{"text":"Question: Collect the terms in 9*b**3 + 95 - 95.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 12:05 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 14762 (base 10) to base 15.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 154894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ada when three letters picked without replacement from dab?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 14.6 times 42424\nAnswer: 619390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -30. Let p(h) = h**2 + h + 3. Let f be p(4). Let l = f - k. What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the first derivative of i**3 + 0*i - 7\/240*i**5 + 1\/24*i**4 + 10 + 1\/144*i**6 + 0*i**2. Let g(w) be the third derivative of f(w). Factor g(z).\nAnswer: (z - 1)*(5*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -17 (base 16) to base 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/6 and -75\/802?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 462 - 21. Determine l, given that -3*l + b*l**3 - 22*l**2 - 459*l**3 - l = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25 - 21*l**3 - 78 + 24 + 29.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (157 - 151) + (4 - 6) - 135.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 - 2 + 9 = -v + 4*h, h = 2*h - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -3.1550488 rounded to three decimal places?\nAnswer: -3.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -30*p**2 + 9*p + 4. Let c(j) be the second derivative of 5*j**4\/4 - 2*j**3\/3 - j**2 - 690*j. Give 4*b(d) + 9*c(d).\nAnswer: 15*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/9*6\/(-20))\/(11\/((-7040)\/(-4864)))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -76, -295, -658, -1165, -1816, -2611, -3550?\nAnswer: -4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 396431524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*q + 6. Find x such that -x**3 + x**5 + 0*x**5 + x**q + x**4 - 2*x**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 769056.1km?\nAnswer: 76905610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 64334131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:59 PM and 11:36 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -78 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.057 minus 143315131?\nAnswer: -143315131.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44882580.\nAnswer: 2, 3, 5, 61, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 495 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -132955, -529611, -1190705, -2116237?\n\"Answer: -132219*t**2 + t - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -236 - -419. Suppose -3*i + 4*i = d + 193, 5*d = 2*i - 401. Suppose i*p = q*p - 5. Which is smaller: p or -3\/67?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the second derivative of 0 + 0*u**3 + 2*u + 7\/12*u**4 + 0*u**2. Let n(i) = -3 + 4 - 2*i - 1. Determine g(n(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 325614484 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of s**4\/4 + 3*s**3 - 19*s**2\/2 + 23*s - 1395. What is j(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 45.075723993 + 0.5.\nAnswer: 45.575723993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -5*(-10)\/25 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*o = -6*o + 1. Which is smaller: -2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6 - 0) + 8 + 21. Solve 9*b + 5 = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -16*n - 29. Let t be z(-3). Suppose t + 77 = 6*s. Is 11 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 5*w**2 + 2*w. Let a be r(-2). Suppose 0 = -u - u + a. Suppose -u*c + 700 = -c. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -13*x**2 - 5*x**3 - 2*x**4 - 1 + 11*x**2 + 6*x**3 in the form q + k*x**3 + l*x + g*x**2 + d*x**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of -6 + 2901 + -1 + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-272 + 4100 + 1057 + 334 + 366)*(4*y**3 - y**3 - y**3) in the form u + q*y**3 + c*y**2 + d*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2423 is divided by 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1124 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24553494, -98213929, -220981316, -392855649, -613836922, -883925129?\nAnswer: -1203120264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2491\/200 - 29\/50. Calculate the common denominator of 71\/86 and s.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24\/235 or 0?\nAnswer: -24\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + 10100110111100?\nAnswer: 10100110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 + 4*b**2 - 61*b - 4. Determine f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 + -6 - (13 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of 7*y**3\/3 + y**2 - y - 9. Let c be h(1). Let r = c + -9. Is r less than -7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -11 - -76562?\nAnswer: 76551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -9ba4 (base 12) in base 2?\nAnswer: -100001101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13 + 17 + -25 + -3 + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -63 - -68. Solve -3 = y*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-7)*1638\/(-468).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/((-3)\/1) - -6. Suppose -l + 14 = 4*n, 2*n + 5*l - 4*l = s. Let q(i) = -i + 2. What is the least common multiple of q(-1) and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 84*m**3*y**2 - 7*m**3 - 839*m*y**2 - 728*m*y - y**2 - 42*y wrt y.\nAnswer: 168*m**3 - 1678*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.2 and 9447.\nAnswer: 1889.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/3 or -4\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 194 divide 92538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 q, and 1 u when three letters picked without replacement from {u: 4, y: 2, q: 1, p: 1, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-50)\/(-3) + (-24)\/36. Suppose n*r - 21*r = 10. Let b be 90\/(-5)*r\/6. Solve m = -4*q + 1, 2*m = b*m - 3*q - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -41*t - 250. List the prime factors of h(-32).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) 3\/2 (c) 0.41 (d) 0.1 (e) 264 (f) 0.031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffi when three letters picked without replacement from fffqfifqqfrxi?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17980 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * 7.2583\nAnswer: -2.17749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 308 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15275 is divided by 91?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - q + 16, -5*m + 26 = -4*q + 6. Let p(h) = 6*h**3 + 2*h - 6. Let x be p(m). Suppose 0 = 2*j - 4*j + 4*f + 158, 5*j - f = x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(288)*-3)\/sqrt(8))\/(sqrt(132)\/sqrt(275)).\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 998*i - 9 = -5*n + 997*i, -4*n = -3*i - 30. Factor 46\/5*z - 4 - 2*z**2 - 4\/5*z**n.\nAnswer: -2*(z - 2)*(z + 5)*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 12*d + d - 21*d + (d + 0*d + d)*(-1 + 0 - 1) + 3*d - d - 3*d + (1 - 6 + 3)*(-3 + 3 + 3*d))*(2*d - 2*d + 2*d).\nAnswer: -38*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -7. Let l(j) = -j + 1. Let t(f) = b(f) + l(f). Suppose -k = -4*d - 9, -15*k - 2*d + 20 = -19*k. Let y be t(k). Which is greater: -1\/53 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c. Let r(t) be the third derivative of -t**4\/24 + 2*t**3\/3 - 313*t**2 - 2*t. Determine r(g(b)).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-1890)\/(-147) + 3)*(-7)\/(-1). Solve -s*x + 102 = -128*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46206453 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 3*c**2 + 3*c - 2. Let l be d(-2). Suppose -l*k = -30 - 42. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -78910*a**4 - 2*a**3*o + 109839*o with respect to a.\nAnswer: -315640*a**3 - 6*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 954*g - 62951. Determine m(66).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b = -4*r - 4, b - 5*r - 3976 = -3959 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttgtggtggtgtgt. Give prob of sequence ttt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p - 57. Let x be t(-17). Suppose 0 = -4*o + 76 - x. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 23565 (base 12) to base 16\nAnswer: b95d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((-14)\/42)\/((-1)\/(-3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be 134\/6 + (-2)\/6. Suppose 0 = 2*b + 3*b + 5*w - 125, 0 = 2*b - 5*w - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1573.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89817 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -9332.\nAnswer: -3732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 137 + 104 - 78 = 5*j + 24*b - 20*b, 2*b = -4*j + 128 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 7*l**3 + 2*l**2 - 5*l + 5. What is n(2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2265205 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-6)*o\/((o**4*o)\/o*o)*o)\/((o*o**7*o*o)\/(o*o**7*o)))\/((o*o*o*o**1\/o)**(-7))**(-2\/149) assuming o is positive.\nAnswer: o**(-1383\/149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 107070920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 356, 1391, 3102, 5477, 8504, 12171, 16466?\n\"Answer: -2*s**3 + 350*s**2 - s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -358*u**3 + 10*u**2 - 12*u - 404512.\nAnswer: -1074*u**2 + 20*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 10) + (4 - (10 - 8 - -3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4356 to 3 dps.\nAnswer: 0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h**2\/3 + 22801624*h\/3 + 32494628564836\/3 = 0 for h.\nAnswer: -2850203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*c = -17*c - 300. Let h be (3\/15)\/((-24)\/c). Find b, given that 0*b**2 + 0 + 1\/2*b**5 + h*b + 0*b**4 - b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 30, 130, 230, 330, 430?\n\"Answer: 100*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z - 4. Let c(r) = 4*r - 5. Let h(x) = 4*c(x) - 5*v(x). Let l be (-16)\/120 + 58\/(-15) + 2. Let n(t) = -t**2 - 3*t + 1. Give l*h(q) - n(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2982*a - 1884*a = 3294 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2. Let x(s) = s**2 + 2*s + 252. Calculate x(k(l)).\nAnswer: l**4 - 2*l**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**2 - 191*k + 8856. Determine u(79).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 9*b**2 - 12*b - 185. What is the units digit of a(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -400 + 399.93. Which is smaller: -207 or z?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o + 9. Let t(d) = -3*d - 17. Let v(m) = -7*i(m) - 3*t(m). Let a be v(6). Let y be a\/(-9) + (-1)\/(-3). Do 4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.3 - -0.32. Let l = 0.246 - 0.546. What is the closest to f in l, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -133146 (base 8) in base 14?\nAnswer: -13034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 619822267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 9135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 133 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n*n**(-2\/7))\/n)**(19\/4)*(n*n**(8\/3))\/(n**(-4\/3)\/n) assuming n is positive.\nAnswer: n**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o**(-9))\/(o\/(o\/(o*o**6)*o)*o))**29*(o**5\/o*o\/(o*o**(-12))*o)**(3\/20) assuming o is positive.\nAnswer: o**(-8069\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be 524*-2*(-1)\/(-8). Let v = -112 - l. Let o(c) = 2*c**2 + 10*c - 10. Let b be o(-8). Calculate the greatest common divisor of v and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 4*-4*sqrt(448)*6.\nAnswer: -768*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 7 - 79 = 0. Suppose -22 = 25*y - x. Solve -2*g - y*t = -14, -9 = -3*g + 2*t + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*5*(4 + sqrt(448)*1 + 1 + 3)**2*4.\nAnswer: 15360*sqrt(7) + 61440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -1. Let m(r) = 2*r**2 + 5*r - 9. Let s(q) = m(q) - 6*z(q). Determine s(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16*y**4 + 2*y**3 - 2*y**2 + 5*y - 7*y**4 + 17 - 10*y**4 - 30 in the form q + o*y**3 + p*y**4 + r*y + n*y**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000725985 rounded to 6 dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1596 = 33*u - 4080. What is the derivative of u + 112*l + 4*l - 28*l + 33*l wrt l?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.4 and -10214.8.\nAnswer: -10215.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 167 minutes before 10:45 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.30204 - 0.00204. What is the third biggest value in 0.03, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7\/3*g**3 + 31*g**2 - 31 - 7\/3*g = 0. Calculate g.\nAnswer: -93\/7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 327.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -170 minus 33?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 546550759 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = -i + 40. Suppose 0 = -0*k - 2*k + 182. Let c = -53 + k. Calculate the remainder when c is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-32)\/(-3) - 4\/6. Let i = -18 + a. Let x = i + 13. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 124 = -296. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.04, 2\/15, -40.17484 in descending order.\nAnswer: 2\/15, -0.04, -40.17484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010010010 - -110010011110001010?\nAnswer: 110010101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4, v: 1, e: 6, k: 4, c: 2, q: 2}. What is prob of picking 1 j, 2 c, and 1 v?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -23 (base 11) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1\/8, -1\/4, -19 in ascending order.\nAnswer: -19, -3, -1\/4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qtt when three letters picked without replacement from {q: 1, r: 5, t: 9, k: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 8912, 2\/3, 0.1 in descending order.\nAnswer: 8912, 2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppppppppppphp. Give prob of picking 2 p and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -188 + 188 - 15*x as g + f*x and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve v = -h + 10, 312*v - 309*v + 54 = 18*h for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -12103 (base 6) to base 8.\nAnswer: -3347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 4. Suppose 3*o - h*o = 36. Let c = -25 + o. Calculate the highest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -100 in -1, 3\/4, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0*2049\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -332*m - 392*x = -396*x - 1680, -2*x + 15 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*221706.\nAnswer: 221706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1294912 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 74082637 to the power of 1\/2, to the nearest integer?\nAnswer: 8607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -128, -258, -390, -524?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-20))\/((-2)\/(-2))*-18*399\/63\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1702 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2258 - 2267. Let c(a) = -7*a**3 - 2*a**2 + 7*a - 12. Let l(m) = -6*m**3 - 3*m**2 + 7*m - 12. Let s(d) = 5*c(d) - 6*l(d). What is s(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*o - o**5 - 2*o**2 + 2*o + (5*o**2 + 0*o**2 - 4*o**2)*(-o + o - o**3) + 3*o**5 - 4*o**5 - o**5 + 2*o**5 + 0*o**5 - o**5 + 4*o**5 - 4*o**5 - 6*o**5.\nAnswer: -9*o**5 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 221337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 434965 is divided by 72493.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 7 + (5 - (6 + 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9839497 rounded to 3 dps?\nAnswer: 0.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3\/8 - -15\/8. Let o be 0 + (0 - -1 - -1). Which is the nearest to o? (a) 2\/7 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(64\/140) + 9\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/21*-6*3\/6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1365)\/130*12\/9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2200 (base 3) in base 4?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 352 and 325666.\nAnswer: 114634432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 300, 983, 1738, 2601, 3608?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28908)\/(-63))\/11 - 12\/(-42)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -151148 = 12*x - 70*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26789636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - 0. Let o(u) = 47 - 5*u**2 + 0*u**3 + 4*u**2 - u**3. Is o(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (14\/4 - 1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (13 - -2 - (-51 - -65)) + 16 + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 - -11. What is the greatest common factor of q and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*q**2 + 6*q**4 - 84*q - 16*q**4 - q**4 + 3*q**3 - 48 + 14*q**4 - 46*q**2 = 0. Calculate q.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2155263 is divided by 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -9362*s + 121706. Determine v(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2423, -13394, -31685, -57302, -90251, -130538, -178169?\nAnswer: -233150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (173 - 173 + 105*f)*(-1 + 1 + f).\nAnswer: 105*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wviipppppqibp. Give prob of sequence bwv.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 101 is divided by 94?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -140*g = -52*g + 216*g + 162*g - 56386 for g.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 12444043200?\nAnswer: -12444043142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9\/68 + -2\/17. Let s = -0.63 - 0.07. Let y = -1 - s. Which is the closest to p? (a) y (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 106187440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 168162, 336357, 504552, 672747?\n\"Answer: 168195*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32856 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 949661451.\nAnswer: 3, 105517939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -117357275 equal to -117357276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 227 - 230. Which is the fourth smallest value? (a) 5 (b) 0.1 (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oq when two letters picked without replacement from eqfertqot?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -185845, -371687, -557531, -743377?\n\"Answer: -t**2 - 185839*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1522.39 times 723\nAnswer: 1100687.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1597 + -733. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/3*l**2 + 23\/6*l + 2 - 1\/6*l**3.\nAnswer: -(l - 12)*(l + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -426*v**2 - 6*v + 117. Let y(z) = -853*z**2 - 11*z + 236. Let l(m) = -7*g(m) + 4*y(m). What is the second derivative of l(q) wrt q?\nAnswer: -860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13 or -2\/277?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*d - 2*d**4 + d**4 + 28 + d - 5*d**3 + 23 - 44 to c*d**2 + s*d**3 + l + z*d + k*d**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -3 and -56.4.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 + 4. What is the fourth biggest value in 3, -0.3, n, 1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-1)*(4 - 3). Suppose -v*h - 150 = -h. What is the units digit of h\/(-3) + 14\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -26862 times 587\nAnswer: -15767994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 4*a = 3, -2*f + 3*a = -2 + 5. Solve 25 = -5*m, -f*m - 6 = 4*n + 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 59 in -0.3, 6, -2, -96, 5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is 970603454 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.04 + -0.04. Let v = -1.6525 - 12.3475. Which is the second smallest value? (a) 0.5 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1064205 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -492.11 + 27.31. Let f = j + 316. What is f rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the first derivative of 0*g + 5 + 1\/2*g**2 - 1\/3*g**3. Let u be t(0). Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127737 rounded to the nearest 1000?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 615 and 3.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.813 - -0.047. Let p = n - 1.85842. Round p to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 119187, 238275, 357363, 476451, 595539, 714627?\n\"Answer: 119088*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17065126007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 - 56*w**2 + 209*w - 58. Give p(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -29, -1, 0.5.\nAnswer: -29, -1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + -17390139?\nAnswer: -1739013a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1062 and 14101?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5435*n + 8 = 5433*n. Let y(p) = 6*p**2 + 4*p - 7. What is y(n)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2188352446 to the nearest integer?\nAnswer: 46780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 9. Let h be (-91)\/(-2*u\/(-16)). Suppose -66 + h = 4*b. Solve -4*a + 13 = 4*k + b, 0 = 5*k + 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 702*x**2 - 4914*x - 4. What is m(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/1150720 and -58\/35.\nAnswer: 8055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*b = -55*b + 114*b + 28. Sort -1, -31, 5, b, -4 in decreasing order.\nAnswer: 5, -1, -4, b, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 5*m - 2. Is l(5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-15)\/100 + (-390)\/(-975). Factor -t*a**3 - 1\/4*a + 0 - 1\/2*a**2.\nAnswer: -a*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(85) + -1*sqrt(85) + sqrt(85))*2)\/(sqrt(125)*1) + -3)**2*-1.\nAnswer: -293\/25 + 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -186 - -191. Let t be 0\/5 - h - -5. Let k = -1941\/7 + 278. Is k equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13728.72118 rounded to the nearest ten?\nAnswer: 13730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 13732 and -9 + (-9)\/(-1) + (72 - 66)?\nAnswer: 41196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.13288 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 103593495 and 805.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 6998.\nAnswer: 69980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -189*c + 95*c + 94*c - 2*c**2 + 8*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-399)\/14)\/19*(-145)\/(-10))\/(45\/(-12))?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*n**2 - 2*n**2 + 4*n**2 + (10*n - 2*n + 14*n)*(n + 0*n + n) to the form l*n + q*n**2 + c and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of -7*a**2 - 1\/6*a**3 - 7\/24*a**4 - 1\/60*a**5 + 0 + 0*a. Let s be q(-4). Calculate the highest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the second derivative of 1\/2*h**3 + 0*h**2 + 11\/12*h**4 + 0 + 11*h. Find the second derivative of w(q) wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1206 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5290?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 2296 = -7*i + 5*i, -5*h + 5*i + 3835 = 0. Let u = -505 + h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 272497 and 1373628?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11231, 22431, 33631, 44831, 56031?\nAnswer: 67231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3336715 and 37154?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Are 3.16 and -8701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*o = -8*o + 4*c + 16, 3*c + 9 = 0. Let w(l) be the second derivative of l**4\/2 - l**3\/2 - l**2 - 2*l. Calculate w(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -3*j**2 - 3*j - 2. What is k(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10.00064 - -10. Round f to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3884?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 716, 721, 714, 689, 640, 561, 446?\n\"Answer: -c**3 + 12*c + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 195296*k**2*p**2 - 12*k**2 + 626*k*p**2 - 2*k*p - 31*k - 2*p wrt k?\nAnswer: 390592*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 203*v - 212*v - 45. Let r = 6.12 + -6. Let s = r - -3.88. Sort s, -0.3, 1\/4, v in decreasing order.\nAnswer: s, 1\/4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 4, p: 6, x: 3, z: 2, i: 3}. What is prob of picking 1 w, 2 i, and 1 x?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -10845.267149 rounded to the nearest 10?\nAnswer: -10850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2 - (-3 - 1 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*n + n - 47, 3*z = 4*n + 126. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h + 3*h = 140. Let j be (6\/4)\/(36\/(-96)). Let i be ((-49)\/h)\/(5\/j - -1). Solve -5*b - i = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1006693 and 107095.\nAnswer: 5033465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 99510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -139712 by -86.\nAnswer: 69856\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*n - 16*n + 656 = 0. Solve y = 4*m + 4*y - n, 8 = 2*m + 4*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*t**4 + 4*t**4 + t**4)*(-285 - 2025 - 401).\nAnswer: 2711*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 34.3 (b) -2 (c) -1 (d) 8\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 + 6*h**2 - 4*h + 3. Determine k(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 59953689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(891) + sqrt(891) + -1))**2 + (-1*sqrt(891) + -4)**2.\nAnswer: -504*sqrt(11) + 57947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1)\/(g*(g**(-2\/9)*g)\/g*g))\/(g**(-1\/4)*g*g\/(g*g\/g**(-1\/3))*g))\/(g**(2\/13)*g*g**(1\/4)\/g*g)**(1\/49) assuming g is positive.\nAnswer: g**(-18478\/5733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - 6 - -5) + 14 + (4 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32617 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -2204850 equal to -2204852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 593208 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, 2, 0, 35 in ascending order.\nAnswer: -5, 0, 1, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.413 + 0.413. Which is the smallest value? (a) m (b) 0 (c) -2\/3 (d) -3 (e) -156\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83607449.53 rounded to the nearest 100000?\nAnswer: 83600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-3\/5)\/((d**(5\/4)*d)\/d*d))**(-2\/123) assuming d is positive.\nAnswer: d**(19\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -111921 or -111919?\nAnswer: -111921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 461510 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*w + 370 = -1574. Solve 0 = -x - b + 7, w = 3*x - b + 5*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, w: 2}. Give prob of sequence wwws.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/32 + (-4346)\/(-16) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/3 or -1.89504?\nAnswer: -1.89504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 + 9823*i + 1072560. Give g(-108).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 17 - 4 = 2*y, -23 = -3*d - 4*y. Is 263 - (-1 - d)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -5*w**3 - 5*w**2 - 7*w. Let y be -8 - (-6 - (-1 - 1)). Let l(s) = -2*s**3 - 2*s**2 - 3*s. Suppose 2*j - 27 = -j. Give j*l(f) + y*m(f).\nAnswer: 2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = 11*p - 12*p + 4, 3*p = 4*i + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172072*n - 344135*n - 137 + 172064*n.\nAnswer: n - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -797 + 806. Let x = -2 + 2. Let p be 2 - -8 - (x - -1). What is the greatest common factor of a and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 divided by 9\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2938.697 + -2954.7. Let j = 16 + r. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-95)\/(-38) - (-434)\/(-196)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 9*d + 32. Let k(w) = -4*w**2 + 3*w - 3. Let z(l) = 13*l**2 - 9*l + 8. Let j(f) = d*k(f) + 3*z(f). What is the second derivative of j(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-15 - 112\/(-6))\/(2\/786)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (4 + (-10 - (-10 + 4)) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13318769831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48 and 894864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 26020 (base 7) to base 16.\nAnswer: 1ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -4*j. Let q(n) = 4*n - 1. Let a(p) = -5. Let k(m) = -11. Let i(r) = -9*a(r) + 4*k(r). Let v(l) = -i(l) - q(l). Determine v(t(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 12:30 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52242500.\nAnswer: 2, 5, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1735 greater than 817798\/471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 313, 626, 939?\n\"Answer: 313*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -83 minus -381886?\nAnswer: 381803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -60 (base 15) in base 4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 58 = -4*y, 3*s - 5*y - 100 = -2*s. Calculate the remainder when 77 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25493 - 6*l**2 + 27*l + 5*l**6 - 25495 - 5*l**6 + 367*l**3 - 3*l**5 - l**6 wrt l.\nAnswer: -120*l**3 - 180*l**2 + 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.08 - 0.92. Let k = 0.4 + -0.9. Sort -3\/4, n, k in ascending order.\nAnswer: n, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.215395723 rounded to four decimal places?\nAnswer: 0.2154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2925 - 5725. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15.3 times -2.60476?\nAnswer: -39.852828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2587, 9, -4, 1, -5 in ascending order.\nAnswer: -2587, -5, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.2 - -0.7. Let f = 4 + -2. Let k = f - 1.6. Which is the biggest value? (a) k (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - (-3 + 0)) + 4 + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1 + (270\/(-60))\/((-6)\/4). Let j(h) = h**3 - 16*h + 3. Let u be j(-4). Solve -z*v + 11 = 2*v + g, -3*v + u*g = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + -2028?\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -31283, -31282, -31281, -31280, -31279, -31278?\n\"Answer: v - 31284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 5 - 10 - 3*i - 2. Let z = 8 + -21. Let p be (23 + z)*(-2)\/4. Give f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -2*i**2 + 44*i + 54. Let s be q(23). What is the second derivative of -2*m**4 + s*m - 7*m**4 - 5*m + 9*m wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 279767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6.15 - 6.14701. Round h to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((-165)\/10)*-2*2\/4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-13)\/((-39)\/54) + -6. Let l be f\/(-9)*-24*7\/14. What is the smallest value in 2, l, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Divide -1148488 by 3.\nAnswer: -1148488\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*(t*t*t*t**2*t)\/t*t)**4)**(-4\/3) assuming t is positive.\nAnswer: t**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 + -1. Let b = v + 1. Let k = -0.03 + -1.97. What is the nearest to 1 in -0.1, k, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 30 + -32.6. Let a = -2.1 - q. What is the biggest value in -1\/3, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -7170*g + 1192. List the prime factors of i(-5).\nAnswer: 2, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 5*n + 21 = 0, 4*s + 0*s - 4*n = 4. Let u be 2\/s*-2 + 2. Solve 2*d = 7 + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11120201 + 11?\nAnswer: 11120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.23 - 0.03. Let g = -0.3 + m. Let d = g - 1. Which is the second biggest value? (a) 3\/2 (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -778 - 39?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -339.5283343 rounded to two decimal places?\nAnswer: -339.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 3*x - 26, x + 4*y + 20 = 4*x. Let o(v) = 2*v**2 - 4*v - 13. Let q be o(6). Let b = q + -35. Solve -10 = -3*j + r + r, 5*j + r - x = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 - 16*u - 81. What is the tens digit of t(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192996000539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 6292001 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -15 + (-6 - -11) - (-1 + -19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 5*z - 42, -z = 2*f + 2*z + 26. Let t be (-180)\/(-46) - f\/184. Solve -6 = -t*x + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/2 < -6541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 5107a (base 13) to base 16.\nAnswer: 236cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*l + 10*l = 0. Let k(q) = 5*q + 7. Let p be k(l). What is the second derivative of 34*a - 3*a - 16*a**4 - p*a**4 wrt a?\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-1\/3)\/z*z)\/z)**(-31\/2))**(1\/6)\/((z*z*z**1)\/(z*z*((z**(2\/11)\/z)\/z)\/z*z)*((z*z\/(z\/(z*(z*z**2)\/z)))\/z)**33) assuming z is positive.\nAnswer: z**(-9739\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-43*d - 50*d - 35*d)*(-2 - 1 - 2) to the form n*d + p and give n.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1, 5, 0, -12\/11, 4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*q + 7*q = -72. What is the smallest common multiple of 40 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -2*n + 2. Let j(h) = h**2 + 2*h + 3. Let c be j(-3). Let y(o) = -19 + c + 11 + 2*o. Suppose 18 = -4*i + i. Calculate i*y(k) - 5*b(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 109538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.26 * 0.0248.\nAnswer: 0.006448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6277 + 6289. Let t(j) = -2*j**3 + 24*j**2 + 3*j - 20. What is t(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20850 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 5.271300713578 and 3.\nAnswer: 8.271300713578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 1351*g**2. Let j(i) be the first derivative of 7*i**3\/3 + 5274. What is j(w(k))?\nAnswer: 12776407*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*o - 376*o + 5365 + 344 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -159 - -135. List the prime factors of (-1251)\/(-4) - 6\/n - 2.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.94411 + 1.313?\nAnswer: 0.36889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/11 and -47\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.107274 + 164.41?\nAnswer: 164.302726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 98, 103, 108?\n\"Answer: 5*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 127959 is divided by 186?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 10*t**2 - 6*t + 13. Let j be v(-9). Calculate the remainder when 5 is divided by (-6)\/(-21) + (-24)\/j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i\/i**(-2\/11)*i*i)**(-4)*i**12*i*i**(-27) assuming i is positive.\nAnswer: i**(-382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 - 4*t**2 + 14*t - 14. Let h(a) = 2*a**3 + 4*a**2 - 15*a + 15. Let n(q) = 6*c(q) + 5*h(q). What is the units digit of n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, p: 5, h: 3, d: 4}. Give prob of picking 3 h and 1 z.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (9 + -8)*2*(-2)\/(-4). Which is greater: 5\/16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5343 + -3343. What is h rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5\/207 - -7300\/2277. Let k = 12880 + -128699\/10. Find the common denominator of k and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3 + (-51)\/(-6))\/((-2)\/(-4)). Let z be 6\/15 + (-1384)\/10. Let a be (-3 - 1)\/(3\/z). What is the greatest common divisor of a and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 6:05 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 703.0662um to nanometers.\nAnswer: 703066.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be 141\/21 + (-8)\/(-28). Suppose -f*q + 72 = -q. Let s be 8\/q*3\/(-6). Which is the third biggest value? (a) s (b) -2\/15 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 120 = 3*s - 809, 0 = 4*h - s - 1851. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s - 3*s = 15. Suppose 2*z + 4*w - 6 = 0, -s*z - 4*w = -8 - 1. Solve -u - 3*a + 14 = 0, 0 = -z*u - u + 3*a - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3724 - 14211 - 3*k - 6319.\nAnswer: -3*k - 16806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of 9*d**2 + 0*d + 11\/12*d**4 + 0 + 0*d**3. Let i(c) = -7*c. Let v = -152 + 162. Calculate v*i(h) + 3*g(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - r = -7, 6*h - h - 5*r = 10. Solve -h*b + 2*f - 4 = -6, 5*f - 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 162 - 129. Let b = -27 + z. What is the highest common factor of b and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 109 - (-33 - (58 + -107)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -2*f + 6*f + 6, -25 = 5*f. Let m = 10 - c. Suppose m*i = 2*r + 2212, 6 = 2*i - 2. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10.52, 0.42, 1.4 in decreasing order.\nAnswer: 10.52, 1.4, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.37 + -4.87. Let h = s + -0.5. Which is the third smallest value? (a) h (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5338*y - 5274*y = -1280 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 619282 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 4*b - 4 = -15, 5*k = 3*b + 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -1331611*w - 20*w**2 + 1331611*w. Let u(g) = -3*g. Let q(p) = -9*p. Let v(l) = -2*q(l) + 7*u(l). Calculate i(v(t)).