)*(z - 6)*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -133.12 - 4.88. What is the smallest value in -5, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -6\/143 and ((-1926)\/24)\/(78\/2).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57178 = -60*u + 249542. Is u a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkppktkkpcpkksp. What is prob of picking 1 c, 1 k, 1 p, and 1 t?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*c - 2*i - 20, 5*c + 2*i + 40 = 13*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.03  (b) -0.2  (c) -2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3195 by 639.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.610435 millimeters to micrometers.\nAnswer: 3610.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 3:35 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*n - 4*m + 82, -n - 18 = -3*m for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 2*c**4\/3 + 237*c - 224. Let r(d) be the first derivative of s(d). Let i(p) = 3*p**2 - 8*p. Calculate i(r(k)).\nAnswer: 192*k**4 - 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(2*48))\/((-64)\/(3968\/(-31)))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r. Let o(g) = 136*g + 52. Let k(d) = -o(d) - 3*v(d). Is k(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 71, 167, 327, 551?\n\"Answer: 32*d**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s + 22 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -49973*n - 481361 wrt n?\nAnswer: -49973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 14. Let f = d - -5.4. What is the nearest to -0.2 in 1, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 7*y + 13*y)*(50 + 78 - 98) as t*y + o and give t.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.7  (b) -4  (c) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 240874?\nAnswer: 2, 29, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30 - -33. Suppose q - 11 = f*o, 5*o + 23 = -q - 6. Let c be 2*o\/(30\/109). Is c at most -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -156*r - 2. Let y(w) = -7*w + 3. Let g(t) = 10*t - 4. Let o(n) = -3*g(n) - 4*y(n). What is o(d(h))?\nAnswer: 312*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 65*m**2. What is p(1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-76)\/24*(-36)\/54*2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {x: 1, i: 4, d: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**2 + 2*c + 2. Suppose 0 = 4*k - 4 - 0. Let w be 0 - (k - 4)*1. Let m(q) = 2*q**2 + 2*q + 2. Let s be (-4)\/6*(-6)\/(-1). Calculate s*m(h) + w*v(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**4 - 44*l**3 + 72*l**2 + 432*l - 864.\nAnswer: 4*(l - 6)**2*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34.921 + -0.079. Let z = -4528002 + 4527966.99939. Let n = z - o. What is n rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 23 = 5*g, 10 = -7*g + 6*g + 5*h. Put 14, g, -3 in ascending order.\nAnswer: g, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -328 times 278416\nAnswer: -91320448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1448 = -a - 3*a. Suppose a = 5*i + 82. Suppose 2*o = -5*g + i, g + g - 5 = 5*o. Calculate the remainder when g is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 140\/63 + -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*q + 893378 = -341538 + 186902. What are the prime factors of q?\nAnswer: 2, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -135\/1469 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w - 40*w**3 - 14*w**4 + 48*w**3 - w + 0 + w**2 - w - 3 in the form d*w**3 + p*w**2 + o + k*w + t*w**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 26 - 25 + d**3 - 5*d**2 - 9*d + 12*d**2. Calculate the remainder when 35 is divided by t(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-4)*2\/(-18)*-9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 470\/(-705)*(0 - (-2)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.36000092 - 0.36. Round i to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -64 - -123. Let l = 62 + j. Let u be 79\/7 - 6\/21. What is the greatest common divisor of l and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - ((13 - 12) + 26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-369)\/351 - 0)*3\/(-35) and 117\/350.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 3\/5, 1\/14, -2\/13, -11, 538?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 12.6907142 and 0.04564.\nAnswer: 12.7363542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8259098 and 3351.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/11 >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 898924.\nAnswer: 2, 13, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 5. Let d be 3*((1 - s) + 3). Factor 3*r**d - 11\/3*r**2 + 0 + 2\/3*r.\nAnswer: r*(r - 1)*(9*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -4*m + 57, -3 = 3*j - m - 27. Let o(z) = z - 5. Let d be o(j). Suppose d*p = -0*p + 32. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(156)*1 + -5*(sqrt(156)*-1 - sqrt(156)))\/(5*sqrt(12)*-1 - sqrt(768)*-1))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 464201 and -0.286?\nAnswer: -132761.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.42 minus 147366?\nAnswer: -147365.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 3:03 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -602 + 972. Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0281432238 to four decimal places.\nAnswer: 0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-85)\/(-918)*3\/(-10). Let k = 34 - 26. Let i be -2*(-1 + 12\/k). Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5*w**3 + 409*w**2 - 75*w + 146. Calculate q(-82).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1083 is divided by 537.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 85327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {k: 1, y: 2, l: 6, a: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15704 = 41*u + 206. Is u a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296732153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36992, 147863, 332642, 591329, 923924, 1330427?\nAnswer: 1810838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -33, -60, -87, -114, -141, -168?\n\"Answer: -27*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -224, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -4*w, 3*x + 6 = 4*w + 5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -167*t**2 + 180*t + 420*t**2 - 158*t**2 - 121*t**2 + 1 as j*t**2 + b*t + p and give b.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 52. Let h be (-130)\/z*(-2)\/(-30). Sort -5, 0.9, h.\nAnswer: -5, h, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00023224 to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2128)\/(-342))\/(-28))\/((-4)\/(-18)*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5*k + 9. Let f(d) = 11*d + 19. Let h(b) = -6*f(b) + 13*q(b). Suppose 7*s + 71 = 36. Give h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/(-3) + 2\/(-12)*4. Solve -5*s - 25 = -5*t, -s = k - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 1  (c) -19\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.1775 - 925\nAnswer: -924.8225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 47179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 10, 23, 40, 61, 86?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bjlnnlrnnll. Give prob of picking 2 n and 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433155?\nAnswer: 3, 5, 67, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/11)*o)\/o**22 assuming o is positive.\nAnswer: o**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -77, -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -60923, -37 in ascending order.\nAnswer: -60923, -37, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 2 - (8 - 5). Let i(r) = 84*r + r**3 - 3 - 86*r + 2 + 3*r**2 - d. List the prime factors of i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h - 30 = 20*h, -3*u + 2463 = h. Calculate the smallest common multiple of 315 and u.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 11:00 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - -14) + 9 + (10 - (-2 + 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2215*w + 262*w - 928*w = -51858 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165793?\nAnswer: 29, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 3:23 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 38*z - 61. Let c(s) = 76*s - 122. Let y(j) = 2*c(j) - 5*g(j). Differentiate y(i) with respect to i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13944.3 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 0*t**3 + 23 - 2*t + 0*t**2 - 5*t**2 - t**3 - 28. Determine c(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4 + 9*d**3 - 27*d**2 - 69*d - 36.\nAnswer: 3*(d - 3)*(d + 1)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 63*z**2 + 8*z - 244. Let i be f(63). Are i and 261 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125 (base 6) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1784*w - 900*w - 842*w to the form z*w + i and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 44041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2 = 12. Suppose 31 = j + f. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5 - 1. What are the prime factors of (567\/(-12))\/(-4*k\/64)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 103 and 16329?\nAnswer: 16226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 5. Let a = o + 6.6. Let w = -1 + a. What is w rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 391 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3079067 - -3091267.743. Let y = 12255.74331 - r. Let l = -55 + y. Round l to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 990463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61 + 245\/4. Suppose 4*h - 17 + 5 = 0. Let x be 0\/(-2 + -3 + h). Is x != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 1 = v + r, 3*v + 13 = r. Let b = v + 5. Suppose -3*t + 9 = -b*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20021210 (base 3) in base 11?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 3*x + 5, -4 = x - 2*w - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p - p - 2*p)*(4923*p**2 + 534110 - 534110 + (-p + 5*p - 3*p)*(0 + 0 + p)) to q + n*p**2 + z*p + b*p**3 and give b.\nAnswer: -9848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49*f**2*z**3 + 5692*f - 74*z**3 - z**2 - 4*z + 1 wrt f?\nAnswer: -98*f*z**3 + 5692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 + 24*t + 160.\nAnswer: -4*(t - 10)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/8775 and 67\/105?\nAnswer: 61425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8*-1*1\/2. Let a = -15.1 + -12.3. Let g = a - -28. What is the third smallest value in g, -3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 25, 0, -2\/5, -3\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/25))**(-11) assuming v is positive.\nAnswer: v**(22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14232976.\nAnswer: 2, 19, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-5))\/((-1778)\/(-635)). Let h = -7 - -5. Which is the nearest to t?  (a) 5  (b) 4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 11*v - 3. Let x be r(-10). Let u be x*(-3 + 30\/14). Let c = u - 182. What is the biggest value in -0.2, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.7842631mm?\nAnswer: 0.07842631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188943 is divided by 1173.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -725, 10, -3, 2, -12 in ascending order.\nAnswer: -725, -12, -3, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 335080\/39?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 33*c - 38. Let f(i) = 32*i - 37. Let j(d) = -4*f(d) + 5*z(d). Find the first derivative of j(t) wrt t.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 706 and 166616?\nAnswer: 166616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 9*h + 12. Let t be d(-8). Let z = -3 + 5. Determine y, given that -z*y**2 - y**2 - y**3 + t*y**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1270533 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 4209.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.371404973 rounded to four dps?\nAnswer: -5.3714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, g: 3, b: 1}. Give prob of picking 2 g, 1 z, and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 1, n: 3, q: 3, u: 3, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6424540.52 - 6425136.5199905. Let a = o - -596. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4\/6 + x**3\/3 + 2*x**2\/3 - x\/3 - 1\/2.\nAnswer: -(x - 3)*(x - 1)*(x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*g + 12181*g**3 - 20*g + 1950*g**3.\nAnswer: 14131*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*i**2 - i**3 + 5 + 7*i**2 + 3*i**3 in the form k*i**2 + o*i + m*i**3 + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73066 = -158*n - 164*n - 3845*n - 131*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 12*t**2 - 10*t - 8. Let j be s(11). Solve -7*d + 12 = -j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**2\/7 - 12214*c\/7 + 73356\/7 = 0. What is c?\nAnswer: -6113, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) -0.5  (b) 126384  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45548812.\nAnswer: 2, 2999, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 69.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 438 - 134. Let h = 456 - t. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 13, -38.58, -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*v - 5*v - 104 = -10*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56740.\nAnswer: 2, 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -89.6 - 2.4. Let f = -94 - t. Let g = -18 - 1. Put f, 0.2, g in ascending order.\nAnswer: g, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**3 - 2*b**3 + 3*b**3)*(2*b**2 - 2*b + 2*b) - 4*b**5 - 5*b**5 + b**5 + (-b**3 - b**3 + b**3)*(-3*b + 4*b**2 + 3*b).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 11*u**2 - 16*u - 5. Let s(h) = 24*h**2 - 32*h - 10. Let t(x) = 5*f(x) - 2*s(x). Let l be t(3). Solve 6*g - l*g = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from imhaam. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 224 and 19166?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -140*u + 2249 - 5749 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2. Let v(d) be the second derivative of 2*d - 1\/6*d**3 + 13\/2*d**2 - 69. Calculate a(v(c)).\nAnswer: 4*c**2 - 104*c + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*w**4 - 8\/3*w**3 - 8\/3*w - 4*w**2 - 2\/3.\nAnswer: -2*(w + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 128*o + 46. Let l be g(10). Which is smaller: l or 1422?\nAnswer: 1422","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(66\/21 - 3) - 34\/(-119). Which is greater: -5\/399 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((x*x**(-1))\/x)\/x)\/x)\/(x*x**1))\/(x\/(((x*x**0*x)\/x)\/x*x))**(-3\/2))\/((x\/((x*x*x**2*x)\/x))**(-4\/5))**(-24\/7) assuming x is positive.\nAnswer: x**(113\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 1:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-4)\/(-12))\/(4\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 170218784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b3668 + -a?\nAnswer: 4b365b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {j: 5, v: 2, w: 1, g: 11}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8354?\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 514*p**6 + 1238*p**2?\nAnswer: 61680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 + f**2. Let s(t) = -5*t**3 + 13*t**2. Let g(j) = 6*p(j) - s(j). What is g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 33268 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 104\/7*w**2 - 326\/7*w + 220\/7 + 2\/7*w**3.