\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -2. Let f(d) = -3 + 1 + 0 + 1. Let t(y) = -5*f(y) + 3*q(y). Let o(r) = r**2 + 4. Let x = 7 + -8. Determine x*o(m) - 4*t(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -6607025, -13214081, -19821137, -26428193, -33035249?\n\"Answer: -6607056*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292 = -2*q + 5*p, 0*p + 2*p - 759 = -5*q. What are the prime factors of q?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*k + 19 = -21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -673 divided by -4.\nAnswer: 673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(2\/(3\/(-102)*-17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 27179639 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -3*x - 3*w - 47, 0 = -5*w + 15. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -40 - -133. Let w be (124\/k)\/((-4)\/(-9)). Solve -2*y - 3*y - w*u = 6, 0 = -4*u + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 3, r: 4, j: 2, b: 2, s: 4, z: 3}. Give prob of picking 2 j and 1 z.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -167382 divided by 2\nAnswer: -83691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 13, 0.5, -1, 2\/9 in decreasing order.\nAnswer: 13, 0.5, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 - 16*u**2 - 19*u + 39. Let t be q(17). Let x(l) = 26*l**2 - 6*l - 9. Is x(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 722 - 1158. Let m = i - -904. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = 5*n + 70, w - 6*w + 55 = -3*n. Let i be 4\/n + 8\/20. Suppose -28 = -2*r - 2*x, 0 = -i*x - x + 5. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 389727.5 millilitres in litres?\nAnswer: 389.7275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 60 = -a. Let u be (15\/9)\/(1\/a). Solve -5 = 5*d - 2*j - u, 5*j + 20 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/3 - ((-122)\/6 + 0) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (426\/(-33) - -8) + (4 - -1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2*v - 1)*(2 - 26 - 13)*(5 + 1 - 3) + (4*v + 0*v - 2*v)*(2 - 4 - 1).\nAnswer: 216*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 967009.5 months?\nAnswer: 8058.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c - 3. Let r be g(-6). Suppose -r - 5 = -y. Calculate the common denominator of (-2 + y)\/(9\/22) and 73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 3*q + 5 = 5*s, 4*s - 1 = 3*q. Let b = 1 - s. Let d(p) = p**2 + 5*p - 10. Let o be d(-7). Is o equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 3996 = 4*p, 3*p - j = 1812 + 1175. What are the prime factors of p?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 10601\nAnswer: -2\/10601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -12 + 9. Let j be (1 - 363\/126)\/((-1)\/v). Let c = 785\/154 + j. Calculate the common denominator of c and -61\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:07 AM and 2:44 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of 0*y**4 - 23\/60*y**5 + 0*y + 7\/3*y**3 + 0 - 40*y**2. What is the derivative of w(b) wrt b?\nAnswer: -46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*c = -6*c + 63. Suppose -3*m + 2*m = -383. Suppose -5*o + 0*i = i - 650, c*o + 2*i - m = 0. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8968 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/88400 and -29\/1560.\nAnswer: 265200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -1b37dd9?\nAnswer: 1b37ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 + b**2 + b + 2. Let n be w(2). Let o = -4 + 5. Let c be -19*(0 - (o + n)). Calculate the highest common factor of c and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00028119 to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 13, 0.3, 4, 1\/10, 9\/22, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1425841.9 to the nearest one thousand.\nAnswer: -1426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3502 - 3498. Sort 0.2, 1, -0.6, i, -34 in descending order.\nAnswer: i, 1, 0.2, -0.6, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:26 PM and 4:51 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2 - 5 + 5)*(2 + 2 - 5) - 2 + 6 - 5)*(2 - 2 + x)*(13 - 24 - 13) in the form t*x + n and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 218*t - 79*t - 5347 - 140*t to the form g + q*t and give g.\nAnswer: -5347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(1*4\/60*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 - 3*u**2 + 6*u - 7. Let k be x(-5). Suppose -k = -2*z - 5. Is z\/(-10) + (-104)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -531 smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -3*z + 1. Let c be 6\/3 - (-6)\/(-2). Let n = -5 - -5. Let q = n + c. Give t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 5*k**3 + 22*k**2 + 9*k + 7. Let j(q) = 9*q**3 + 43*q**2 + 18*q + 14. Let f(p) = 4*j(p) - 7*t(p). What is the units digit of f(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 107*j + 55 = 108*j, 0 = 4*l - 8*j + 5*j + 53 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 524845386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 165778690 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = -41*a + 42*a - 12, 3*n + a - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h**2 - 3*h**2 - 5*h**3 - 149*h**4 - 4*h**3 + 146*h**4 + 3*h**5 + 6*h = 0. What is h?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xnnc. Give prob of picking 1 c and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 186*i + 1343*i = 3193*i + 158080 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 384 and 2000256?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is cb5 - -24d?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is y in y**2 - 580*y - 17024 = 0?\nAnswer: -28, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 3*k - k, -2*f - 3 = -5*k. Suppose 2*r = -r + f. Let l = 4.88 + 0.12. Which is the closest to r? (a) l (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4095131129.\nAnswer: 127, 32245127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00057256246 rounded to seven decimal places?\nAnswer: 0.0005726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 96164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -441*k - 7. Let n(f) = 221*f + 4. Let h(c) = -4*g(c) - 7*n(c). Let t(s) = s - 4. Let o be t(5). Is h(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -72521 + 72526. Let n be (-2)\/(-2) - 1\/(-3). What is the biggest value in y, n, 0.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p, 1 f, and 1 c when four letters picked without replacement from uupfufcufcpgufuu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 11 + 4612*s + 8 - 4614*s in the form d*s + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*y + 5*j = -76, 30*y - 3*j + 2*j - 16 = 27*y + 11*y + 2*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 + 2681.\nAnswer: 2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1584 and 913.\nAnswer: 131472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1087 - -1087.2. What is the closest to -12 in -3, -2\/5, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/3, -1\/4, 206, -0.01, 397, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*f - 54 = 4*f. Let s be (-2)\/3*21\/(-2). Is f at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g + 15 - 15 = 0. List the prime factors of g + (-1 - -441) - 4.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 289, 867, 1843, 3217?\n\"Answer: 199*d**2 - 19*d + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-202 - 0\/3)*1. Let c = 148 - s. Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3208\/33243 + 2\/1583. Which is the smallest value? (a) g (b) 5 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of -1 - 19*v - 75*v**2 - 5\/2*v**3 - 33\/20*v**5 + 33\/4*v**4 + 1\/10*v**6. Factor i(g).\nAnswer: 3*(g - 5)**2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -16, -36, -70, -118, -180?\n\"Answer: -7*x**2 + x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 14) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1067.1 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 3) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 1 = -2*p, 4*p + 2*o - 7 = p. Differentiate 0 - p - 4*t + 0*t with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -90 - -106. Solve 3*w - g = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 5*a + 6. Let m be w(0). Let l(s) be the first derivative of 0*s + 0*s**3 + s**4 + m + 3\/2*s**2. Find the second derivative of l(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 643285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tk when two letters picked without replacement from tqvsxkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1 - 0 - (91\/49 + -2) and (-12)\/(-16) + (-187)\/20.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m + 4. Let a be y(2). Suppose -u = 4*o + a*u - 13, 0 = -o - 3*u + 1. Suppose 0 = -d + o + 2. Solve -3*k + 1 = -5*n - d, -5*k + 22 = 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 48*v = 53*v + 411, 5*f - 2*v - 2124 = 0. What are the prime factors of f?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.21799691 + -1.218. Round h to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.13 (c) -5\/6 (d) -0.1 (e) -1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 5*k = -7*h, h = -2*k + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/3)\/(2\/(-21)). Suppose 9 = 2*f - 1. Suppose -5*v - f*i - 10 = -0*v, 0 = 4*i + 16. Solve 3*p - 4*a - 16 = 0, a + 0*a - k = -v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 - 1. Let z be t(2). Let p be 3\/(-7) + (-48)\/(-14). Sort 5, p, -1, z in decreasing order.\nAnswer: 5, p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2.17 in 671571, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - -10)*6\/8. Suppose 0 = s, 0 = 2*h + s - 5*s - k. Find the second derivative of -h*b**4 + b + 4*b**4 + b wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -6, 4, -310767 in decreasing order.\nAnswer: 4, -2, -6, -310767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 5228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do -1393\/86 and -17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 2*u**2 - 280*u + 4212. Calculate the remainder when 2993 is divided by p(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 - 0 - (2 + -14 + 6 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -45723*h**5 + 21215*h**2?\nAnswer: -2743380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 377 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in -225, 2, -4, -78?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/5 + 1179635\/(-150). Let g(v) = 160*v**2 - 2*v + 27. Let s be g(-7). Let w = k + s. Calculate the common denominator of -19\/9 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 175563 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:00 PM and 6:20 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1\/4, 2\/55 in descending order.\nAnswer: 2\/55, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -2*s + 2*f + 18, 4*s + f = 0. Is s + (-3)\/(2 - 1) - -1969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29610 divided by -282?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 - 22*x + 38. What is m(23)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vopvpovgvo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by 189654\nAnswer: 8\/94827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30 + 42. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -15*d - 60. Let y be p(-6). Calculate the greatest common factor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -246771 - -247923.79. Let o = 1148 - q. Let l = o + -0.21. Put 2\/11, -4, l in descending order.\nAnswer: 2\/11, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7031 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-248)\/186*(-9)\/16. Factor 3\/4*d**4 + 1\/4*d**5 - 1\/2*d**2 - 1\/4 + 1\/2*d**3 - o*d.\nAnswer: (d - 1)*(d + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*z**2\/9 - 10820*z\/9 + 21632\/9 = 0. Calculate z.\nAnswer: 2, 5408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 46\/17, -3\/5, 3, 1.272?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 4 = p. Let u be (3 - 2)*3 + p. Suppose -762 = u*w - 11*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -24*v - 243. Determine r(-13).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/44 (b) -1 (c) 328\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -125031415, -125031418, -125031421, -125031424, -125031427?\nAnswer: -125031430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -30070477 (base 8) to base 12.\nAnswer: -21497bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -96 - -160. Suppose 3*s - 7*s + u = 0. Calculate the remainder when 31 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 660989 at least as big as 660986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -4.6. Let k = 7889 - 7893. Sort k, 4, 3\/8, j.\nAnswer: k, 3\/8, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = -4*d + 2086, -62*d = y - 58*d - 414. Calculate the least common multiple of y and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, -21, -2 in ascending order.\nAnswer: -21, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -215762370*p**2 + 466816265*p wrt p.\nAnswer: -431524740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 + 6*v - 1. Let r = -716 - -710. Let s(y) = -2*y**2 - 11*y + 2. Calculate r*s(o) - 11*p(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 8 * 0.98741.\nAnswer: 7.89928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 11959 - 108109\/9. Is j less than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 8 = -13. Calculate the remainder when 11 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9\/5 - -109\/55. Let p = 13 - 8. Which is the nearest to -1\/2? (a) j (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 446\/411 - 10742872\/9900579. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -2\/59, -6, 52, -16, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1936)*4 + sqrt(1936) + sqrt(1936) - sqrt(1936))\/(-3*(sqrt(392)*1 + sqrt(392))).\nAnswer: 11*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 210\/14 + -11 + (69 + -2)\/1. Solve -n = -17*u + 31 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-12)*-12*(-10)\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 PM and 10:52 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in twenty-eight thirds of a day?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 39*k**4 + 314*k**3 + 65222 wrt k.\nAnswer: 156*k**3 + 942*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -220022021022 (base 3) in base 14?\nAnswer: -c64cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -44 (base 5) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*d + 2*w = 18, d - 11*w - 14*w - 11 = -28*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (23 + -20)*(-38)\/399. What is the biggest value in t, -1, -41\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 4*p - 41 + 49 = 0, -2*p = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -3305324 (base 6) to base 9.\nAnswer: -270577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 134*t - 40 wrt t?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c\/c**(-1))\/c))**(-2\/9)\/(c**(-5\/3)\/(c*c**(-5))))\/((c**(-1)*c**7)\/((c*c\/c**(-1\/10)*c*c)\/c**(1\/8))) assuming c is positive.\nAnswer: c**(-523\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -6.425612563 to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-6*1\/((-6)\/(-2)))\/(-19)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 60 - 84. Which is smaller: c or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 5. Let o = 3.5 - n. Let g = 33289.3 - 33289. What is the third biggest value in -1\/5, g, -0.1, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b\/b**(-2\/3)*b\/(b\/((((b*b*b**5*b)\/b)\/b)\/b)))**(-50) assuming b is positive.\nAnswer: b**(-1150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/(-20))\/((22\/10)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10 + -1?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that b**5\/5 + 28193*b**4\/5 - 4*b**3\/5 - 112772*b**2\/5 = 0.\nAnswer: -28193, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4927 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (29 + 13 + -46 - (3 - 2)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 7*r - 12*r - 8 + 9*r. Let j(z) = 1. Suppose -b - 19 = -20. Let o be (b - -1)\/((-25)\/(-100)). Calculate o*j(q) + c(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14952570 to the nearest integer?\nAnswer: 3867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 6, d: 7, m: 1, x: 2, q: 3}. What is prob of sequence mxd?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -33*b**2 + 74*b**2 - 4*b**3 - b - 41*b**2 to v*b + m*b**3 + q*b**2 + t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1461427.\nAnswer: 11, 132857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 - 15*b + 15. Let l be 2\/(-3) + (-215)\/15. Does 15 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4647935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/1)\/(8\/351992). Suppose -2*f - 3*d = -0*d + 66009, -4*f + d - j = 0. What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - 0*u - 4*x + 568, 0 = -3*u + x - 416. Let y = u + 206. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 46 - 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + -75?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 - 18. Let m(f) = f**3 - f + 1. Let p be m(0). Let c = 4 + p. Calculate the remainder when c is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-40)\/36)\/(-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than 16\/16191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -7186 - 37574 = 152*t - 29*t + 250*t for t.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1002994557\/689128 - -7\/62648. Let n = b + 286541\/198. Find the common denominator of n and -1\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 10*r**3 + 59972*r**2 - 288064*r + 192064 = 0. Calculate r.\nAnswer: -6002, 4\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2256506327 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, e: 1, q: 1, n: 5, c: 3, w: 1}. What is prob of picking 2 n?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -425698.8\nAnswer: 42569.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f + 13. Let w be g(-7). Let r be -2 - 2\/(756\/(-718)). Let o = -5\/27 + r. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -3*s + 66. Let x be (-1 - s\/(-9))*3. What is the greatest common divisor of x and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6\/7? (a) 6281.8 (b) -2\/15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35.5 + 0.5. Let g = 35.5 - b. Let a = -5 + 3. Put a, g, 0.3 in increasing order.\nAnswer: a, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2161*l**4 + 160 - 174 + 12 - 2*l**2 - 2*l as q*l**3 + c*l**2 + p*l**4 + t*l + n and give p.\nAnswer: 2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*n**2 + n**4 + 3*n**2 + (n**3 + 0*n**3 + n**3)*(0*n - 4*n + 6*n + (1 - 1 + 1)*(2*n + 0 + 0) + 6*n + 0*n + 0*n).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 14*d**2 + 2*d - 2. What is t(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00012246 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 37 = -0*o + o, -2*o = 5*c + 54. Let r = o + 18. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, r: 1, s: 1, i: 1, p: 1, v: 2}. Give prob of picking 1 v and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4\/11, -0.09, -25?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49355?\nAnswer: 5, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 - 7*x + 26. Let l be o(3). Let v(s) = l + 1119*s - 562*s - 558*s. What is v(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.009391993 to 4 decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 8592 = 2*a, -5*a = 2*j - 0*j - 4320. Round j to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 591 = 5*o, 0 = -5*o + 6*z - 5*z + 579. Let i = o - -46. List the prime factors of i.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6.2 - 6.3. What is the smallest value in -0.3, -1\/6, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 53 + 8. Let v = -66.6 + o. Let g = -7.8 + v. Round g to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -4*j - 2. Let u(v) = -11*v - 5. Let y(r) = -7*t(r) + 2*u(r). Let w = 128 - 124. Let n be (-1 + 3)\/(((-32)\/12)\/w). Give y(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-20)*(-70)\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.413? (a) 2\/7 (b) 182 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4*20255*(-1)\/(-20)?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0\/(-1))\/(245\/(-49)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 + z - 6. Let r be k(0). What are the prime factors of (-2)\/(22\/r - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 - 19. Let c be 1\/(4*1\/24). Let x(z) = -2 - 7 + 3*z - c*z + 4*z. Give x(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**4 - 390*v**3 - 2013*v**2 - 1620*v.\nAnswer: 3*v*(v - 135)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 61a840 (base 12) in base 3?\nAnswer: 2212211210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -7a5a (base 15) to base 8.\nAnswer: -62550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -11*k**3 - 30*k**2 + 13*k + 67. Determine g(-6).\nAnswer: 1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(133) + 3*sqrt(133))*3 + (sqrt(133) + sqrt(133)*1)*-3)\/((-4*sqrt(504) - sqrt(56))\/(sqrt(392) - -2*sqrt(392) - sqrt(392) - sqrt(392))).\nAnswer: -42*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5535 + -16?\nAnswer: -5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 269529560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q - 2. Let m be b(5). Suppose -l = 3*l + m*v - 1105, 1103 = 4*l + 5*v. Does 31 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/15714 and 13\/1164.\nAnswer: 31428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h + h + 14541*h**2 - 14762*h**2)*(3 - 3 - 1) to i*h**2 + l*h + d and give i.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -21 - ((34 - -15 - 131) + -3 + -5).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 47807159, 47807160, 47807161, 47807162, 47807163, 47807164?\n\"Answer: l + 47807158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4857 + -4857. Sort -6, 0.4, u, -0.11 in ascending order.\nAnswer: -6, -0.11, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.065601 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/6 - 3122\/(-21). Let w = m - 82. Suppose -w + 265 = 3*k. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 54\/60*744\/3348.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*(-6)\/24*-1*(-400)\/24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*i + 15 - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20970 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6618914 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2914092597 - 2050233401. Let h = d - 863859261.00000134. Let t = h + 65. Round t to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/(-4)*(-28)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, k: 2, j: 3, q: 4, h: 1}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -34\/7 (c) 2.5 (d) -7 (e) -5 (f) 0 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/126*371\/(-265)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence has when three letters picked without replacement from {h: 6, n: 1, p: 2, a: 2, e: 1, s: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-10) + 16\/(-60). Which is the biggest value? (a) 3\/7 (b) n (c) -12 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 767396 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*c + 5*c + 50. Let i(y) = 2*y + 27 - c - 3*y. Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -34.3169 rounded to one decimal place?\nAnswer: -34.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.4 + -0.9. Let j = -1737 - -1736.9. Which is the third biggest value? (a) j (b) p (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 297978 - 297846.699. Let c = a + -0.301. Let t = 131.000073 - c. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = k + 4*k. Let a(z) be the second derivative of -z**4\/12 - 4*z**3\/3 - 5*z**2\/2 - 3*z. Calculate the least common multiple of a(-7) and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(1\/4)*y*y*y**0\/y)\/(y\/y**(2\/7)*y*y*y\/(y**(2\/31)\/y)*y))**(6\/13) assuming y is positive.\nAnswer: y**(-11457\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 3*t = -59, -5*j + 67 = 2*t + t. Let z be (((-160)\/(-6))\/8)\/((-2)\/(-6)). Solve -6*a - j = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*i - 3*i**2 + i + 1692*i**3 + 6*i**2 + 31*i**2 - 1696*i**3 to the form z + v*i + q*i**2 + w*i**3 and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -444097 by 101.\nAnswer: -4397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -o**4 + 1054*o**3 + 1159*o**2.\nAnswer: -24*o + 6324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*h + 4*h = 0. Let a(z) = 64*z**2 + 2*z + 1. Let j be a(2). Suppose -3*c + 12*c - j = h. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59813, -119627, -179441, -239255, -299069?\nAnswer: -358883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 979 and 2421067?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 5, j: 3, d: 7, s: 4}. What is prob of picking 2 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1250 and 1280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 239 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10216 and 242.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 530419448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mp when two letters picked without replacement from pmmpmmppmpppp?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 312 - 295. Let x(g) = -g**3 + 18*g**2 - 18*g + 9. Determine x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 9014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 97*c**2 + 256*c - 290. Does 42 divide y(-101)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j = 2*k - 59743, 4*k + 5*j - 119381 = 6*j. List the prime factors of k.\nAnswer: 3, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -11*s + 0*s + 0*s - 7*s. Let i(f) = -8*f. Calculate the least common multiple of m(-1) and i(-2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-32))\/(260\/(-26))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of -7*m**7\/2 - 56*m**6\/5 + 45*m**5 - 36*m**4 + 189*m. Factor b(z).\nAnswer: -3*z**2*(z + 4)*(7*z - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwwwgsygweyg. Give prob of sequence ws.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -3.7603 times 29.21\nAnswer: -109.838363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-1*(2 + 6*(sqrt(1539) + 3 + -2*sqrt(1539)))*3 + 4)**2.\nAnswer: -305856*sqrt(19) + 8033872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - k = -53 - 5550, 0 = c + 4*k - 1412. Is c a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.017548 and -110.\nAnswer: -1.93028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11 - 18) + 2 + 0 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 44020*j**2 + 372. Let v(a) = -591*a**2 - 5. Calculate 5*d(c) + 372*v(c).\nAnswer: 248*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 - 4*b**2 - 4*b + 5. Let s be f(5). Let w be (12\/30)\/(2\/s). What is the derivative of -2*j**2 + 0*j**2 + 1 - w*j**2 - 3 wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5 + 847\/(-165))*-3. Suppose m*d**2 - 4\/5*d + 2\/5 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of 7217299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p**2 + 2*p**2 + 6*p**2)*(-43 + 128 - 61) + (2 + 1 - 1)*(-p - 2*p + 6*p)*(-4*p - 5*p + p).\nAnswer: 216*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1921276 - 516189. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*n**(-9\/2))\/n)\/n*n*n**23 assuming n is positive.\nAnswer: n**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18 + (-13 - 5) + 9 + -2 - -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1296 and 66.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13, -5, 9, 29, 55, 87?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5.5 times 25?\nAnswer: -137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -9. Let d = q - -61. Suppose -25 = 3*o - 82. Calculate the remainder when d is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 33*l - 123. Solve -l*n + 22*g = 19*g - 6, -5*g = 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 PM and 5:10 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 520 is divided by 274?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - i - q = 17, 3*i - 59 = -5*q. Suppose w - 18 = 2*k, 0*k + 2*k - 5*w + i = 0. Which is bigger: k or -11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -133787*y**2. Let c(w) = 131*w + 1. Calculate c(a(m)).\nAnswer: -17526097*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 3. Suppose 5*t + d - 27 = 0. What is the third derivative of -5*v**t + 10*v**2 - 9*v**2 - v + v wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 21957697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 - 7*o + 8. Let r be h(6). Suppose r*s - s - 16 = 0. Suppose -3*i = -5*a - s - 16, 2*a - 4 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2043528 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of -m**5\/20 - m**4\/6 + 3*m**2\/2 + 11*m. Let v be x(-4). Let c(z) = -z + 22 - v + 3*z. Give c(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.0728306 nanometers?\nAnswer: 0.00000000728306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.02, 1372, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -8*o - 2. Let h(g) = 3*g**2 - 32979*g. Give s(h(u)).\nAnswer: -24*u**2 + 263832*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 2*c = -3*g + 62, g = -2*c + 18. What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37 + 3 - 427*m**2 + 5 - 189*m**2 - m.\nAnswer: -616*m**2 - m - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*p + 30 = 0, -3*l + 0 = -5*p + 16. Suppose -o - 3*x + 161 = -6*x, 4*o = -l*x + 584. List the prime factors of o.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*b**(-4\/11)\/b*b*b*b**(-26)*b)\/(((b*b**(2\/57))\/b*b*b)\/b**18) assuming b is positive.\nAnswer: b**(-4012\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 71054940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in -3, -53, 0.4, 1\/6, -65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-34*49\/3332)\/(87\/6)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 2) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12256, -12333, -12410?\nAnswer: -12487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 11, j: 1}. Give prob of sequence wj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -4 + 2*q**2 - 5*q + 1\/3*q**3. Determine w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -158146.5 rounded to the nearest one thousand?\nAnswer: -158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-2\/9))**19)**(5\/6) assuming s is positive.\nAnswer: s**(-95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 + 12. Suppose 0*z - k = -3*z. Suppose z*j - j = 6. Solve j*a = -2 + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -74, -62, -44, -20, 10, 46?\n\"Answer: 3*n**2 + 3*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(-6) - (-2)\/(-6). Suppose 248*g + 7 = 245*g + 1. Let o = 0.09 - -0.01. What is the nearest to o in a, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g - 5*g**2 + 3*g)*(4*g**2 + 143*g - 143*g)*((1 - 1 - 1)*(1 - 1 - g) + 5*g - 2*g - 2*g).\nAnswer: -40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**2 - 26*z. Let t(u) = -56*u. Determine o(t(r)).\nAnswer: -6272*r**2 + 1456*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2\/7 + 27789*d\/7 + 55590\/7.\nAnswer: -3*(d - 9265)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.031569 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the second derivative of -l**5\/4 + 265*l**4\/6 - 14045*l**3\/6 - 2*l + 36. Factor j(f).\nAnswer: -5*f*(f - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -2*k. Let w(f) = 5*f**2 + f**2 - 3*f**2 + 4*f**2. What is m(w(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k. Let i be 1\/3 - (-4)\/6. What is the units digit of g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/(-3) + (-2)\/(-24). Let u be 5\/2*234\/260. Solve -s*k + 0 + 9\/4*k**2 - u*k**3 + 3\/4*k**4 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*g**2 + 6*g + 9*g - 2*g**2 + 0*g.\nAnswer: 9*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 277 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/8, -2139, 4 in increasing order.\nAnswer: -2139, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*o + 2*o - 27*o - o + 0*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14909 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -4.557906981 to four decimal places.\nAnswer: -4.5579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**5\/7 + 582*a**4\/7 + 34404*a**3\/7 - 1161416*a**2\/7 + 6753552*a\/7 - 10784448\/7 = 0. What is a?\nAnswer: -158, 3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4460 from 52910.\nAnswer: 57370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -2350.\nAnswer: 3\/2350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 23.69 * -0.1.\nAnswer: -2.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5760, -5758, -5756, -5754?\nAnswer: -5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 801.6963 months?\nAnswer: 0.066808025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 - q**2 - 5. Let g be p(0). Let i be 5 + (g + 2 - 0). Let k be ((-560)\/(-21))\/(i\/75000). What is k rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50.902 - -51. Round g to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 343865 - 10.283?\nAnswer: 343854.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 440 divide 11878363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -84*h**3 + 13616*h**2 - 552420*h + 52488 = 0. What is h?\nAnswer: 2\/21, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, p: 1, n: 1}. What is prob of picking 1 n and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, 3, -467.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7656529 to 3 decimal places.\nAnswer: -0.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 29*u + 3. Let p be f(1). Suppose p*x - 39*x = -56. Suppose 0 = x*n + 204 - 820. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8195813 is divided by 253.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*k + 2*k + k)*(-1 - 4 + 4) - 3*k - 1787 + 946 + 925 in the form g + s*k and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 5965, 24019, 54073, 96127?\n\"Answer: 6000*w**2 + 54*w - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4236*o - 201710 = 4231*o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -477 + 4441911019.2.\nAnswer: 4441910542.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.3 + -9.7. Let d = 14.0052 + f. Round d to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1942062*j*q - 3709382*j wrt q.\nAnswer: 1942062*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*p = -2*g - 254, -532*p - 4*g = -534*p - 24 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5268 - 5268 + 14*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -4, 7.9, -9, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -2*a + 2. Let p be w(4). Let u be 4 + p - (0 - -1 - 11). What is the common denominator of 333\/48*u\/(-12) and 117\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 - z**2 + 7*z + 4*z**2 + 6 + 6*z**2 - 4*z**2. Calculate the remainder when 35 is divided by b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2777 is divided by 104?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, 0, -25 in descending order.\nAnswer: 0, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 81 = -4*f + 5*r, 0 = -3*f - 16*r - 4207142 + 4207180 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(2448) + -2*sqrt(2448) + -1 + (1 + sqrt(2448))*1 + ((-1 + (sqrt(2448) - 1*sqrt(2448) - sqrt(2448)))*2)**2)*-4 + 2.\nAnswer: -39182 - 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - 55500?\nAnswer: -554b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 52747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 36344, 36339, 36332, 36323, 36312?\n\"Answer: -c**2 - 2*c + 36347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 68\/5 - 738\/55. Let p = -0.2 + -0.8. Let q be (13 - 12)\/(-2 - (4 + -1)). Which is the second biggest value? (a) q (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 + 3*l**2 + 4*l + 6. Let a be n(-3). Let p be ((-3)\/a)\/((-4)\/(-144)). Suppose -3*z + 4*k = -p, -z + 5*k - 6 = -2*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 28101000 to the nearest one hundred thousand.\nAnswer: 28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 170 = -f. Let l = f - 19. What is the greatest common factor of l and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-3\/11)\/n**(4\/11))**(-1\/17))**(-3\/28) assuming n is positive.\nAnswer: n**(-3\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 31297 = 1590*p - 16751 - 65777 - 2245 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 5:25 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/4))**(-38))**(2\/15) assuming v is positive.\nAnswer: v**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*x - 66*x = 374*x - 15400 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2267.01 and -4.\nAnswer: 9068.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/1 + -1*1. Let k = -36\/125 + 61\/125. Factor 1\/5*c**h - k + 2\/5*c + 0*c**2 - 2\/5*c**3.\nAnswer: (c - 1)**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 40426 (base 8) to base 14\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 264 - 812. What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-18))\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3696 and 2688?\nAnswer: 29568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 2196 + 1944 = -6*b. What is the nearest to -1 in 0, 2, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2880?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, s: 2, f: 1, p: 1, c: 1, k: 1}. Give prob of picking 1 p, 1 s, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jvjowjjev. What is prob of picking 1 o and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/5 (c) -0.5 (d) -29 (e) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 6 = -2*h. Which is the fourth biggest value? (a) -1\/6 (b) -4 (c) -0.5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (756 - 2*d**2 - 17*d**4 - 756)*(3 - 3 - 1).\nAnswer: 17*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w - 5. Let r(q) = -473*q**2 - 1. What is b(r(s))?\nAnswer: 946*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 1 + 2)*(0 + s + 0) - 3*s + 2*s + 3*s - 1 + 3 - 15*s + 12*s as w*s + g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 0.04 (c) -0.086 (d) -1 (e) -6470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.125 - 0.125. Which is the third smallest value? (a) -1 (b) -4 (c) k (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 280529110 + 280529104 - 21*p**2 + 22*p**2 - 561058214.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 4)*(283*k**2 - 22*k**2 - 126*k**2) + 0*k**2 - k**2 + 3*k**2.\nAnswer: 812*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of -455*d**3 - 2498*d + 1194. Differentiate b(g) wrt g.\nAnswer: -2730*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 9) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*p + 65669*p**3 - 32832*p**3 - 32841*p**3 - 3*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3 (b) -616392 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -2039, 13, 0, -3, 5, 18 in descending order.\nAnswer: 18, 13, 5, 0, -3, -2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 1)*(-8657 + 78*t**3 + 8657) + 2*t**2 - 3*t**3 - 2*t**2.\nAnswer: 153*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 435876891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 8a03 (base 16) to base 5\nAnswer: 2112311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 134924336 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5973 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lgtlgttvvt. Give prob of picking 2 g and 1 l.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 239, 343, 455, 575?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of a*m*o**3 + 16*a*m*o**2 + 11*a - 4*o**3 wrt m?\nAnswer: a*o**3 + 16*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 6*w. Let l(s) = -47*s - 22. Let i(b) = -12*b - 6. Let y(k) = -22*i(k) + 6*l(k). What is -7*p(f) - 2*y(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/3 or 0.481?\nAnswer: 0.481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -5*v. Suppose 0 = m - 19 + 7. Let o = 10 - m. Let z be 1*4*o\/(-8). What is g(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -986*h - 3 + 1 - 63*h + 6.\nAnswer: -1049*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**4 - f**4 + f**4)*(-234 + 230 - 958) - 5*f**3 + 5*f**3 - f**4 - 4*f + 4*f + f**4.\nAnswer: -962*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-5)*h)\/h)\/h*h)**(-35)\/(h**(-10)\/(((h\/h**(2\/3))\/h)\/h)) assuming h is positive.\nAnswer: h**(445\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 5*i + 42986, 162*i + 85942 = 4*l + 157*i. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4178 = 16*q - 4082 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -156.2 or -9204?\nAnswer: -156.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4, 11, 50, 125, 248, 431, 686?\n\"Answer: 2*t**3 + t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5893.\nAnswer: 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/((r\/(r\/r**(4\/5)))\/r)))\/r)\/(r*r*(r*(r*r*r**29*r)\/r)\/r)*(r**10\/r)**(31\/2) assuming r is positive.\nAnswer: r**(1053\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0 from -47429.\nAnswer: -47429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -9 and -1387837?\nAnswer: 12490533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 89436 and 4233304?\nAnswer: 12699912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2644, -2644, -2646, -2650?\n\"Answer: -l**2 + 3*l - 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (91\/7)\/(0 + (-2)\/(-2)). Suppose -10*w - 27 = -r*w. What is the remainder when 97 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of -3\/80*m**5 - 4*m**2 - 1\/8*m**3 + 5\/48*m**4 + 0 + 1\/240*m**6 + 0*m. Determine k, given that p(k) = 0.\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1283227683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -490951*r**3 + 245543*r**3 + 245406*r**3 + 2*r**2.\nAnswer: -2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -50? (a) -383 (b) 1\/2 (c) -5 (d) -1.9 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 176322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -21196865.82 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f + 5. Let v be j(-5). Let x(l) = -v*l + 0 + 5*l**2 + 7*l - 1. Let s be x(3). What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 979 is divided by 118.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -61 + 65. Suppose f*x + 3 = 5*x. Solve 4*j + j - 18 = -4*n, 0 = -x*j + 3*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/6*(3465\/22)\/(-35))\/(6\/(-16))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 393*i**3 - 2*i**2 - 2*i - 1. Suppose -2*m = 5*o - 0*o + 12, -4*o = -4*m + 4. Let u be h(m). Let z = -196 - u. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 s, and 1 t when three letters picked without replacement from {t: 1, u: 3, n: 1, r: 1, s: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42*c + 78*c**3 - 71 + 0 + 30 + 15.\nAnswer: 78*c**3 - 42*c - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12382 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/3692 and 95\/1248.\nAnswer: 88608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*2*((-1*sqrt(190)*-4)\/(sqrt(10) + 4*(sqrt(10) - sqrt(10)*2)) - (-2 + sqrt(171)*1)*3).\nAnswer: -12 + 62*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 7 + 23. Suppose -h + 2*h = k. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 46\/55 + -239\/220. Which is the closest to i? (a) 1 (b) 0 (c) -5 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 3127751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**2 - 4*r + 7. Let h(k) = k - 7. Let n be h(9). Suppose -7 = w + t, 3*t = w - n*t + 1. Determine j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * 270811\nAnswer: -1354055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 17. Let c be ((-6)\/t)\/((-3)\/(-18)). Let w be c\/(-14)*28\/(-7). What is the third smallest value in w, -3\/5, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 - 11*q**2 + 11. Let r be h(11). Let i = r + -12. Suppose -3*f = -4*f. Put f, i, -3 in decreasing order.\nAnswer: f, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 361646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*5*(1 + sqrt(125)) - 3*(5 + -1*sqrt(125)).\nAnswer: 15 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011 - 1010001001?\nAnswer: -1010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - -9. Suppose -l - 5 = 5*j. Let x(t) = -t**2 - 7*t. What is the units digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 37040 (base 12) to base 4\nAnswer: 102021300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2301 - 2296. Let i = -10 - -40. Calculate the lowest common multiple of i and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 3\/7, 256, 0.3, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*b + 0*b - b)*(1 - 2 + 0) + 23*b + 97 - 213 + 29 + 22*b as s + i*b and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 3168*n - 5196. Is 20 a factor of a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5454945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (186\/(-8))\/((-3771)\/143298*19\/2).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9120 = 3*p - 5*v, 0 = -2*p + 8*v - 4*v + 6082. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0 and -3052614.\nAnswer: -3052614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 11*s**3 + 13*s**2 + 24*s - 9. Let y(t) = 31*t**3 + 38*t**2 + 71*t - 27. Let n(r) = 17*a(r) - 6*y(r). Determine n(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*o - 2828 - 26*o + 2828 - 17*o + 70*o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 884 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 50304 divided by -8384?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1\/1)\/(2 + -1). Let j(c) = -h + 4*c - 5*c + 2*c. Let z(v) = -7*v + 5. Let p(q) = 21*q - 14. Let n(d) = 2*p(d) + 7*z(d). Give -6*j(u) - n(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 166 divide 533623932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -58, -97, -136, -175, -214, -253?\n\"Answer: -39*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.1 + -0.9. Let b = -0.34 - 0.06. What is the nearest to -1 in b, d, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*-4*(4 + sqrt(15)\/sqrt(5)).\nAnswer: 4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2163233253 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 185 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (28 + 0 + 8)*(-1 + 4 - 1)*(3*t - 6*t + 2*t) - 3*t + 3*t - t.\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 34 (b) -4 (c) 12 (d) 2\/23 (e) 2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 71.53951 - 376.53905. Let p = t + 305. What is p rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/6*(1 + 1). Let w be m - (15\/(-25) + (-51)\/15). Suppose 7*a - w*a = 11000000. What is a rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 511, 1021, 1531?\n\"Answer: 510*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/353 and -63\/1765.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m. Let o(x) be the third derivative of -x**4\/6 - x**3\/6 + 600*x**2. Give -2*o(b) - 2*s(b).\nAnswer: 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -92*t**2 + 1651 - 1651 + (t - 5*t + 2*t)*(-t + 0 + 0).\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16131 divided by 6.\nAnswer: 5377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3824441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42093?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + w - f = -284, 53 = w + 4*f. Suppose w = -r + 4*r. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 3*r + 13 = 0, -4*y = 3*r - r - 6. Let o(z) = y*z**2 + z**3 + 7 - 5*z + 0*z**3 - 6*z**2. What are the prime factors of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003549 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-65)\/30 + (12\/3 - 2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 860059158 to the power of 1\/2, to the nearest integer?\nAnswer: 29327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -35 - 10. Let g(t) = -4*t + 14. Let z be g(11). Let q = r - z. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 12682839 divided by -975603\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) -887\/15 (c) -5\/2 (d) 1 (e) 8\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/((10\/(-6))\/1*(-664)\/830)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 39 + 2.013?\nAnswer: 41.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/11975 - -25864\/11460075. Let m = -35381\/13398 - d. What is the common denominator of -39\/20 and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 108 - 44. Suppose 6*j - m = 3*j + 4*z, -2*j + 12 = 5*z. Suppose 4*p + 2*a - j = 7*a, 5*p + a + 9 = 0. Put p, 0, -3 in descending order.\nAnswer: 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c - 4. Let j(t) = 4*t**3 - 6*t**2 + 47*t - 124. Calculate the lowest common multiple of o(-7) and j(3).\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 AM and 4:29 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(180))\/(sqrt(800)\/sqrt(5)) + (sqrt(72)\/sqrt(12) - sqrt(24))\/(sqrt(108)*6 - sqrt(12)))*3.\nAnswer: -159*sqrt(2)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*m - 36 = -25*m. Let q be 1*m - 18\/(-3). Find the first derivative of 14 - 4*i**2 + 15*i**q + 6*i**2 - 5*i**2 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 9*q + 37. Let l be b(-12). Let n = 86 + l. What are the prime factors of (-11 + n)\/((-2)\/(-45))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 - 7 - (6 + 4 + -21).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 56835127 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -44 + 46. Suppose -m + 5*w = -t*m + 2, 5*m + 4*w + 11 = 0. What is the closest to 0 in -2, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o**2 + 12*o**2 + 3*o**2 + 21*o**2 - 1 as u + v*o**2 + i*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 2*i - 10 = 5*o, -o - 3*i = 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-26)\/4*(51975\/(-715))\/(-45).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 32882421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -39*r**3 + r**2 + 2*r + 3. Let a be x(-2). Let z = a + -310. Solve -4*v - 12 = z*u - 0*u, 5*u = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*i + 3 - 3)*(4 - 2 - 3)*(-131*i**3 - 155*i**3 - 13495*i + 13495*i) to g*i**4 + o*i + l*i**3 + w*i**2 + x and give g.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2124 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from ppippppppippp.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5925534 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 174, 10456, -2 in decreasing order.\nAnswer: 10456, 174, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 816669 and 5280262?\nAnswer: 4321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 60046.9682 to the nearest 10.\nAnswer: 60050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*y - 30. What is the second derivative of -2*c - 7*c - 4*c**3 + y*c wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -5*i**2 + 3977780*i + 119337900 = 0.\nAnswer: -30, 795586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 24873051 - -47?\nAnswer: 24873108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1\/7, 4, -3, -4, 1\/74, -2 in descending order.\nAnswer: 4, 1\/74, 0, -1\/7, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.9 + -4.2. Sort r, 3, 0.07.\nAnswer: r, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49880183.\nAnswer: 49880183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4020 and 6968?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {b: 3, w: 11, u: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 859420 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 695666 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 14534252501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4657\/777 + 80\/111. Find the common denominator of 101\/8 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/98*-7*4\/(-5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 672 - -185. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 32 = -2*w. Let k(u) = u**2 - 6*u + 5. Let c be k(w). What are the prime factors of (92\/6)\/(14\/c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -77.2 - -77.1613. Let w = 0.0387 + p. What is the smallest value in -1, w, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13 + -13. What is the units digit of (f - 3 - -4) + 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h - h = -l + 67, 3*l - 5*h + 38 + 22 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -6*p - 41, m - 94*p + 98*p = -19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 9 - 1\/5*c**2 + 12\/5*c.\nAnswer: -(c - 15)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7396547?\nAnswer: 17, 23, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 14\/(-21) - (-34)\/6. Let f be -2 - (10\/4)\/(-1). What is the biggest value in j, f, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2619 - 0.5648\nAnswer: -0.3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 448, 460, 486, 532, 604, 708?\n\"Answer: n**3 + n**2 + 2*n + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 389.261 centuries in years?\nAnswer: 38926.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -30*q**3 + 14*q**2 - q + 151. What is the thousands digit of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 198 + 176*l**2 - l - 19*l**2 - 1683*l**2 - 1264 wrt l?\nAnswer: -3052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 4*i + 4. Suppose 8*l - 3*l - 5*n = -30, 5*l - 6 = -4*n. Let o(w) = -3*w - 3. Determine l*r(h) - 3*o(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -548*w**2 - 80*w**4 - 277*w**2 - 223*w**2 - 78312*w**6 + 78320*w**6 wrt w?\nAnswer: 960*w**3 - 1920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -5, 12, 35, 64, 99?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**3 + z**2 + z. Let c(f) = -4*f**3 + 4*f**2 + f + 0*f + 17*f**3. Let n(x) = c(x) - y(x). Find the third derivative of n(u) wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -773.33 - 11.67. Let c = -739.1 - v. What is c rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/12719 + -12711\/50876. Which is the smallest value? (a) w (b) 2.721 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-58726185)\/(-84))\/((-1)\/(-4) + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l\/l**(-1)))**(-3\/14)*(l**0\/l)**(-49))\/((l*l*l*l*l**(-1))\/(l**(-2\/29)*l))**(-1\/49) assuming l is positive.\nAnswer: l**(69689\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 0 - (10 - (4 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of 167*v**6\/30 - 52*v**3 - 565*v. Find the second derivative of l(a) wrt a.\nAnswer: 2004*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/18)\/(3\/(-18)*2))\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26959, 26952, 26941, 26926?\nAnswer: 26907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -567261 + 567261 + 1485*x. Let n(q) = 3*q. Calculate y(n(d)).\nAnswer: 4455*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -95, 0, -4\/5, -1\/3, -0.2, 1\/2275?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -29*r + 147 + 109 - 24 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-2018)\/(-10090))\/((-5)\/((-10)\/(-7)))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 10 + 2*c**2 + 11)*(0*c + c - 11*c)*(c**2 + c**2 + 0*c**2)*(-1 + 5 - 2).\nAnswer: -80*c**5 - 280*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 131 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -25180, -75177, -125176, -175177?\nAnswer: -225180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/5, -1\/5, 3, -8\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/42)\/(2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4*(1\/(-2) - -1). Suppose 2*l = -i*r + 10, 0 = 5*r + 2*l + 10 - 26. Is ((-2)\/5)\/(r\/(-330)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*h - 70*h + 40*h - 2784 = 0 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 t when three letters picked without replacement from {t: 1, i: 2, u: 2, c: 2, j: 5, z: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 2328.188kg?\nAnswer: 2328188000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 885, 983, 1133, 1359, 1685?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -541 = -6*n + 311. Calculate the remainder when n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zdffdfzffzff. Give prob of sequence fd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2394 - 2363. Let o = 20 - 15. Solve -3*s - g = -s - 10, t = o*s + 4*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 0, -s + m + 10 = 6*m. Suppose 0 = 3*t + 2*t + s. Is 7 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 7*m**2 + 32*m + 56. Let i = 76 - 88. What is the hundreds digit of p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = v + 5*d - 84, 4*v - 4*d - 508 = 0. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -15*(-5)\/(-10)*4\/(-5). Solve 3*x + g = -6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 6 + (12 + 62 + -58 - (-41 + 1)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c + 102 = 24. Let n be (-5)\/2 - (c + 10). Which is greater: n or 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 - 11. Let g be 1 + (-9 + 20 - 3). Solve -10*m = -l*m - g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**2. Suppose o = 3*o + 4. Let v(u) = 9*u**2 - 1. Let y(n) = o*c(n) + v(n). What are the prime factors of y(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3745 - 3747. What is the third smallest value in 4\/5, 96, h?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/8355290 or -1?\nAnswer: 1\/8355290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32710 is divided by 467.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 19, 3\/11, -1\/3, 75?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 6 = 0, -4*x - 2*u + 9 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -331440000 rounded to the nearest one million?\nAnswer: -331000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/7))**31\/(n**1)**(-38)*(n*n**4*n**(-4))\/((n**(-4\/5)*n)\/(n**(-1\/8)*n)) assuming n is positive.\nAnswer: n**(13589\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 27719469 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5727 and 1173?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f = -m - 50, 21*f - 16*f + 57 = -378*m + 374*m for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 291, 400, 571, 798, 1075, 1396, 1755?\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 7306*i - 3. Let j be t(2). Let d = -5403315 - -64664569\/12. Let n = d + j. Calculate the common denominator of 107\/6 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(5) - (sqrt(5) + 1 + sqrt(605))) + (sqrt(5) - sqrt(15)\/sqrt(3)*3) + sqrt(5))**2 + -5)*-4.\nAnswer: -2864 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = -17222*c + 17226*c + 26, -4*b + 2*c = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 304, -2, -1, 2 in descending order.\nAnswer: 304, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 55867781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of -4*a**2 - 90449. Let b(x) = -40*x - 1 + 1. Give 3*b(y) - 16*w(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -10566561 + 4?\nAnswer: -10566554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**3)**(-32\/5)*f**2*f*f**(1\/2)*f assuming f is positive.\nAnswer: f**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12\/(-3))\/(12\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -5 (c) -0.23 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (4 + 6) - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -3 (b) 3 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 32238 divided by -1?\nAnswer: -32238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -41 + 57. Suppose -2*n = -4*a + 13 - 37, 5*a + 45 = 4*n. Let j = o - n. Solve -j = -2*f - 0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1129308 - 422543. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1024 divided by 132?\nAnswer: 256\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -4 (b) 43 (c) -6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p*p*p\/(p**(-1\/28)*p*p)*p*p**(3\/8)*p)**(2\/5) assuming p is positive.\nAnswer: p**(303\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 9, 10, -1 in descending order.\nAnswer: 10, 9, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 439 = 2*k + k - 4*v, 3*v = -3*k + 411. Let o = k + -71. Let y be (-1)\/5 - (o\/25 - 6). Solve 2*s - y = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.2087 - 0.4087. What is the nearest to 54 in -0.1, u, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3679 + 3767. Calculate the remainder when 190 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102590188?\nAnswer: 2, 2207, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-8) - (-9)\/(-4). Let y = -7 + 11. Suppose -10 = 2*u + 3*p, 3*u + y*p = -0*p - 14. Is v != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + 1. Let g(l) = -9*l**3 + 2*l + 1 + 14*l**3 - 3*l**2 + m*l**2. Let w be (-4)\/6 - (-2)\/(-6). Calculate g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1332901a - -1?\nAnswer: 1332901b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from {n: 1, g: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6.840186 micrograms in tonnes?\nAnswer: 0.000000000006840186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.045 + 1.045. Let w = 0.1 + -0.1. What is the closest to -4 in v, 3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2522859 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**6*(b\/(b*b**(-2\/5)*b)*b*b*b)\/b assuming b is positive.\nAnswer: b**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1543*z + 449*z + 296*z.\nAnswer: -798*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.21 - -0.2. Let w = -278 + 277.6. Sort w, 1\/2, k in decreasing order.\nAnswer: 1\/2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 - 1242?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (14\/6)\/((-168)\/(-576)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -870 - 165. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168393 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1*1 + 26 + (-6)\/(-3). Let q be 114\/n + 8\/(-36). Is q\/22 + 3*(-24474)\/(-198) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 378832 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(143)\/sqrt(11) + sqrt(13) + sqrt(1053)*-6)**2.\nAnswer: 35152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 7*q = 5*q - 20, 0 = -3*z - 4*q - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 3*x + 20. Let n be f(-5). Sort 17, 9, -3, n in increasing order.\nAnswer: -3, n, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 + 5*s**2 + 4*s - 5. Suppose 2*l = 3*p, 8*p = 3*p + 2*l. Let h be p - (3 + -1 + -1). Let i be (-1 + 0)*(-4)\/h. Give a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 943 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - w - 3*w = 358, 3*j - 581 = -5*w. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 4, o: 2}. Give prob of sequence oi.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r - 3*y - 94810 = -13*r, 0 = 2*r - 2*y - 37928. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 25*h + 2*h + 6*h - 3*h as l*h + i and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 12 = -t. Suppose 2*l + t*s = -l + 12, 4*l + s = 31. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 2*p + 8. Suppose -p*x + 20 + 28 = 0. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, g: 3, f: 4, c: 3, k: 4}. What is prob of picking 3 g and 1 k?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*(-14)\/(-60)*90\/(-105).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -101, -393, -891, -1595, -2505, -3621, -4943?\n\"Answer: -103*n**2 + 17*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1764 and 16209984?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 126*y + 589 - 3814 = -89*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 449, 1815, 4099, 7307, 11445, 16519, 22535, 29499?\nAnswer: 37417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -104 + 24. Let z = p - -215. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/6 and -41\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99) + -1 + -4 - sqrt(99))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of 0*c**7 + 6*c + 0 + 0*c**6 + 0*c**5 + 0*c**3 + 1\/6*c**4 + 0*c**2 - 1\/56*c**8. What is the third derivative of g(k) wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 406 = h + 143. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1464 + 1471. Which is the fourth biggest value? (a) 3 (b) o (c) -1\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3296 divided by 2?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1669150 is divided by 87684?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 6*a**3 + 274*a**2\/5 + 276*a\/5 + 32\/5 = 0. Calculate a.\nAnswer: -8, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 188472, 753859, 1696162, 3015375, 4711492, 6784507?\nAnswer: 9234414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - i + 251 = 0, n = -2*i + 39 + 22. Calculate the lowest common multiple of 27 and n.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3072)\/(-48))\/(27\/((-243)\/(-18))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 937, 1355, 773, -1307, -5383, -11953?\nAnswer: -21515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2240*y + 141086. Determine t(63).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2195857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 432569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -119 - -103. Let x = -15.7 - r. Sort -10\/11, 3, x in ascending order.\nAnswer: -10\/11, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 382678739.\nAnswer: 382678739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/21 - (-61)\/7. Suppose -56 = -g + 5*n, y*g - 4*g = -4*n + 251. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8861\/24 - 1081\/3. Let c = -57019\/20490 + 11\/683. Calculate the common denominator of x and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3290151330 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -25, -11444 in ascending order.\nAnswer: -11444, -25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 45016037 + -45016106.0000025. Let b = z - -69. What is b rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -334 + 57 = 277*o. Which is smaller: o or 1\/483?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 458.4621m to nanometers.\nAnswer: 458462100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*b = -75*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -4 + -3 + (12 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*w**3 - 2\/3*w**2 + 1\/3 + 0*w + 1\/3*w**4.\nAnswer: (w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(800)*-1)\/(sqrt(20)\/(sqrt(5)*3)) + ((sqrt(154)*3)\/sqrt(11) + sqrt(14))\/(-1*sqrt(112) + sqrt(7)).\nAnswer: -94*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -21*z. Let f(a) = -11*a - 13. Let v(q) = -12*q - 15. Let h(x) = 9*f(x) - 8*v(x). Determine t(h(s)).\nAnswer: 63*s - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 897 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 71 + -25. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/5 and 859039.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from twtwbwtwttbwubtdbwb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 16 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 120784464 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and -7*(-4)\/(-16)*-8.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1698*o**3 + 1697*o**3 + 0*o + 0*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 164393, 164391, 164389, 164387?\n\"Answer: -2*o + 164395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -834, -6671, -22514, -53367, -104234, -180119, -286026?\nAnswer: -426959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -139*i - 164. Let c be q(-7). Suppose -f + c = 2*v - 538, -5*f = -4*v - 6805. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14.09 - 14. Let v = w + -0.09. Let f = v + 0.04. Round f to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(144)*2 + sqrt(144))\/(6*-1*sqrt(8)))\/((sqrt(90)*5 + sqrt(90))\/sqrt(10) + 2*sqrt(63)\/sqrt(7)).\nAnswer: sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 29 - 15. Let a be (-600)\/532 - (-4)\/d. Let r = 74\/133 + a. What is the nearest to 3 in -0.3, 3\/4, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 2959, -15156 in ascending order.\nAnswer: -15156, 1, 2959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19635*n**2 - 68*n**3 + 19635*n**2.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 46338.33 micrometers in millimeters?\nAnswer: 46.33833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*x**4 + 69*x**3 - 525*x**2 + 1431*x - 972.\nAnswer: -3*(x - 9)**2*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.056 - 0.356. Let r be (4\/(-35))\/(6 - 140\/25). What is the fourth biggest value in 2\/7, -0.03, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 3*v**2. Let d(b) be the first derivative of -b**6\/360 - 2*b**3\/3 - 2. Let w(n) be the third derivative of d(n). Calculate p(w(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 14 = 5*w, 0 = -3*z - z - 4*w - 32. Let i = -17 + 5. Let y = z - i. Solve -2*c + 8 = -x, -4*c - 4*x + y + 10 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 909 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**4 + i**3 + i**2 + i + 2. Let t(k) = -103*k**4 + 7*k**3 + 494*k**2 + 7*k + 14. Let s(o) = 7*j(o) - t(o). Find the third derivative of s(h) wrt h.\nAnswer: 2640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 877140 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.007351 to 4 decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 3*p - 8, 3*p + 2*l - 1 = -0*p. Suppose -4*u + n - p - 5 = 0, 0 = n - 2. What is the common denominator of 97\/18 and (u + 340\/14)\/(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26 - 41) + 242 + -111?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 4 = -4*q, -3*z + 4*q + 16 = -0. Suppose 3*i + 12 = -4*m + 199, z*m = 5*i - 365. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1085 - 1089 + 3271 - 1097 + 432*w.\nAnswer: 432*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of g + 11\/18*g**3 + 17 - 1\/36*g**4 + 13\/3*g**2. Factor z(v).\nAnswer: -(v - 13)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -540622.6239 to the nearest 1000.\nAnswer: -541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (5*1*sqrt(3264))\/((sqrt(21)*1 + sqrt(21))\/sqrt(7) - (sqrt(300) + 1*sqrt(300))).\nAnswer: -20*sqrt(17)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 158.64 + -155. Round q to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5463.87ml in litres?\nAnswer: 5.46387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of 13*f**3\/6 - 33*f**2\/2 - 12*f. Let k(v) = -6*v + 16. Let o(d) = -5*k(d) - 3*t(d). Differentiate o(h) wrt h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j + 9. Let c be x(5). Find the third derivative of -6*t**6 - 42*t**c - 6*t**2 + 42*t**4 wrt t.\nAnswer: -720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (((-17802)\/13616)\/(-43))\/((1\/1)\/4). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -67? (a) -2\/9 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 696 is divided by 347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/2177 and 23\/13373.\nAnswer: 93611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 487 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -4*o + 13. Suppose 3*m + 3 + 6 = 0, -4*m - 20 = 4*x. Let j(w) = w - 3. Let r(d) = x*h(d) - 9*j(d). Calculate r(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -244?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, -3100, -13898, -37002, -77020, -138560, -226230?\nAnswer: -344638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 84297608155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z - 5*z + 42. Let q(h) = -9*h - 253. Let x be q(-29). Solve -x = -z*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2862.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u**2\/9 - 134*u - 13024\/9 = 0 for u.\nAnswer: -592, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 4*g. Suppose l = 6*l + b - 156, g = 4*l + 3*b - 116. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 + 6*a**2 - a - 1. Let o be r(-6). Let b(z) = 7*z**2 + 8*z - 3. Let s be b(o). What is the hundreds digit of (-14)\/(-4)*s\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = m + 4*m. Suppose 0 = -4*t + m*n + 124, 5*t - 4*n = -5*n + 161. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 2*t - 428. Let m = 205 + t. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aaha. Give prob of sequence ah.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 2*x**2 - 25*x + 95. Let o be p(8). Suppose -396 = o*m - 41*m. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 9461*g**3 - g**2 + 53397?\nAnswer: 28383*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide (780\/40)\/((-15)\/(-100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.2 - -13.2. Let x = n + -2. Let y = 13 - x. Which is the nearest to 2? (a) -5 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 + -2 + ((-2728)\/217)\/(6\/6)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**3 - 5*z**2 - 2*z + 25. Give y(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 180 - 36 = -23*o. Solve -o*q - 45*q + 108 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 6. Let y = 10 - 7. Does y = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -9*p**3 - 4*p - 2. Let s(g) = 46*g**3 + 19*g + 9. Let m(x) = 11*d(x) + 2*s(x). Let c(a) = 13*a**3 + 11*a + 7. What is 4*c(v) + 7*m(v)?\nAnswer: 3*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 423798096*f*q**2 + 39560581*f*q - 2 wrt q.\nAnswer: 847596192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 118724593 times -0.07?\nAnswer: -8310721.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37251 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -11227162, -22454316, -33681470, -44908624?\n\"Answer: -11227154*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 23 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2315, 4601, 6887?\nAnswer: 9173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 23*k**3 + 10*k - 16*k**3 - 10*k**3 to the form i + l*k**2 + u*k + q*k**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 563555 (base 7) in base 15?\nAnswer: 1e855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*x + 3 - 39 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 303121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6923 + 103849\/15. Let b(o) be the first derivative of 14 + r*o**3 + 0*o - 2\/5*o**2. Solve b(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 5*f = 17, 78*s + 7 = 75*s + 4*f. Put 0, s, 2, 19, -2 in descending order.\nAnswer: 19, s, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 5}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 260 and 1940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3557109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 - 18*v + 12. Let c(g) be the first derivative of -3*g**2 + 4*g - 1. Let z be (36\/(-15) + 2)*5. Let r(u) = z*a(u) + 7*c(u). Factor r(f).\nAnswer: 2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 3*h - 1. Solve 0 = -h*l - p - 13, l - 4*p + 0 = 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 - (-2 + 2204\/(-22)). Let f = v - 7085\/66. Let z = 20\/3 + f. Which is bigger: 2\/9 or z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(7) - (sqrt(7) - sqrt(14)\/sqrt(2))) - (sqrt(28)\/sqrt(36))**2.\nAnswer: 2\/9 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 + -6. Let o(x) = 2*x**2 + 2*x - 2. Let t be o(-2). Let f be 3\/(t\/(-2) + 2). Solve c*u - 4 = 0, -f*p = 3*u - 0*u + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -949*a - 5028. What is the remainder when n(-23) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -46 (b) -6 (c) -5\/29 (d) -1 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -46918*q**4 + 12*q**2 + 46906*q**4 + 126*q**3 - 2*q - 122*q**3 in the form i*q**4 + u + v*q + p*q**3 + h*q**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(396)*-1)**2 - sqrt(77)\/(sqrt(7) - sqrt(63)).\nAnswer: sqrt(11)\/2 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13323 - 0?\nAnswer: -13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 127309133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 3*o - 6. Let x(s) = 1. Let d(r) = 5*x(r) + z(r). Suppose -2*y = -0*y - 10, -41 = 4*j - 5*y. Let h(g) = -16*g + 6. What is j*h(b) - 22*d(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 36\/15 + (-2)\/5. Let a be (35\/2)\/(n\/4). Suppose a = -4*k + 5*k. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 944*p - 16. Let b be v(14). What is b rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - ((-2 - (3 + -3)) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 1, p: 1, z: 1, f: 1, l: 1}. What is prob of picking 1 z and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -2 + sqrt(171) + 0 + -2 + (sqrt(152)*-1*-3)\/(sqrt(8) - (sqrt(56) - (sqrt(56)*-1 - sqrt(56)))\/sqrt(7)))**2.