\nAnswer: 2*(w - 2)*(w - 1)*(w + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12.8 + 12.8. Let d = 0.9 + 0.1. What is the third biggest value in g, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -309 + 314. Which is the second biggest value?  (a) o  (b) -2  (c) -5  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 5.1. Let i = -138\/67 - -1928\/871. Sort i, q, -2\/7.\nAnswer: -2\/7, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4*t + 5*t - 12, t = 3*s + 17. Suppose -3*c - 122 + 1746 = -2*k, 3*k - t*c + 2431 = 0. Let i = k - -31549\/39. Is i greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 37306821 or -17?\nAnswer: 37306821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -666*n + 6356. What is the thousands digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (19 + -8 - 3) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -y - 59. Suppose -2 = 5*x - 3*x, h - y*x - 239 = 0. What is the highest common divisor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vtvvvvvvvtvvvtvtvt. Give prob of picking 4 v.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence py when two letters picked without replacement from ryryruuyyyypypy?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 180464, 360905, 541346, 721787?\nAnswer: 902228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(-5)\/(-6) + -1. Let h = -0.2 + 0. Let x = 0.3 + h. Is x bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 166 (base 14) to base 13\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from piqqaixaiiqiiiiqqq.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 913, 3757, 8497, 15133, 23665, 34093?\n\"Answer: 948*j**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c**4 + 500*c**3 + 3546*c**2 + 6264*c + 1512 = 0. What is c?\nAnswer: -3, -2\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/820796 and 57\/244.\nAnswer: 50068556","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 278840 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, b: 4, q: 7, p: 3}. What is prob of sequence bpg?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -138 - -134. Let g(m) = 5*m**3 + m**2 + 2*m + 7. Let h(c) = 0 + 0*c**2 + c**2 + 3*c**3 + 2 + 2 + c. Determine s*g(x) + 7*h(x).\nAnswer: x**3 + 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4869242.9*-0.3\nAnswer: -1460772.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 12:51 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1605 - 1599. What is the smallest common multiple of 323 and m?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6838*y**3 + 6*y**2 - 3*y - 1. Does 60 divide o(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17899000 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 100\/(-450) + 767\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y**2 - 157*y + 2160. Let h be k(14). Calculate the greatest common divisor of h and 3190.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3\/4)\/y*y*y**(2\/9)*y**(1\/5)\/y**(-8)*(y**2*(y*y*y*y*(y*y*(y**(-7)*y)\/y*y*y)\/y*y*y*y*y)\/y)\/(y*y\/y**(1\/2))**35 assuming y is positive.\nAnswer: y**(-7169\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**4 + 30*m**3 - 128*m**2 + 96*m + 256 = 0. What is m?\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*s + 215214 = 213628 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2067*w**5 + 141*w**4 - 25*w - 464.\nAnswer: 41340*w**3 + 1692*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*v. Suppose 3*i - 6 = 0, v = z + 5*i + 1 - 17. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -10*g**2. Let t(h) = -20*h**2 + 6109 - 6109 + 434*h**2. Give y(t(i)).\nAnswer: -1713960*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**3 + 3310*d**2 + 23131*d + 33030 = 0.\nAnswer: -3303, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -21*r - 12. Let k(n) = 10*n + 6. Let d(b) = -2*h(b) - 5*k(b). Let u be d(-3). Solve -3 = 5*x - u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 12. Let j be (-2)\/s*0 + 3. Solve -4*z - 1 = j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -3*y**2\/2 + 12*y + 1. Suppose 91*q = 111*q + 100. Let r(w) = -4*w + 13. Let d(o) = q*r(o) + 6*g(o). Calculate d(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 25*m**2 - 47*m - 25. Let q(b) = -2*b**2 + 84*b + 153. Let c be q(44). What is w(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, a: 2, v: 3, m: 3, z: 1, y: 1}. Give prob of picking 3 m and 1 v.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-214*y - 114*y - 59*y)*(3 - 1 - 3)*(-2*y + 3*y + 2*y).\nAnswer: 1161*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z + 25304 = -11*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -1, -47, -163, -379, -725, -1231, -1927?\nAnswer: -2843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (2 + 1 + -72 + 68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/15*(5 - 1). Suppose 0*y = d*y - 280. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-6))\/(18\/27). Let c be (2\/5)\/(3\/30). Let b(a) = -5 + c - a + i. Let h(d) = -d**2. Give h(b(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*a = 18*a - 40. Let k = 8 - 13. Let s = a - k. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z - 7. Calculate w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-9 - 1474\/(-165))*5\/3 and 34\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35, -88, -143, -200, -259?\n\"Answer: -f**2 - 50*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -53*z**8\/12 - 13*z**5\/60 - 4*z**3\/3 - 17*z**2 + 49*z. What is the third derivative of j(h) wrt h?\nAnswer: -89040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*l**3 + 11*l**3 - 5*l**3 - 5*l - 5*l to f*l + z*l**3 + t + k*l**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15*d*i*s**3*v - 781*d*i + 7*d*s**3*v + 3574*d*s**3 + 30*i*v - s**3 - s*v wrt i.\nAnswer: 15*d*s**3*v - 781*d + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28323657 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124874153*a + 0 + 0 - 124873144*a.\nAnswer: 1009*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10, -10, -32, -38, -10, 70, 220, 458?\n\"Answer: 3*j**3 - 19*j**2 + 16*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 586323?\nAnswer: 3, 65147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 + -1)\/2*-2. Let d = -13 - -9. Let p be ((-8)\/10 - -11*236\/3245)*(-2)\/(-4). Put f, d, p in decreasing order.\nAnswer: f, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 17. Suppose -i*g - 2 = -3*g. Let t be (1 - (g - -5)) + 0. Let r(a) = -a**2 + a - 3. Let c(o) = 2*o**2 - o + 4. What is t*c(u) - 4*r(u)?\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 smaller than 2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/49?  (a) 2.5  (b) 3\/5  (c) -0.5  (d) -0.3  (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, p: 2}. Give prob of sequence ipi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/9 and -81\/1214.\nAnswer: 10926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30403 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -867, 5, -4159 in increasing order.\nAnswer: -4159, -867, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209071 is divided by 68327?\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-11 - (-3 + -5))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -514245, -513949, -513457, -512769, -511885, -510805?\n\"Answer: 98*r**2 + 2*r - 514345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**5\/60 - l**4\/3 + 4*l**2. Calculate the remainder when 47 is divided by a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*l = -42. What is the remainder when 62 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 0 - 2*d + 0. Let z(f) = 35*f**2 + 72*f. Let u(s) = -34*s**2 - 60*s. Let r(c) = -6*u(c) - 5*z(c). What is r(k(q))?\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of b**10\/1008 + b**6\/36 + 2*b**3\/3 + 3*b. Let m(o) be the second derivative of w(o). Find the third derivative of m(z) wrt z.\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -5*u**3 - 5*u**2 - 13*u + 17. Let w be x(1). Let h(f) = -f**3 - 5*f**2 + 4*f - 2. Determine h(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 g, and 1 i when three letters picked without replacement from pggipgpiggppii?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 664.1129774 rounded to 2 dps?\nAnswer: 664.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1924.44 and -3240.\nAnswer: -6235185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(7\/2)\/l)**(6\/7))**(-41))**(-2\/5) assuming l is positive.\nAnswer: l**(246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 3*q - 5 = -11, -3*q + 11 = 4*p. What is the third derivative of p*l**3 + 2*l**5 - 5*l**3 - 3*l**2 wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 1\/8, 1\/5, 2.56, 4, -1.06?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10931 by -512.\nAnswer: 10931\/512","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 5*b**2 + 2*b + 4. Let d be s(5). Suppose -4*h - 6 = d. Let u(l) = l**2 + 3*l - 7. What are the prime factors of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689712 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94653 + 189670 - 2*q + 5*q**2 - 95017 + 2*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 98.\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1299778.\nAnswer: 2, 397, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5*g**4 - 4*g**3 - 15*g**2 + 10*g + 4. Let w(j) = 10*j**4 - 7*j**3 - 30*j**2 + 20*j + 7. Let s(u) = -7*r(u) + 4*w(u). Solve s(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 16*l - 2. Let m be 2\/(-30) - l\/(-10). Is 0.2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 2*h - 47, 3*i + h = -2*i + 76. Let b be (1 + -2)*i\/(-1). What is the greatest common divisor of 150 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2756*x**4\/3 - 853022*x**3\/15 + 519984*x**2 - 749032*x\/15 - 448\/3 = 0. What is x?\nAnswer: -70, -2\/689, 1\/10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + 3*f**2 + 36*f + 4. Let a be (-279)\/(-63) + (-4)\/(-7) - -4. Is o(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 7\/17188009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 2. Let s be 1 - ((3 - k) + -3). What is the closest to s in 3, -3\/2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1041 + 130?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -105912 divided by -26478?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*w**4 - 3782809*w**3 - 96557392*w**2.\nAnswer: -192*w - 22696854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 552 + -562. Is 12 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1369 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -878, -886, -892, -896, -898?\n\"Answer: j**2 - 11*j - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2063.954 times 0.27?\nAnswer: 557.26758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i - i**2 + 4*i)*(-5*i**2 - 2 + 10 - 5*i**3 + 3*i**2 + (2*i**2 - 2 + 2)*(7 + 5*i - 7)).\nAnswer: -5*i**5 + 2*i**4 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12958.\nAnswer: 2, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 6 - 4 = -2*z, -2*z + k + 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -575 - -600. Calculate the highest common factor of t and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -77*b**2 + 233*b**2 - 74*b**2 - 2*b + 23 - 83*b**2. What is k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*((-12)\/(-15))\/(-2). Let m be 1\/(-1) - -9 - v. Let i be (m\/(-15))\/(4\/(-20)). Solve -5*r + 45 = -5*u, -i*r - 1 = -6*r - 3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -480.3 + 480. Which is the closest to 0.1?  (a) r  (b) 4\/7  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of a**5\/60 - 5*a**4\/24 + a**3\/6 + 109*a**2. Calculate y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 23*x + 2332. Let k(r) = 2*r**2 + 43*r + 4665. Let g(d) = 6*k(d) - 11*w(d). What is the derivative of g(i) wrt i?\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56535540 by -129.\nAnswer: -438260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -6*i**2. Let p(v) be the second derivative of -7*v**4\/24 - 133*v**2\/2 + 94*v. Let d(y) be the first derivative of p(y). Determine d(q(x)).\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, f: 4, q: 2, d: 2}. Give prob of sequence dd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8149151, 16298292, 24447429, 32596562, 40745691, 48894816, 57043937?\nAnswer: 65193054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 13374276, 13374275, 13374274, 13374273, 13374272, 13374271?\n\"Answer: -z + 13374277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 76531353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -18, 13, 72, 159, 274, 417?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**7*u)**(-36)*(u\/u**(-2\/3))**(-5\/7))**(-24) assuming u is positive.\nAnswer: u**(-23992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 0 + 4 - 2 + 0 + 17*j + 2. Let p(s) = -4*s - 1. Give -9*p(a) - 2*w(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -5998*z. Let o(x) = -4*x**2 + 427*x. Determine o(a(l)).\nAnswer: -143904016*l**2 - 2561146*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {k: 3, x: 5, f: 1, e: 1, t: 1, o: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 4, -2, 1, 217 in ascending order.\nAnswer: -4, -2, 1, 2, 4, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 16947248 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 + 95*s**3 - 85*s**2 - 95*s + 90 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2919 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -55911, -56148, -56385?\n\"Answer: -237*a - 55674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + 27 + 2 + (-2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35029 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18*26\/(-351)*-21*(-2)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*f + 235*f + 208*f = -79*f - 7290 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/(-2*sqrt(3)*-2))**2 + (sqrt(76)*2*4)**2 + 1.\nAnswer: 77859\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -418*p**5\/5 + 893*p + 46. Differentiate z(v) with respect to v.\nAnswer: -1672*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - 3d98?\nAnswer: -3d9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 384227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*2\/((-4)\/(-106)). Let o = i + -10. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010 + 110000100101?\nAnswer: 110000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27528953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -3\/4*m**5 + 9\/4*m**2 - 9\/4*m**4 - 3\/4*m**3 + 3\/2*m + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 740*y**3 + 0*y**2 - 14 - 734*y**3 + 23 - 6 + 0*y**2.\nAnswer: 6*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 1815*l**2. Let d(x) = -133*x - 7686. Let w(j) = -j - 61. Let r(o) = d(o) - 126*w(o). What is f(r(n))?\nAnswer: 88935*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -38*q + 13. Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 7*s**2 + 9*s + 5. Let a be u(5). Suppose a = -l, -2*l + l - 270 = -5*v. What is the greatest common divisor of v and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9887.99964157 + -9888. What is m rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 2*u**3 - 55198*u**2 - 55200*u = 0.\nAnswer: -1, 0, 27600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 289862 - 289862.5. Suppose 4*v - 630 = v. What is the closest to -1 in g, v, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4345840, -8691681, -13037508, -17383315, -21729096, -26074845, -30420556?\n\"Answer: y**3 + y**2 - 4345851*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.02 + 0.02. Let d = -4.8 + -17.2. Let g = 21 + d. Which is the closest to g?  (a) 2\/17  (b) 2\/7  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 164696 and 597023.\nAnswer: 4776184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is a42 (base 12) in base 3?