\nAnswer: -15*sqrt(19) + 271\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2450 and 217000?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1892 a factor of 49188216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 118 times 2?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 12 + 102?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006130878 rounded to five dps?\nAnswer: -0.00613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s - s + 830. Suppose 29 = 3*o - s. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-6)*1*-3. Let x be q - -1 - (779 - 2). Is (-2)\/3 + x\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22950358 is divided by 3771.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes after 1:24 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -69116631 bigger than -69116632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 26614*q**3 - 652052.\nAnswer: 79842*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14963 = 24*f - 11*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 2*n = 4*y + 17, -2*y - 4 = -2*n. Let b = y + 12. Suppose 2*k = b*k. Solve k = -0*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 19276 by 1.\nAnswer: 19276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -403, -1045, -2125, -3649, -5623, -8053, -10945?\n\"Answer: -q**3 - 213*q**2 + 4*q - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3b971 - -156?\nAnswer: -3b819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 22767.49 litres?\nAnswer: 22767490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of f**7\/840 - f**5\/120 + f**3\/24 - 7*f**2 - 12*f. Let h(m) be the first derivative of g(m). What is i in h(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -2*(3 + 6*-1*(sqrt(605) + sqrt(605) + 2 + -1 + (sqrt(605) - (sqrt(605) + sqrt(605) + sqrt(605)*1 + sqrt(605))) + -2))**2.\nAnswer: -43726 - 2376*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -5*x - 7. Let w be g(-3). Let f be (-1 + 12\/w)*0. Suppose f = -2*z - z + 6. Is z bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -12*z**3 + z**2 + 9*z - 4. Let a(m) = -13*m**3 + m**2 + 10*m - 5. Let t(b) = -6*a(b) + 7*h(b). Let d be t(-3). Suppose -3*r + d = -85. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -65*h**2 - 3*h. Let l(y) = -24*y**2. Determine b(l(c)).\nAnswer: -37440*c**4 + 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*b + 13 = -177 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 2*a + 6 = -5, 3*a = 3. Find the third derivative of 0*x**6 - x**2 - x**2 + r*x**6 - 4*x**6 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l**2 + 53323*l - 3*l**2 - l**2 - 3.\nAnswer: -3*l**2 + 53323*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 154? (a) -26\/47 (b) -0.4 (c) 14\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 4 = -f. Let t be (-6)\/f + (-7)\/(-2). Sort -1, -2, t in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 10100000 (base 2) to base 3\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.3122 + -0.3. Let w = -0.0333 + o. Round w to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.167+1605.3\nAnswer: 1605.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -812 divided by 812\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 67*r**4 - 386*r**2 - 2482*r wrt r.\nAnswer: 804*r**2 - 772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -605170 to the nearest 10000.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(-6)*3\/1. Let u(w) = -w - 7*w + 8*w + 2*w**2 + 3*w. Let n be u(m). Solve 0 = n*h - 2*i - i - 7, -5*i = 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1713247623?\nAnswer: 3, 190360847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 7. Suppose 0 = 2*w - t*f + 3 - 22, 25 = 5*w - 3*f. What is the lowest common multiple of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7844\/3 + 2615. What is the nearest to -1 in -0.2, i, 399, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**3 - 17*u**2 + 80*u + 40. List the prime factors of p(19).\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 274267840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -1680699 divided by -560233?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 1839*y**2 + 49*y - 49. What is the units digit of a(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4691 - 2?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the second derivative of 1\/3*c**3 + 1\/900*c**6 + 0*c**5 + 0 - c + 0*c**4 + 0*c**2. Let k(t) be the second derivative of y(t). What is m in k(m) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -31 + 15 + 58 + -48\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 663 and 4420?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 372, 5, -2\/7, 1\/7 in ascending order.\nAnswer: -2\/7, 1\/7, 5, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwri when four letters picked without replacement from rhrrrrrwirrprrpipwr.\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 240370\/31433*(-5)\/((-300)\/85)?\nAnswer: 65\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 88*a + 9 = 89*a, 3 = -2*u - 3*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -2*o + 1. Let s be q(-6). Suppose 0 = -11*w + s*w + 8. Sort w, 8, 3.\nAnswer: w, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 10:53 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 2)*(15 + 0 - 6)*(-3*n**3 + n**3 + n**3).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18208?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17819.\nAnswer: 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -1 + 2 + 12*f - 2. Let p be c(3). Let l = -17 + p. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 8, -d + 2*v - 25 = -0*v. Let n = d - -27. Which is the closest to 0? (a) -2\/7 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 36 = 6*a. Find the second derivative of 26*o**a - 36*o**4 - 12*o + 18*o**4 wrt o.\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 5*u + 30 = -26, -5*g + 2*u - 52 = 0. Let k be ((-1)\/(-2))\/(1\/g). Let a be (2 + 1)\/(k\/(-8)). Solve 5*t - 1 = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 0*z - 2*z)*(-1 + 6 + 1)*(1 + z - 1 + (4*z + z - 4*z)*(-1 + 2 - 3)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -144 - -177. Calculate the highest common divisor of 77 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 7*j**3 + 4*j**2 - 3*j. Let h(y) = y**3 + y**2. Give -b(i) + 6*h(i).\nAnswer: -i**3 + 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1260*k**3 + 6 - 559*k**3 - 658*k**3.\nAnswer: 43*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2*k + 8 = -0*c, 3*k + 12 = 4*c. Suppose -4*o + 336 = -c*o. Suppose -x + 3*x - o = 0. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 1 - 0 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.014409 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -18 in decreasing order.\nAnswer: 1, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -0.1844.\nAnswer: 0.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 721325 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -73 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5217159669?\nAnswer: 3, 19, 91529117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(50)\/(sqrt(70)\/sqrt(7)*-5) - (sqrt(45)\/(sqrt(405)\/sqrt(5)))**2.\nAnswer: -5\/9 - sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 4\/11, -0.05, 5, -0.6, 5\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-588)\/(-6))\/(2\/(-3)). Let r be (-1)\/3 - 91\/h. Which is the nearest to -1\/4? (a) r (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -38834.419698484 and 2.\nAnswer: -38832.419698484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 981329737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, o: 10, b: 6}. What is prob of picking 3 b and 1 l?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in 2\/7, -1\/2, -2.7, -4\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - 9. Sort 3, -5, q, 4 in descending order.\nAnswer: 4, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 139 is divided by 79?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*w - 3*w. Put w, 8, 0 in ascending order.\nAnswer: 0, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -4*j. Suppose 3*q = 3 + 3. Let c(a) = 0*a**q - 2*a**2 + 6*a - 6*a. Calculate o(c(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the first derivative of 5*u**3\/9 - 165*u**2 + 16335*u + 608. Factor l(o).\nAnswer: 5*(o - 99)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10929 + -10929. Solve -6 = -d - 5*i - 5, v = -4*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 465\/(-372)*(-16)\/120.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.106411 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 138*a + 1393. Let v be h(-10). Solve 4*r - v*r = 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 70 - 63. Suppose 0 = 5*o - 3*c - 811, -c + j = -o + 168. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-3) - (-5)\/(90\/258). Solve -3*y = -0 - b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-7)*v*v**37)\/(v\/(v\/v**(-27)))**(8\/15) assuming v is positive.\nAnswer: v**(232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - u + 8. Suppose -210 = -88*g + 78*g. Calculate the remainder when g is divided by s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 0 + (162 - 176) - (-10 + 9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 30601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -9*u - 72. Let d be s(-8). Suppose 4*v + d*v + 1664 = 3*t, 3*t - 5*v - 1660 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, e: 1, y: 5, g: 10, b: 1, m: 1}. Give prob of sequence byy.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3964 = -6*x - 1042. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 206876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -32221\/3 - -10740. Which is the fourth smallest value? (a) -3 (b) -0.3 (c) 10 (d) j (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j = 17*j - 10. Suppose -4*u = 4 - 0. Let v be 162\/(-72)*(-8)\/6. Put u, v, -2, j in decreasing order.\nAnswer: v, j, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i - 5*c + 524 = 540, 3*i + 3*c + 6 = 2*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.5 + 3. Let k be ((-2)\/4)\/(9\/1678). Let p = k + 93. Which is the nearest to 0.1? (a) 2\/3 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(5 + (-12)\/4). Suppose 0 = -p*i + 2*z + 2*z + 84, 2*i - 78 = -2*z. Let k be ((-348)\/i)\/3 - -3. Are k and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 24 = -0*k. Let q = -8 + k. Solve 8 = q*t - 0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6750 and 300?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 33252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -24 + 23.9. What is the closest to 1 in -4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) 25\/2 (c) -5754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*c + 24, c - 5*x + 22 = 3*c. What is the units digit of ((-42)\/(-4))\/(c\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22130632063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*b**2 + 3277*b - 3277*b + 23*b**3.\nAnswer: 23*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2 - 9*r - 5. Let x be n(-8). Let v be x\/(-2) - 33\/(-6). Let o(t) = -3*t**2 + v*t**2 + 0*t**2. Let m(h) = h**2. Calculate o(m(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 522433041 (base 6) to base 16\nAnswer: 8aa7d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -110\/7 - -667\/42. Let y = 89 - 89. What is the biggest value in y, -365, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**(3\/14)*k)**(-3\/8) assuming k is positive.\nAnswer: k**(-135\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28180663 is divided by 90.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -14*j**5 - 232*j**4 + 700*j**3 + 13040*j**2 - 55406*j + 41912 = 0.\nAnswer: -13, 1, 4, 31\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -18*q + 24. Let i be r(1). Suppose 0 = 3*u - 2*t + i*t - 29, -11 = 3*u - 4*t. Solve -u = -4*b + b - j, 12 = 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*z - 36*z - 150. Let g(b) = b + 11. Calculate g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -j + 146, 0 = -0*s + 4*s + 2*j - 118. Let n = 34 - s. What is the closest to -1 in -3, -4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**2 - 1. Let l be d(-2). Let m(u) = u**2 + 15*u + 18. Let v be m(-14). Suppose v*a = 3*a - 0*a. Is l != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*j**2 + 0 - 4*j + 374*j**2 + 115*j**2 - 100*j**2 + 2.\nAnswer: 488*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, y: 2, z: 2}. What is prob of picking 1 z and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 - 9*u**2 + u - 5. Let z be w(9). Suppose -z*x = x - 65. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 2*n + 2. Let v(g) = 392*g - 32. Let z(r) = -16*f(r) - v(r). Let h(o) = o**2. Determine h(z(p)).\nAnswer: 179776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 3, j: 1, n: 2, k: 9, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -50 + 35. Let l be (-10)\/p*(-15)\/(-1). Solve f + 2*n + 11 = 0, -l = -f + 3*f + n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 + -3.1. Let s = 47215.1 + -47220.1. Which is the second smallest value? (a) -16 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 1, -4, 5, -46 in decreasing order.\nAnswer: 5, 1, -4, -8, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -6761*s**2 - s - 1. Let c(o) = 3*o. What is c(y(k))?\nAnswer: -20283*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 822416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1576410 is divided by 1576383.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 1, e: 4, n: 4, a: 2, f: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 + 5*s - 2. Let k be a(5). Let j be 9\/(-15)*(-3 - k - 4). What are the prime factors of j - (-1)\/(-5 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 166 a factor of 48796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/9, -3\/10, 3.8, 13, 3?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-125)\/20 + 6)*(8 - 81) and -29\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 4*t + 28. Let c be z(-6). Let f(d) = d**2 - 5*d + 1. Let r be f(6). Solve 0 = c*s - r + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 + 7*m**2 + 6. Let t be r(7). Is t\/9 - 201\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*t - 82*t - 77*t - 76*t - 80*t + 395*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 196435.8 millennia in decades?\nAnswer: 19643580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11726386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 644.7103mm in kilometers?\nAnswer: 0.0006447103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13\/44 - -6\/11. Which is the nearest to 1\/3? (a) r (b) 2\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27)\/12 + (-23)\/92 + 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 438410 and 238?\nAnswer: 7452970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1024 and 3841856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3\/7, 24, 5\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*r**2 + 12217*r - 12217*r + 4*r**2.\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -286 or -0.405?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 - ((39 - 38) + -27 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 478877 is divided by 667?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*k + 18324 = -8010. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 704\/221 or 4?\nAnswer: 704\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -3*k + 6*k - 114, k = t + 40. Suppose 4*z - 4*w + k = -3, 0 = 5*z - 3*w + 58. Suppose -3*s + 2*i = 1, i + i = 4*s. Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, d: 1, a: 1, j: 1, r: 2, w: 1}. Give prob of picking 1 a, 1 j, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 319860 and 600?\nAnswer: 3198600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2*o. Let d(b) be the first derivative of -5*b**2 - 167*b - 2533. Determine d(v(x)).\nAnswer: 20*x - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (2*v**2 - v**2 - 3*v**2)*(24*v + 12*v - 11*v) as c + x*v**3 + j*v + z*v**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2324 (base 5) in base 11?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(75)*5 + sqrt(75) - -3*(sqrt(75) - -2*sqrt(75)))**2.\nAnswer: -600*sqrt(3) + 16891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -75970 * -0.1.\nAnswer: 7597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2750, -5466, -8196, -10946, -13722?\nAnswer: -16530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 388*r**2 + 2*r - 18. What is the hundreds digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = 2*j. Let r(f) = f + 5. What is the remainder when r(j) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11488 is divided by 367.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.6 + -7.1. What is the closest to -0.1 in 1\/4, n, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21*v**4 + 13*v**4 + 5*v + 10*v**2 - 6*v + 10*v**4 to m*v**4 + h*v**3 + d*v + x*v**2 + c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -194 + 484. Suppose m = 4*b - 350. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/1)\/(9\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 10120 (base 3) to base 15\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -322, -376, -466, -592, -754?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 416370689 and 20923?\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + -1. Let x = 18.9 - 19. Let q = 0.4 + x. Which is the second smallest value? (a) j (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + z = 30, 28 - 7 = 2*i + z for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 5*s = 1166, 4*v - 6*s = -s - 1543. Is (-204)\/136 - v\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**2 - 4*z + 7. Let p be x(-5). Let c = 3 - p. Calculate the remainder when (-1)\/2*(1 + -3) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 13415002 (base 7) to base 13\nAnswer: 348c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -s**4 + 2571751*s**3 - s**2 - 382*s + 1947?\nAnswer: -12*s**2 + 15430506*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 114 = -j - 230, -2*k = j - 221. What are the prime factors of k?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10008 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156289 is divided by 396?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 + 10. Let i = a - -0.89. Let j = i - -4.61. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(70)\/(sqrt(90)*1).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -844 and 3538.\nAnswer: -2986072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - (-4 - (-2 - 1)). Let d be (144\/28)\/(2\/7). Let t be 99\/d + 1\/z*-2. Solve t*l + 0 = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 9239 - 44*o - 9239 in the form z + k*o and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20 + -17. Suppose -m*v = -5*v + 4*c + 76, -180 = -4*v + c. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 70.28113.\nAnswer: 66.28113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 8 = c. Let i = 27 + -17. Calculate the lowest common multiple of i and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 123993207 divided by -69.\nAnswer: -1797003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - 2654?\nAnswer: -2660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (72982\/(-381752))\/(13\/(-48))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, i: 11}. What is prob of sequence fiif?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 299393 or 299394?\nAnswer: 299393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z*z**(-9))\/z*z)*z**(-3\/10))**(9\/5)\/((z*z**(-4)*z)\/z*z**(1\/8)*z**9*z*(z**(3\/4)*z)\/z*z) assuming z is positive.\nAnswer: z**(1357\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 4*l**2 - l - 17. Let p be c(5). Factor -6*a**3 - 9*a**2 + a**3 - 16*a - 6*a**2 - a**2 + a**p.\nAnswer: -4*a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -4*i + 2482, -2*i = -4*x - 384 + 5338. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l. Let x(z) be the third derivative of 77*z**4\/6 + z**2 + 436. What is x(p(n))?\nAnswer: 308*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1024131341 - 13?\nAnswer: 1024131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2272.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -30490641300 rounded to the nearest one million?\nAnswer: -30491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 1 - 7*c - 2 + 5*c - 15*c. What is the tens digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*2*sqrt(121) - (sqrt(121) - (5*-1*sqrt(121) + sqrt(121))))\/((sqrt(121) + (sqrt(121) - -2*sqrt(121)*-5))\/sqrt(11)).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.8 - 5.8. Let k = x - -4.4. Which is the second smallest value? (a) 5 (b) k (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-72)\/(-27)*(-42)\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -21*(-66)\/(-42)*-4 is divided by 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -121*o**2 + 5*o - 4. Let c be w(1). What are the prime factors of (c\/(-14) - 15\/(-35))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 3 g when four letters picked without replacement from {g: 1, w: 1, r: 1, d: 1, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101010100101001110100 - 1?\nAnswer: -101010100101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 3 = 19. Suppose 2*z - o*z = -6. Suppose -z*h = -14 - 31. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 5, b: 5, h: 8}. What is prob of picking 2 p and 2 h?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes after 6:08 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-42)\/(-140)*(-5)\/1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 + 29*k**2 - 64*k - 44. Let u be m(-31). Solve 21*j + u = 12*j 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) 11 (b) -8 (c) 163 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 10 + 2)*(-u + 7*u - 2*u)*(304 - 32*u**3 - 304).\nAnswer: 1280*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 + f + 6. Let y be c(3). Are y and -10\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39 + -37. Find the first derivative of 14 - 23*d**2 + 10*d**2 - n*d**2 wrt d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of y**6\/25 + 17*y**5\/50 + 7*y**4\/30 - 17*y**3\/15 - 2*y**2 + 346*y. Let w(x) = 0. Calculate x.\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {v: 7, l: 8, z: 5}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m + 16. Let j be y(-11). Suppose j*k = 8*k - 204. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 20*((-55)\/(-10))\/11. Suppose -n*x - 66 = -11*x. What is the remainder when x is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 39*r. Let h(o) = 896*o**2 - 2. What is u(h(z))?\nAnswer: 34944*z**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -152*p + 0 + 0. Let o(q) = 4*q + 6968. Let r(h) = h + 1608. Let d(u) = -6*o(u) + 26*r(u). What is d(i(x))?\nAnswer: -304*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6.3289529 and -2?\nAnswer: -12.6579058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -16*i**3 - i**2 + i + 1. Let q be 21\/4 - (-9)\/12. Let s be 16\/(-12) + 2\/q. Let o be x(s). Calculate the greatest common factor of o and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -126185*x + 18675384. Give w(148).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*c + 48*c = -1008. Solve 0 = 19*t + c + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, u: 1, r: 4, p: 2}. What is prob of sequence nrn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-244)\/(-36) + 4\/18. Let g(w) = w - 5*w + 3*w + j. Let m be g(5). Solve -p + 9 = -0*o + 3*o, -m*p + 2*o = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/34, -0.08, -2\/3 in descending order.\nAnswer: -0.08, -3\/34, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*f, 0*j + 4*f + 157 = j. Let a = j - -38. Suppose -a = -5*t - 4*u + 3*u, 3*u = -5*t + 205. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence glc when three letters picked without replacement from {i: 1, l: 2, c: 1, p: 1, z: 1, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2324 - 3?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**0)**(-42) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -267*u**4 + 3*u**2 - 71*u + 16178. Let o(x) = 179*x**4 - 2*x**2 + 48*x - 10785. Let y(d) = -7*m(d) - 10*o(d). What is the derivative of y(v) wrt v?\nAnswer: 316*v**3 - 2*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 64647 - -41?\nAnswer: 64710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 34 - 6*y - 95 - 32 + 17*y. Let u be a(21). Calculate the greatest common divisor of 92 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -25*o**2. Let q(t) = -t**2 - 14*t + 20. Let h be q(-13). Let v(w) = -33 + h - 3*w. Determine v(b(j)).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 22828347 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 - 5*s. Let u(c) = c**2 - c - 1. Let k(n) = m(n) + 2*u(n). Let h be k(8). What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 17, d: 3}. What is prob of sequence wdwd?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**2 + 2*k + 1. Let s be h(-1). Let u(g) = g - 11. Let o be (7\/(-3) - -2)*-42. Let i be u(o). Solve z - i + 7 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -169708 by 421.\nAnswer: -169708\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 10166, 20332, 30498, 40664?\n\"Answer: 10166*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + g - 5 = 2*h, 0 = -5*h - g - 13. Let d be 1\/h - 20\/(-8). Determine f, given that 0 + 0*f + 3\/4*f**3 - f**4 + 1\/4*f**d = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 19. Let p(y) = 6*y - 2. Let m(l) = 5*l - 3. Let k(n) = r*m(n) - 6*p(n). Suppose 0 = 4*s + 2*h + 18, -h + 14 = -4*s - 1. What is k(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 614926 is divided by 2356?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1413451, 11307708, 38163555, 90461788, 176683203, 305308596, 484818763?\nAnswer: 723694500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3 - 408930*z**2 - 8180420*z - 14725080.\nAnswer: 5*(z - 81806)*(z + 2)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10034 + -5?\nAnswer: 10025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11473920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 5. Let i be (-8)\/(-5)*(-150)\/(-12). Let l = i + -98\/5. Is l bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 + (-5 + 4 - 0). Sort 3, 4, i.\nAnswer: i, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*o - 4 + 2*o**2 + 6 + 2 + 5*o to s + j*o**2 + k*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -505*t + 506*t + 8, 4*w + 16 = -4*t. Determine a, given that -22*a - 121\/2*a**w - 2 = 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11727 plus -1?\nAnswer: -11728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the third derivative of -2785*s**4\/24 - 1405*s**3\/2 - 72*s**2 + s - 36. What is the derivative of g(v) wrt v?\nAnswer: -2785","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 7*v + 2. Let l(w) = 354*w + 105. Let p(q) = 2*l(q) - 105*m(q). Let h(b) = 4*b + 4. Give h(p(a)).\nAnswer: -108*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + j + 14)*(-2*j + 0*j - j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -45.75 + 3.35. Let b = h - -42. What is the closest to 0.1 in -0.2, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -574 + 30?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1aa640 (base 13) in base 11?\nAnswer: -424937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.089009 and -1.\nAnswer: -0.910991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 525.7945 to the nearest 10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -214 or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 86195 is divided by 43086?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -96, -99, -114, -147, -204, -291, -414?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 92065809 to the power of 1\/2, to the nearest integer?\nAnswer: 9595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*r + 36*r - 13 = -4*a, 0 = a - r + 8. Let y(j) = -2*j**3 + 8*j**2. Let f(b) = b**3 - 7*b**2. Give a*f(p) - 2*y(p).\nAnswer: p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8193150 to the power of 1\/2, to the nearest integer?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-29 - -25)\/((-5)\/8 - (-9)\/12).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of 19*x**2 - 7\/6*x**3 - 1\/24*x**4 + 0*x**6 + 0*x + 0 + 1\/60*x**5 - 1\/15*x**7. Find the second derivative of r(d) wrt d.\nAnswer: -168*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000843 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 + 5*l - 19. Let j be h(-12). Let b = j + -61. Suppose 5*o = -b*f + 322, f - 2*f - 332 = -5*o. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 329 and 70?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 4, g: 2, u: 2, p: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/49857312 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w + 1. Let d(s) = 2*s + 13. Determine d(y) + 4*h(y).\nAnswer: -2*y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - ((0 - 3) + 5))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 - -41. Suppose m*h - 64 = -3*h. Is 2227\/4 - (0 - 2\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 4*b + 266. Suppose -u = -4*l + u + 204, 0 = -l - 3*u + 44. What is the remainder when s(-28) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/s**(-2\/3))**(-18))**(-3\/20))**19 assuming s is positive.\nAnswer: s**(171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -269, -515, -981, -1769, -2981, -4719, -7085?\nAnswer: -10181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, o: 1, c: 3, e: 2}. What is prob of sequence cie?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 78481901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -83, 0, 4, 146, -13 in increasing order.\nAnswer: -83, -13, -1, 0, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -227727, -1\/2 in ascending order.\nAnswer: -227727, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 - -2b?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 204770 is divided by 29250.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 13645*a - 10311*a - 133360 = 0 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 66 + 4 = -x, 0 = 3*x - 12. Find the second derivative of c*a**5 + 10*a - 2*a**2 + 2*a**2 + 14*a wrt a.\nAnswer: 580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the first derivative of -h**8\/560 - h**5\/60 - h**3 + 2. Let z(g) be the third derivative of a(g). Find the second derivative of z(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 248, 506, 1198, 2540, 4748, 8038, 12626?\n\"Answer: 36*m**3 + m**2 + 3*m + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-69)\/(28 + (-713)\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1538*h**3*j*o**4 + 2*h**3*j*o**2 - h**3*j*o - 131*h**3 + 4246*j*o**4 + 297*j*o wrt o.\nAnswer: -36912*h**3*j*o + 101904*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/6*50\/20.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -509 + 620. What is the greatest common divisor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 1.4 (b) -5\/2 (c) -7 (d) -1\/4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6528 and 407184.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -9, -5, -1\/8, -108, 20.8, -0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -72018 times 2?\nAnswer: -144036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1730, 1744, 1770, 1814, 1882?\n\"Answer: n**3 + 7*n + 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m**(-2\/43)\/m))\/((m*m**(-10\/7)*m)\/m*m))\/(m\/m**(-17)*m**(-2\/13)*m) assuming m is positive.\nAnswer: m**(-67973\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 0.3, 1, 2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -1038 - 270. Suppose 4*a - h - h - d = 0, 0 = 4*a - 3*h - 432. What are the prime factors of a?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 11*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 2:23 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yckykkkkyykcyyk. What is prob of sequence kcc?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 199.6 + -183. Let m = 17.5 - b. What is the fourth smallest value in 1, 2\/23, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4aa1 (base 11) to base 2.\nAnswer: -1100111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 + 11*t - 5. Let a be z(7). Suppose -p = -0*p - 4*u - 4, -p = -3*u - 9. Suppose a*g - p*g = -211. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -3*w**2 - 5*w + 10. Let m(q) = q**2 + 522*q + 2590. Let x be m(-5). Give p(x).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 71843, 143686, 215531, 287378, 359227?\n\"Answer: u**2 + 71840*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*b - 14*b - 33. Let r(a) = -5*a - 10. Let d(q) = q + 2. What is b*d(w) - 2*r(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(3\/8)\/h**(-1\/6)*h\/((h*h**(1\/2))\/h)*h**10)**(2\/27) assuming h is positive.\nAnswer: h**(265\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 5*m + 2. Let k be (-53)\/m - (-1 - 1). Suppose 4*d = k + 541. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + -7 + (0 - (-1 + -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 575 a factor of 2176415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11\/2 (b) 191 (c) 1826\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 66.9052 millennia to years.\nAnswer: 66905.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -113867784 + -5?\nAnswer: -113867789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/1114*18\/855. Let j = -148196\/179911 - x. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (35\/3)\/(-7)*(-41)\/(328\/(-9))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -290 (b) 0.5 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34217 - 236*v - 34217 to h + c*v and give c.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - 9*s**2 + 10*s - 1. Let y be c(8). Suppose 21*z - 183 = -y. What is the remainder when 85 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 90.4524001 rounded to 1 dp?\nAnswer: 90.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -172*d + 172*d - 25*d**2 as i*d**2 + o*d + x and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -117*c - 28831 = 1442*c + 28315 + 27040 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s + 55 - 32 = 5*l, -2*s = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1934993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 2*w - 2*v - 304, -5*w - 516 = v. Let x = -92 - w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 14 - 6 = 0, 4 = 2*u + 3*k. Which is the second smallest value? (a) 5 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + f - 3*f + 5, 5*k + 2*f = 17. Let y be (-10)\/(-6) + 2\/6. Let u(g) = k*g - y*g + 1 + 2*g - 2*g. Let o(z) = 7*z + 5. Calculate o(j) - 6*u(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -243, -2107, -5213, -9561?\nAnswer: -15151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-2\/17))**(-2\/87)*((((h*h**17)\/h)\/h)\/h*h)**30 assuming h is positive.\nAnswer: h**(709882\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 764 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 648 = 258*x + 287 - 413 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/4 + 1\/2 - -214. Let z = s - 212. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of u**9\/63 - u**5\/60 - 7*u**2. What is the third derivative of n(i) wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18880107 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -2532 (base 13) in base 7?\nAnswer: -21252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 53 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*z - 6660 = 22*z. Let f = z - -321. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -79602, -159200, -238796, -318390?\nAnswer: -397982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -530.1.\nAnswer: -2120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((324\/168)\/9)\/(3\/(-2))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 12*u - 39. Suppose 0 = u*k - k - 15. Solve -r = i - 2, -k*r + 15 + 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(1\/4)*w)**6*(w**0)**(1\/24))\/((w*(w**(-1\/3)\/w)\/w)\/w**(8\/3))**13 assuming w is positive.\nAnswer: w**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.5 - 2.5. Let w = 29201 - 29200.9. Let j be (-14)\/10 - (-6)\/15. Which is the third biggest value? (a) w (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -385 + 387. Suppose n*t = -2, 5*r - 10906 = t - 0*t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 760937 (base 12) to base 15.\nAnswer: 26d554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be 21\/(-2)*20\/3. Let p = b + 100. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 - 13*n**2 + 3*n - 41. Let i be v(13). Let y be (-2)\/6*(-2 - 4\/i). Solve 0 = -y*f - 4*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 838, 3339, 7534, 13423?\nAnswer: 21006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are 37 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*r - 10*r + 0*r + 2 + (-5 + 3 + 3)*(-2*r - 4*r + 5*r) to s + q*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -544 = -5*g - 2*l - 194, -5*g + 330 = -2*l. Which is the second biggest value? (a) g (b) 0.8 (c) -5\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9268 + -1487?\nAnswer: 7891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 287255213 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -78 - -160. Suppose -k = -5*s + t, -34 = -2*s - k + 2*k. Let b be 48\/(-72) - (-16)\/6*1. Calculate the highest common factor of b and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from hqhhqhkhkhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -3, -1, 4 in decreasing order.\nAnswer: 4, -2\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2305240 and 4034170.\nAnswer: 16136680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2*x + 83 - 13 = 0, -60 = -4*m - 4*x. Calculate the greatest common divisor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.44 - -0.34. Let u = k - -0.3. Let y = 1.6 + 3.4. What is the second smallest value in 3, u, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.85 and 0.54.\nAnswer: 1.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 3 q when four letters picked without replacement from {q: 5, y: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101011010010011010 (base 2) to base 11.\nAnswer: -280190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:55 PM and 5:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 5*x**2 + 5*x. Let b(g) = -11*g**2 - 11*g - 1. Let v be (1\/2)\/(7\/42). Calculate v*b(y) + 7*w(y).