\nAnswer: 2001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-3 - sqrt(68))*5 + -2*sqrt(68)*-3)\/(-6*(-4*sqrt(20)\/sqrt(5) - (sqrt(100) + sqrt(100)*-1))).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8624058 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -47 + c?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -100111011100101 (base 2) to base 16\nAnswer: -4ee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 120 and 430455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1139 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 1. Give n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3.7 from -0.4.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -515872, -515877, -515882, -515887?\n\"Answer: -5*g - 515867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 51991566?\nAnswer: 207966264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2 + sqrt(612) + sqrt(612)*1 + (sqrt(612) - (2 + 1 + sqrt(612))) + (-4*(-2 + sqrt(612)) - sqrt(612))*-5 + 4)**2.\nAnswer: -1791316 + 53136*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 5*x - 242. What is r(48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (19 + -17 + 3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 18*d**2 - 17*d - 2. Give z(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (7 - 3) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*y + 11 + 32*y - 2*y**2 - 19*y as t + q*y + f*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - r = 3 - 16, -z = -r + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 63*s + 1725. Calculate m(-26).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0607265811 to five decimal places.\nAnswer: -0.06073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5530\/90829 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 1\/30*a**6 + 4\/3*a**3 - 4 + 7*a**2 + 0*a - 1\/6*a**4 - 2\/15*a**5. Let j(q) be the second derivative of p(q). Factor j(y).\nAnswer: 4*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13283, -53123, -119527, -212501, -332051?\nAnswer: -478183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -2\/62011911 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - h - 39 = 0. Suppose m - 2 + 3 = 0, 0 = -k - 2*m + 30. Let y = k - h. Let j(b) = b**2 + 6*b + 2. Give j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*x + 0*x - x)*(-23 + 17*x**2 + 23) + (2*x - 4*x + 0*x)*(2*x**2 - 3*x**2 + 0*x**2) + x**3 - x + x to r*x**3 + w + c*x**2 + v*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 2. Let j be q(-8). Let r = -8 + j. Let 5 - 5 - c**r + 4*c**2 - 6*c = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 491\/4 - 122. Let g = -1.1 - -6.1. Sort f, g, 4.\nAnswer: f, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10065, -39575, -88523, -156909?\nAnswer: -244733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11.2 in 6, 2, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 40920 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 v = 194.06 + -192. Let z = v - 0.06. Let r = -20.8 + 21.2. What is the biggest value in z, -2\/3, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/12*1 + (-2088)\/216\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (6 - 27 - -47).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -26 + 18 + 27*q + 8 + 10*q**2 - 10*q. Let o be j(-2). Let m(k) = k - 1. Let w be m(4). Calculate the greatest common divisor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 4:48 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 3)\/(-2) - -6. Let n be 2\/q + (-44)\/(-12). Sort 3\/7, n, 0.2 in increasing order.\nAnswer: 0.2, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 - 11*n + 19. Give l(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11125 + -11123. Solve -4*r - 3*s - 7 = 5, -6 = u*r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y + 16. Let n(w) = 2*w + 52. Let d be n(-24). Let x be t(d). Are 36 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -215 + 218. Suppose -5*s + 2*c = -641, -c + 2*c = -w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5\/4 - d**3\/4.\nAnswer: d**3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.32 - -12.68. Let k = -25 + p. Let i = -11.99941 - k. What is i rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -201, -759, -1317, -1875, -2433?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvxx when four letters picked without replacement from vxvpppxp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2020320 divided by -305.\nAnswer: -6624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**2\/4 + 12216*x - 149230656 = 0?\nAnswer: 24432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 - 97*t**2 - 1153*t - 53076. Calculate v(-48).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3471798509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136*s**3 + 8954*s**2 + 147*s**3 - 26869*s**2 + 8961*s**2 + 8954*s**2.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 7*s - 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*u**3*y - 533770*u**3 + 20*u**2*y + 6*u**2 + 7 wrt u.\nAnswer: 30*y - 3202620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - -95385\nAnswer: 95385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 42.9164722 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3794.6858 + 3793. Round n to 2 dps.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15808 less than 46761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**4*z + 4*w**4 + 2928*w**3*z - w**3 + 8424*w**2*z - 15*w**2 + w*z + 2*z - 3 wrt w?\nAnswer: 24*w*z + 96*w + 17568*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.33 * 94\nAnswer: 31.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 204*m**2 + 0*m + 19 - m - 202*m**2. List the prime factors of f(-21).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jboj when four letters picked without replacement from jbaobjzzbbbb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+-1320941280\nAnswer: -1320941279.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -207 + 299. What is the second derivative of q*b**5 + 39*b**5 - 5 + 35*b**5 + 24*b wrt b?\nAnswer: 3320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 311.3989 to one decimal place.\nAnswer: 311.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -100*a - 68*a - 56*a to b + v*a and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 + c - 2. Let a(m) = -2*m**2 - 2. Let x be ((-1)\/1)\/(-1)*(-13 - 14 - -22). Calculate x*t(q) + 6*a(q).\nAnswer: -2*q**2 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 0.5, -2\/5, 12, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3799760.\nAnswer: 2, 5, 47497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 22  (b) -2\/89  (c) 69  (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2276, 2257, 2224, 2177, 2116, 2041, 1952?\n\"Answer: -7*z**2 + 2*z + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 5*g + 7. Let o(z) = 9*z - 15. Let u(i) = 8*i - 12. Let t(f) = 5*o(f) - 6*u(f). Determine -3*a(q) - 7*t(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -110*f + 4*t + 274, -f + 85 - 173 = -0*t + 3*t - 51 - 82 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49877663, -49877662, -49877661, -49877660?\nAnswer: -49877659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-4)*(5 + 101). Let u = -47 + m. Suppose u*r - 119 + 11 = 0. Calculate the highest common factor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -3\/4, -9, 0.3163, -0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 6*y**2 + 13*y - 53. What is the hundreds digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002138 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 3*j + 2*j)*(-35*j**4 - 14*j**4 - 32*j**4).\nAnswer: -81*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1565 in 50, 1, 0.1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 480950797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12135?  (a) -0.3  (b) -1  (c) 3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 3*f - 6*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w\/(w**0*w)))**(2\/11))**38)**(-2\/5))**(-28) assuming w is positive.\nAnswer: w**(4256\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5086753 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s**3 + 311*s**2 + 635*s + 9. What is v(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5 + (-1115)\/(-150) + (-6 - -2) and ((-2)\/10)\/(3*(-30)\/216)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-18) + (-40)\/48. Suppose 4*w + 4*t - 36 = 0, -2*t + 30 = 2*w + 3*t. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 17 + 6 = 4*b, -8 = -b - 3*d. Solve b = 4*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -196*c**3*n**2 + 136*c**3 - 3*c*n - 1 wrt n.\nAnswer: -392*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 56, 192, 416, 728, 1128, 1616?\n\"Answer: 44*q**2 + 4*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 4  (b) -6\/13  (c) 0.2  (d) -684  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*s**6 + 2*s**4 + 2529*s**3 + 83*s**2 wrt s.\nAnswer: -240*s**3 + 48*s + 15174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 127, 112.\nAnswer: -2, 112, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is aab249 - -15?\nAnswer: aab262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18237, -17597, -16905, -16137, -15269, -14277?\nAnswer: -13137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021976 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 - 9 - (-9 - -2). Suppose -4*j + 1156 = -m*t, -5*j + 5*t - t = -1449. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q - 3. Let h(k) = 2*k + 3. Determine -5*h(b) - 4*o(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**4 + n**4 + n**4)*(-1 + 0 + 2 - 3 + 6 - 1 + (-1 + 4 - 2)*(4 - 6 + 1)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-138*h + 30 + 2*h**3 - h**3 + 140*h)*(-6 + 3 + 1 + (0 + 2 + 0)*(0 + 1 + 1) + 3 - 1 + 0).\nAnswer: 4*h**3 + 8*h + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 1. Suppose 0 = j*t + 8. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*1*-3 - (-1*sqrt(70)*-3 + sqrt(70)))\/(sqrt(40)\/sqrt(4)*-6 - (sqrt(90)*-2)\/sqrt(9)).\nAnswer: 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2. Let g(u) = -5*u**2 - 5*u + 5. Let w(d) = -5*d**2 - 6*d + 6. Let a(c) = 6*g(c) - 5*w(c). What is 4*a(l) - 25*m(l)?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401996?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -45*o + 18. Let w(c) = -13*c + 5. Let x(a) = 5*r(a) - 18*w(a). Give x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of v**3\/3 + 21*v. Let n be (-22)\/(-18) + (-4)\/18. Let r(c) = -2*c + n - 1. Give r(b(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88, -117, -164, -229, -312?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 336 and 0.1?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -b**5\/30 - 23*b**2. Let x(w) = 6*w. Determine t(x(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 + -77.635. Round m to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23217 = 92*y - 16527. What is the highest common factor of y and 1992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/96 and 38\/363.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4\/9)\/(f*f\/(f**(-21\/2)*f)*f))\/(f*f*f**(-2\/25)*f\/(f*f\/f**(2\/13))*f) assuming f is positive.\nAnswer: f**(-87857\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + 0 - (133 + -120)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 = 3*x - 64. Is (2\/((-8)\/(-254)))\/(x\/(-1904)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5*n + 13 = -2, n = 0. Let x(d) = -d**2 - 3*d + 4. What is x(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -199 - -204. Solve 0 = 15*o - 16*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**3 - u**3 + u**2 + u**2)*(84 - 84 - 99*u).\nAnswer: 198*u**4 - 198*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20102443 - 1?\nAnswer: 20102442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23 and -38.\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 - 16319824*a\/9.\nAnswer: -2*a*(a + 8159912)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 4*o - 1. Let y be p(-2). Suppose -y*l - 2*l + 30 = 0. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -9. Suppose 0 = 3*w - 5*x - l, -4*w + x + 3 + 14 = 0. What is the third derivative of -5*j**5 + 4 - w - 4*j**2 wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 + 75. Find the first derivative of 20 + 43*s + 19 + 23 - j wrt s.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2979286?\nAnswer: 2, 29, 31, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z + 1. What is p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 99 - 94.8. Let u = -3.9 + h. Which is the smallest value?  (a) 0.5  (b) u  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7689878?\nAnswer: 2, 7, 41, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of 0*j + 1\/84*j**8 + 11\/15*j**6 + 3\/2*j**4 - 16\/105*j**7 + 0*j**3 - 8\/5*j**5 + 2*j**2 + 2. Find a such that x(a) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-105)\/1554)\/(3861\/(-21978))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of p**5\/60 - 5*p**4\/24 + p**3 - 3*p**2. Let j(s) = 2*s**2 - 10*s + 11. Let y(u) = 5*i(u) - 3*j(u). What is y(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 744630 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4766, 12725, 20684, 28643, 36602?\n\"Answer: 7959*n - 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -341 + -10300413?\nAnswer: -10301304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*o + 64 = 2. What is the closest to o in 2, 3\/4, -0.1, 64?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1053) + sqrt(1053) + (sqrt(1053)*2)**2 + (sqrt(13) - sqrt(1300))**2 + 4).\nAnswer: -10538 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-35)*(-150)\/270?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -3*m**5 - 6*m**4 + 3*m**3 + 6*m**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24788 by -591.\nAnswer: -24788\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-48)\/9 + 4)*(-7)\/476)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12046e - 619?\nAnswer: 11ed55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-10)*(-11325)\/(-50736)*42\/16.\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62315315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 4*v + 65 = 0, 792*k - v + 35 = 797*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 + (-9 + 5)\/(8\/(-8756)). Suppose m + 4861 = 57*t. What is the remainder when t is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -590, -2261, -4908, -8417, -12674, -17565, -22976?\nAnswer: -28793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -50a400 (base 12) to base 9\nAnswer: -2333140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*j + 6. Solve -4*i - 12 = 4*a, -5*a - 3*i - j + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 235 divided by -47.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 16) in base 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6567 - 2745. What are the prime factors of r?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*w = -17, 17 = 4*d + d + 3*w. Let y(h) = -d - 6 + 10 + h**2. Let m(x) = 52 + 11*x - 52. Determine y(m(k)).\nAnswer: 121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 t when four letters picked without replacement from jtjjtjjjtj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5599 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6225 minus 0.2?\nAnswer: -2.8225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 - 2*c**2 + 2*c**2)*(-4 + 1 + 1) - 13*c**2 + 5*c**2 + c**2 + 5*c**2 - 3*c + 3*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(147) + 1 - sqrt(147)))**2 - sqrt(24)\/(-1*sqrt(128)).\nAnswer: sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -4*d + 8. Suppose d*i - 6*i = -41600. What is i rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/73 and 101\/28?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283*s = -282*s - 20. Let n = 137 - 59. What is the remainder when n is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**5\/60 + 7*s**2\/2 - 6. Let n(c) be the second derivative of y(c). Let f(r) = -5*r. Give n(f(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -4, -665 in increasing order.\nAnswer: -665, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from anaaaaonnaannyncanaa?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7500 and 2454?\nAnswer: 3067500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -1.94. Let n = 2897.939975 + -2898. Let t = h - n. What is t rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -7 + 5 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n + 6. Let d(y) = 5743*y + 26. What is -d(q) + 4*m(q)?\nAnswer: -5731*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/3))**(4\/13)\/(a**(-4\/5)\/(a\/a**(2\/9))) assuming a is positive.\nAnswer: a**(1043\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78 + -2. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 8*w**2 + 11*w + 21. What is g(-3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/52 in -7\/3, -0.04, -3, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 1 = -6. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from {q: 5, n: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1821, 3641, 5461, 7281, 9101, 10921?\nAnswer: 12741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 - 53. Let k = o + 1. Let i be (8\/(-28))\/(1\/(-7)). Solve -k*z + l = -2*l + 24, i*z - 3*l + 21 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.062 + -9.062. Let u = 55 + q. Let s = u - 50. Which is the closest to s?  (a) 5  (b) -1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*-2 + (23 - 14). Suppose v - 4*s = -s + 10, 5*v - 10 = -q*s. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*s + 20*s + 31*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.17 - 0.625. Let u = -0.545000538 + x. Round u to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38 in -6\/221, 3, -4, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18813, 18818, 18833, 18864, 18917, 18998?\n\"Answer: n**3 - n**2 + n + 18812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 61709, 61731, 61757, 61787, 61821, 61859, 61901?\n\"Answer: 2*g**2 + 16*g + 61691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 18063870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2 + 5*k - 3. Give d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3109*i*z**4 - i*z**2 - 25*i*z + 25*i - 13*z**6 - 141*z**2 wrt z?\nAnswer: 74616*i*z - 1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 544*w + 151137 = 551*w. Suppose -5*m + w = 4*k, 2810 + 1514 = m - 5*k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.277083 - -0.4.\nAnswer: 4.677083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**10\/(b*b**(-7)*b*b) assuming b is positive.\nAnswer: b**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 567 rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21619*f**3 - 6132*f**3 - 6424*f**3 + (2 + f**2 - 2)*(3*f - 5*f + f).\nAnswer: -34176*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 674724702 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 363*o = 87*o + 80*o - 6468 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 901, 4, 0 in increasing order.\nAnswer: 0, 4, 7, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 42 = -4*h, h - 12 = -12*o + 7*o. Let p = 29 + -20. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 290150317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r**3 + 23*r**2 - 5*r + 13. Let g be i(-6). What is the greatest common factor of 203 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4432 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*m - 65*m + 20 = 0. Solve m - 4 = 18*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66757 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14274057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30354238777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - c**2 - 4*c + 133973. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15570677 to the power of 1\/2, to the nearest integer?\nAnswer: 3946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2760, -11206, -25254, -44880, -70060?\n\"Answer: 4*x**3 - 2825*x**2 + x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*h - 244 = 0, -16 = -2*h - 2*h. Calculate the remainder when g is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14813.\nAnswer: 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.82 - -141.18. Let f = 147 - z. Which is the closest to f?  (a) -2\/9  (b) 0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60098 is divided by 4192?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 4095*d + 1370237. Calculate h(-311).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 15*o**2 - 29*o - 42. Determine p(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (0 - 5) + (5 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7153161 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 2*b + 8, 3*j + b - 6116 = 0. Round j to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/154 and 48\/385.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 178, 1, -5 in increasing order.\nAnswer: -6, -5, 1, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724872 is divided by 2089.\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 5616*s + 22479. Let i = -129 + 262. What is the remainder when i is divided by x(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 34*f**3 - f**2\/2 - 4*f - 10. What is the tens digit of g(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22895.44 litres to millilitres.\nAnswer: 22895440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 214644, 214625, 214592, 214545, 214484, 214409?\n\"Answer: -7*s**2 + 2*s + 214649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -167459.\nAnswer: 5\/167459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*q**2 + 10*q**2 + 3*q**4 + 3*q - 2*q**4 - 2 in the form m*q + c*q**3 + b*q**4 + i + y*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -3\/4*q**4 + q + 3*q**2 + 4\/3*q**3 + 10. Let s(m) = 6*m**3 - 9*m**2 - 13*m - 2. Calculate -9*g(a) - 4*s(a).\nAnswer: 3*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s + 3*s + s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g**2 - 3. Let r(u) = -9*u**2 - 4*u + 7. Let t(l) = 3*l**2 + l. Let j(c) = r(c) + 4*t(c). Give -2*j(s) - 5*o(s).\nAnswer: 4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.101862 millilitres?\nAnswer: 0.003101862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5608 and 70.\nAnswer: -39.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(-2*t**4 - 2*t**4 + 5*t**4) - t**4 - 3*t**4 + 9*t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1571, 4, 0, 2.\nAnswer: -1571, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 + 64 + 21*q**2 + 80 - 89 - 100.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 489, 2101, 4789, 8553?\nAnswer: 13393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 + 13 + 47 + -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -19421 and -19421 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8288068 (base 9) in base 8?\nAnswer: 20710350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -10 - 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 97780579 to the power of 1\/2, to the nearest integer?\nAnswer: 9888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/16*6\/411. Which is smaller: -2\/5 or p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -8*7\/70*3805\/(-2). Let f = -821 + o. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3069107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -4, -1\/3, -92, -1\/8, -6238?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -8\/8915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r + 7. Let h(n) = -11*n - 45. Let d(p) = -4*h(p) - 21*s(p). Calculate d(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*s + 132*s - 56 = 0. Solve -3 = -x - s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 4*x - y, 2*x - y - 40 = 4*y. Suppose 0*i + x = 3*i. Solve -3*p + 5 - 4 = 5*z, i*p - 3*z = 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 6*t**2 + 6*t + 6. Let c be l(-5). Let p = 5 - c. Solve -7 = -p*n + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 21. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, -2, -0.5, 6, -6, 2\/5, -0.159?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-1) - (-15)\/(-4)*(-14336)\/(-2240)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -352454200 (base 6) to base 3\nAnswer: -110100210211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2230251*q**4 + 8817127 with respect to q.\nAnswer: -8921004*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of 340001*a**5\/60 - 5*a**4\/24 + 6*a**2. Let z be f(5). Round z to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2663, 5331, 7993, 10643, 13275, 15883?\nAnswer: 18461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -29, -89, -205, -395?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1136829556.9 rounded to the nearest one million?\nAnswer: 1137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -79.84 + 79.2373. Let y = l - -0.1027. Let h = 40.43 + 0.57. What is the biggest value in h, y, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-12)*(20\/490 + 95\/3675)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-1 - -5) - (-1 - -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 311, 650, 987, 1322, 1655, 1986, 2315?\n\"Answer: -r**2 + 342*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (9\/(-6))\/(69\/(-8678038)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 267221.\nAnswer: 353, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 43*u**4\/4 + 44*u**3\/3 + u**2\/2 - 279*u - 3103. What is the second derivative of c(g) wrt g?\nAnswer: 258*g + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289671 is divided by 2040?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = -3*h - i, 2*h + 26 = 2*i - 4*i. Let n be 12\/(-8) + (-423)\/6. Let m be 74\/12 - h\/n. Solve -15 = -m*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-4)*100*(-14)\/(-525)*-5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 + -36.019. Let j = l - -124.019. Does j = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -1290771.\nAnswer: -1\/1290771","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -67085.\nAnswer: -26834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c*c**0)\/c*c))**(-2\/61))**(-32) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 5*y = 17, -4672*y = -5*b - 9342*y + 4673*y - 33 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -1 - 33*c - 1 + 1. Let t(l) = 4941 - 2*l**2 - 1238 - 1231 - 1240 - 1232. What is t(i(g))?\nAnswer: -2178*g**2 - 132*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*z + 2*i - 7598, i = -z + 1900. Let o = z + -930. List the prime factors of o.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*x**3*z**4 - 816326*x**3*z**3 + 28553*x**3*z - 36*x**2*z wrt z?\nAnswer: -24*x**3*z**2 - 4897956*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1979749618 to the power of 1\/2, to the nearest integer?\nAnswer: 44494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a*d*g - a*d + a*g**2 + 169570*a - 7*d*g**2 - 54*d*g - 967*d - 1 wrt a?\nAnswer: d*g - d + g**2 + 169570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 658*j**3 + 21*j**2 - 21*j + 21. Let i(a) = -164*a**3 - 5*a**2 + 5*a - 5. Calculate -21*i(d) - 5*p(d).\nAnswer: 154*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 3:03 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 2. Solve m = k - 2 - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8, -43, -78?\n\"Answer: -35*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1098906728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k = -45 - 207. Let h(b) = 4*b**3 + 14*b**2 - 25*b - 21. Let m(s) = -s**3 - 5*s**2 + 8*s + 7. Let i(n) = 2*h(n) + 7*m(n). Give i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55913442 by -11037.\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/29427 and -43\/612?\nAnswer: 353124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + w + 0*w + (-8*w - 2*w + 4*w)*(21 + 7 + 2).\nAnswer: -183*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.5 + -9.2. Let m be (3 + -4)\/(2\/10) - -2. What is the nearest to -2 in -5, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/3)\/((-12)\/((-480)\/(-50))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 3*s - s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 814*j + 1. Let i be t(1). Let h(u) = 2*u - 24. Let x be h(12). Suppose 5*g - i = -x*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - 3*z**2 + 26*z + 14. Let s be t(-7). Suppose 46*k - s*k - 8442 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 9:39 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 122308 - 394.79.\nAnswer: 121913.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g**2 - 7*g + 3. Let k be (-3 - (-10 - -4)) + (7 - 4). Let u(h) = -h**2 - h. What is k*u(i) - a(i)?\nAnswer: -2*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 3:45 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11391642 and 45566568.\nAnswer: 45566568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 35*a**2 + 9*a + 1467. Give w(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-288)\/1680)\/((-1)\/(-5)*6\/3)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13.5?  (a) 6  (b) 23  (c) 0.4  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3739.014 - -3762. Let o = 0.014 + w. Let d = 22.99921 - o. Round d to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59012.47622898 + -59122.47623. Let z = -110 - v. What is z rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-5)\/((-23400)\/(-1544)))\/((-8)\/(-6)) and 143\/120.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -108 + 5?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/1)\/(2 - 3). Solve t - 4*x + 9 = -0*t, 2*x = -w*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122233310110 (base 4) to base 11.\nAnswer: -3a59a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 4, 3, -2\/1499?\nAnswer: -2\/1499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2813 - 2641. Calculate the lowest common multiple of 258 and o.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28949\/23 at least as big as -1260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 970747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 1, 5, 2, -671, 218 in increasing order.\nAnswer: -671, -4, -2, 1, 2, 5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 7*s**2 - 6*s + 4. Let m be d(6). Let w be (0\/(-2))\/(-2 - -4). Suppose w - m = -j. Solve f + 15 = j*u, f - 2*u + 10 = u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16047 + 22599. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 4 + 7*q + 2*q**2 - 13)*(0*q + 0*q - 2*q).\nAnswer: -4*q**3 - 14*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -203579 or -203580?\nAnswer: -203579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8401093l to millilitres.\nAnswer: 840.1093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*l + 3*z - 104 = 0, -5*l + 3*z - 269 = 0. Let h be 10\/l - ((-152)\/(-132) + -2). What is the third smallest value in 5, -75, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6, 17, 26, 33, 38, 41, 42?\n\"Answer: -w**2 + 14*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4865 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2 + 198*l + 201.\nAnswer: -3*(l - 67)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 1 + 3 = 0. Let x = -5 - q. Let d = -3.73 + 3.63. Which is the nearest to d?  (a) 4  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 2*i - 2 = 15, 1 = -i. Let f be (384\/480)\/(2 - 36\/5). What is the biggest value in f, x, -1, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6693277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1049, -2, -4\/3, -2\/305 in ascending order.