\nAnswer: 2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -33 - -103\/3. Find n, given that -2*n + t + 2\/3*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 15.545 + -4\nAnswer: 11.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.21441 rounded to three decimal places?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*d + 11. Let m(a) = 1 + 2 - a**d - 2*a + 2*a**3 - a**2. Let k be m(2). Calculate the greatest common divisor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - b = -57, -5*v + 59 = 2*b - 0*b. Calculate the greatest common factor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 4*s**3 - 43*s**2 - 11*s + 2. Let p be l(11). Solve -22 = -p*b - 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 157338676?\nAnswer: 2, 11, 23, 155473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - g + 9 = 0, -2*k - 3*g = 2*g + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13857.\nAnswer: 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of u**4\/6 - 62*u**2 - 1235*u. Let n(x) = 8*x - 3*x - 7*x. Calculate n(o(l)).\nAnswer: -4*l**2 + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1.604264 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d - 1. Let u(x) = 5*x - 8. Let v(f) = -14*f + 24. Let l(t) = 16*u(t) + 5*v(t). Let k(z) = -18*c(z) + 2*l(z). Determine k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*u**3 + 2440*u**2 - 81365*u - 933570 = 0. What is u?\nAnswer: -9, 46, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*u + 7*u - 6*u)*(-u - 4*u + u)*(-40 + 21 + 69) to q + j*u + v*u**2 and give v.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express o**2 + o**2 - 4*o + 5 - 5 as c*o + g*o**2 + h and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-22)\/(-55)*165\/(-2211)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -41766 or -12?\nAnswer: -41766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-20)\/5 + (0 - -10). Suppose -d*o = 4*o - 80. Suppose -6*t = -o*t + 8. Solve -16 = -3*g - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.2 - 0.2. Let v = -50 - -59. Which is the nearest to t? (a) 2 (b) v (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-41)\/42 + (-75)\/(-90). Let v = 6 - 1. Let a = v - 11. Put -4, f, a in ascending order.\nAnswer: a, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 7*n**2 + 2*n - 88. List the prime factors of d(-15).\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 times 17665.38\nAnswer: 176653.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 2.363?\nAnswer: -4.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (2 + -1 - (-49 - -33)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 98\/11 - 2\/11*m**3 - 126\/11*m + 30\/11*m**2 = 0. Calculate m.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**19*k**14)\/(k**(2\/19)*k**10))**(-46) assuming k is positive.\nAnswer: k**(-20010\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-7 - -13)\/((-1)\/((-2)\/(-2))). Let z be (-9)\/(-3) - q\/1. Suppose 0 = -4*w + z + 23. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 6 = -d, -50*d + 2*m + 120 = -180 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 11430 (base 5) to base 8\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6)\/(-18))\/(1\/357). Solve 0 = 21*h + 35 - n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/1*11*(-16)\/88)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 4*b = -6*b + 2364, -3*b - 2966 = -5*w. Suppose -2*l + 1169 = -4*n + 3*n, w = l - 3*n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 3*n = -1, 23*n = a + 20*n + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(1\/9)\/t)**(-3\/38) assuming t is positive.\nAnswer: t**(-1\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 4*v - 3. Let m = 14 - 22. Let s = -11 - m. Give h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4d65 (base 14) to base 7\nAnswer: 54455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -4*d**2. Let f(l) = 552*l - 2 + 266 - 264. Calculate f(p(h)).\nAnswer: -2208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11141*v**3 - 61*v**2 + 138*v**2 - 11157*v**3 - 77*v**2.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -6797927, -6797929, -6797933, -6797939, -6797947, -6797957, -6797969?\n\"Answer: -j**2 + j - 6797927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -324 and -2578.\nAnswer: -2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 AM and 8:05 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 5*f + 340 + 48, -5*f = 2*j - 194. What is the derivative of 113*m - j*m - 45 - 17 wrt m?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 12\/13, -1\/7, -1\/3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153*g**3 + 6*g**2 + 152*g**3 - 2*g**2 - 591*g**3 + 102*g**3 + 67*g**3.\nAnswer: -117*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-nine fifths of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*a**2 - 11*a**2 + 63*a**2 - 14*a**2 - 15*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 + 3*k + 14 - 15)*(-k**2 + 3*k**2 + k**2) to f*k + a*k**2 + x + q*k**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/v**(-9)*v\/(v\/(v**(-7)*v))*v\/(v*v*v**(1\/15)*v*v)*v\/(v*v\/(v*v**20)) assuming v is positive.\nAnswer: v**(314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oofoe. What is prob of picking 1 o and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/11))**(-1\/5))**(-1\/43)\/(p\/(p\/(p\/(p*p*((p\/(p*p*p*(p\/(p**10\/p))\/p*p))\/p)\/p*p)))*(p*p**16\/p)\/p)**(-15) assuming p is positive.\nAnswer: p**(319273\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (25 - 106 - 4)*(5*x**2 - 3*x**2 - 4*x**2)*(3 - 106 - 13) to the form i*x + y*x**2 + g and give y.\nAnswer: -19720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16 - -12. Let h be 8\/(-7) + x\/(-28). Let o = h + 7. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 940365038?\nAnswer: 2, 71, 463, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -15, -3, 4, -56, -1 in descending order.\nAnswer: 4, -1, -3, -15, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1.88, -1574, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.05, 15819\/280, 2\/3.\nAnswer: 0.05, 2\/3, 2, 15819\/280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 1\/3, 807504, -1\/15 in increasing order.\nAnswer: -0.2, -1\/15, 1\/3, 807504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 2*r = 10. Suppose 0 = -f - p + 7, f - p = 1 + 2. Suppose -r*u - 5*s = -u - 215, s + f = 0. What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -104 = -3*s - 5*z, -5*s - 224*z = -219*z - 110 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72\/(-14)*3\/(-6))\/((-318)\/408100*-55).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -672 + 1105. Let p = -427 + v. Sort 2, p, 10.\nAnswer: 2, p, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(1\/4))**(-23)*(((o*o**0)\/o)\/o)**28 assuming o is positive.\nAnswer: o**(-227\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-2)\/14*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -103 divided by -508.\nAnswer: 103\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - r - 28 = 0, 0 = 2*p - 0*r - r + 14. Let z = -6 - p. What is the first derivative of 3*o - 3*o - z + 2*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of 59\/96*o**4 - 1\/120*o**6 + 0*o + 57*o**2 + 0 + 1\/2*o**3 + 43\/240*o**5. Factor r(m).\nAnswer: -(m - 12)*(m + 1)*(4*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46\/23*(-2067)\/(-106)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*p + 3*p + 1650 = 35*p. Suppose -3*l - 2*l - 5*a = -125, -l + 4*a = -15. Suppose -l*n = -p*n + 8. Solve o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -9\/2*m**2 - 1\/15*m**3 + 1\/30*m**4 - 1\/150*m**5 - 10 + 0*m. Let j(g) be the second derivative of r(g). Factor j(y).\nAnswer: -2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -119 + -83 + 197 + (0 - -79)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22607780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3334 + 760151\/228. Let m = -113\/228 + j. Which is the nearest to -4? (a) 1 (b) 3 (c) m (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y. Let q(a) = 3*a + 46. Let z be q(-15). Let u(o) = -z + 1 - 15*o - 5*o. Calculate u(c(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 7\/9, 1.3, -4\/5, -4, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 13) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 - 79*w**2 + 24*w - 1879. Let t = 236 - 136. What is the remainder when t is divided by h(79)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 3*h**3 - 2587*h**4 - 55*h - h**2 + 2589*h**4 - 21*h to s*h**3 + r*h**4 + v*h**2 + j + a*h and give a.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-2)\/12*(-54)\/60?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -175.6 and 53.\nAnswer: -9306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 320 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7602 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6540 + -192. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, a: 1, z: 3, j: 1, h: 5}. What is prob of sequence oa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 840 - 839 - (-1 + 10 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 18.7*-8\nAnswer: -149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 63888.34t in kilograms?\nAnswer: 63888340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.17 - 0.83. Let o = 0.029 - 25.029. Let y = o + 25.5. Which is the biggest value? (a) x (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4*5\/8)\/((-1)\/(-2)). Put 0.2, -1\/18, p in ascending order.\nAnswer: p, -1\/18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1845 and 585?\nAnswer: 23985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 140 - 41. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -24 at least -1282796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (10734*m**2 + 111350 - 111350)*(-m + 0*m - m) in the form w*m**3 + h*m + r*m**2 + q and give w.\nAnswer: -21468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.4, -4, 15.\nAnswer: -4, -0.4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/14 and (228\/140 - 3)*5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 7*k**3 - 15*k**2 + 15*k - 14. Let g(o) = -o**3. Let n(t) = 6*g(t) + v(t). Let j be n(14). Suppose -4*i + 5 + 63 = j. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 42*z + 7 - 4 + 36*z - 76*z - 1. Determine y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3167\/15 - -1109\/5. Factor -c - 2\/3*d**2 + 16\/3*d.\nAnswer: -2*(d - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 3*s - 4*q - 24, 3*s = 5*q + 27. Let h = s + -7. Let c = -2 + 1. Sort c, -2, h.\nAnswer: h, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence whh when three letters picked without replacement from hhhhhhwhhhhhhwhhhhhh.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 58*n + 5794 - 5794 + (-5 + 4 + 0)*(4 + 2*n - 4) + (0 + 2 + 0)*(n + 3 - 3) to g*n + a and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * -0.08966.\nAnswer: 0.04483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -788*d + 785*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 709886 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -3*s - 12. Suppose 28 = -5*u + 3. Let a be h(u). Solve 0 = k - 0 + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236404 is divided by 33417?\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2987 is divided by 250.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 4*t - 8, b - 2*t - 11 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 6*l. Let a = 32\/51 - 5\/17. Let q(u) be the second derivative of 7*u + a*u**3 + 0 + 0*u**2. Calculate q(h(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4787137 and 2787.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.9 times 0.36\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 75, -33, -2\/11, 1, 2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 102813, 3.6, 4\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*d = 2*d - 174458 - 39442. Does 75 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 552 a factor of 17940463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 9*m - 66. Let r be m*4\/(-3 + 39)*-60. Let k = r - -93. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 11*c - 7863 = -n, -3*c = -5*n - 4701. What is the common denominator of (0 + -1)\/(3\/150) and (c\/(-45))\/4 - (-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 514909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 974920246 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2660 divided by 20.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 138898*a**5 - 3*a**4 + 62*a**2 - 13416*a wrt a?\nAnswer: 8333880*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 2*f - 2. Let n be l(2). Suppose n = t - 4. What are the prime factors of t\/(-4)*(-42)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 1, -25, -721.1?\nAnswer: -721.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of -4 + (-1515)\/(-12) - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -40 + 44. Let q(y) = y**2 + 5*y - 2. Suppose 5*h + 5*g = -61 + 6, h + 1 = g. Let p be q(h). Calculate the greatest common divisor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2177 (base 10) to base 16\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 - 6. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -27682, -27655, -27582, -27439, -27202?\n\"Answer: 4*x**3 - x**2 + 2*x - 27687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -194368 at most as big as -194368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*s**3 - 4*s**3 - 2*s**3 + 2*s**3 + 3*s**3 - 3*s**3 + (-5*s - 1 + 1)*(-9*s + 9*s + 4*s**2) - 5*s**3 + 5*s**3 - 2*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -121*p**2. Let l(z) = 665*z**2 - 98*z + 49. Let c(q) = 109*q**2 - 16*q + 8. Let u(b) = 49*c(b) - 8*l(b). What is u(y(v))?\nAnswer: 307461*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 132069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -824 - -821. What is the fourth biggest value in f, -2\/31, 5, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*a**2 + 7*a**2 + 5*a**2 - 22*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**2 - 1. Let g be k(5). Suppose -g = 5*t - 3*x + x, t + x = -14. Let w = 2 - t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23104627 to the power of 1\/2, to the nearest integer?\nAnswer: 4807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 w when four letters picked without replacement from jwwwwjj?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -38055564 divided by -240858\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -62215 or -62212?\nAnswer: -62212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-1 + -1)*1430\/(-1560) + (-2)\/4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -11*l + 76. Let g(y) = 2*y. Give -5*g(b) - p(b).\nAnswer: b - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 2651 = -18373. List the prime factors of d.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 78*i**3 - 2*i**2 + 2*i - 1. Suppose 0 = 3*l - 3*h + 9, 4*h = -2*l - 0 + 18. Let k be s(l). What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*v - o = 82*v + 582, v - 204 = 2*o. Solve -64*b + 128 = -v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3012122 + -0.08751441?\nAnswer: 3012121.91248559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-42)\/54)\/((-2)\/(-30)) and 12\/(-120)*24*(-18)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-4)\/4)\/((-1)\/4). Suppose 3*a - 5*q + 25 = 0, 4*q - 5 = 2*a + 15. Solve -3*g + 5*g + y = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of -5*d**3\/3 + d**2\/2 - 5*d - 1. Let l(u) = -11*u**2 + 3*u - 11. Give -3*l(n) + 7*r(n).\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (22\/12)\/(-2 + (-156)\/(-63)) and 7\/125.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-60)\/(-14))\/(425\/1190). Calculate the highest common divisor of l and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27358769 divided by -4?\nAnswer: -27358769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lgk when three letters picked without replacement from ekdeeeeddlelkdgd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 - -20. Let t be 2\/a*(4 - 4). What is the closest to t in -1, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 - 3) + 4 + 3 + (-4 - 0). Let r(y) be the first derivative of -19*y + 15 + 0*y**2 + u*y**3 - 5\/4*y**4. Find the first derivative of r(w) wrt w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 - 29*g**2 + 96*g + 3. Let w be n(-32). Suppose -r + w*j = -489, 22*r = 18*r + j + 1912. What is the remainder when r is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/440 and 61\/275.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12622541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/6084 and 42\/793.\nAnswer: 371124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -54*j**5 + 690*j**4 - 8444*j**3\/3 + 10196*j**2\/3 + 2590*j\/3 + 50 = 0 for j.\nAnswer: -1\/9, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 62 + -247\/4. Put -5, -0.5, b in decreasing order.\nAnswer: b, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -3*b**2 + b - 1. Suppose 0 = 14*i + 10 + 32. Let a be (-2)\/i*1*(-12)\/(-4). Determine h(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 60*w**4*z**2 - w**4 - 2*w**2 + 2*z**2 + 421*z with respect to w.\nAnswer: 240*w**3*z**2 - 4*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -45 + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the first derivative of -18 - 5*j**2 + 1\/3*j**3 + 24*j. What is the smallest common multiple of p(8) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) - (sqrt(117) + 1)) + ((sqrt(13) - (sqrt(13) + sqrt(208))) + sqrt(13) + -5)**2 - (-5*(sqrt(117)*-1)\/sqrt(9))**2) + 3 + 5.\nAnswer: -176 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)\/(sqrt(490)*3 - sqrt(10)))**2*-5*-6.\nAnswer: 33\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -168, -1676, -4108, -7458, -11720, -16888?\n\"Answer: z**3 - 468*z**2 - 111*z + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*h - 197*h - 1 + 3 + 124*h - 106*h.\nAnswer: -257*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2688, -2997, -3306, -3615, -3924?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/5, -11, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -617 * 0.3\nAnswer: -185.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 5)*(1 - 1 + x) + 3*x - 38 + 17 + 23.\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) 478 (b) -23\/96 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 1854 + -5.\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + z = 5*s + 9, 13 = 5*z - s. Let t be 11 - z\/4*-2. Suppose x - 15 = -m, -3*x - 9*m + 42 = -5*m. Calculate the highest common factor of t and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 61 + -17. Suppose 0 = 4*k - 68 - z. Let t = k + 28. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/3792 and -91\/18.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*1*2\/(-4). Let d be (-2)\/y*(-6)\/4. Is -2 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kuu when three letters picked without replacement from {a: 1, u: 2, w: 1, t: 3, k: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 882 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 - 1. Suppose 0 = y + 4 - n. Let m(g) = 2*g - 2. Let z be m(2). Sort y, z, 3 in descending order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/x**(-5))\/x**(-7))\/(x*x**(2\/5)*x*x**5\/x) assuming x is positive.\nAnswer: x**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 584 + -1753\/3. Let b = 0.0915 - 0.5915. Let m = 3.5 - 3. What is the nearest to 0.5 in u, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 66696.\nAnswer: 2, 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -12? (a) 8\/131 (b) 3 (c) -3\/4 (d) -2 (e) -4 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 51988189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3244907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w - 1228 = 8780. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 68 and -264423860974.\nAnswer: -264423860906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 4 = 2*g. Differentiate g*d + 25*d - 13*d + 23 with respect to d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in 2*s**2 + 12269780*s + 18818437656050 = 0?\nAnswer: -3067445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 375 + -371. Suppose 5 = -b + 1, 67 = 3*a - x*b. Solve a = -3*o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1*1 + 54\/30 + 0. What is the closest to 0 in 0.5, b, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -198 divided by -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of -g**4\/12 - g**3\/2 - g**2\/2 + g. Suppose 6 + 1 = n + 2*u, 5*n + 3*u - 21 = 0. Let t be ((-2)\/n)\/(3\/9). Determine k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35074472 and 2951812?\nAnswer: 596266024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 670*d = 665*d + 80. Calculate the highest common factor of 272 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(350)*-6)\/sqrt(7).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from brrcv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - z + 1. Let f(n) = -n**2 + 2*n + 12. Let y be f(5). Let x(r) = -r**3 - r**2 + r - 1. What is y*w(o) - 3*x(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -55*j + 54*j + 5995. Let t = j - 3518. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes after 9:29 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1*10\/1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/15)\/(3\/(-9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 8:12 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by 35798.\nAnswer: 1\/35798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 359\/7729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 705778319 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -215 = -6*i + 1315. List the prime factors of i.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 60 - 301 = -4*g, 297 = 5*g - 3*i. Suppose -o + 11*o = g. Find v such that -17*v**3 - 2*v**4 + 10*v + o*v**4 + 7*v**3 + v**4 - 5*v**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 74*p + p = 750. Solve 37*u = p*u - 216 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 134 - 11?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -208, -6, 23, -1, 1 in decreasing order.\nAnswer: 23, 2, 1, -1, -6, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 3*t**5\/5 - 2*t**2 + 2. What is the second derivative of r(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -114*y**2 - 6*y + 3. Let v(p) = 115*p**2 + 4*p - 2. What is 2*b(j) + 3*v(j)?\nAnswer: 117*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -7. Calculate the highest common factor of 35 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 281 = -142*c + 707. Let q(o) be the third derivative of -3*o**2 - 1\/24*o**4 + 0 + 0*o + o**3. What is q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -60633465544612 - -1.\nAnswer: -60633465544611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from rllaalrarrl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 - 47 - 18 = -11*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = 2*s + 12, 9*s = -m + 7*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of 4*r**2 - 6. Let f(o) = o**2 + 3. Let k(d) = 2*d**2 + 7. Let j(y) = 7*f(y) - 3*k(y). Determine j(q(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of (3\/6)\/((-6)\/(-4596))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -89, -172, -255?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 16*i**5 - 69508*i**4 - 260816*i**3 - 278260*i**2 - 52184*i + 34784 = 0. Calculate i.\nAnswer: -2, -1, 1\/4, 4348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -4*z + 5*a - 4*a, -5*a - 20 = 2*z. Suppose z*q + 303 = q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 50 + -76 + 31 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 164*p**3 + 6*p - 6*p.\nAnswer: 164*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 5, e: 2, y: 3, h: 1, u: 1}. What is prob of sequence hygu?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 - -48. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-2*x - 3*x + 7*x)*(-13 + 9 + 49) + x + 0 + 0)*(-2*x**3 - 1 + 1) to the form k*x + o*x**3 + u*x**2 + s*x**4 + g and give s.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1649 and 8633.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 629230 and 8849715?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 855\/(-14) - (-1090)\/15260\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -694*o - 40578 = 509*o - 10503 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 4*r - 36223, -4*d + 5*r - 2*r - 28979 = 0. Let n = d + 13847. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 + -0.2. What is the nearest to f in 5, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, q: 1, g: 1, v: 2, c: 1, n: 1}. What is prob of sequence vn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -19*w + 115. Calculate u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41057?\nAnswer: 41057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -479.1 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -4448*i + 62284. What is u(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = 4*q - 30. Let d(m) = 6*m - 35. Let p be d(q). Solve -4*v + p - 17 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 2 - (20 - (34 - (1 + -7)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) -0.2 (b) -4 (c) -2154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9865, 9898, 9931, 9964?\nAnswer: 9997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 4652 divide 76027636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/18 or -4751\/10?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4654 - -14?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/387223 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3754 + 3758. Solve -j*q = 16 + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 2*q - 11. Let d(r) = -4443202*r. Calculate k(d(f)).\nAnswer: -8886404*f - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -707136, -707127, -707104, -707061, -706992?\nAnswer: -706891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 517266.66 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00197 times -52.58?\nAnswer: -0.1035826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.015 - 0.076. Let l = t - -0.121. Put 2\/11, l, -3, 2\/9 in decreasing order.\nAnswer: 2\/9, 2\/11, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 3*p**2 - 6*p - 1. Let t = 13 + -16. Let l(y) = 2*y**2 - 6*y - 2. Suppose 3*q + 4 = 4*r, -18 = -4*r - 2. Let u(s) = q*l(s) + t*w(s). What is u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12725, -12259, -11795, -11333, -10873, -10415, -9959?\nAnswer: -9505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 4000914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/7438886 and 109\/602.\nAnswer: 319872098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 9*i + 2. Let p be 1\/(-12)*3*-4. Let a(u) = 1145*u - 1149*u - 1 - p - 3 + 4. What is -5*a(s) - 2*f(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + 4*(sqrt(143) - (sqrt(143)*2 + sqrt(143) - sqrt(143))))) + -1*1*sqrt(143))\/(sqrt(11)*2*-2*-2).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -5*q + 8. Let r be ((q - 2)\/2)\/(-1). Suppose r*c = c, -4*u - 2520 = 2*c. What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -17, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -32112303 + -122?\nAnswer: -32113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 273 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 183 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + j + 81 = 1, -4*j - 145 = 5*h. Put 2, h, -16 in ascending order.\nAnswer: h, -16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 60 and 350718.\nAnswer: 3507180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -2\/27, 1\/6, -4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 11:39 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 55045 and 327?\nAnswer: 165135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (11 - 12)*(-1)\/(-2). Suppose 2*t + 12 = 5*t. Suppose -2 = t*z - 10. What is the third biggest value in 1, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 157 + -153. Calculate the smallest common multiple of g and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 12 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 4*w**3 + 31*w**2 - 12*w + 35. Let o be (4\/8)\/((-3)\/(-12)). Let b(q) = q**3 + 8*q**2 - 3*q + 9. Let t(g) = o*u(g) - 9*b(g). Is t(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 655 - 648. Let y(a) = -3*a - 9. Let k(f) = -f - 4. Let o(x) = -5*k(x) + 2*y(x). What is o(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -34 + 58. Let s = 33 + f. Let y = s - 56.9969. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2325*c**2 + 4*c**4 + 2*c + 3 + 2323*c**2 - 1 to the form u*c**3 + v*c + h + x*c**4 + f*c**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -285.8 + 301. Let y = 13.1 + 1.9. Let t = g - y. Put -2\/9, -3, t in descending order.\nAnswer: t, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.015202 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/30 and -101\/26700.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h - t - 27, 3*h - 4*t + 5*t = -43. Let j = 18 + h. Suppose -43 = -d - d - q, -28 = -j*d - 4*q. What is the smallest common multiple of 36 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uxxuxxxxxxxxux. Give prob of picking 2 u and 1 x.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -163 times -0.1?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 10 less than 13.35?\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -28918, -2, 241, 1\/6 in increasing order.\nAnswer: -28918, -2, 1\/6, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8198099 and 585?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 45373679 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.12754 times 0.3\nAnswer: -0.038262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82564?\nAnswer: 2, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 - -30. Let t(f) = -33*f**3 - 3*f**2 + 21*f. Let h be 4\/(-18) - (-94)\/18. Let x(z) = -8*z**3 - z**2 + 5*z. Let g(l) = h*t(l) + r*x(l). Factor g(w).\nAnswer: 3*w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*x + 38 = -1459*r + 1457*r, r + 5*x = -8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 71864432533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r - 19*r - 5*c + 65 = 0, -20 = -r - 2*c. Calculate the smallest common multiple of r and (-9)\/(-2)*(2 - 0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*o**4 - 8 - 5 - o**4 + 48*o**4 wrt o.\nAnswer: 196*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from zbbzzbbzbbzzbz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c + 5*t + 9 = 29, -5*c + t = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*-6647.99.\nAnswer: -39887.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17.9 + 14.202.\nAnswer: -3.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*1*sqrt(70))\/(sqrt(1000)*2).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -17*u**3 + 105*u**2 - 12*u - 6. Let m be r(6). Solve -t = -m + 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 25.999999 - 26. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -133786*q**2 - 65475 wrt q?\nAnswer: -267572*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56 = -13*n + 269. What is the remainder when n is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**2 - 19*w - 16. Let k be i(20). Solve 2*p - 4 - k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-16)\/(-9) + 4\/18. Suppose -4*q + 12 = i, 38*q - 36*q - 2*i - 6 = 0. Solve -p*m + 3 = -q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 12 (b) 0.08 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t*t**(-1\/3)))**(-1\/24)\/(t\/(t**(-1)*t))**(-1\/6) assuming t is positive.\nAnswer: t**(11\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttttxtttttttt. Give prob of sequence tt.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 3*n = -2*n - 7*n. Solve p = -5*d - 1 + 5, 3*d - 5*p - 8 = n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (86\/3913)\/((-2)\/14).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2120*s = -5118*s + 35976 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {n: 4, c: 1, b: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/8*(-27)\/3402*36.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -7. Let h = 0 + t. Let l be (7\/(-2))\/((-189)\/162). What is the closest to l in h, -1, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2369 is divided by 785?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/25))**14*(f**(11\/3)\/f)\/(f**(-2\/75)\/f) assuming f is positive.\nAnswer: f**(361\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -34 - -48. Calculate the remainder when 24 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -3 (b) -0.1 (c) -348\/11 (d) -5 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -96.2254 times -4?\nAnswer: 384.9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 35.82755 + 0.17245. Let j = 49\/2 + -24. Which is the nearest to n? (a) j (b) -0.4 (c) 4\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -24, -54, -100, -162, -240?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.103 and 11?\nAnswer: 11.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*p**3*z**3 - 5*p**3*z + 42*p**2*z + 20*p*z + 2008*z**3 wrt z.\nAnswer: -24*p**3*z + 12048*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (30 + -2 - 28) + -1 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1110011 (base 2) in base 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1840 - -1840. Let k(x) be the third derivative of 5*x**2 + 0*x**3 + 0*x - 1\/105*x**7 + 1\/6*x**4 - 1\/30*x**6 + b + 1\/30*x**5. Factor k(f).\nAnswer: -2*f*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/14664 and 1\/24.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -2203817772 by -4.\nAnswer: 550954443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 15) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1365284412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -700 by -50.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((-5)\/65*-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21\/(-4))\/7 - 17*(-767)\/4420.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - o - 0*o + 44, n - 4*o = 11. Suppose 51 - n = 2*p. Let s be 4\/p + (-48)\/(-10). Let r(k) = k - 10. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the first derivative of -h**4\/4 + 4*h**3\/3 + h**2 + 2*h + 2. Suppose 316*q - 1395 - 257 = -388. Determine p(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39 + 38. Let n = -0.22 + 1.12. Let c = r + n. Sort c, 2\/17, 2.\nAnswer: c, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in sixty-seven quarters of a microsecond?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 28*d**2 - 6*d + 3. Let l be h(1). Suppose -l*w + 60 = 5*w. Solve 9*o + 7 = w*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a**2 + 10*a - 13. Let i be u(-9). Let b = -36 + i. Suppose -5*x + 32 = -x. Solve 2*p - x = 0, 5*n - b = -5*p + 3*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -91*-0.4\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/((-48600)\/60)*3\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 118*x + 19. Let t(b) = -2*b + 6. What is n(m) - 3*t(m)?\nAnswer: 124*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, 2, 4, 1771 in decreasing order.\nAnswer: 1771, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1264397 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i = -624 - 1376. Let v = 383 - i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -3*l + 26. Calculate m(-16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 248\/18 + 2 + (-8)\/(-36). Suppose -6*f + k = -8. Find the second derivative of -60*v**f + 60*v**4 - 28*v**5 + 4*v - 14*v wrt v.\nAnswer: -560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 1\/11 (c) -1\/6 (d) -231 (e) -5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -0.5 (c) 1 (d) 8 (e) -8\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 20311 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -0.2 (b) 0.1 (c) -162376 (d) -3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 0 - 3)*(2*f**4 - f + f) + (-f - 4*f + 4*f)*(97*f + 83*f**3 - 97*f) to the form n + s*f**4 + v*f**2 + k*f + c*f**3 and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 276 = -h + 4*a, -4*h - a = -296. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 - 8*i**2 - 17*i + 12. Let l be q(9). Is (-29595)\/l*(1 - 3)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.223 and 1.36519.\nAnswer: 1.58819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -34, 5, -5 in decreasing order.\nAnswer: 5, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -8.1, -4, 5, -1\/4 in descending order.\nAnswer: 5, -1\/4, -4, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -5*l - 22. Let k be -2 + -1 - (-344 - -335). Give j(k).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 9 = -3*i, -3*i = 2*i - 3*a - 13. Let y = 3 + i. Suppose y*m - 222 = 33. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 - 6*v - 39. Let n be d(-6). Let m = -21 + 37. Is 6 a factor of (24\/m)\/(n\/(-36) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7 + 7. Let o = 205 + i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 16*u - 76 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/3*((-36)\/(-3))\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (12\/(-10))\/(3\/(-10)). Solve 2*i + i - r + 13 = 0, -31 = 5*i - f*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18.1490882 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2858820 and 1044?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2386 is divided by 560?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/101, -4, 47?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 2*i**3\/3 + 364*i**2 - 2950*i + 7756\/3 = 0.\nAnswer: -554, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -8*b**2 - b - 2. Let c be n(-2). Let f be (3 + (-5 - -3))*35. Let v = c + f. Solve 2*s + t = 2*t - 6, 0 = -2*s + v*t - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1949 - 927 = 3*x - m, 8 = 4*m. Let c = 1000 + x. Calculate the remainder when 68 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 36 - -10. Let v = n + 13. Suppose 11*p = 16*p - 150. Calculate the remainder when v is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -300479304 divided by -12?\nAnswer: 25039942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 + -26. Let v = -3 - -3.2. Let t = -2 + 6. Which is the closest to v? (a) -1\/6 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (11 - 5 - 6)\/(-1). Solve -2*j - 6 - 2 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, -2, 3\/7, 791\/4, -0.2.