\nAnswer: -1049, -2, -4\/3, -2\/305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3705496, -3705625, -3705840, -3706141, -3706528, -3707001?\n\"Answer: -43*t**2 - 3705453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/793 + 277656\/(-8418).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v + 6*v - v - 8*v - 515*v**3 + 4*v - 4*v - 8*v**3 + (0*v + 0*v + v)*(-3 + v**2 + 3).\nAnswer: -522*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-36)\/(-273) + (-2)\/7. Let r be 3 - 8\/2 - -3. Suppose -6 - r = 4*o. What is the nearest to o in 3\/2, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2. Let l(o) = 7*o. Let n(f) = l(f) + 6*q(f). Find the second derivative of n(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -3*t**2 + t + 33. Let i(v) = -5*v + 1. Give 7*i(g) - 6*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*w**4 + (w**3 + 3*w**3 - 3*w**3)*(-3*w + 4*w + 0*w))*(-7*w + 5 - 5).\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 10*u - 5. Let c be t(-8). Let m = -13 - c. What is the remainder when m is divided by (-1)\/2*(-10 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 33331321232 (base 4) in base 12?\nAnswer: 149a352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + u - 9. Let f(t) = 6*t**2 + 6*t - 45. Let o(l) = -2*f(l) + 11*x(l). Suppose -4*r - 20 = 4*n, 2*n = 2*r + 3*r - 10. Determine o(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, c: 3, r: 2, s: 3, o: 1}. Give prob of sequence ra.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1346*p**2 - 1965*p - 1966*p + 3931*p.\nAnswer: -1346*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 7*i**2 + 4*i - 15. Determine u(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148349, -593385, -1335111, -2373527, -3708633, -5340429, -7268915?\nAnswer: -9494091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2*sqrt(1053)*2 + 2 + 1))**2 + -3.\nAnswer: -3456*sqrt(13) + 269709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -10\/56643?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + ((0 - (8 - 6)) + 11 - -2 - 12).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*f + 6 - 21, -3*f = 4*l + 16. Let s = 4 + l. Suppose s*v + x - 51 = 0, -4*x = -2*v - 0*v + 34. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (29\/((-261)\/126) + 12)*3\/(-15). Let z = 15 - 7. Let l = -5 + z. Which is the closest to y?  (a) -1.6  (b) -3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 + 40.81. Let m = 1.19 + j. Which is the nearest to 1?  (a) 0.1  (b) 0.3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -728 divided by 56\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + w. Suppose -i + d + 12 + 2 = 0, w = 5*i - 4*d - 72. Calculate the least common multiple of 11 and 10\/(-4)*i\/(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 239*g**2 - 214*g - 5857. Give a(238).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 8:52 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**4\/11 + 104*m**3\/11 + 1786*m**2\/11 + 11284*m\/11 + 16224\/11 = 0.\nAnswer: -24, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56975?\nAnswer: 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 10, 0 = -i - 19*b + 18*b + 10. Suppose 3*f = 2*s - 11, 2*s - 6*s + i = 4*f. Determine y so that -10 + 30*y - 65\/2*y**2 + 15*y**3 - 5\/2*y**s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*s**3 + 58*s**3 - 17*s**3.\nAnswer: 66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3697101 less than -77890.071?\nAnswer: -3774991.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 3*k = -16, 23 = 5*v + 5*k + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -11*k + 10*k. Solve 0*z + 2*z = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*y**2 - 4*y**2 - y**2 - 7*y**2 - 14*y**3 - 4*y to b*y**3 + g*y**2 + r*y + p and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -5*o + b, -2*b = 5*o + 9 + 24. Let x(u) = 10*u**2 + 1. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5332*l - 5317*l = 14280. Is l greater than 946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hdyyhddddehhd. What is prob of picking 1 h and 2 y?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, d: 3, z: 1, m: 4, e: 2, y: 2}. What is prob of picking 1 m and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**4\/6 - r**3\/2 - 5*r**2\/2 - 6*r. Let u(z) = -5*z - 23. Calculate the remainder when u(-16) is divided by n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y - 10. Let s(r) = 2. Let q(m) = 2*j(m) + 10*s(m). Let u(g) = -g. Calculate q(k) + 4*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-126)\/(-12)*(-52)\/(-6). Suppose 0 = 6*d - z + 397. Which is smaller: -48 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -345*r - 144*r + 71*r + 354*r**2 - 229*r + 1 - 314*r wrt r?\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(sqrt(8)*1))\/(sqrt(108)*-1).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = u - 4*u - 379545, 0 = u + 3*v + 126535. Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -659409.\nAnswer: -1\/219803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 65318107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 1 + (-749 - -734).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 34181449*j. Let h(l) = -l**2. Give h(u(o)).\nAnswer: -1168371455739601*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**2 + 0*t**2 - 6106 - 2*t**3 + 6106.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 23761 (base 8) to base 5\nAnswer: 311400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - 23*k - 28. Let r be y(29). Let b = 249 - r. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -10 - 11\/4*p**4 + 0*p**2 - 7*p**3 + p. What is the second derivative of h(v) wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -828490 divided by 82849.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111721, 223443, 335165, 446887?\nAnswer: 558609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 25 = 0, -4*l + 9*o + 193 = 14*o. Solve -8 = -10*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*p = -0*p - 2996, 4*f + 3*p = 4014. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184180 = -3*x - 2*w, 26*w - 29*w + 61405 = x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a - 22. Let r = 85 + -97. Let f be j(r). Solve 4*m + 5*v - 18 = 0, m = -5*v + f*v + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(-1945)\/1556*1*4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1683 + 3566. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50949, 101897, 152843, 203787, 254729, 305669, 356607?\nAnswer: 407543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + c + 2. Let d be h(2). Let w = d + 0. Suppose w = 4*g - 5*g + 331. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -41 + 58 + 71 + 290*k. Let s(b) = 579*b + 168. Let j(i) = -5*l(i) + 3*s(i). Find the first derivative of j(q) wrt q.\nAnswer: 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2*w = 499182, -5*u = -9*u - w + 1996735. Suppose h = -u - 1500816. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-9))\/((-10)\/(-15)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3.4 * 0.8\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42653\/6 + 128023\/18. What is z in 4\/9*z**4 + 20\/3*z**2 - 64\/9 + i*z**3 - 32\/9*z = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 435509524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 926 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 727584 and 198432?\nAnswer: 2182752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 + 10. Let v = -12.9997 - o. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 3 + 10 + 2 - (197 - 198)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 100*j + 106. Let p be q(-1). Suppose -d = 3*b - 1145 - 132, -2*b = -5*d - 857. What is the greatest common factor of p and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2 - 21*q.\nAnswer: -3*q*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-328)\/208 + 11\/(-22) - (-2 + 0).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 311869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5\/5 + 2634*i**4\/5 - 222572*i**3\/5 - 686184*i**2\/5 - 460976*i\/5 = 0. What is i?\nAnswer: -2, -1, 0, 94, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1013071000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b0 - 8?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Find the second derivative of -5*b + 2*b + 23*b**2 + 2*b - 22*b**h wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7463.7 rounded to the nearest 10?\nAnswer: -7460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/(-1 + 2) - 2 and 33\/(-12 - -23) + 31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3583.1769 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-231)\/99 + 22\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 9*k**2 + k - 5. Let y be t(9). Let b(a) = -y*a + a**2 + 4*a + a. List the prime factors of b(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-3*(2 + 4 + 0 + 4*sqrt(1008)) + -2)**2)*2.\nAnswer: 11520*sqrt(7) + 291108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/5772 and 55\/52.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 867 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysxsjxsysyx. Give prob of picking 1 s and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c + 15*c = 72. Factor -9*l - 49*l**3 + c*l - 9*l + 14*l**4 - l**5.\nAnswer: -l**3*(l - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -25\/8, 2\/9, 0?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 10*s + 20. Let o be n(-8). What is a in 11*a**3 - 10*a**3 - 6*a**4 + a**4 - a**5 + 5*a**o = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -47*j - 8. Let n(a) = -a**2 - 24*a + 340. Let u be n(10). Determine l(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -49*d**2 - 31*d**2 - 35 + 35*d + 18*d**2 - 18*d**2. Let w(v) = -9*v**2 + 4*v - 4. What is -4*g(x) + 35*w(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2*-1 + -14 + 15 - 5) + 61. Solve 0 = -9*p + l - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 2:54 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1425 a factor of 4432230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o - 20. Let k be d(8). Calculate the common denominator of -23\/12 and (-1)\/((-1)\/1) - 642\/k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -363*q - 13057 + 6548 + 6520 to k + c*q and give c.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1218*w - 504*w + 290*w + w**2 + 3.\nAnswer: w**2 + 1004*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -97 - -1453\/15. What is the third smallest value in -1, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 1 + 1. Let m be (4\/6)\/(5\/225). Let b = m + -26. Solve 0 = -j*c + b*f - 31 + 5, 0 = 3*c + 3*f + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 2:24 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/71892 and -45\/27958?\nAnswer: 503244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*q + 38*q = -160. What is the remainder when q is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -36*v**3*w + 1019*v**3 - 113*v**2*w + v*w + 2*v + 160*w - 34852 wrt w?\nAnswer: -36*v**3 - 113*v**2 + v + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1584520?\nAnswer: 2, 5, 7, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 - -42 - 690\/36?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*15\/((-90)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -179 - -181. Solve i + s*i = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**4\/4 - 77*p**3\/2 + 598*p**2 - 4275*p\/2 - 11097\/4 = 0.\nAnswer: -1, 9, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100121002220021212 + 2?\nAnswer: 1100121002220021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.443344062*-0.4.\nAnswer: -0.1773376248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**2 + 3*x**2 + 2*x**2 + (2*x + 2*x - 6*x)*(-x - x - x) + 0*x**2 + 6*x**2 - 2*x**2 in the form g*x**2 + h*x + y and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4578 and 354459.\nAnswer: 77272062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = -117 + 152. Calculate the smallest common multiple of 18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k*x**3 - 122*k*x**2 + 1705*k - 4*x with respect to x.\nAnswer: -3*k*x**2 - 244*k*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f**3 + 75*f**2 + 132. Suppose 10*k - 37 = 133. Let d(u) = 6*u**3 + 224*u**2 + 397. Let m(r) = k*g(r) - 6*d(r). Differentiate m(o) wrt o.\nAnswer: -6*o**2 - 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - 19*g**4\/24 + g**3\/2 + 13*g**2. Let u be v(-13). Suppose -u*r - 62 = -83*r. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkqkqqqqqqkqqqqq. What is prob of sequence kq?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 384*n - 2385. Is 39 a factor of i(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -471 + 6*r**2 - 321 - 3*r**2 - 13*r - r**2 + 12*r as q*r + z*r**2 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 0)\/(-2 + 1). Suppose 0*k = -2*k + 4. Solve -k*v + 10 + 0 = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/272260 and -125\/10781496.\nAnswer: 53907480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-35.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 8. Suppose 2*h + n = 9, g*n - 7 = -h + 2*n. Calculate the remainder when (-14)\/(-6)*(-12)\/(-2) - -4 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 4:43 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 206224313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*u**2 + 41*u**2 + 48*u**2.\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -2\/3  (c) 766  (d) 776  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 30 = 5*d, -5*k - 2*d + 0*d = -21. Suppose -2*s = k*s. Solve 5*l = t - 5*t + 12, t - 4*l + 18 = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/(-1 - 2\/4). Suppose 2*a - r = -a. 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 i = 75 - 49. Suppose -34*r + 560 = -26*r. Calculate the remainder when r is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, e: 2, f: 5}. Give prob of sequence fke.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 4*m**2 - 7*m - 7. Let i be d(-5). Solve -3*b = -12 - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 33 - -10431?\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**4 - 18*a**2 - 8*a + 24.\nAnswer: 2*(a - 3)*(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1307*w**6 - 3*w**3 + 122*w**2 + 618*w wrt w.\nAnswer: 156840*w**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 341 - 344 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87 + -43. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 466, 939, 1416, 1897, 2382, 2871?\nAnswer: 3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -81, -50, 139, 564, 1303, 2434, 4035, 6184?\nAnswer: 8959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2229?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 409 + -408.998428. Round n to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((9\/4)\/(-3))\/((-3)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 59*m**2 + 297*m + 29. Is y(73) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(2)*-1 + 3 + -2).\nAnswer: -5*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -414  (b) -2  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62666 = 2*b - 4*m, -b = 3*b + 3*m - 125310. Suppose -37*c - 5170 = -b. Is c a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1514 - 650 - 770 + 2*v)*(-4*v**4 + 6*v**4 - 3*v**4).\nAnswer: -2*v**5 - 94*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 21*s**2 + 18*s.\nAnswer: 3*s*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0*11.213\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3342 + 16091 = 19*b. What is b rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 167, 250, 333?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 141192805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3590929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -96738.326 + 0.9.\nAnswer: -96737.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -28ea + 45933?\nAnswer: 43038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - b + b)*(-2*b**2 + 2*b**2 + b**2) + (-2 + 2 + 2)*(2*b**3 - 3*b**3 - 2*b**3).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + i - 3*i)*(1 - 3 - 1) - 2*i + 0*i + 3*i + (-44 + 81 + 43)*(6*i - 2*i - 2*i).\nAnswer: 167*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-25)\/(-75)*(-5)\/((-120)\/9). Let h = -19 - -12. Which is the closest to -1?  (a) h  (b) -3  (c) -0.1  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 17*t + 805. Give n(-58).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 92, -161, -4.\nAnswer: -161, -5, -4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {j: 1, o: 1, b: 1, x: 2, k: 2, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 + 2*d + 12.\nAnswer: -2*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -835.684187954548 and -0.5.\nAnswer: -836.184187954548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146404 is divided by 722?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2090118 is divided by 575.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60521 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34377, -34788, -35195, -35598, -35997?\nAnswer: -36392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1923 + 1923. What is the nearest to 2\/71 in 5, z, 2\/3, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -109\/71 + 1037\/213. Suppose -2\/3*w**2 + l*w - 4 = 0. Calculate w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17337\/806 - -4\/403. Let s = 4253\/198 + i. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 3*g + 71. Let n be r(-5). Solve 0 = n*y + 124 - 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3602360784?\nAnswer: 2, 3, 11, 19, 73, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 3:42 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 34  (b) -6483  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2173 + 2981. Let m(n) = n**2 - 8*n + 15. Let v be m(7). Calculate the greatest common factor of w and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -19*v - 1. Let s(y) = 28*y + 2. Calculate -8*p(h) - 5*s(h).\nAnswer: 12*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 - 3. Let k(s) = -s**2 + s. Give -2*k(l) - x(l).\nAnswer: l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t - 8*t = 9*l + 4*t + 113, 14*l + 172 = -5*t for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + 4*p - 2, 0*p = 2*p. Let q be (-39)\/(-26)*(j - 0). Suppose 3*m = 3*t + 6, q*m = -3*t + 14 + 10. Solve 10*v - m*v - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*(-28 + 21270\/760)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10 + 9)*10*-3. What is the hundreds digit of 3285\/z*50\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 797772641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 210, 183, 138, 75, -6?\n\"Answer: -9*b**2 + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 f when three letters picked without replacement from kykvfvfkvvvv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 20.21037 months?\nAnswer: 0.16841975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1299 - 3?\nAnswer: -12a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7177.598kg in milligrams?\nAnswer: 7177598000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011 + 10011001001?\nAnswer: 10011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5710*k - 5023*k + 6972*k + 31886*k + 36078*k.\nAnswer: 75623*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/48 and -71\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 4:54 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1425454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 4002204?\nAnswer: 4002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12322 by -61.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r. Let h(t) = -19*t**2 - 25*t + 95. What is h(o(s))?\nAnswer: -475*s**2 + 125*s + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 1 = 4*r. Suppose 0 = -0*j + r*j - 60. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14721 = 10*j + 9*j - 707. List the prime factors of j.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.31 + -6\nAnswer: -9.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + u**2 + u**2 + 0*u**2)*(23 - 71 + 114)*(2*u**2 + 0*u**2 + 2*u**2)*(1 + 2 - 4).\nAnswer: -528*u**4 - 264*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5437 to three dps.\nAnswer: -0.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/((312\/24)\/494)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -16*l + 28. Let n(c) = -7*c + 13. Let r(k) = -9*n(k) + 4*o(k). Calculate r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2912 and 25521132.\nAnswer: 204169056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 286\/14 - -1. Let n = -419\/14 + o. Is -1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20332463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*b + 2*o, -5*b - 2*o = -5*o - 1. Suppose -b - 2 = 4*v. Let a = -1.5 - -1. What is the closest to 2\/5 in v, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -5*p**2. Let b(r) = -r**2 - 9*r - 179. What is b(y(c))?\nAnswer: -25*c**4 + 45*c**2 - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 28373 take away 97607?\nAnswer: -69234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-7)*1\/(-3). Suppose -3*h = 2*g - 5*h + 126, j = g - 2*h + 66. Let y = -52 - g. Which is greater: 4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 839 + 42*l + 63*l - 103*l.\nAnswer: 2*l + 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -101 + 105. What is the second smallest value in q, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31168*z - 62349*z + 31180*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 7*n - 11*n**2 - 12*n)*(3 + 2 + 1 + (1 + 0 + 1)*(3 + 4 - 6)) to k*n + a + x*n**2 and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.63 + 98.63. Let m = h - 19. Let a = 78 - m. What is the second smallest value in -6\/7, -0.5, 1, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*y + 21. Let s(d) = d**3 - 12*d**2 - 13*d + 4. Let i be s(y). Suppose i*u = u - 0*u. Solve -7*f + 2*f + 5 = u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 381, 1647, 3755, 6705?\nAnswer: 10497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3977, -4008, -4041, -4076, -4113?\n\"Answer: -r**2 - 28*r - 3948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6576.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2455, 5, -827 in increasing order.\nAnswer: -2455, -827, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/7, 5, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {v: 8, d: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 348*b**3 + 11*b**2 + 4*b wrt b?\nAnswer: 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -175, -10, -3, -2\/3, 1 in descending order.\nAnswer: 1, -2\/3, -3, -10, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/489295  (b) 4\/7  (c) -1\/7  (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a**(3\/4)))**(-31)\/((a\/(a\/(a\/(a*a**(-9))*a)))\/(a\/a**(-2\/97))) assuming a is positive.\nAnswer: a**(5537\/388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/25 - 10362*c\/25 - 10364\/25.\nAnswer: 2*(c - 5182)*(c + 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 78*u + 6. Let t(o) = -2*o**2 + 104*o - 8. Let v(g) = 3*t(g) + 4*y(g). Let x(h) = 3*h + 53. Determine v(x(r)).\nAnswer: -18*r**2 - 636*r - 5618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14246.\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 2*d - 3*d)*(5*d**3 + 2*d**3 + 2*d**3) + (-3*d**3 + 0 + 0)*(5 - 5 - 5*d) + d**4 + 0*d**4 + d**4.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11485140.\nAnswer: 2, 3, 5, 67, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 2*s + s)*(-2 - 6 + 1) + (-4 + 0 + 5)*(3*s + 2 - 2).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - x = -0*u, 5*u = -4*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b + 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-498)\/(-36) - (-2)\/12. Let h = 22 - s. Solve 2*c - 4*j + 6 = -h, 0 = -c - 5*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 12*a**2 - 12*a + 1. Let b = 253 - 240. What is the remainder when 123 is divided by h(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of g**6\/30 + g**5\/60 - g**4\/24 + g**3\/2 + 8*g**2. What is the remainder when y(3) is divided by (30\/7)\/((-1)\/(-7))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3\/5, -0.2, 21286, 3, -4, 2?\nAnswer: 21286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 79961, 12, -1, 3 in ascending order.\nAnswer: -4, -2, -1, 3, 12, 79961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 26 = -a + x, -4*a + 18 = 2*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292000 is divided by 148.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w - 4*w = 1998. Let b = w - -113. Solve 0 = -o + 2*o - 5*h + 10, -4 = b*o - 2*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 598970498 and 2786.\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-4)\/(-46)*-1). Let j(q) = 1849*q + 25909. Let t be j(-14). What is the greatest common divisor of t and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a factor of 7319791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -9 + 7 - (2 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 11*t**2 - 8*t - 5. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 654\/109 + -6 + 2\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 815750.8 hours to microseconds.\nAnswer: 2936702880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 832 = 29*m - 527 + 25. Let v(p) = -4*p**3 - p**2 + 3*p + 1. Let l be v(-2). What is the greatest common divisor of l and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76732 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 149, -4, 6381 in descending order.\nAnswer: 6381, 149, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 5, 6, -0.1 in ascending order.\nAnswer: -0.1, 0.5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 26608041 to the power of 1\/2, to the nearest integer?\nAnswer: 5158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -189 (base 13) to base 16\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 6*m - 2. Suppose 8 = 3*w - 7. What is the units digit of k(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3911172 (base 10) to base 13.\nAnswer: a6c305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -43*j. Let v(c) = 16*c. Let h(n) = -3*b(n) - 8*v(n). Let a(l) be the first derivative of 9*l**2\/2 + 2. What is a(h(u))?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*0\/((-9)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 312 - 312.206. Let a = b - -0.006. Sort -3\/2, 5, a, -6.\nAnswer: -6, -3\/2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 - -63. Let w = q + -6. Let n = 5 + 11. What is the greatest common divisor of w and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5119 + 5923. Calculate the smallest common multiple of w and 18.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 8. Suppose -13*s + 105 = -8*s. Suppose 3*g - s = -3*n, 3*n - 17 = -0*g - g. Sort g, -3, x in increasing order.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 851545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 20 times 53.24\nAnswer: 1064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 4*q = 4, -5 = 3*u + 3*q + 2*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 7:51 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2444630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 564 + -475. Suppose v + 4*v - 5*l - 105 = 0, 0 = 3*v - 5*l - 69. Calculate the remainder when c is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 10*d**2 - 10*d + 7. Let c be x(-8). Let b = -92 + c. Let j = -78 - b. What is the remainder when j is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -1\/3  (b) -2506  (c) 0.035\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 3. Let w be r(-3). Let g be w*(168\/(-9))\/4. What is the greatest common divisor of g and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + 57. Round w to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1363 + 1408. What is the highest common factor of 3435 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 523162 (base 7) to base 11.\nAnswer: 61651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10871*v**6 + 2*v**4 + 147542*v**2?\nAnswer: -1304520*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9027997 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u - 6. Let w = 2 - u. Solve -2*s = -2*t - 12, w = -3*s - 4*t - t - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.08 - 0.8. Let i = 0.12 + n. Let w = -1.1 - -1. What is the closest to w in i, 1, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1216 and 8864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -610*d**3*p**3*v + d**3*p**2 + 40*d**2*p**2*v - 29*d*p**3*v - d*p**2 + 13*p**2*v wrt p.\nAnswer: -3660*d**3*v - 174*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 51954 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or -203655?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + n = 27524, 10*w + 2*n - 34408 = 5*w. What is w rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/18)\/4*31\/((-2635)\/(-34))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2002?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l + 4. Let w(m) = -5*m**2 + 5*m + 1. Let p(a) = a**2 - a - 1. Let n(o) = 4*p(o) + w(o). Give -4*n(c) - 3*t(c).\nAnswer: 4*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -79193, -6, -0.25?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45812*q - 4*q**3 + 2*q**3 + 4*q**3 + 38227*q.\nAnswer: 2*q**3 + 84039*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 1212*s. Let z(j) = -605*j. Let r(u) = i(u) + 2*z(u). Let v(q) = 2*q + 7*q - 1 + 5*q. What is v(r(o))?\nAnswer: 28*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**4\/8 + 229*l**3\/4 + 51517*l**2\/8 - 52899*l\/2 + 53361\/2 = 0.\nAnswer: -231, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*f - 10*f. Let a(n) = -n + 7. Let k be a(5). Solve -f*m + k = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-10)\/(-5)*3)\/(5 - 3). Let s be 20\/12 - n\/(-9). Solve -b = 2*i + 5, -s*i + 2*b = 13 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -5*n - 5. Let w be z(-2). Suppose 7 - w = k. Solve -i - 9 = -k*q, 0*q - i + 6 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2 - 6039504*z + 4559451070752 = 0. What is z?\nAnswer: 1509876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64.5 + 61.5. Let v = -1 - 2. Let r = 3.5 + v. Which is the closest to 0.2?  (a) g  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**2 + 1016*g - 129032 = 0. Calculate g.\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**3 - 48*k**2 + 49*k - 39. Let u be f(23). Suppose -3*t - 22 = -502. What is the highest common factor of t and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6*o**2 - 19*o - 23. Is l(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.81711296 + -7.4.\nAnswer: 1.41711296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001110110 (base 2) to base 12.\nAnswer: 7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 - (-7 + 6\/(-2)). Suppose -201 = -i*l + 3*l. Calculate the remainder when l is divided by 1\/(-2)*-46*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3925005?\nAnswer: 3, 5, 7, 29, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -62 + 96. Let n = -18 + i. Let t = 32 - n. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(190)*2 - -4*2*sqrt(190))\/((sqrt(20)*2*-2)\/(sqrt(6)\/sqrt(27))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76477 and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1042121.8894 to the nearest one thousand.\nAnswer: -1042000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-299)\/390)\/((-12)\/30))\/(7*(-10)\/(-105)).