\nAnswer: -2, -0.2, 3\/7, 29, 791\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 13202122222 + -2?\nAnswer: 13202122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -31*k**3 - 845*k**2 + 5*k + 845*k**2 - k**3 - 2*k**3 + 5*k**3 + (-1 - 1 + 1)*(-k**3 + 0*k + 0*k) + 0*k**3 + 0*k**3 - k**3.\nAnswer: -29*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*y = -5*s + 379, 5*s + 376*y = 375*y + 384 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1404, 5606, 12606, 22404, 35000, 50394, 68586?\nAnswer: 89576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 173832 - 19664 = 2753*f for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/(-2)*88\/(-44)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o**2)\/o)\/o)\/o*o**5*o*o\/(o*(o*o\/(o\/o**(1\/2)))\/o)*o**(-2)*((o\/o**(-7))\/o**(3\/2))\/(o**(-4\/7)\/(o\/o**(-4))) assuming o is positive.\nAnswer: o**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 101856 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**24*i**29)\/((i*i*(((i\/i**(-29)*i)\/i)\/i)\/i*i)\/(i**(-1\/24)*i)))**30 assuming i is positive.\nAnswer: i**(2755\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + 2. Let l(m) = -2*m - 4. Let w be l(-3). Solve -w = y*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.5 - -1. Let k = p - -0.5. Let a = k - 1.8. What is the closest to 1\/3 in -2\/23, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11952940 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 36 (b) -0.4 (c) -5 (d) -2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - 3*r**2 - 6*r + 5. Suppose -4*d + 4*m = -12, 1 = 3*m + 4. Suppose -9 = -h - d*h. What is the lowest common multiple of h and x(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 6*l**2 - 2*l - 8. Let g be (-5)\/(-20) + (-25)\/4. Let u be f(g). Suppose u*j - 1591 = -a, 2*a - 383 = -2*j + 417. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12.91 - -13. Let i = d + 0.21. Which is the closest to 2\/5? (a) i (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6840 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 - 3*f**2 - 5*f - 2. Suppose -5*a + 53 = 3. Suppose -3*l - 5 = -4*o, -2*o - o + a = -l. List the prime factors of i(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of 3*j**5\/5 + 6*j**4 + 9*j**3 - 57*j**2 - 120*j - 800. Solve x(l) = 0 for l.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4 + 3 - -1) + 1. Let d be (-96)\/(-56) + 2\/7. Sort 4, d, k.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.229 - -0.071. What is the biggest value in -0.2, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b + 3 - 3)*(0*b + 3*b - 5*b) - b**2 + 2*b**2 + 35*b**2 + (-3*b**2 - 40 + 40)*(2 - 3 + 0).\nAnswer: 35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-6)\/(-5))\/(71\/(-4970)). Sort -1, n, 6.\nAnswer: n, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4684571 is divided by 275561.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 1336894*k**3 + 1336954*k**2 + 60*k.\nAnswer: 2*k*(k + 1)*(668447*k + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 18501036*b**3*o + 1920*b**2*o - 4554*o wrt b.\nAnswer: 111006216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmc when three letters picked without replacement from {m: 2, c: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 144 divide 7508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2*k**2 + 12*k - 6. Calculate t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -450 (base 7) in base 6?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -20 + 28. Let w = -6 + l. Suppose 0 = -5*a - z + 7, -w*z = 2*a - 0*a + 2. Solve -a*v + 5 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(3\/19))**(-13\/3))**(12\/11) assuming y is positive.\nAnswer: y**(-832\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 - 6*u**2 + 6*u - 5. Let a be j(5). Which is smaller: a or 4\/23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 PM and 4:14 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-204)\/(-96)*8 + (1 - 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1240 + -1240. Find d, given that 1\/3*d + m - 1\/6*d**3 - 1\/6*d**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (12 + -13 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2 (b) -5 (c) -0.12 (d) 1 (e) 426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 16 + 14. Suppose -2*j = -q*s + 62, 119 = -5*j - 9*s + 5*s. Let n = j - -63. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-33)\/198)\/(2 - (-37)\/(-18)). Which is bigger: p or 45\/14?\nAnswer: 45\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 10*r**3 + 28*r**2 - 16*r - 15. Calculate d(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 2 + 14 - 4 - 5 + 78*y. Let a be u(7). Suppose g = -f + 147, -5*g - 4*f + 184 + a = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 5:27 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.151 + -2.6.\nAnswer: -2.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 118471110 to the nearest one million.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 116.9 plus 0.2903979?\nAnswer: 117.1903979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that -2*f**5 + 466*f**4 - 3192*f**3 + 6344*f**2 - 3616*f = 0.\nAnswer: 0, 1, 2, 4, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -l - 462. List the prime factors of l.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1401 - 161. Let p = -692 + y. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000277853024 rounded to six decimal places?\nAnswer: -0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**2 + x - 1. Let c be z(-3). Let f(y) = -y - 8. Let d be f(-4). Let j be (-3 + 2)*-1 - d. Solve -j = p + 4*v, c*p + v + 6 = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 48 - -231. Let x = l - 282. Which is the smallest value? (a) x (b) 4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 3*i**2 - 1. Let x(d) = 59*d**2 + 2. What is p(x(z))?\nAnswer: 10443*z**4 + 708*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 240*q - 1. Let a(g) = 826*g - 3. Let s(w) = 4*a(w) - 14*u(w). Let i(b) be the first derivative of 4*b**3\/3 + 10. Give s(i(n)).\nAnswer: -224*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the third derivative of 1\/24*a**4 - 3*a**2 + 0*a - 2\/3*a**3 + 0 + 1\/60*a**5. Let q = -399 - -396. Determine t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13673\/(-4972) - 90\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 185 and 440485.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 0 = -i + 15, 20 = 5*i + 4*w. Suppose i*t + 5*t = 0. Suppose 0 = -n - 4*b + 13, -6*n - 7 = -n - 4*b. Put t, n, -1 in decreasing order.\nAnswer: n, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55519 is divided by 424?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -41*i**2 + 5*i - 4. Let g(w) = 90*w**2 - 11*w + 8. Give -13*b(a) - 6*g(a).\nAnswer: -7*a**2 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a + 13. Suppose k + 8*y = 3*y - 8, -4*k + 3*y = 55. Let g be r(k). Solve -o + g*o + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(1573) - sqrt(1573)*2)*-6.\nAnswer: 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 PM and 6:08 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 179383386 divided by 22658\nAnswer: 7917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 10120133222 (base 4) to base 6\nAnswer: 40343002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1101 (base 2) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17743937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12099631?\nAnswer: 17, 733, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 53, 31, -5, -32 in increasing order.\nAnswer: -32, -5, 31, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1748000 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -49.92, 1\/3.\nAnswer: -49.92, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is ((-24)\/6 + 3 - 1)*-18713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s - 2*s - s)*(-s**4 - s**4 + 0*s**4) - 3*s**5 - 14 + 14 + 4*s**3.\nAnswer: -5*s**5 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49499152.\nAnswer: 2, 787, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1*6*-2)\/(-1). Solve w = -k - 3*k - 2*j, j = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2. Let s(l) = 6*l - 126. Give 4*j(r) - s(r).\nAnswer: -6*r + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 29027.5003 - 29026. Let u = 1.5 - h. Round u to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 - 11*z + 30. Let q be g(6). Suppose -u + 6*u - 5275 = q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.1, -2.9, -0.3, -7, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3692421, 3692426, 3692435, 3692448, 3692465?\n\"Answer: 2*j**2 - j + 3692420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 221.19372 seconds?\nAnswer: 3.686562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + c = -16. Let x(n) be the first derivative of 1\/12*n**c - 1\/6*n**2 + 1\/15*n**5 + 0*n - 1 - 1\/9*n**3. Suppose x(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71 = 2*q + 5. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10215564 (base 7) in base 5?\nAnswer: 210032224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*((w\/(w\/(w**(-6\/11)\/w)))\/w)\/w*w)\/w)**46\/(w**(2\/81))**(3\/34) assuming w is positive.\nAnswer: w**(-358949\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69)\/(-180) + -9*(-14)\/(-504)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - 20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 - 16. Suppose 3*r - 5*m - 20 = j, r + 5*m + 23 - 3 = 0. Solve 3*c + r*c = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -a + 23*a + 0*a in the form x*a + y and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = -4*b - 2*d - 11, -3*d = b - 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:04 AM and 10:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 9361.62 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -6870, -12124, -17378, -22632?\n\"Answer: -5254*b - 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together -81013.376 and -425746.\nAnswer: -506759.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - 10. Let r = 11 + m. Find the third derivative of 9*f**3 - f**2 + r*f**3 + 0*f**2 wrt f.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) be the first derivative of -4*g**5\/5 + 32*g**4 - 120*g**3 + 176*g**2 - 116*g + 722. Find c, given that q(c) = 0.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.14225061 and 0.5?\nAnswer: 0.35774939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-9675)\/(-4128))\/((-1)\/(-32))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -68 + 33. Let a be (-10)\/b + (-26)\/(-7). Let c be (-6)\/(-27) + (-322)\/(-9). What is the highest common factor of a and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the second derivative of -2*r**3\/3 + 2*r**2 - 34*r. Let s = -31 - -21. Let g = s + 13. Calculate c(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514650 is divided by 10091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -875 + 157 = -5*a + 4*s, 2*a - 301 = -3*s. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 4 + ((-1 + sqrt(468) + sqrt(468) + sqrt(468)*2 - sqrt(468)) + sqrt(468))*-1 + (-6*(0 + sqrt(468) + sqrt(468)) - sqrt(468)) + -3*sqrt(468)*1)**2.\nAnswer: -1200*sqrt(13) + 187225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -288, -561, -796, -999, -1176, -1333, -1476, -1611?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + 6. Let j be (-600)\/9*(-3)\/c. What is the units digit of (108\/(-45))\/(6\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18072 (base 9) in base 12?\nAnswer: -7262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 362642980?\nAnswer: 2, 5, 7, 17, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 7:34 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/((-45)\/(-12)*(-46)\/207).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 27 - 32. Let x(z) = -3*z - 15. Let m be x(q). Solve -2*k = -m*j - 4*j - 10, 3*k = -3*j - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1224.17683 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 67384942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7399 is divided by 325.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 145 = -160. Suppose -d = g - 16. Let s be 2\/9 - (-40)\/d. Sort 4, 0, s in descending order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 1956429.3 hours?\nAnswer: 11645.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (18 - 26) - 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/18*(-1 + 10). Suppose c - 6*c + 145 = 0. Suppose -5*f = -3*r + c, -5*r - 1 + 0 = 4*f. Solve r*i = v*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 370*i - 373*i = -2*s - 13, 5*i + 37 = -4*s. What is the closest to s in -2\/11, 2.4, 6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(2\/13))**35 assuming y is positive.\nAnswer: y**(525\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -353*n - 53. Let d be v(-3). Suppose 3*h - 839 = d. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1100.2 - -1100. Sort -4\/3, -5, g, -0.35, -3 in descending order.\nAnswer: g, -0.35, -4\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 88106.58ml?\nAnswer: 88.10658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 332 - -331. Suppose -n - q = -5*n - 3*x, -n + 165 = x. Calculate the greatest common divisor of 48 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that 7*l**5\/11 - 695*l**4\/11 - 558*l**3\/11 + 5732*l**2\/11 + 6824*l\/11 - 2400\/11 = 0.\nAnswer: -2, 2\/7, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-15)*(1 - (-148)\/(-136))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-3*b**3 + 2*b**3 - b**3)*(-1 + 2 - 2) - 52*b**3 - 74*b**3 + 41*b**3)*(-5 + 0 + 3) in the form t + z*b**2 + g*b**3 + s*b and give g.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19 - -2) + 42 + -31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142 = -4*u - 2*s, -u + 3*s + 22 = -s. Suppose u*v - 25*v = 738. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -97 - -106. Which is smaller: n or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 207552?\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 16.255+4.049\nAnswer: 20.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-351)\/65 - (0 + -6). Put 0.1, 0, s, 2\/23 in descending order.\nAnswer: s, 0.1, 2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 109113 divided by -4\nAnswer: -109113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 6:02 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/m**5*(((m\/(m\/(m\/m**(4\/11))))\/m)\/m)\/m*(m\/((m*m**7*m)\/m))\/m**(-15) assuming m is positive.\nAnswer: m**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1230, -2462, -3694, -4926, -6158?\nAnswer: -7390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 127 + 403. Is (-1)\/((-3)\/(h\/(-4))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581.832 nanometers in kilometers?\nAnswer: 0.000000000581832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 1 = -3*x + 1, 3*x + 2*n = -2. What is the third derivative of -2*f + 4*f**2 + 2*f**2 + 3*f**6 + x*f wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = 4*w - 2*l, 21*w - 17*w - 3*l + 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(19) + -1 + 1) - -2*(2*sqrt(19))**2*-4.\nAnswer: -608 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 218 - 100. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.336 - 0.936. Which is the smallest value? (a) -16 (b) -2\/7 (c) m (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558386 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-88 + 88 + w + (-w + 0*w - w)*(5 - 5 - 2) - 2*w + 0 + 0)*(1 - 4*w**2 - 1) in the form n*w**2 + m*w**3 + d*w + j and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 673893564.\nAnswer: 2, 3, 56157797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 44.58297 months in years?\nAnswer: 3.7152475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-7) - (-12)\/224*-10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 23470 - 23470. Solve 31*x - 8*x + 69 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -2*g + 10, 0 = -w + 2*g - 6*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 400802 is divided by 3426?\nAnswer: 3386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 231711.\nAnswer: 3, 77237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (139\/(-556))\/(11\/88*-1*2\/37).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 185 is divided by 98?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x + 9. Let c = 11 - 6. Let a be o(c). Suppose -a*t + 0*t = -8. Solve -s = -t*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - 100220000211?\nAnswer: -100220000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57 - -64. Let y = v - -29. Suppose 0 = 2*c + 4*m - 64, -m = -4*c + 5*c - y. Does 40 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*r**4 - 196*r**2 + 616?\nAnswer: 8*r**3 - 392*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 1. Let n(k) = 5*k**2 + 8. Let j(a) = n(a) + s(a). What is the derivative of j(t) wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 128 + 269 + 2*d.\nAnswer: 2*d + 391","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q**3 + 7*q**2 + 3*q - 1. Calculate d(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0564300686 rounded to three decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2. Suppose 0*d - 18 = -6*d. Let k be -1 - (12*-1)\/d. Let s(h) = k + 11*h - 3 - 14*h. Give a(s(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let c = 154 + -153.19. Let j = c + -0.8169. What is j rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 5 (b) -0.4 (c) 1\/3 (d) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*u - 48*t + 46*t, -7*u + 3*t + 15 = 0. Let x = -3 + 0. Which is the closest to -6? (a) -0.5 (b) 0 (c) u (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 60922579 or 60922576?\nAnswer: 60922576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 34*m**5\/5 - 3*m**4\/4 + m**3\/6 - 15*m + 4. What is the third derivative of q(v) wrt v?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 234 - 118 + 259 = 148*s - 217 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 221 + -365. Let v = t - -144. Suppose 0 = 2*w + 3*w - 100. Solve -5*k = -v*k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 r, and 1 o when three letters picked without replacement from {o: 1, n: 2, i: 1, r: 1, s: 1, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 24755149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -504*q**2 - 9*q. Let c be p(-10). Let m = 1003 - c. Suppose -12 = 7*h - 4*h, -5*g - 3*h = -m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u**2 + 59*u - 1. Let p = 29944 - 29914. Calculate a(p).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5339987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 181062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-6)\/(l**(2\/23)\/l))\/((l*l**(-5)*l)\/(l*l\/(((l*l\/(l*l**(-3\/7))*l)\/l)\/l*l*l))) assuming l is positive.\nAnswer: l**(-405\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 4*z + 83328, -3*z + 8*z = 25. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/80 and -107\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of o**4\/4 + 2*o**3 - 12*o**2 + 21*o + 2361. Calculate l(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -3 + 0*i**3 + 0*i**4 + 1\/2*i**6 + 0*i**5 + i**2 + 0*i. Find the second derivative of l(x) wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1033.1 + -1033. Let z = -12 - -12. What is the nearest to r in z, -0.04, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21332 and 14313772.\nAnswer: 14313772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + ((sqrt(1053) + 1)*1 - 3*(sqrt(1053) + 2 - sqrt(1053)))*-3)**2.\nAnswer: -702*sqrt(13) + 9646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -291 by -49269.\nAnswer: 97\/16423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 6*n**2 + 4*n + 268. Let c(u) = -29*u**2 - 22*u - 1339. What is -2*c(z) - 11*g(z)?\nAnswer: -8*z**2 - 270","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 122495 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40, -84, -130, -178, -228, -280?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-six fifths of a century?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -2*r**2 + 98*r + 3332. Let v be o(72). Let h(p) = 20*p**2 - 1. Let g be h(-1). Solve g*x + v = 14*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -32519, -65042, -97565, -130088?\nAnswer: -162611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 159953885*o**5 + 295834102*o**2 wrt o.\nAnswer: 9597233100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 617 + -128. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 2:31 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/279349 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -289, -310, -333, -358, -385, -414, -445?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.55 + 38.45. Let l = m + -37. Let x be ((-16)\/10)\/(-5 - -3). Put l, x, 1 in decreasing order.\nAnswer: l, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 17144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -21*w**2 + 59*w**2 + 71*w**2 - 24*w**2 in the form f*w**2 + u*w + n and give f.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 243 - 231. Suppose 3 = h - 0*h. Calculate the greatest common factor of h and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-8)*32\/108.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1208562 - 1942484.\nAnswer: -3151046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (2 + -1 - 2) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -4755 and -1.3072.\nAnswer: -4756.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + 10. Let p(j) = -2*j**3 + 2*j**2 + 11*j. Let n(w) = -w**3 + w**2 + 5*w. Let z = 2 + -8. Calculate i*n(t) + z*p(t).\nAnswer: -t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000216932 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -308498*j**2 - 36*j - 161840818?\nAnswer: -616996*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 3*i = 594, -l + 137 - 19 = i. Let a = l + -84. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 88 + -58. Suppose -3*o + 206 = 2*j, 3*o - 257 = -3*j - 53. What is the lowest common multiple of l and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times -21582218.8?\nAnswer: -43164437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 18.5599 - 10.983?\nAnswer: 7.5769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 8, u: 3, k: 2, r: 3, s: 3}. What is prob of picking 1 s and 1 h?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 5781, 5810, 5907, 6108, 6449, 6966, 7695?\n\"Answer: 6*m**3 - 2*m**2 - 7*m + 5784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 9 - 9)*(0*l**2 + l**2 + l**2) - 2 - 18*l**2 + 2.\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7 and ((-12)\/(-5) - 2)\/((-12)\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (-2 + 0 + sqrt(288) - sqrt(288)) + -2 + sqrt(288)*1)**2.\nAnswer: -192*sqrt(2) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 385473340 and 12488?\nAnswer: 6244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9155, 18365, 27577, 36797, 46031, 55285?\nAnswer: 64565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19284, -22508, -25722, -28920, -32096, -35244, -38358, -41432?\nAnswer: -44460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-10)\/25)\/((-1)\/5). Suppose -5*w = -n*w - 237. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -324 + 165b7?\nAnswer: 16293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -3402 (base 5) to base 4.\nAnswer: -13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -50, -5, 16, 18.\nAnswer: -50, -5, 8, 16, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -5. Is q greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 25872.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4555 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 2 k when four letters picked without replacement from {z: 1, r: 4, t: 1, a: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjojjo. Give prob of sequence jjo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4 + 3*-2 - -1203. Suppose 0 = -2*u + o + 1029. Is u\/75 - (-6)\/45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -984*h**3 - 193*h**2 - 467340?\nAnswer: -2952*h**2 - 386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12 - (137 + 38 + -76).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -89 + 3a?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/(-15) - 4842\/(-45). What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -9. Let s = 34.4 + -34. Let d = -1.4 + s. Put j, d, -0.4 in decreasing order.\nAnswer: j, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -f + 20. Let d = f + -29. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -42985\/19 or -2261?\nAnswer: -2261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j**3 + 4*j**3 + j**3 + (j + 0*j - 3*j - 1)*(0*j**2 + 0*j**2 + 2*j**2).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -147849 divided by 6\nAnswer: -49283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*u**3 - 3785*u**2 + 17235*u = 0. Calculate u.\nAnswer: -383, 0, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 + 2*o**2 - 1. Let w be d(-1). Suppose w*q = -6, 2*t + 0*q = -2*q. Suppose 0 = t*g + 3 + 15. Is -6 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4*q**5\/5 + 3616*q**4\/5 + 17932*q**3\/5 - 43296*q**2\/5 - 129456*q\/5 = 0.\nAnswer: -899, -6, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18972966.\nAnswer: 2, 3, 241, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2\/3, 6.9, 0.046, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7902, 15623, 23138, 30345, 37142?\n\"Answer: -17*l**3 - l**2 + 7843*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 748513.2 millennia to months.\nAnswer: 8982158400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 1\/5, 170.9, -5 in ascending order.\nAnswer: -5, -0.3, 1\/5, 170.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence illi when four letters picked without replacement from {i: 13, l: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2 + 1316834*y - 433512945889.\nAnswer: -(y - 658417)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = -2*c + 5*d - 10, -3*c + d + 4*d + 8 = 48 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -1091*z - 4147. Calculate t(-4).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 32871922 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: Let w(s) be the third derivative of s**5\/20 + 71*s**4\/8 + 330*s**3 - 280*s**2. Suppose w(g) = 0. Calculate g.\nAnswer: -60, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 4*w - 4. Let m(q) = -q**3 + 6*q**2 + 41*q - 7. Let y be m(10). Let g(o) = 2*o - 2. Calculate y*b(t) - 7*g(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence olch when four letters picked without replacement from {u: 1, h: 4, l: 1, c: 1, o: 3, n: 5}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1066*k = 1070*k - 1156. What is the first derivative of 60*r + 64*r - k + 113*r + 130*r - 109*r wrt r?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1209 - 1208.9994952. What is l rounded to five dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1963 - 5?\nAnswer: 195b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 13 - (-44 + 33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.6, -11, -0.116, -44, 0.1, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 969 + -968.998045. Round j to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 82961089 to the nearest ten thousand.\nAnswer: 82960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 222377880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2208 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 + 3*m + 4781. Suppose -2 = -4*t + 3*w + 4, 3*w = -5*t - 6. Is i(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3227 and 461.\nAnswer: 3227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -44*o + 4 + 5 + 45*o + 3. Suppose 0 = 7*b - 3*b. Suppose i + b*i = 0. Determine f(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1848 and 49.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/4, 2.6, 14, -4, -3, 0.78?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-502)\/(-80) - 5824\/910.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 254 - 234. Is 11 a factor of ((324\/5)\/(-3))\/((-4)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*g**3 + 2*g**3 + 49*g**3 + 6*g**3.\nAnswer: 81*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 11436*g + 11414. Determine l(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -1179.560793 and 0.48.\nAnswer: -1179.080793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 8:44 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1 - 6)*(-1 - (-1128)\/40). Let o = 86 - m. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -13c + -a87?\nAnswer: -bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 5*k + 20. Let x(z) = -z + 10. Let l be x(4). Let s be f(l). Calculate the greatest common divisor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**3)\/c**5)\/((c\/(c*c**(1\/3)))\/c**6) assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of -29*z**4\/12 - 19*z**2 + 26*z - 34. Let d(j) be the first derivative of q(j). Differentiate d(m) wrt m.\nAnswer: -58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -4\/7 (b) 0.1 (c) -8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -210\/13 (b) -4 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -48*k**2 + 716*k + 11. Give z(15).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let h = -133571 - -788098. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of 0*p**5 - 4*p**2 + 0*p + 0 - 1\/3*p**3 + 0*p**6 - 1\/105*p**7 + 0*p**4. Differentiate h(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**0*b*b)**(-1\/8)*((b*b**(-1))\/b)**31)**(-26))**(-50) assuming b is positive.\nAnswer: b**(-40625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*m - 342 + 33 = 533 + 368 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 108745?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 615 + 1402?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 2*l - 28 = f, f + 2*l + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 12604 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 64871 is divided by 519?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 576 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 33704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7866037 centuries in months?\nAnswer: 943.92444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g**4 - 5980*g**3 + 29770*g**2 + 5980*g - 29775 = 0 for g.\nAnswer: -1, 1, 5, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -6*a**3 - 6*a**2 + 5*a + 7. Let w(m) = 7*m**3 + 7*m**2 - 6*m - 8. Determine 5*w(h) + 6*y(h).\nAnswer: -h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -3*v - 3. Let u(h) = 48*h + 48. Let f(n) = 33*a(n) + 2*u(n). Let z be f(6). Let x = -12 - z. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + (11 - 31 - (-47 + 22))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12.4 or -1\/2?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*u + 16 = -74*u + p, 0 = -5*u - 9*p - 10 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t - 0*t - 4, 4*p + 3*t = 12. What is the lowest common multiple of p and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - 203?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -28*b + 7. Is c(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03056 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 384*l - 380*l = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 606 + -558. What is the highest common factor of x and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -300312 + -1000?\nAnswer: -301312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.2 + -2039\nAnswer: -2039.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 46833756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -3\/160*l**6 + 0*l**3 - 1\/1344*l**8 + 1\/168*l**7 + 0*l - 1\/48*l**4 + 4*l**2 + 0 + 7\/240*l**5. Factor o(q).\nAnswer: -q*(q - 2)*(q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1822, -1769, -1716, -1663, -1610?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -51.46 + 48.46. Let b = -0.24 + 0.2. What is the closest to b in -0.5, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 4 = 0, -2*g = 2*d + 2*g + 12. Suppose a = 2*x - 312 + 105, 1009 = -5*a - 3*x. Let h = a - -206. Solve d*p - 20 = -h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 145\/7 or -2\/7?\nAnswer: 145\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes before 12:01 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -30, 1, -767661 in ascending order.\nAnswer: -767661, -30, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/4, 12, -9.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -5*h**3 + 160*h**2 - 580*h + 560 = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8792 divided by -8.\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 4, u: 3, n: 7, v: 2, d: 1, y: 1}. What is prob of sequence vy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**3 - 12*w**2 + 10*w - 108. Determine a(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4423, -4458, -4515, -4594, -4695?\nAnswer: -4818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*(h**(-2\/7)\/h)\/h*h)**(-4\/3)\/(h**(-1)\/(h\/(h**(-5)\/h*h)))*((h**0)**13)**(-2\/7) assuming h is positive.\nAnswer: h**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11154219 + -0.28.\nAnswer: 11154218.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -23, -185, -499, -977, -1631, -2473, -3515, -4769?\n\"Answer: -2*w**3 - 64*w**2 + 44*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is f4 - -12?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55, -444, -1495, -3538, -6903, -11920, -18919?\nAnswer: -28230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -136*v - 1 - 111*v + 262*v.\nAnswer: 15*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 13*p - 9. Let k(l) = 20*l - 14. Let o(f) = 8*a(f) - 5*k(f). What is o(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + z = -3*u - 6, 3*u - 4*z + 31 = 0. Let x = 29\/120 + -1\/24. Which is the nearest to x? (a) 0.2 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -391*n. Let y be i(-1). Suppose 5*g = 2501 - y. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 16146 and 51736.\nAnswer: 67882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -i**2 - 8*i + 11. Let h be l(-7). Suppose -h = -5*b + 17. Let a(g) = g**2 + 4*g + 11. What is the remainder when a(b) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 + -4. Let h(n) be the third derivative of -n**5\/60 - n**4\/4 + 5*n**3\/3 + 2*n**2. Let s be h(-7). Solve v - 19 = -s*a, 5 = w*v + v - 3*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**0\/(l*l**(-8)*l))**(-26) assuming l is positive.\nAnswer: l**(-156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -105*a**3 - 9*a**2 + 20*a - 28. Determine j(2).\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5951, 6567, 7571, 8945, 10671, 12731, 15107, 17781?\nAnswer: 20735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.05 - -0.35. Let w = n + 2.7. What is the nearest to 0.2 in 0.3, -3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 136411188*g**3 + 85*g**2 + 3*g + 25018 wrt g.\nAnswer: 818467128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443*m**2 + 3 - 4*m - 8 + m + m.\nAnswer: 443*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 10*z + 220 = 0. Let t be (-126)\/(-33) - 8\/z. Factor -2\/7*w**5 + 10\/7*w**t + 20\/7*w**2 - 20\/7*w**3 + 2\/7 - 10\/7*w.\nAnswer: -2*(w - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 2*b - 811 = 2643, b - 695 = -m. Suppose m = -r + 3*r. What is the common denominator of (-7)\/21 + 0 + r\/12 and 59\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -6*(2 - 20\/8). Let j(k) be the first derivative of 0*k - 4\/3*k**t - 1 + k**2. Suppose j(s) = 0. Calculate s.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - -2)\/((-21)\/(-14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1257*u**2 - 623*u**2 - 632*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1304894?\nAnswer: 2, 652447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 27459859 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62*u + 88*u - 22048 = 0. What is the remainder when u is divided by 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 151101 + 52?\nAnswer: 151153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 9.595745nm?\nAnswer: 0.000000009595745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -46 - -49. Suppose -c*p + 5 = 2*p + 2*w, -4*p + 3*w = -27. What is the second smallest value in 0.5, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 229 + 0 + -12 + (-51 - -62) is divided by 63?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 1769*w. Let m(j) = j. What is m(d(b))?\nAnswer: 1769*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rzw. What is prob of sequence zw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192797 divided by 1.\nAnswer: 192797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0007224806405 rounded to five dps?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (122438\/11 + 4)\/(-9654). Let f = -3\/1609 - m. What is the common denominator of -53\/66 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*513.8002\nAnswer: -1027.6004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 361 is divided by 90.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.30669 rounded to 3 dps?\nAnswer: 0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -34, -39, -50, -67?\n\"Answer: -3*y**2 + 4*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 4*a = 8*a - 17, -4*l - 2*a + 14 = 0. What is the closest to 19 in -0.3, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 5:39 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 50\/117317 and 19\/2163.\nAnswer: 2463657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14279 and 68125.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(108) + -5 - sqrt(6)\/(sqrt(2) - ((sqrt(2) - -2*sqrt(2)) + sqrt(2))).\nAnswer: -5 + 19*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -2.7, 38185?\nAnswer: 38185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1925, -3929, -5931, -7925, -9905?\nAnswer: -11865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.4, 1, -1\/5, -0.093659, 0.3, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 29\/7 + (42\/49 - 1). Let g be (-7)\/(-2*s*5\/40). Solve g*h + 8 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-85)\/30)\/(-12*13\/936).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 2*x**2 - 6*x. Suppose -3*d + 7 + 5 = 0. Give a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132 times 0.3?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that l**3\/4 + 410*l**2 - 746453*l\/4 - 187023 = 0.