\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 12:39 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -6428000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(((-315)\/(-10))\/(-7))\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 42 - 63 = -4*v + 11 - 24, -29*b + 196 = 4*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*v**4 - 2*v**4 - 5*v**3 + 3*v**2 - 9*v**2 + v**4.\nAnswer: -v**2*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**4\/24 + 2*j**2. Let i(z) be the first derivative of 2*z**3\/3 + z**2\/2 + 6. What is -i(a) - 2*k(a)?\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b - 7900 = -6*b. Suppose -w + 4*y + 490 = -b, 2*w = -3*y + 1770. List the prime factors of w.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*y = 5*f + 10916, 10916 = 2*y + f. Suppose y + 1112 = 6*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 10*r**2 - r - 10. Let d be a(-10). Differentiate 0 + d - 2*h + 0*h + 2 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g - 385 = 19*g. Let x = g - -884. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppjjppqpvzpppzpz. Give prob of sequence zv.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 6\/29  (c) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 z, and 1 r when three letters picked without replacement from reeiijjeriiirjz?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/4)\/n)**40\/(n*n**(-1)*n**(2\/5)))\/((n\/(n*n**0))**(-2\/3)\/((n*n\/((n*n\/(n*(n*n**(-3))\/n))\/n))\/((n**(-1\/2)*n)\/n))) assuming n is positive.\nAnswer: n**(-309\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 513 = 3*h, -4*u + 0*u - 3*h = -685. Suppose u = 4*w - 220. Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(((-14)\/(-21))\/(2\/3)). Let n(o) = -4*o - 6. Let r = -173 - -174. Let w(k) = 1. Give b*w(u) + r*n(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*l + 21 = 0. Let x = l - -24. Suppose -x*m + 10*m = 0. Sort -2, -5, m in descending order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/z**(-9\/2))\/z))**(-21\/2)*(z\/z**(2\/27))\/(z*z\/(z\/z**(3\/7))*z))**45 assuming z is positive.\nAnswer: z**(133235\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - -3132?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 69\/14, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 8521422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -622 - -2333. Let b = 4037 - i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -2. What is the second derivative of 10*k**2 + k - 10*k**p + 2*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23510\/4021 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68, -395, -1004, -1919, -3164?\nAnswer: -4763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 609962 and -0.3.\nAnswer: 609961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -10748542 divided by -3274\nAnswer: 3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i + 3*i - i - 79 + 0*i to the form o + p*i and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18087 - 253103\/14. Find the common denominator of c and -101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 7 + -8 + 7 + 6 + -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 341 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/77 - 1494\/(-99)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 558810.377 + -561163.4. Let i = p - -2351. Let q = i + 0.023. Which is greater: q or -15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 21335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-315)\/168)\/((-3)\/16) - 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.89475 and -2659390532?\nAnswer: 2659390532.89475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**4 - 320*p**3*y + p**2*y + 2*p**2 + 3*p*y + 15*p - 17*y wrt p.\nAnswer: -24*p**2 - 1920*p*y + 2*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1877 + -3261. Is 0.1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -27, -33, -63, -129, -243, -417?\n\"Answer: -2*d**3 + 8*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348191 is divided by 393?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 + -15. Suppose -3*s + 10 = t*s. Find the first derivative of 5 - 2 + 0 + 5*y**2 - 2*y**s wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12062747*j - 12062738*j + 24125485*j + 11*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 10.9 and 119?\nAnswer: 108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/72*((-16)\/14)\/((-240)\/(-168)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50*c**3 - 273*c + 3.\nAnswer: 300*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17791, 37267, 56743, 76219, 95695, 115171?\nAnswer: 134647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4175 - 3?\nAnswer: -4178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 47fcc (base 16) in base 5?\nAnswer: 33413420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (105\/42)\/(8\/((-48)\/9))*9\/(-155)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.08 + -0.08. Let z = f + 0.26. Let t = -1.89999952 - z. What is t rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/2 and 32\/251.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(98) + -1)**2 + 3 - (1*sqrt(98)*-2 - (sqrt(98)*2 + 3)**2).\nAnswer: 70*sqrt(2) + 797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r**4 + 689*r**3 - 25282*r**2 + 42256*r + 191136 = 0. Calculate r.\nAnswer: -724, -2, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002942283 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 205130 - -0.2\nAnswer: 205130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 4*n = -0*z - 4998, 4*n - 4 = 0. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6\/38183 - 607766\/20122441. Find the common denominator of l and 23\/136.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + 4*j - 9. Let p(z) = 2*z + 9. Let t be p(0). Suppose -t*s + 4*s = 15. Determine o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 7*t**2 + 4*t - 9. Suppose -72 = -14*d + 26. Determine q(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2 - 4 = 0. Suppose -h + 2*s + 6 = -x*h, 2*h + s = 0. Solve -h*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 44 = 2*v. Let i = v - -35. What is the greatest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/9261 and -31\/7056.\nAnswer: 148176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25663.9992733 + -25664. Round v to five dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*4 + (3 - 3). Suppose 14 = -2*s - 0*s + o*a, -a + 8 = -2*s. Sort -2, s, 3 in ascending order.\nAnswer: s, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 2*w + 20, -79*w = a - 78*w - 8. Put a, -4, 1, 11 in decreasing order.\nAnswer: 11, a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-11)*(-4)\/6. Let q = -118\/613 - -2288\/5517. Which is the smallest value?  (a) j  (b) q  (c) 3  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 6. Let m(r) = r**3 - 5*r**2 - 5*r - 4. What is the remainder when n is divided by m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2382325180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6150136789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 65505290*g**3 - 135418282 wrt g?\nAnswer: 196515870*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2706 + -9\nAnswer: -9.2706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-5) - 208\/(-320). Let k = -0.37 + -11.83. Let f = k + 12. What is the biggest value in 1\/2, h, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -396694 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (46 - (34 - -13)) + (0 - 7) + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from nntbtnbt.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 6*p**2 - 7*p + 12. Let h be d(7). Suppose r + h*f = 7*f + 10, r - f - 28 = 0. What is the greatest common divisor of r and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26128 divided by -23.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 94 take away 7002?\nAnswer: -6908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x**2 - 266168*x - 4427837764 = 0 for x.\nAnswer: -33271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**4\/24 + 2*q**3\/3 - 23*q**2. Give k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2301 - -2469. What is the highest common factor of l and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -2\/31, 0.182, 5, 2\/7 in descending order.\nAnswer: 5, 3, 2\/7, 0.182, -2\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -32  (b) -0.15  (c) 2  (d) -4\/7  (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12921, -21214, -29507, -37800?\nAnswer: -46093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f - 4. Let v(c) = 13*c - 26. Let d(q) = 6*p(q) - v(q). Let n be -1*(-3)\/(-1) - -2. Let y be d(n). Solve 0 = 5*l - 18 + y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 252408276 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -3*b + 26. Let k be h(7). Solve 3*c = k - 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-4*(sqrt(2816) + -1)*1)**2.\nAnswer: -512*sqrt(11) + 45069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62470512173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2945, 3068, 3259, 3506, 3797?\nAnswer: 4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25\/84 - 137\/84. Let y = 873\/13 - 67. Which is the nearest to 0.21?  (a) x  (b) 0  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 11:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**3 + o**3 + o**3)*(1 + 0 + 2)*(2*o**2 - o**2 + o**2).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**2\/2 + 5*k - 7. Let z(v) = -v - 9. Let u(x) = -x - 8. Let q(w) = -4*u(w) + 3*z(w). What is 15*d(b) - 3*q(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l + 4 - 4 + (-28 + 20 - 57)*(-3*l - 5 + 5).\nAnswer: 192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254*x - 77*x + 7983 = 370 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2270)\/39725 - 5\/((-8050)\/512)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.656?  (a) 1  (b) -4  (c) -0.2  (d) 13  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 318, -48 in decreasing order.\nAnswer: 318, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -159\/119 - -13\/17. Which is the nearest to 0.1?  (a) 0.1  (b) -2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5123474 to the nearest integer?\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4 + 956*p**3\/5 + 546*p**2\/5 - 2272*p\/5 + 152 = 0. What is p?\nAnswer: -95, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - c - 91 = 0, 6 = 5*c - 14. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4 = 0, 3*i + 3*k = 4*k + 2. Suppose i*p = -5*m + 293, -302 = -4*m + 3*p - 86. Suppose -3*h - m = -6*h. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -52714*g**2 + 26353*g**2 + g**3 - 25*g + 12 + g**4 + 26359*g**2 as l*g + c + z*g**3 + x*g**2 + o*g**4 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 20*v**3 + 3*v**2 + 4*v. Let i be u(3). Suppose i = 5*y - 486. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.06, 3, 0, 23?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 3, n: 3, f: 3, c: 3, a: 2, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -357184*i + 336144*i - 1247097*i - 907933*i.\nAnswer: -2176070*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-3))\/84*4\/(-40)*-7?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 - -11714.9463.\nAnswer: 11685.9463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 790 - 3175\/4. Let u be (328\/(-84) + 4)*(-291)\/8. Let s = w - u. Which is the closest to -1\/8?  (a) 0.2  (b) 2\/19  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/122580 and -131\/83970.\nAnswer: 38122380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1716*a**2 + 781 - 3*a - 1597 + 815)*(2*a + 3 - 3).\nAnswer: -3432*a**3 - 6*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 + 8*x - 10. Let h be l(5). Solve -h*r = 3*k, 4*k - 11 = 5*r - 46 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 3*x**5\/10 - x**4\/3 + x**3\/2 + 7*x**2\/2 + 18*x + 2. What is the second derivative of h(s) wrt s?\nAnswer: 36*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f + f - 6*f)*(f - 1 + 1) + 21*f**2 - 80*f + 80*f + (0 + 2*f + 0)*(-4*f + 5*f - 3*f) to the form m*f + k*f**2 + j and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/85 and 99\/27812.\nAnswer: 139060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**5 + l - l + (2*l**4 + 2*l**4 - 2*l**4 - 2*l**4 + l**4 + 0*l**4 + (0*l**3 + l**3 - 3*l**3)*(1 + l - 1))*(-4*l + 2*l - l).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1186*a**3 + 980*a**3 + 228*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Is 295 a factor of 789964275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 14 = 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 54739941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -4.07. Let o = 0.03 - b. Let z = 4 - 0. Sort 3\/5, o, z.\nAnswer: o, 3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/3*3 + -1. Suppose -22 + g = d. Let y be (1\/(-4))\/(d\/(-980)). What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(208) + sqrt(208))*2 - (5 + sqrt(26)\/sqrt(2) + sqrt(13) + -1 + sqrt(13) + sqrt(26)\/sqrt(2)))**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -516 + 580.8. Let u = v + -64.6. What is the second biggest value in -3, 0.9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5948599127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 385713\/1526 or 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 20, -2*w - 3*w + 50 = 3*y. Solve 6 = -w*k + 10*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 - 22*j - 7. Calculate m(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v + 14. Let w be (0 - -1) + (-55)\/(-5). Let t be k(w). Let n(f) = -t*f**2 - f**2 + 0*f**2. Let d(s) = s. What is d(n(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -234.\nAnswer: -5\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -625361\/933300 - -1\/18666. Find the common denominator of i and 43\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 204 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -250  (b) -0.7  (c) 2\/423  (d) -5  (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of -985*j**4\/12 - j**3\/6 + 1931*j**2\/2 - 6431*j. What is the derivative of w(f) wrt f?\nAnswer: -1970*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1144033 + -628454. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**8\/((l**4*l)\/l)*((l\/(l\/(l*l*l\/l**3)))\/l)**(13\/3))**13 assuming l is positive.\nAnswer: l**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 42 - -70?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -6  (b) 0  (c) -47.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 3. What is m(7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 39 = 5*i + 41, 4*j + j + 45 = 2*i for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6434\/(-32) + (-25 - -28). Let c = -198 - r. Let q = 2 + -1.8. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 273\/13*(6 + -8)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-10 + 5)) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 176*m - 174*m - 5*z - 16471, 0 = 2*m + 4*z - 16408. Is m a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 5\/(1 + -6)*-8 - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0.2, -4, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 5289?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - 8 - (1 - (5 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 595*f - 53468. Calculate o(90).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3 - 19*d + 4 - 69*d - 6.\nAnswer: -88*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 20714, 20716, 20726, 20750, 20794, 20864?\n\"Answer: f**3 - 2*f**2 + f + 20714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2589 and -0.10603.\nAnswer: -0.027451167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 130, 212, 306?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u - 9*u - u + (4*u + u - 2*u)*(1 + 4 - 6) - 3 + 0*u + 1 + 2*u.\nAnswer: -14*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 5*j = 13 - 35, 4*y - 28 = 5*j. Put y, -5, 17 in ascending order.\nAnswer: -5, y, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*1*sqrt(192) - 6*(0 + sqrt(192))) + 3 + 3*((0 + (sqrt(192) - (2 + sqrt(192))) - sqrt(192)) + 5))**2 + 3.\nAnswer: -2304*sqrt(3) + 27795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from pnntwtwwnhnng.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 <= -96856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17, 58, 111, 176?\n\"Answer: 6*v**2 + 23*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 710*a**3 + 8*a**2 + 3*a + 10. Let p be m(9). Let d(o) = 10 + 4 + p*o - 245425*o + 354424*o. Let c be d(-11). Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*x + 18. Let h(k) = -k**2 + 13*k + 13. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2 + 3421\/11)*6.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*k**2*z**3 - 105*k**2*z**2 - 41680*k**2 - k - z**2 wrt z.\nAnswer: 9*k**2*z**2 - 210*k**2*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6*o + 77 = 3*h, 0 = -2*h - o + 63. Calculate the remainder when 97 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 10. Suppose -3*p + 27 = r*v, p + p + 3*v - 19 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from llcllcccclclccccccc.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d**3 + 132*d**2 - 745*d**2 - 47*d**2 - 26*d**3.\nAnswer: -20*d**3 - 660*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/348 and -67\/33770442.\nAnswer: 67540884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-5)\/t*t\/(t**(2\/13)\/t)*(t**(-1\/15)*t)\/t*t**6*t assuming t is positive.\nAnswer: t**(542\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide (849\/6)\/((-48)\/(-672))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (612\/(-816))\/((-66)\/(-80))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 6 = -4*o + 5, -3*u + 2*o - 19 = 0. Let i(s) = -2. Let t(v) = v + 9. Calculate u*i(z) - 2*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7507601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - -1 - (-38 - (4 - 28) - 13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 7:12 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21752249 to the nearest integer?\nAnswer: 4664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 2, -1, 3\/5, -1\/93, 4.63?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 + 672*k**2 + 6 - 605*k**2 - 2*k wrt k?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29694, -29770, -29870, -30000, -30166, -30374, -30630, -30940?\nAnswer: -31310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(-2\/3)))\/d)**(-17\/2)\/((d*d**3)\/d**(-3))*(d*d*d\/((d*d*d*d**(-2\/7))\/d))**(-3\/8)\/(d**5\/d**1) assuming d is positive.\nAnswer: d**(-1453\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 - -85. Suppose -5*l + 2349 = -0*j + 2*j, -3*j = 5*l - 2351. Let d = l + -379. Calculate the highest common factor of v and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 142082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**5 + 5*p**5 - 4*p**5 + (-2 + 2 - 2*p)*(-p**4 + 3*p**2 + 7*p**3 - 3*p**2).\nAnswer: 3*p**5 - 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/2))**(-6)*(z\/(z*z**(-9)))\/z*z**(2\/13) assuming z is positive.\nAnswer: z**(67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v**2 + 7*v - 7. Let k(a) be the second derivative of 2*a**4\/3 - a**3 + 3*a**2 - 11*a. What is 7*k(q) + 6*l(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 183863 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -506480 and -116.\nAnswer: 58751680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 19. Suppose -y + 3*y = -g*s + 64, s - 10 = y. Solve 0 = 4*n - 7*n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 x when three letters picked without replacement from xtddxdndxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 15\/2  (b) 193  (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0331 - 2.0631. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 10:22 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(720)) - (-3*2*sqrt(5) + (sqrt(5) - (sqrt(500) - ((sqrt(500) - sqrt(500)*-2) + sqrt(500)))))**2.\nAnswer: -3127 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 1235*t**2 + 24*t - 1. What is the remainder when p(1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.21, 1, -0.3, 0.3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -2\/3*l**2 + 2*l - 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 594 - 594 - 20*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = -10*b - 9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from -22.229.\nAnswer: -26.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**3 + 12*v**3 + 2*v**3)*(7*v - 7*v - v**2) + (2*v**2 - v**3 - 2*v**2)*(v - v + v**2) - v**5 + 0*v**4 + 0*v**4.\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6243a11 (base 11) to base 3\nAnswer: 202201122002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4*o + 2*o - 52*o**2 + 54*o**2)*(-o + 1 - 1).\nAnswer: -2*o**3 + 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -4*n - 11. Let v be i(-4). Let r(d) = d**2 + 2. Let s be r(v). Let z = 22 - -5. What is the highest common factor of z and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13.1, -249, -3?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 3*c = -35, -48 = -4*o - 542*c + 538*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 8*6\/15*20\/(-8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 n, and 1 q when three letters picked without replacement from {h: 1, d: 1, q: 1, n: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -30, -56, -98, -156, -230?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**2 + 4*y - 4. Let m = 2 - -3. Let v(q) = 2*q**2 - 5*q + 5. What is m*a(l) + 4*v(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, e: 2}. What is prob of sequence em?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 0) + 216\/(-56). Which is the third biggest value?  (a) -2\/17  (b) x  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 168 divide 32856936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4580.078 millilitres?\nAnswer: 4.580078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*p = -w - 15, 0 = 2*w + 2*p - 10. Solve 5*l - n - 11 - 1 = 0, w = -4*l + 3*n + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 110\/770 - ((-34)\/7 + 1). Suppose 10*z + 5208 = g*p + 12*z, -3*p + 3906 = z. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from wfffwfw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 10:30 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express h**4 - 76*h**2 - 8*h**3 + 15*h - 2 - 8*h**3 - 12*h**3 + 27*h**3 as u*h + k*h**3 + l + g*h**4 + c*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -25*r + 9. Let j be d(-2). Let h = 67 - j. Let b(g) = -2*g**3 + 17*g**2 - 9*g + 8. Let n be b(h). Solve 2*c - 4*z - 6 = n, 2*z = c + z - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b + 7 - 3 - 3 - 2*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 166076 and 24.\nAnswer: 996456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 + 21. Suppose 71 = 3*c + 17. Suppose -5*w + c = -4*j, 5*j + 3 = -w - 5. Solve 4*y + 6 + w = s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 2) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(7\/4))\/((-48)\/(-168))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86012 - 85973.173. Let m = 2652 + -2613. Let i = q - m. What is i rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -23, -45, -67, -89?\n\"Answer: -22*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**(-2)*z*z\/(z**3*z))\/(z*((z\/(z**(-2)\/z))\/z)\/z)**(-1\/8) assuming z is positive.\nAnswer: z**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of m**5\/20 + m**4\/12 - 7*m**3\/6 - 9*m. Let y be b(6). Suppose y = f - 187. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 0*f**3 + 4 - 209*f**2 + 107*f**2 + 6*f + 99*f**2 - f**3. What is z(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52 - -155\/3. Sort 3, p, -2\/5, -2\/9 in increasing order.\nAnswer: -2\/5, p, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/((1*sqrt(84))\/sqrt(7)))\/(-4*sqrt(100)\/sqrt(5)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 72.7032649 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9138715 + -7?\nAnswer: -9138720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -75605\nAnswer: 1\/75605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u + 95*u**2 + 0*u + 66*u**2 - u**2 - 114*u**2.\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209786?\nAnswer: 2, 29, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 97 - 90. Suppose -3*y + 3*d = -a*y + 3, 4*y + 4*d = 0. Let -40 - 2*m + m**2 + y*m**2 + 6*m + 8*m = 0. What is m?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -19150144, -38300289, -57450434, -76600579?\n\"Answer: -19150145*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -225*c**4 + 850*c.\nAnswer: -2700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 645, 0.3, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u - 97 = 12*u + 203 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0654?  (a) -1\/7  (b) 12  (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*a*p**3 + 275*a*p**2 + a*p - 5*p**5 + 2911*p**3 - 170*p**2 + 2*p + 3 wrt p.\nAnswer: -120*a - 300*p**2 + 17466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5567 divided by -5567.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/4 + 234\/66 and (204\/(-80))\/(4\/10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**5*y*y\/(y\/(y*y**(-2\/11)*y))*(y*y*y\/((y\/y**6)\/y))\/y*y**1 assuming y is positive.\nAnswer: y**(185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, d: 3, n: 2, y: 3, m: 1}. What is prob of sequence fd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2. Let b(p) = -p**2. Let v be (-2 + 5)\/(3\/(-4)). Let y(t) = v*b(t) - 5*o(t). Let m(n) = 17*n**2. What is y(m(j))?\nAnswer: -289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 5. Let x(g) = g**2 + 3*g - 1. Let y(f) = 2*f**2 + 7*f - 3. Let i(m) = 9*x(m) - 4*y(m). Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52457*-45.\nAnswer: 2360565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**4\/7 - 24648*n**3\/7 + 10560*n**2 - 73912*n\/7 + 24636\/7 = 0. Calculate n.\nAnswer: 1, 6159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 8*t - 113. Let g be w(14). Sort -5\/67, g, -0.3 in decreasing order.\nAnswer: -5\/67, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -11\/42*y**7 + 0*y**5 + 0*y**2 + 0*y**3 + 0*y**6 - 1\/3*y**4 + 0 - 4*y. Find the third derivative of r(q) wrt q.\nAnswer: -660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(-4)\/(-12) - 122\/42?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ktkfmottokv. Give prob of picking 1 f, 1 k, and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -3, -4, 15374, -0.4 in increasing order.\nAnswer: -4, -3, -0.4, -0.1, 15374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -38  (b) -2\/7  (c) -4\/3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/5))**(1\/34)\/(s**(-12)*s**(-9)*s) assuming s is positive.\nAnswer: s**(3399\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50.59 + -1392.61. What is x rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - j**3 + 5*j**2 - 33*j + 48*j - 19*j + (-j**2 - 4*j**2 + 6*j**2)*(2*j + 2*j - 2*j) + j**3 - 4*j**3 + 4*j**3.\nAnswer: 2*j**3 + 5*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/3*4\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -7*u. Let w(d) = 1256*d - 1542. What is w(y(j))?\nAnswer: -8792*j - 1542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*h - 0. Let u = h - 3. Solve a - u = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*(d\/((d**(-3\/5)*d)\/d)*d)\/d*d*d**(3\/5)*((((d\/(d*d**1*d)*d)\/d)\/d)\/d)**(-3\/5) assuming d is positive.\nAnswer: d**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9 - -9)*(1 + -2). Suppose -f - 2 - 1 = m. Which is greater: -7\/3 or f?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*x - 9 = -z, 2*z - 3 = -3*x. Let i(j) be the second derivative of -j**3\/2 - j. List the prime factors of i(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 500066 is divided by 5208?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/412 and 3\/20909.\nAnswer: 83636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 - 1)*(-42743*n**2 + 5*n**3 + 42743*n**2)*(-n**2 + 5*n**2 + 5*n**2).\nAnswer: -90*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 8. Which is the smallest value?  (a) -2\/9  (b) i  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 0)*(-4)\/6. Let c be (-622)\/(-10) - (-4)\/5. Suppose -d - j - 2*j - 3 = 0, 5*d - j = -c. Which is greater: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6*1)\/(-12 - -14). Suppose 0 = -2*z - o*x + 26, -x + 60 = 4*z - 12. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 7*z = 15, 5*z + 171051 = 3*r. Suppose -11*t + 188495 = r. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2. Let i be h(-1). Suppose -z + 5*z = 12. Find the second derivative of -w + i*w**z - 2*w - w**3 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4374 - 0.58247. Round x to 3 decimal places.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 3*c + 11, 0*n + 4*n - 2*c = 34. Let o = 5 - n. Let w be (o + 2 + 3)*2. Put 3, w, -3 in descending order.\nAnswer: w, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 1, -3.8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 7:52 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1681\/4 + 3303\/4. Which is greater: q or 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11671.\nAnswer: 11, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*n - 144387 - 35013. Suppose -30*b + n = -0*b. What are the prime factors of b?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 215*z + 185*z + 1106 + 59*z + 122*z - z wrt z.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 14 = 2*o + 13*a, -o - 4 = -a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -296 + 5*l**3 - 841 - 4*l**3 + 14. Let o be r(0). Let h = -602 - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 11 = 4*x. What is the tens digit of (-5 - -1)\/(x\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*w + 36*w - 173*w + 45*w + 52*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24831 and 2306493.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 101.9 - 102. Let l be (1\/(-3))\/(1\/(-15)). What is the nearest to r in 2, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.079 - 79.821. Let l = 80.307 + c. What is l rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**3 + h + 2*h**3 - 8 + 12*h**2 - 2*h - 11*h. Is q(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113693873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 980 = 4*p. Let i = -318 - p. Suppose -5*b - 2*y - y = -i, 5*b = y + 176. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 10  (b) 4  (c) -5  (d) -57  (e) 3.2  (f) -1\/5  (g) -0.013\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1432320 rounded to the nearest one thousand?\nAnswer: 1432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4758681307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**4. Let j(g) = -12*g**4 - g**2 - 44*g. Let h(u) = i(u) - j(u). Find the second derivative of h(q) wrt q.\nAnswer: 132*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16076 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d + d + 0*d**2 - d**2 - 4. Let v(n) = n**2 - 5*n + 5. Give 5*c(w) + 4*v(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 - -0.05. Let h = 0.3 - v. Let g = h - 0.05. Is 0 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -3. Suppose 3*r - f = 4*r. Let j = 18 + r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5547, 11060, 16571, 22080, 27587, 33092, 38595?\nAnswer: 44096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 6:44 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/9*(-2)\/(-5). Let v = 0.057 + 1.943. Put v, 0.5, g in descending order.\nAnswer: v, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}