\nAnswer: -2011, -1, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 38270\/1161 - (-2 + 371\/189)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -6 - 4. Let a(g) = -2*g**4 - 12*g**2 - 2. Let q(l) = -l**4 - 8*l**2 - 1. Let v(x) = u*a(x) + 8*q(x). Let v(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4578*o + 4589*o - 2*v + 48, 0 = 4*o - 3*v + 47 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 2:43 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*n**3 - 4 - 45*n**2 - 2*n**4 + 41*n**2 + 3 + 18*n**3 to y*n**2 + a + u*n**4 + g*n + r*n**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x + 4. Determine k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/20 and 39\/26*2\/(-48).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 9:15 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2 - 2*x. Let v be b(0). Let c = -32293\/13 + 2484. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-8)\/l)\/l*l**(-32\/7)\/l)\/((l*l\/l**35)\/l**35) assuming l is positive.\nAnswer: l**(367\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - 0. Let s(q) = -q**2 + 7*q + 7. Let g be s(8). Let n = -231832 + 231832.05. Which is the closest to k? (a) n (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 257 - 247. Solve -2*x + 7*x - k = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-70)\/(-6) - 1\/(-3). Let u = r - 27. Let t be u\/10*16\/(-6). Solve 0*x - x = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 4*w + 10761, 0 = -3*r + w - 3*w + 6455. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -31. Let a = -0.07671 + -0.02329. Let w = 0.18 - -0.12. What is the third smallest value in h, a, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12 (base 14) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 20 = 0, -24*x + 29*x + 3*o - 85 = 0. What is the smallest common multiple of 22 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1134 and 135?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29692 is divided by 3288?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 7*w**2 - 10*w - 5. Let g(y) = 23*y**2 - 30*y - 15. Suppose 247 = 3*l + 259. Let c(a) = l*g(a) + 13*k(a). Calculate c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of 2089*c**4\/4 - 368*c + 1174. Differentiate k(r) wrt r.\nAnswer: 6267*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*u + 0 - 30 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times 7.5\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 1027*c + 87350. Determine o(-85).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23934?\nAnswer: 2, 3, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0*c = 3*t + 16, 0 = 5*c - t + 40. Let p = c + 15. Let z = 21 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**3\/5 - 1340*h**2 + 788032*h\/5 - 22416128\/5 = 0. Calculate h.\nAnswer: -1787, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 2*u + 2*h + 8 = 0, 4*h = 2*u - 10. What is the closest to u in 0.1, -1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1.94, 2, 1\/3, 11, -2, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 7*z - 4*z - 27 = 0, 5*z - 20 = 0. Solve 0 = -m - 4*c - 1 - 1, 0 = u*m - 3*c + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/4*((-115)\/30)\/23?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (4 - (4 + -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*v - 369 = 751, -u + 3*v = 6*u - 5*u - 44 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 886*i**3 + 674 - 2666*i**3 + 888*i**3 - 1358 + 891*i**3 + 684.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 4*g + 6. Suppose 5*x - g*x = 9. Solve -5 = x*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t + 2*u - 2, -7*u = -4*t - 3*u + 24. Suppose t*y - y - 12 = 0. Solve 0*g + 2*z = -4*g + 12, -5*g - 4*z + y = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-5)\/(q\/q**(-5))*(q*q**(-5)*q)\/q**(-2\/25) assuming q is positive.\nAnswer: q**(-348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(11) + sqrt(110)\/(sqrt(10) + sqrt(30)\/sqrt(3)).\nAnswer: -1 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 2*t**2 - 8*t - 5. Let y be v(4). Let a = y - -15. Suppose -8*q = -a*q + 28. What is the greatest common divisor of 70 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1 + 2)\/(-2)*-14. Let v(n) = 7 + 11*n**2 - 7*n**2 - f. Let o(l) = -2*l - 2*l - 3 + 3. Determine v(o(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 6326 = 3*m + 6329, 11*m - 4*p - 491 = -80*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -25, -0.1, 0.1019329?\nAnswer: 0.1019329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/123, -3, -0.3, 0.1, 0.5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -96 (c) -1 (d) 2\/37569 (e) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6572 or 6581?\nAnswer: 6581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 14 = 2*k - 34, 4*x + 20 = 0. Suppose 24 = 4*g + 5*u - u, -u + 11 = 2*g. Solve -g*m - 8 = -2*o, -5*o - m + k + 5 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 4, f: 4, c: 2, h: 1}. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in l - 96*l**3 - 124*l**3 - 3*l + 2*l**2.\nAnswer: -220*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 9*u**2 - 1. Let g be l(-1). Suppose -7*z + 5*s + g = -3*z, 5*z - 10 = -2*s. What is the highest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 n, and 1 o when four letters picked without replacement from ibooobnooiboooooooon?\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.9393608 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 117 - 73. Suppose -8*k = -28 - t. Calculate the highest common divisor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -123 - -175. Let a = d + -46. Suppose -3*z = 5 - 32. What is the highest common divisor of z and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3*3217\/(-12)*-4?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 2*a - 6. Let k = 10 + -4. Suppose -k = -g - 3. Solve -a*y + g*l - 7 = -y, 4*l = 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.038870054609 - 0.483\nAnswer: -0.521870054609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 4)*9\/12. Let o be (18\/6 - 9 - -3)*-1. Put -2\/13, r, o, 5 in decreasing order.\nAnswer: 5, o, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 40 + -7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -s**3\/3 + s - 54. Let m(q) = -292*q**2. Determine n(m(w)).\nAnswer: 584*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 196, 198, 190, 166, 120, 46, -62?\n\"Answer: -x**3 + x**2 + 6*x + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 177514.\nAnswer: 1065084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (21 - (-12 - -21 - 1)) + -29?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3151.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.081 times -0.06383\nAnswer: 0.00517023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 436\/18 - (-16)\/(-72). What is the highest common factor of x and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*q, 5*f - 2*q - 32 = -24. Solve 0 = f*o + 130 - 134 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5\/16, -127, -0.4?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the third derivative of t**4\/24 + 382*t**3\/3 - 2*t**2 - 19*t - 1. Let f(k) = -6*k**2. Give f(a(o)).\nAnswer: -6*o**2 - 9168*o - 3502176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*t - 151100*t**2 + 151098*t**2 + 1 - 6 to the form l*t + k*t**2 + p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1, 70, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*f + 272*f - 11619 + 3387 = 0 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 57 + -16. Let h = 43 - b. Put -0.2, 0.5, h in descending order.\nAnswer: h, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.06 greater than or equal to -2098.0098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 461 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(147)\/sqrt(3)*-6)\/sqrt(112) + (0 + 1 + sqrt(7) + -4)**2 + 3 + -1.\nAnswer: -15*sqrt(7)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the second derivative of 5\/12*t**4 + 0 - 1\/20*t**5 - 2\/3*t**3 + 0*t**2 - 144*t. Factor c(f).\nAnswer: -f*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (372\/(-1116))\/(2\/48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**2 + 15544*z - 15100996.\nAnswer: -4*(z - 1943)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -7*d**2 - 8*d + 82 - 88 - 5*d. Let s(y) = y**2 + y. Let k(i) = f(i) + 6*s(i). Let p(h) = -2*h**3 + 3*h**2 - h + 2. Let l be p(2). Calculate k(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12253*4\nAnswer: 49012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -4 + sqrt(19) + -3 + 4 - (3 + (-5*sqrt(19))**2 - sqrt(19)*3*3)) + 4.\nAnswer: -480 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1956, 3732, 5322, 6726, 7944, 8976, 9822?\nAnswer: 10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.1, 102\/73, -0.3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiqiiqqiii. Give prob of picking 3 i.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 9*p - 6*p + 3*p - 4*p - 5*p.\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 90 + 372. Suppose 527 = 3*k - 4*a, 0 = -2*k + 5*a + 354 - 12. Let r = l - k. What are the prime factors of r?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*x + 5. Let w be -6*((-15)\/(-6) - x). Let y be w*4\/6*-2. Calculate the greatest common factor of y and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 1, o: 6, i: 5, b: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dtqqcttdttdct. Give prob of sequence dtcc.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 598362.3956 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2871 + -2876. Which is the biggest value? (a) 0 (b) o (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3567.6 (b) 0 (c) -17 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-12)*264\/77*-7 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -3*y**3 + 7*y**2 + 4*y - 2. Let u(x) = -4*x**3 + 8*x**2 + 3*x - 1. Let n(g) = -2*u(g) + 3*w(g). Is n(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - (-2 + -14)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/38440 and -19\/168.\nAnswer: 807240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 2*w - 24. Let a(b) be the second derivative of 0 - 1\/21*b**7 + 1\/3*b**3 - 2*b + 0*b**5 - 2\/15*b**w + 1\/3*b**4 + 0*b**2. Factor a(o).\nAnswer: -2*o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -184a98a + 1?\nAnswer: -184a989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*x + 0)*(3 + 0 - 5)*(-14*x + 12*x - 32*x) - 2*x**2 + 2 + x - x.\nAnswer: 134*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 2*c**3\/3 + 492*c**2 - 361082*c - 1084720\/3 = 0. Calculate c.\nAnswer: -1192, -1, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 6273.545 centuries to months.\nAnswer: 7528254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 + y + 47. What is h(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -17*x**9\/504 - 17*x**5\/30 + 31*x**2. Find the third derivative of d(i) wrt i.\nAnswer: -2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 32 = 3*m, -2835*p - 4*m + 28 = -2830*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 288 divide 229498560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**3 + 16*g**2 - 132*g - 20. Give z(-22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 370551027\/1040 + -356299. Calculate the common denominator of -35\/64 and v.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 + w**2 + 1. Suppose 27*k + 1080 - 1134 = 0. Let f(i) = -7*i**3 + 2*i**2 - 2*i + 2. Calculate k*r(t) - f(t).\nAnswer: 5*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-2\/41)*v)**(-2\/77)\/(v**(1\/2)*v**(-2\/99)) assuming v is positive.\nAnswer: v**(-4327\/8118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.94953 + 0.05047. What is the third biggest value in j, -7, -2\/5, 4.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 - 3 - 9\/(-3) - 2478\/413\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24172 and 184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 32054 = -960*s + 1642*s for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from xjsdi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -1)\/(0 + 2\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 45, 21, -4, -13, -3 in decreasing order.\nAnswer: 45, 21, 7, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 + 2*k**2 + 6*k + 2. Let b(i) = -2*i**3 - 4*i**2 - 13*i - 4. Let a = 9454 + -9460. Determine a*b(w) - 13*y(w).\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 22bde (base 15) in base 16?\nAnswer: 1b05c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 3*u**2. Let a(i) = -3*i - 1. Let z be a(-2). Let g(l) = -7*l. Let n(h) = -4*h. Let r(f) = z*n(f) - 3*g(f). Give k(r(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -168.92 + 173. Let m = 0.08 - w. What is the third smallest value in -2\/13, -1\/4, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.7, 247\/25.\nAnswer: -0.7, 2, 247\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67206 is divided by 128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/600 and -57\/85.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**1*q*q)**(-5\/18)*(q*q**1*q)\/q**(2\/3)*(q**(1\/4))**(8\/9)*(q*q**(-8))\/((q\/(q**(-2\/9)*q))\/q*q) assuming q is positive.\nAnswer: q**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 35225 and 50.\nAnswer: 70450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.06 + 0.06. Let i = 121302 + -121301.6. Which is the second biggest value? (a) i (b) 7 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-197945)\/(-3245) - (1\/(-3) - -7*2\/(-3)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -4 (c) 4594 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 22 * -2.889\nAnswer: -63.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**2\/3 - 414540*i + 9948640\/3.\nAnswer: 5*(i - 248716)*(i - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 - p + 14. What is the units digit of f(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of n**4\/3 + n**3\/3 - 12*n**2. List the prime factors of r(8).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1129 = -10*h + 1851. Let w = h + -293. What is the least common multiple of w and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 116, 145, 180, 221, 268, 321?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/14 + (-10)\/14. Suppose -13 = z - 5*u, 0*z = -3*z + 2*u - 13. Let d be (-3*(9 - 10))\/(1 - 0). Sort x, d, z.\nAnswer: z, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 2, p: 1, s: 1, t: 1, j: 2}. Give prob of sequence tsjp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 0.074.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w**2 + 2*w**2 + 0*w**2)*(w**3 + 3*w**3 - 7*w**3) - 20*w**5 + 20*w**5 - 9*w**5 + (-13*w**2 + 5*w**3 + 13*w**2)*(2*w**2 + 1 - 1).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 2*y**3 - 3*y**2 - 2*y + 4. Let m = -369 - -371. Give o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -45*s**3 + 55*s**2. Let p(c) = -5*c**3 + 6*c**2. Calculate -6*i(b) + 55*p(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = -4*b + 2*u + 4, -4*b = -5*u + 8. Solve 3 + 3 = -b*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 432814982?\nAnswer: 2, 216407491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3645029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 3*a + 3572980, 2*a - 4*a = -g + 2382004. Round a to the nearest ten thousand.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 143306 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -10*b. Suppose -3*m - 20 + 32 = 0. Let v(n) = -m*n + 6*n + n - 5*n. Calculate v(u(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 14 = 12. Solve 3*k - x = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*c**2 + 9*c**2 + 2*c - 2*c**3 + 1 + 4*c**4 + 0*c**2 to s*c**4 + p*c + t + z*c**3 + v*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (54 - 22) + (12 - 18) - -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 0 + 2)*(-6 + 2 + 2)*(1114 - 198*g - 1114) to the form j*g + o and give j.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*n - 22725 - 92535. Let z be (n\/(-8) - -3) + (-12)\/(-8). Round z to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 4 = 5*n, -64870*n + 64822*n = -l - 45 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/20 and 28\/1588625.\nAnswer: 6354500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 306\/150*5 - (-2)\/(-10). What is the highest common factor of 280 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is d - 29946?\nAnswer: -29939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -165739 and 1?\nAnswer: -165739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 464 is divided by 211?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -559, -536, -499, -448, -383, -304, -211?\n\"Answer: 7*d**2 + 2*d - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3613 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {l: 7, w: 3, u: 2}.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 4*d = 0. Suppose 49*c - 53*c + 964 = d. What are the prime factors of c?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5361, -21434, -48221, -85722, -133937, -192866, -262509?\n\"Answer: -5357*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, r: 1, p: 1, m: 3, e: 3, i: 1}. Give prob of sequence emcr.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of 0 - 1\/80*i**5 - 1\/3*i**3 + 2*i - 5\/48*i**4 - 1\/2*i**2. Factor k(f).\nAnswer: -(f + 1)*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6595\/84416)\/((-20)\/8).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b. Let y(d) = 3*d + 10*d - 9*d. Give i(y(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the second derivative of -o**5\/60 + o**4\/24 - 2*o**3\/3 + 5*o**2\/2 + 5*o. Let p(d) be the first derivative of f(d). Give p(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4*k = 16, k = -i - 0*k + 3. Suppose 5*t = 3*x - 3 + 6, 22 = i*x + 2*t. Let l = 0.2 + -0.1. Which is the nearest to 2\/3? (a) l (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -2*n**2 - 18. Let w(b) = 2. Let q(g) = c(g) + 8*w(g). Let m(h) = 3*h**2 + 3. Give 3*m(v) + 4*q(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -314 + 366. What is the remainder when 88 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) 2 (c) 0.4 (d) -2\/5 (e) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 46 + -149. Let j = d + 183. Suppose -4*a + j = a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 144 by 144.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 130. Let l(t) = t**2 - 216*t + u*t + 5 + 105*t. Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 644\/11 <= 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 k when three letters picked without replacement from vkkjvevv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 15 - (75 + -35 + -10 + -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) 0.37428 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/5 (c) 2\/21 (d) 248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 5172 = -2*m, 2*a = -6*m + 8427 + 7099. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7223 is divided by 454.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.264 - -0.66. Let o = k + 0.076. What is the third smallest value in -2, o, 1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 2 = 3*i, -5*l + 2*i + 16 = -i. Let h be -4*(-1)\/l - -3. Suppose 5*v - 74 = -0*c + 3*c, -h*c = 15. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -96 - (-218 - -73) - (-6 + -38).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 - 3*u**2 + 5*u + 1. What is the tens digit of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (8\/12)\/((-3)\/(-27)). Solve l = s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -241, -182, -123, -64?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10795, 13421, 16047?\nAnswer: 18673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -129.59 plus -1010?\nAnswer: -1139.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6135 + -1001. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 + 3*o - 4. Let h(d) = 7*d**2 - 13*d - 57. Let x(w) = h(w) + 6*p(w). What is x(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1636\/5 or 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 54 - -1. Suppose 3*o = -0*o. Suppose o = -5*d - 5, -6*g + g - 4*d + 21 = 0. Calculate the greatest common divisor of f and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.5 - 0.7. Suppose 0 = -5*q - 2*b - 30, q - 5*b = -3*q + 9. What is the nearest to k in q, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-10)\/12)\/((-63)\/(-48)). Let l = m - 2\/63. Which is the second smallest value? (a) 0.1 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10721\/145353 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -17*h**2. Let a(r) = r + 2. Let l(u) = 9*u + 21. Let p(y) = 42*a(y) - 4*l(y). Determine t(p(o)).\nAnswer: -612*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**2 + 5*k + 6. Let g be a(-6). Let j = 33 - g. Suppose -4 - j = -5*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 7*q - 6. Let k(p) = 2*p - 10. Let c be k(8). Let f be x(c). Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 1)*(-4*a + a**3 + 4*a) - a**3 + 0*a**3 + 0*a**3 + 5*a**3 - 2*a**3 - a**3 + (-a**2 - 2*a**2 + 4*a**2)*(-3 + 4*a + 3).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 340 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 181\/390 and 67\/5676762?\nAnswer: 28383810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 957.6404 centuries in decades?\nAnswer: 9576.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 13*q - 37. Let u be (-153)\/85*(-10)\/3. Let n be p(u). Are n and 41 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 71153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) + -2)*1 - ((sqrt(162)*3)**2 + sqrt(162))*3.\nAnswer: -4376 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3727 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(6\/5))\/b*b*b**14*(b*b*b**(-11)*b*b)\/((b**(-13)\/b*b*b*b)\/b*b) assuming b is positive.\nAnswer: b**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r - 21*r + 3*r + 3*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 192651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.9 - 1.9. Let v be (1\/(-5))\/((-102)\/(-15) + -7). Let y(w) = -4*w**3 - 1. Let g be y(v). What is the second biggest value in 0.3, g, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-6) + -1)*33\/(-1452)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of -h**6\/15 + 6*h**5\/25 + 3*h**4\/5 - 4*h**3\/3 - 21*h**2\/5 - 18*h\/5 + 8. Factor j(a).\nAnswer: -2*(a - 3)**2*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5431397.\nAnswer: 19, 179, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/22375425 and -43\/44750850?\nAnswer: 44750850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 41 - 41. Suppose 168 = 3*x - c*x. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 76*o - 76*o - 5*o**2 + 7*o**3 wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36905.386 rounded to the nearest one hundred?\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 5*s + 6. Let t(u) = -3*u**2. Calculate t(x(c)).\nAnswer: -75*c**2 - 180*c - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -19051 - -19075. What is the highest common factor of 954 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*c - 4*k + 32, c - 4*c - 5*k = -34 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -76\/7 - -359\/35. Let x = -10 + 10.1. Let a = -0.5 + x. What is the nearest to 2\/3 in a, d, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 196477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 2*x - 26219 + 26219 - 21*x**2 in the form q + s*x + t*x**2 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -409*p - 22899. Give j(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 2671 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 106.55 and -14.31?\nAnswer: -1524.7305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 50339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l + 3*w - 556 = 4*l, -2*w = 3*l - 418. Suppose l*n - 141*n - 76 = 0. Is 373\/5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**4\/11 + 256*a**3\/11 + 11988*a**2\/11 + 21904*a + 1722202\/11.\nAnswer: 2*(a + 17)*(a + 37)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r + 10. Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 32748484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/2 + (-58)\/(-18). Suppose 2*s + 2 = -2. Let q be (-9)\/2 + 2 - s. Which is the third smallest value? (a) x (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-3)*(90\/(-4) - -3). Let f(o) = -2*o**2 + 9*o - 8. Let g be f(6). Is g < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 11*x**2 + 4*x - 2. Let d be u(-2). Let k = 34 - d. Suppose k*z + 18263 = 7*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -3, -2, -1448, 3, 4, -9 in ascending order.\nAnswer: -1448, -9, -3, -2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4*9*6\/72\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 4 - 8*x**2 + 3*x**2 - 4. Let a(o) be the second derivative of -o**3\/2 - o. Let g(u) = 7*u. Let r(v) = -9*a(v) - 4*g(v). What is i(r(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2844)\/4*15\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u = -24*x + 5*x - 215, 3*x - 300 - 281 = u - 617 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 4. Let v be q(2). Let d(m) = -7*m + 3. Calculate d(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0 + -2 + 1 - (-13 + 4). Suppose 55 = -3*t + l*t. Let o = 22 - 11. What is the highest common factor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-48)\/(-10) - ((-30)\/(-6))\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 31041122 + 142?\nAnswer: 31041314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m. Let y(p) = 2864*p - 10. Let u(o) = -3*n(o) + y(o). Is u(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 436 - 83*a - 37 + 2*a**2 + 2*a**3 - 398 to the form k*a + q*a**2 + c*a**3 + m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22 + -13. Let c = 43 + -28. Suppose -m = 5*s - c, -4*m + 4*s + 37 = -23. Calculate the remainder when m is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 1, n: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 10 = 5*v, 4*v = 11*i - 7*i - 20. Solve -3 - 4 = -4*m + 5*b, v = -2*b - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/(-4))\/(2 + (-39)\/18). Which is the third biggest value? (a) 2\/3 (b) 2\/13 (c) w (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 AM and 10:09 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8112175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 2 o, and 1 k when four letters picked without replacement from {k: 3, y: 1, j: 2, o: 4, b: 6}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*c - 112 - 440. Let g be c\/(-7) - (-4)\/(-28). Suppose -12*l - 641 = -g*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 9*u**3 - 3*u**2 - 6*u - 9. Let k be s(8). Suppose -7*m + 22734 = k. Let t = m + -1342. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 21362150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - f = 4. Suppose 3*l - 19 = -0*l + f*a, l + 3*a + 1 = 0. Solve l*s = 2*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000979 rounded to 5 dps?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -212*a**6 - 59*a**2 - 2 wrt a.\nAnswer: -25440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -o - o + 5797360, 3*o = -3. Suppose 3*s - 1901319 = v. Suppose -s = x + 3*x. What is x rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -18664495849 + 13.\nAnswer: -18664495836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-5*(((-1*sqrt(325) + 4)**2 + sqrt(325) - sqrt(325)) + (sqrt(325) - -2*sqrt(325)*-4) - (3 + (sqrt(325) + 1*(1 + sqrt(325)) - sqrt(325)))).\nAnswer: -1600*sqrt(13) + 6740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 76\/30*(-170225)\/(-776226)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 378, 570, 764, 960, 1158?\n\"Answer: y**2 + 189*y + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.079041+4215089\nAnswer: 4215088.920959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7750172 and 17437887.\nAnswer: 69751548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*t)*(-11*t - 10*t + 19*t) + (-3*t - t + 2*t)*(-2*t - 4*t + 4*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 23.768918315 rounded to 2 decimal places?\nAnswer: 23.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0.66132+23\nAnswer: 23.66132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + sqrt(684))**2*2 + sqrt(152)\/(sqrt(8)*4).\nAnswer: sqrt(19)\/4 + 1862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n\/(n\/n**(1\/2)))\/n**(2\/17))\/((n*n\/n**(-1)*n)\/n**6))\/((n\/(n\/(n*n\/n**0*n*n)))**1\/(n**(-1\/4)*n\/(n**7*n))) assuming n is positive.\nAnswer: n**(-535\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -12*n**2 + 3*n. Let m(d) = -20*d + 14. Let p(w) = 11*w - 6. Let x(f) = m(f) + 2*p(f). Calculate x(h(q)).\nAnswer: -24*q**2 + 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3116474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 14.1282712 to three decimal places.\nAnswer: 14.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 162 and 117396.\nAnswer: 352188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -5 (c) 0.02 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -5 and 29613119296.\nAnswer: 29613119291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of 455*t**4\/2 - 46*t**2 + 9*t - 1136. What is the second derivative of j(g) wrt g?\nAnswer: 5460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 382, 2448, 6206, 11656, 18798, 27632, 38158?\nAnswer: 50376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*v**5\/7 - 4*v**4\/7 + 54*v**3\/7 - 24*v**2\/7 - 8*v\/7 = 0.\nAnswer: -2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(2\/3)*l**(2\/9))\/(l\/(((l\/(((l\/l**1)\/l*l)\/l*l)*l)\/l)\/l)*l**(-1))*(l**(-1\/9)\/(l**(-6)\/l))\/(l**(-1)\/(l**(-3)\/l*l)) assuming l is positive.\nAnswer: l**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1915448 - -1915381.999664. Let m = y - -66. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 15 - (28 + 1 + (-40752)\/(-849))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u**5 + 1180*u**4 + 10452*u**3 - 273244*u**2 - 875320*u - 592800 = 0. What is u?\nAnswer: -285, -20, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/2)\/(-4)*(-4)\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11\/231)\/(32\/(-32))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -122 - -125. What is the greatest common divisor of t and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 325.2071ng to kilograms.\nAnswer: 0.0000000003252071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 52747, 104735, 155963, 206425, 256115?\n\"Answer: -q**3 - 374*q**2 + 53117*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - 3*d + 0*d + d + 1 as r*d + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 11. Let i be (-4)\/14 + 200\/14. Suppose 4*x + i = -14. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -18*r**2. Let d(y) = 6*y - 3*y - 5*y. Let b(q) = -q. Let g(m) = 12*b(m) - 5*d(m). Determine l(g(o)).\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 116142\nAnswer: -1\/116142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -734*m - 42849 = 20*m + 833*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 778 - (-7 + (-1)\/(-1)). Calculate the remainder when 8\/((-56)\/(-35)) + z is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1179048017.9999933 - 1179048095. Let k = 60 + 17. Let s = k + l. What is s rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -11, -9, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*l**3 - 16*l**2 + 16*l.\nAnswer: -4*l*(l + 2)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 - 398*w + 11 + 50*w)*(w**3 - 4*w**3 + 2*w**3)*(4 - 3 - 3).\nAnswer: -696*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + 3*(-2)\/(-6). Let z = -7887332\/1285 + 6138. Is b greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -55*j**3 - 13 + 98*j**3 - 65*j**3 wrt j.\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -480328 (base 13) to base 6\nAnswer: -100424041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 73 (base 10) to base 16\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 25\/2 + (-67)\/(-134)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -991, -1846, -2437, -2632, -2299, -1306?\n\"Answer: 22*i**3 - 1009*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 10, -6*h + 5*r = -4*h + 2. Let k(a) be the second derivative of 1\/130*a**5 + 0*a**2 - 1\/78*a**h + 0 - 2\/39*a**3 - 7*a. Factor k(j).\nAnswer: 2*j*(j - 2)*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -2*v + 25024, -l - 326 = 2*v - 5334. Let u(m) = 5003*m - l*m - 3*m**2 - 16*m**2. Let s(q) = -q**2. Give s(u(r)).\nAnswer: -361*r**4 - 38*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -108 + 112. What is the nearest to 1 in m, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 5499.609 micrograms?\nAnswer: 0.005499609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 7.91 and 1.81.\nAnswer: 14.3171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s + s + 2*s)*(-21*s**2 - 185696 + 185696 - 10*s).\nAnswer: -21*s**3 - 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 36*s**5\/5 - 116*s**4\/5 - 12*s**3\/5 + 116*s**2\/5 - 24*s\/5 = 0.\nAnswer: -1, 0, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 291*n = 270*n + 210441. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0383 times -0.058045\nAnswer: -0.0022231235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 = -3*k + 9. Suppose -2*q = 4*o - 148 + 8, 3*q - 4*o = 260. What is the remainder when q is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 287 is divided by 139.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 51\/6 + 4\/(4 + 4). Let r be 1\/(124\/14 - u). Is 0.048 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*r = 89, -l = 2*r + 18 + 4. Let c be (36\/(-16))\/(-9) - 60\/l. Solve -v - 2*g - 3*g = -1, -4*g + c = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3262 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vrvvpronnoopn. Give prob of sequence nnrr.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 3.96192?\nAnswer: 11.88576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -3*m + 6*m - 16*m + (3*m - 3*m + 2*m)*(0 + 1 + 1) - 3*m + 2 - 2 + (-1 + 1 + 1)*(-2*m - 5 + 5) as b + q*m and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 53*p. Let g(t) = -2*t - 3. Let m(x) = x + 2. Let d(z) = -4*g(z) - 6*m(z). Calculate d(h(s)).\nAnswer: 106*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -66 + 20 + (30 - -30).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3451 - -3463. Suppose 3*v - 28 = -v. Let k = 0 + v. What is the remainder when w is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*d - 0*d - 4395 - 255. Calculate the greatest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w + 3*z = 28, -z = 41*w - 39*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 + 11*g + 6. Let m be t(8). Suppose -m = -0*w - w. What is the units digit of 102\/w - (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1456)\/182*10\/(-35).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 15) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**5\/11 - 4918*q**4\/11 + 3030710*q**3\/11 - 9062642*q**2\/11 + 9052816*q\/11 - 3015968\/11.\nAnswer: 2*(q - 1228)**2*(q - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 12413 (base 5) in base 8?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000 + 1101111010001110110110?\nAnswer: 1101111010001110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 12695016 to the power of 1\/2, to the nearest integer?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 73036002\/11 or 6639638?\nAnswer: 73036002\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of -3*q**4\/28 + 282*q**3\/7 - 39762*q**2\/7 + 2491752*q\/7 + 123. Determine u, given that y(u) = 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -9*w + 1. Let v be r(-1). Calculate the common denominator of (-6)\/30 + (-358)\/(-40) and 0 + 1 - 325\/v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 94505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 2*m - 1)*(2*m**3 - 2*m**3 - 2*m**3) + 2*m**2 + m**4 - 2*m**2 + (4*m - 2*m - m)*(-13 + 13 - 3*m**3) + 4*m**4 + 0*m**4 - 2*m**4)*(3*m - m + 0*m).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10266 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**3 - 10*x**2 + 3*x - 215. Let n be t(-10). Is 754 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 333202 + -300233?\nAnswer: 32303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*d*h*z - 5*d*h - 478471*d*z + 2*d - 30601*h*z - 168*h wrt d?\nAnswer: -2*h*z - 5*h - 478471*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 171 and 24993474?\nAnswer: 74980422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*n + 5*n + 5*n + 4*n + 96 to the form z*n + k and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -4*x**2 - 5*x + 11. Let d(j) = -j**2 - j + 3. Let m(r) = 2*a(r) - 9*d(r). Is m(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2805674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*t**3\/5 - 56*t**2\/5 - 32*t\/5.\nAnswer: -4*t*(t + 4)*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 120*g**3 - 59*g**2 + 45*g - 126. Let s be f(-51). What is s rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zfz when three letters picked without replacement from fzzpdf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - s - 1089 + 1104 = 0, 0 = -5*l + 4*s + 66 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 6*z**3 - 13*z**2 + 2*z - 4. Let b(d) = 7*d**3 - 14*d**2 + d - 5. Let m(f) = -5*b(f) + 6*h(f). Let k be m(7). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 62\/111 + 4\/37. Let 2\/9*r**3 + 4\/9 + 0*r**2 - b*r = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 169397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of 1\/9*f**4 + 2\/9*f**6 - 46*f - 4\/63*f**7 - 4\/15*f**5 + 0*f**3 + 0 + 0*f**2. Determine s, given that h(s) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -55970*s**3 + 10*s - 498883 wrt s?\nAnswer: -167910*s**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - s = s - 39472 + 39456, -5*u - 2*s = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 90777348*b**3 - 51051621*b**2?\nAnswer: 544664088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -23760, -3, -764 in decreasing order.\nAnswer: -3, -764, -23760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(3\/5)*l**(-2\/3) assuming l is positive.\nAnswer: l**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 16417127*a - 4969594 wrt a.\nAnswer: 16417127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes after 9:58 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, o: 7}. What is prob of picking 3 o and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -d5bc0c (base 15) in base 3?\nAnswer: -201010102112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b**2 - 34*b. Let n(h) = -41*h + 82. Let o be n(3). Is i(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 44 = 31. Let f be (-2 + 2 + 1)\/(-49 + r). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 720 (base 9) to base 13.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 4 - 11 + 6*i**2 - i**2 - 4*i**2 - 8*i. Let v be l(5). Sort 0, -4, v in decreasing order.\nAnswer: 0, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 210 and 353216262?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19390983.\nAnswer: 3, 6463661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a + 27. Let c(i) be the first derivative of -i**2 - 15. What is m(c(x))?\nAnswer: 4*x + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -12991, -24522, -36053, -47584, -59115?\n\"Answer: -11531*l - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (5*b - 8 + 8)*(3 - 2 - 3)*(-22 + 20 + 9*b - 2*b) in the form g*b**2 + t + j*b and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -16900, -16907, -16900, -16873, -16820, -16735, -16612?\n\"Answer: s**3 + s**2 - 17*s - 16885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 20*x**2 + 64*x + 6. Let b be m(-16). Put -14, b, 0, 3 in increasing order.\nAnswer: -14, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6086 = -2*b - 5*s + 449, 6555 = 2*b + s. Calculate the highest common factor of b and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 3*l. Let g be (-2)\/(-20)*44 + 2\/(-5). Solve -5*o + 28 = -l*o - x, 0 = 5*o + g*x - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42.98265t in grams?\nAnswer: 42982650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 418*h**2 + 6*h. Let q(m) = -2*m. Calculate q(x(w)).\nAnswer: -836*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*u + 12*u - 10*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -57*b**3 - 33. Let t = 489 - 493. Let a(c) = -7*c**3 - 4. Calculate t*d(r) + 33*a(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 105193 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -435*j. Let p(s) = 25*s + 3*s + 5*s - 2*s. Calculate 6*m(c) + 85*p(c).\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 85.88 (b) -5 (c) -1\/2 (d) 3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 192098929 and 748.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of -8*h**3 - 62208. Let r(p) = 3*p**2 - p**2 - 5*p**2. Give r(k(a)).\nAnswer: -1728*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1651104 minus 93.61?\nAnswer: 1651010.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 12942 divided by 6?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 94951 or 5?\nAnswer: 94951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1.4 * 0.21\nAnswer: -0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mee when three letters picked without replacement from teknkeketeme?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*d + 51*d + 0*d - 1.\nAnswer: 40*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r**2 - 10*r - 3. Let f(d) = -4*d**2 + 9*d + 4. What is -5*f(t) - 6*x(t)?\nAnswer: 2*t**2 + 15*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 1 = -5. Let l = a - -1. Suppose 0 = i + 3*i - l*z - 24, z = 0. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 9*f + 34. What is the tens digit of o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -694838*l**2. Let q(g) = g. Give p(q(b)).\nAnswer: -694838*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -28? (a) 12297 (b) -1\/6 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of 3*z**4\/8 - z**3\/6 + 4*z**2. Suppose -178*l + 1 = -177*l. Calculate a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -457 + 621. Calculate the remainder when d is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -0.07 (c) -12\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -j, g - 5 = -g - j. Suppose -5*o - f - 4 = -g*f, -3*o + 3*f = 3. Factor -1\/4*d**4 + 0*d + 1\/2*d**3 + o - 1\/4*d**2.\nAnswer: -d**2*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -3*m - 2. Let x(g) = g + 1. Let y = 2 - -1. Suppose 4 = y*n - 2. Suppose 0 = -0*q - q - n. Calculate q*b(s) - 5*x(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/3))**(-15)\/(u**(-2))**(1\/7))\/((u**(-2)*u*u*u*u)**(-5)\/((u*u**(-6)*u*u)\/u*u\/(u**(3\/7)*u)*u*u)) assuming u is positive.\nAnswer: u**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**(-6)*w**(-2\/31)*((w*w**(-11\/2))\/w)**0 assuming w is positive.\nAnswer: w**(-157\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 18 = 5*f, -5*f - 146*n + 151*n = -70 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 14*u - 79. Let l be z(14). Suppose 2*q - l = 3*t + 146, -q + 126 = 4*t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28245685?\nAnswer: 5, 13, 19, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -174*u + 1621 = -2903 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -12*j**3 - 6*j**2 - 6*j - 3. Calculate the remainder when l(-3) is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*o + 144. Let u be (-1)\/4 + 99\/o. Suppose 3*r = -u*n + 361, 14 - 129 = -r + 2*n. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 923317.9 nanometers in micrometers?\nAnswer: 923.3179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 6542 (base 7) to base 12\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1236 + 1236. Suppose -42\/5*i**5 - 4\/5*i**2 + 0 + q*i + 8*i**4 + 6\/5*i**3 = 0. Calculate i.\nAnswer: -1\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -85 - -90. Put -0.4, -2\/17, j in increasing order.\nAnswer: -0.4, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38397600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/8)*b*b**7*b*b**(-7)\/b**6)\/(((b*(b\/(b*b**(-5)))\/b)\/b**6)\/(((b**(-1\/13)\/b)\/b*b)\/b**7)) assuming b is positive.\nAnswer: b**(-1165\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j**(-1\/3)\/j*j))*j*j**(1\/2)*j**18\/j**(-7\/6))**(-32) assuming j is positive.\nAnswer: j**(-1952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 12, -3, 9, -2, 4, -21 in increasing order.\nAnswer: -21, -3, -2, 1, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -12*t**2 + 9. Let z(h) = h - 32. Let a be z(22). Let b(d) = -4*d**2 - 14. Let i(l) = -l**2 - 1. Let g(r) = a*i(r) + b(r). Give 3*f(k) + 7*g(k).\nAnswer: 6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: What is the product of 17 and 202.88085?\nAnswer: 3448.97445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4834 + 5044. Calculate the greatest common factor of j and 1440.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9123871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*m = -14*m - 1964. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -20*h**2 - 476*h. Let v(d) = -7*d**2 - 168*d. Let y(j) = -6*c(j) + 17*v(j). Let i(o) = -14412*o**2. What is i(y(q))?\nAnswer: -14412*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 530021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - 30*b**2 + 30*b - 27. Let l be j(29). Suppose -4*p - 3*d - 7 = 0, -5*p + p - l*d = 2. Solve -3*w - 1 = -p*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000275 to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*c*w**4 + 218318080*c - 43489980*w**4 wrt w.\nAnswer: 20*c*w**3 - 173959920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8644244?\nAnswer: 2, 7, 308723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 11, 0, -23, -64, -129, -224, -355?\n\"Answer: -u**3 - 4*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xvxxxdxdxx. What is prob of picking 1 v and 1 d?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 308\/1395 - -2\/1395. Which is the closest to -13? (a) 2\/7 (b) 4 (c) p (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 910.16 and -66560?\nAnswer: 67470.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*v**2 - 263 - 3*v**2 - 2329 - 3*v**2.\nAnswer: v**2 - 2592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z**2 - 3*z + 89. Let m be w(0). Let i = m + -78. Solve 3*o = 3*f - 9, 0 - i = 4*o - 5*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -43316? (a) 0.0593 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 331 in -0.4, -48, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -x**7\/15 - 7*x**6\/60 - x**5\/60 + 947*x**4\/12 + 6297*x**2. Find the second derivative of d(v) wrt v.\nAnswer: -168*v**2 - 84*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 29*w**2 + 22*w - 129. What is the thousands digit of l(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 812*l - 3243. Let g be n(4). Solve 0 = -g*s - 3*j + 1, -3*s - 2*j + 2 - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 552.559897 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1113755\/855888 + -8\/53493. Let f = z + -15\/16. What is the common denominator of f and -97\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 4, b: 7}. Give prob of sequence bsss.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/15*3*(-4 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 59 - (-32 - -72) - 25?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 538519 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 10704*b - 417439. Give c(39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -47 in 5, 3\/4, -44\/3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 195312\/89 or 2194?\nAnswer: 2194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -3\/2, -5.1 in ascending order.\nAnswer: -5.1, -3\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, 16.9, 0.3, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l + 12. Let j be n(-10). Suppose 4*s + 2*g - 606 = j*s, s + 5*g = 311. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 3842062016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -62, -4, -35?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -3, -2845, 7.\nAnswer: -2845, -14, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -6 + (2 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7.0034 rounded to one dp?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gmbbqbmbmgbmfbgqbqm. Give prob of sequence qgm.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 17a488 + -10?\nAnswer: 17a478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1071, 2235, 3399, 4563, 5727?\nAnswer: 6891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12443*g - 14757*g + 9736*g + (3*g - 2*g - 3*g)*(1 + 1 - 4)*(1 + 0 - 2) to c*g + w and give c.\nAnswer: -17468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 22*a**2*n**2*o + 2*a**2*n*o**2 - 5*a*n**2*o - 221*n**2*o**5 + o wrt o?\nAnswer: 4*a**2*n - 4420*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2 + sqrt(468)*2 - (((sqrt(468) + 0)*4)**2 + sqrt(468))).\nAnswer: -6*sqrt(13) + 7486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 332720 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 972 is divided by 723?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1286939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 30175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 12*l - 5*l. What is the nearest to 1\/3 in 1, -9, -8, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1577 rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 75, 109, 141?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + 3*3*6*(sqrt(500)*4*-4 - sqrt(500)))*6*3)**2.\nAnswer: 5948640*sqrt(5) + 136521288324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 + 51. Let z = w + -27.2. What is the closest to 3 in -2\/3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - 26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 - 30. Let g = -43.000049 - a. What is g rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - v. Suppose v = -8*o + 4*o. Suppose 2*z = -o*z + 28. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - 10. Suppose -2*h - s + 46 = 0. What is the highest common divisor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 225 + -209. Solve 4*j - 8*j = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of z**6\/150 - 3*z**5\/50 - 127*z**4\/60 - 82*z**3\/5 - 288*z**2\/5 + 87*z - 1. Factor t(i).\nAnswer: (i - 16)*(i + 3)**2*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 2 + 5)*(-135*v**3 + v**2 + 148*v**3 + 85*v**3) in the form x*v**3 + j*v + d*v**2 + y and give x.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2545 + 4529. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 125 + -70. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001111 (base 2) to base 9.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 483471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes before 6:44 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 751 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-11 + 6 + 27)*(-d - 6*d + 5*d) - 4*d + 5*d - 3*d as j + s*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -210144 (base 6) to base 11.\nAnswer: -11785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11 + -201?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*(-22)\/(-132)*(-3)\/1*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: -95 divided by -1526469\nAnswer: 95\/1526469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 2*t - 684 = 0, -4*f + 7*t + 684 = 9*t. Calculate the remainder when f is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -6*a. Let v(r) = 5*r. Let p(d) = 3*o(d) + 4*v(d). Let g be p(3). Solve -2*w - w + g = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 16 = 5*b, 0 = -b - 2 - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 3*j. Let r = -60 + 60. Let n(c) be the second derivative of -3*c + 1\/4*c**4 + 0*c**2 + 0*c**3 + r. Calculate n(z(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 779\/11 - 71. Which is the third biggest value? (a) i (b) -1 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-1) + -4 + -11. Let g = -21 - b. Let l(s) = s**3 + 10*s**2 + 5*s - 8. Is 14 a factor of l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 4*u**2 + 2*u - 7. Let g(p) = 9*p**2 + 5*p - 14. Determine 2*g(y) - 5*n(y).\nAnswer: -2*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l + 1. Let r(b) = -21*b - 9. Give 9*o(w) + r(w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10*l**3 + 11*l**3 - 25*l**3)*(3 + 9 + 5) to the form t + w*l**2 + z*l + d*l**3 and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1179992651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 291\/9 - 1\/3 and (-95)\/(-38) + -4 + 6\/(-124)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2 - 12*b + 3. Let f be p(-13). Let i = -10 - f. Solve -l - 3*l - 8 = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2303602925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*n + 15234 + 22386 = 0. Let d = -6 - -11. Suppose -4*y + d*q = -13616 + n, -2*q + 8727 = 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(2057)*1)**2 + -1 + 1*sqrt(17) + sqrt(17) - ((-6*sqrt(612))**2 + sqrt(153)*1).\nAnswer: -19979 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1823 + -5.1823. Which is the second smallest value? (a) -198 (b) n (c) -5\/6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 754653 is divided by 377316?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 5*w = 18. What is the units digit of -3*1040\/(-54) + (-4)\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3+-461702727673\nAnswer: -461702727673.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 1.471154 to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/3 + 3)*3. Suppose y*g = g + 10. Suppose g*o - 3*s = 66, -4*o - 2*s = s - 42. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16118262 and 828.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 148765981 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.073 + -3.473. What is the smallest value in -4, t, -6\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 1067*x**2. Let k(y) = -y + 24. Calculate m(k(r)).\nAnswer: 1067*r**2 - 51216*r + 614592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.8 - 4.2. Let t = -1 + 1. Let u be (-8)\/12*(-2)\/(-4). Which is the closest to 0.1? (a) t (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(252)*2*-4*1)**2*6.\nAnswer: 3483648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 35.2 + -35. Put a, 2\/11, -2 in decreasing order.\nAnswer: a, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -291, -582, -883, -1200, -1539, -1906?\n\"Answer: -c**3 + c**2 - 287*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (15\/25)\/((-6)\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2.18696um in millimeters?\nAnswer: 0.00218696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1830d (base 16) to base 6.\nAnswer: -2042421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3517420 and 339435.\nAnswer: 601478820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 182200352 a multiple of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -2*j**4 + 560*j**3 - 35130*j**2 - 36820*j + 71392 = 0. Calculate j.\nAnswer: -2, 1, 97, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -500 + 829. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + 3 + 8 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + 9. Let q be h\/(-16)*(0 + -4). Solve -4*n - 25 = -q*a, 5*a - 3*n - n - 31 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -5*n**3 + 3*n**2 - 2*n - 1. Let w(p) = -p**3 + p**2. Let b(i) = l(i) - 6*w(i). What is the remainder when 26 is divided by b(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2527 - 10159\/4. Find the common denominator of -57\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**5*t\/t**10)\/(t**(3\/11)*t**(3\/5)) assuming t is positive.\nAnswer: t**(-763\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/2 + 424\/(-40).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/t**(1\/7))\/t**(5\/7))\/((t**(-7\/5)*t*t)\/((t**(1\/3)*t)\/t)) assuming t is positive.\nAnswer: t**(-13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2\/21 - 3\/7. Suppose 2*d = 5*x - 31, -4*d + 0*x + 3 = 3*x. Let y = 15.5 - 16. Which is the third smallest value? (a) y (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-19430)\/(-923))\/(-5) - -4. Let k = l + 4\/71. Let h = -32 + 63\/2. What is the closest to 0.1 in k, -0.4, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -29 - -31. Does 3 divide (-2 + 39\/6)*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, c: 1, u: 3, v: 3, m: 2, i: 1}. What is prob of picking 1 i, 1 m, and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 - c + 5. Suppose 0 = 4*z - 3 - 1. Let q be 7 + (2 - (z - -3)). Let s(l) = l**2 - l + 4. What is q*t(j) - 6*s(j)?\nAnswer: -j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -64330480 divided by -10?\nAnswer: 6433048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((36\/(-40))\/(6\/(-140)))\/(3\/4)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**3 + 237*s**2 + 3*s - 237 = 0. Calculate s.\nAnswer: -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 17*v + 20*v = 351, -4*c + 4*v = -1388. Does 58 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ctlb when four letters picked without replacement from llttcbtlbi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12793\/668 - -233\/668. Factor -p*t**3 + 0 - 54*t - 72*t**2 - 3\/2*t**4.\nAnswer: -3*t*(t + 1)*(t + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/(5\/(-2)))\/((-128)\/448).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76604 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*m**2 - m**2 - 2*m**3 - 5*m**2 + (328*m + 139*m**2 - 328*m)*(-2*m + 1 + 2*m - m).\nAnswer: -141*m**3 + 137*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22267.\nAnswer: 7, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bydd when four letters picked without replacement from {d: 2, b: 1, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((14*-1)\/(((-16416)\/48)\/38))\/(-2)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = w - 5, 2*b + 4*w - 38 + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h - 55 = -5*i, -299*h = 301*h - 596*h + 3*i - 33 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 7, p: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 PM and 2:03 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/43450 and 29\/34760.\nAnswer: 173800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17347 - -21289. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -110 (base 8) to base 14\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*x - 3*x. Suppose -7*j + 12 = -x*j. Suppose 0 = j*d - 3*h - 4, 4*d - h + 0 = 12. Let f(t) = -t**2 + 4*t. What is f(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45 - v + 85 - 40.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -3*q**5 + 39*q**4 + 6*q**3 - 78*q**2 - 3*q + 39 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -4 + 6 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1509*j - 1583*j - 5330 = -3174*j for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7)\/((-7)\/(-2))*14916\/678?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) -4 (c) -8 (d) 18 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 60365 + -33404. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1\/8)*o**(-1\/2)*o**(-1)*o*o**(-6)*o)\/(((o**(-1\/2)*o)\/(o*o**(2\/9)*o))\/(o**(-2\/15)\/(o**(3\/2)\/o))) assuming o is positive.\nAnswer: o**(-1633\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 609 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16*f**4 - 6*f**2 - 32*f.\nAnswer: 192*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 11*v**2 + 4*v - 17. Let b(z) = -5*z**2 - 2*z + 8. Suppose -3*s - 8 = -h + 7, -4*s - 5*h - 39 = 0. Determine s*i(g) - 13*b(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 7*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) 353 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of -3*t**3 + 751. Let q(m) be the second derivative of 0*m**2 + 0 - m + 1\/3*m**3. Determine y(q(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*i = 1012236 + 12440164. Round i to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2292\/2483*(-104)\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4470307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -770.8 + 707. Let s = v - -58.8. Put -0.7, 0.01, -1, s in descending order.\nAnswer: 0.01, -0.7, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g + 2 + 2 - 1)*(-g - 2*g + g).\nAnswer: 4*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.64 times 37.2684\nAnswer: 23.851776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -128 + 179. Let f = 71 - t. What is the highest common divisor of f and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffm when three letters picked without replacement from mfddf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.882624 hours to milliseconds.\nAnswer: 21177446.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -2866 + 1036. What is the least common multiple of 110 and (-63)\/(-147) + k\/14?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14946 - -27367. List the prime factors of f.\nAnswer: 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 22 + -6. Suppose 5*j - m = j. Solve -a**5 - 12*a**4 + 18*a**3 - a**5 + j*a**5 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j = -0*j + 2*y + 19, -j = -3*y - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6062?\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6893248 and 36.\nAnswer: 62039232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3156203 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 g(p) be the second derivative of -2*p**3 + 7\/6*p**4 + 0*p**5 - 1\/15*p**6 - 5*p - 2 + 0*p**2. Factor g(d).\nAnswer: -2*d*(d - 2)*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 360482.\nAnswer: -1\/180241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - (-9 + (-8)\/(-2))*-2. Let n(q) = -300*q - 47. Is n(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -9*s**3 + 2*s**2 - 1. Let j be 18\/12 + 9\/(-2). Calculate the lowest common multiple of 8 - (3 + 3 + j) and b(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 36*m**3 - 63*m**3 - 12*m**2 - 3*m**2 + 24*m**3 + 1 - 13*m**2 as n*m**2 + a + b*m**3 + o*m and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 10:17 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1029 - 643 + 2781*n**4 - 542 - 410 + 396 - n**3 wrt n?\nAnswer: 11124*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 3541 - 11986333\nAnswer: -11982792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 - 30 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 + 6 + -2 + 46 + 9. Let v = 59 - u. Which is smaller: v or 6\/73?\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-92 + 31*y + 92)*(2 - 1 + 0).\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k = 2786 + 2470. Let i = k - -589. Let v = -8 + 13. Solve v*m - f = -3, 0 = -i*f + 10 + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3212.04 + 3248. Round o to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -2) + 100 + 8 + (261 - 272).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 20 = 0, -4*w + 2*w = 2*b - 104. Let p = w + -54. Suppose -3*o - 3*l = -477, p*o - 389 = 2*l + 113. Is o a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -3*m**2 + 10*m - 2. Let t be j(3). Let i(h) be the third derivative of h**5\/60 - h**2. Let u(w) = 2*w**2 + 2. Calculate t*u(c) - 3*i(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 21 + 437*t**3 + 39 + 4.\nAnswer: 437*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 48308 + -28029. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of k**6\/15 + 33*k**5\/10 - 117*k**4\/2 + 369*k**3 - 1134*k**2 - k - 1697. Find h such that q(h) = 0.\nAnswer: -42, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 360107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -15 (base 13) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 890 a factor of 4091330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/185 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 706*c = 715*c - 8991. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -268 - -1878\/7. Which is the closest to j? (a) -1 (b) -0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.11842745 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be -7*1\/(-7)*-54. Let i = w - -52. Let l be (i + 20\/4)\/(15\/700). What is the greatest common divisor of 28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwkwazwawzwwwak. What is prob of picking 1 k and 2 w?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1370 and 10001?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33665, -33666, -33667, -33668, -33669, -33670?\nAnswer: -33671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -81 - -83. Solve -u = 5*w - w + 4, 2*w - a*u = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*a**4\/2 + 28421130*a**3 - 5385082238286*a**2 + 4308052148496*a - 861609520224 = 0.\nAnswer: 2\/5, 378948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 9*l - 24 = 0. Suppose -4*d + 73 = -0*d + u, 4*u - 45 = -3*d. Calculate the remainder when d is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cvm when three letters picked without replacement from cmteeveecv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -47 - -47.00000047. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 - 7062865*d. Let s(b) = -61*b. Determine y(s(q)).\nAnswer: 3721*q**2 + 430834765*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.0464 - -63736.3\nAnswer: 63736.2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 9*o + 2. Let q be g(-8). Let d(h) = -h**3 + 11*h**2 - 9*h + 3. Let l be d(q). Suppose -69 = -l*u + 10*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, k: 1, z: 1, f: 1, o: 1, n: 1}. Give prob of picking 1 n, 2 m, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 444 + -404. Let a be ((-4)\/(-6))\/(-1)*(-300)\/q. Solve -6 = -c - a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.920499 days in milliseconds?\nAnswer: 511531113.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -99 - -189. Suppose -a - 20 = -5*s. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 3*z = 5*g + 20, -8 = -2*z - 4*g. Suppose 3*m + 5*f = 60, 0 = -3*f + 6 + 3. Suppose 21 = z*k - m. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {p: 5, w: 14}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 200264909 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 233 - 116 + 4*m**2 - m**4 + 27*m**3 + 25*m**3 - 2*m - 34*m**3 - 113 in the form a + k*m**4 + w*m**3 + t*m + o*m**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 15.9345828255 and 53.\nAnswer: 68.9345828255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5051538 is divided by 940.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p**2\/2 + 27*p\/2 - 15 = 0 for p.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-5*(-3*(sqrt(396)*1 + sqrt(396)) + sqrt(99)*2*1))**2.\nAnswer: 990000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 43\/9 - 24\/(-108). Let d = -228 + 348. Suppose 2*c - d = -u*y, 5*y - c - 105 = -0*c. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 8:20 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d = 389*d + 5018 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 36 + (-43 - 5) - -26\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 0.2 (c) 3 (d) -193 (e) 3\/34 (f) -2 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the third derivative of -x**5\/60 - 114*x**2. Let p(u) = -12*u. Determine b(p(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13, 7, 1, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2, 35, 104, 227, 422, 707?\n\"Answer: 3*a**3 + 12*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:35 PM and 1:55 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 374*l**2 - 5*l + 1. Let h be r(-6). Suppose -5*x - 5*i = h, 0 = x + i - 5*i + 2714. Is 11 a factor of 3\/(-5) - x\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 36.3, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*d + 19*d + 24 = 0. Suppose 2*l = -0*m - d*m + 474, -209 = -l + 5*m. What are the prime factors of l?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/5 + (-10099)\/(-55). Let r = k - 184. Let l = 66458\/5 + -13292. Which is the fourth biggest value? (a) l (b) -1\/3 (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327152386 to the power of 1\/2, to the nearest integer?\nAnswer: 18087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be (34\/(-6) - (-12 + 5))*1*-3. Let y(d) = -53*d**3 + 2*d**2 - d. Let m be y(1). Sort 5, m, n, -1 in ascending order.\nAnswer: m, n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -2 + 6 + (1 - 4). Suppose 0*m - m = -k. Let c(x) = 35*x. What is the tens digit of c(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 23 = -4*k, 4*c + 4*k = -0*k + 12. Suppose -17 = -4*w - c. Let q be 3 - (-2 + w) - 2. Solve -g + q = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*k**4 - 7408455*k**2 - 149099819.\nAnswer: -16*k**3 - 14816910*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(1700) + -3 + -2*sqrt(1700)*-4)**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2\/9 + 50*q\/9 - 28.\nAnswer: -2*(q - 18)*(q - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 376*n*t - 20011368*n + 2100*t wrt t.\nAnswer: 376*n + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -63 - -51. Let n = u + 14. Put n, 1, -1, 0 in increasing order.\nAnswer: -1, 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*c = -14*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10020 - 13012010?\nAnswer: -13001440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1327 - 0.0327. Let y = -14 - 7. Let n = 20.9 + y. What is the second smallest value in -4, w, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29475, -58943, -88405, -117861, -147311, -176755?\nAnswer: -206193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 3:11 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 3*h - 2*n - 5 = 0, -2*h - 5*n = 35. Let t be 5\/h - (-111)\/1. Suppose 3*g = -2*g + t. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -48917 - 0.05.\nAnswer: -48917.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 65, 142, 257, 428, 673, 1010, 1457?\nAnswer: 2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (4131\/255)\/((-30)\/(-50))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -2*c. Let r(p) = 25*p. Give 40*d(f) + 3*r(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -2*q**2. Let c(l) be the second derivative of -2*l**4\/3 + 4*l. What is c(z(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 21 = -3*p + g, -g = p + 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 2*w - 3. Let p be f(3). Suppose -3*y = p*b - 3, -2*b + 5 = -7*b. Suppose 21 = r - 4*s, -5*s - 18 = -y*r - 3*s. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 108305?\nAnswer: 5, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 16 = 0, 14 = -a + 3*b + 1. Let q be 148\/12 + a\/3. Suppose 0 = -v - v + q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c = -2*f + 26, 126*f - 121*f = 4*c + 11 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 185*l. Let w(p) = 280*p + 2. Determine 8*v(y) - 5*w(y).\nAnswer: 80*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 + 3. Suppose 5*l = -i*y + 24, 3*l - 4*l + 6 = y. Find the third derivative of l - 4 + 2*k**4 - k**2 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of -n**5\/5 + n**4\/4 + n**3 - n**2\/2 - 2*n + 9. Let h(v) = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 25*j. Let i(u) = 68*u - 822. Let c be i(12). Let b(g) = 5*g. Give c*z(n) + 33*b(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(270) - sqrt(270))*-5)\/(3*((sqrt(294) + sqrt(294)*3 + sqrt(294) + sqrt(294) - sqrt(294)) + sqrt(294) - sqrt(294))) + 0.\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8069*o + 15 - 3639*o - 16625*o + 2*o**2.\nAnswer: 2*o**2 - 28333*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -774034 divided by -4?\nAnswer: 387017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*p - 6 = 10*p, -3*i - 5*p + 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*z = -35*z - 817 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -7, -5 in ascending order.\nAnswer: -7, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zpebbhlezbph. Give prob of picking 1 z, 1 h, 1 b, and 1 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -8*l + 3*l. Suppose l*h - 1 = 3. Suppose -h*u + 29 = -3. Calculate the smallest common multiple of u and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -22852 and 10\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 2*f + 2. Let c(g) = 14*g + 16. Let v(u) = -c(u) + 8*k(u). Let b(n) = -29*n**2 - 2. Give v(b(x)).\nAnswer: -58*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 1 = 2*q + 44, 0 = q - 4. Calculate the remainder when 135 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84778?\nAnswer: 2, 19, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 3221094713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 12. Let q(t) = 10 + 6*t - i*t**2 - 1 + 3. Let w be q(-9). Round w to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 3*m**2 + 25791*m - 25794 = 0.\nAnswer: -8598, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -244, -979, -2192, -3871, -6004?\n\"Answer: 2*u**3 - 251*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 59153085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 20076*c**2*l + c*l + 31*c + 25*l wrt c.\nAnswer: 40152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 8\/23*f + 0 + 10\/23*f**3 + 16\/23*f**2 + 2\/23*f**4.\nAnswer: 2*f*(f + 1)*(f + 2)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 8) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 39 - 48. Let v(a) = -18*a - 1. Let t be v(b). Let y = t - 95. What is the remainder when y is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-20)\/27 + (-102)\/(-1377) - 5\/(525\/335)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/6 - (-28)\/(-30)*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 23 (base 5) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 4*s - 12. Solve -s*m = 2*l - 6, 3*l - 9 = 3*m - 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -56\/123134685 and -181\/48052560?\nAnswer: 1970154960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u + 5*y = -10*u + 53, 4*u - 3*y = 120. Let z = -14 + 56. What is the least common multiple of u and z?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 5*l**2 - l**4 - 3*l**4 + 3*l**4 + 2*l**4 + 4*l**3 + 2*l = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2834009 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1503 = 4*q - 869. Let s = -258 + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f + 12 + 3. Let y be -6*f*4\/24. Let z(c) = -2*c**3 + 3*c**2 - 8. Let s(p) = -p**3 + p**2 - 3. What is y*z(h) - 8*s(h)?\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-6)\/8)\/(3*6\/72). Let b(r) = -r**3 + 0*r - r + 0*r**3 + 3*r**2 + 3*r**3. Let k(d) = 3*d**3 + 5*d**2 - d. Give j*k(a) + 5*b(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/10*4*(-870)\/(-87)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -21*m + 19. Let y(d) = 19*d - 18. What is 7*y(g) + 6*z(g)?\nAnswer: 7*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-63)\/(-84))\/((-2)\/(-96)). Let c(x) = -x**3 + 5*x**2 + 9*x - 9. Let r be c(6). What is the highest common divisor of w and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:28 PM and 6:36 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.3 (c) 42\/5 (d) -7 (e) 0.5 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/472 and 43\/189744.\nAnswer: 189744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (2\/8*4)\/((-4)\/(-56)) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5521 - 21943\/4. Let s = -36 + v. What is the third biggest value in 1\/5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 132.98959 to zero decimal places.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve u = 4*t + 5, 27*t + 89 + 129 = 4*u + 77*t for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -71766 by 27.\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*l - l - 8. Suppose l*y = -87 + 215. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b - 2*b + 3*b)*(-5239 + 15699 - 5087 - 5117).\nAnswer: 256*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -88*h**4 - 401108*h**3 + 784240*h**2 - 364804*h - 18240 = 0.\nAnswer: -4560, -1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(((-9)\/(-6))\/((-573)\/(-382)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 98 = 74*f - 60*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*r - 33*r + 37*r + 0 + 36*r**2 + 3.\nAnswer: 36*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 13.6, -15, -2?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*-1*(sqrt(104) + 1*(sqrt(104) + sqrt(104) + (sqrt(104) - 2*sqrt(104))) - sqrt(104)))\/(-5*1*sqrt(768)\/sqrt(6)) + 0.\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 3*c + 8*c - 471 = 0, -b + 4*c = -174. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of t**4\/12 + 306*t. Let k(x) = 39*x**2. What is 52*g(s) - k(s)?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 + 1. Let a be r(0). Let v(t) = 2*t - 54. Let l be v(25). Put l, -5, a in ascending order.\nAnswer: -5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1435\/52 + 111\/4. Let y = 31\/10 + -7\/2. What is the closest to y in d, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i**4 - 2*i**4 + 7*i**4)*(1 - 2 - 2) - 4*i**4 + 2*i**4 + i**4 + (3 - 2*i - 3)*(-4*i**3 + 0*i**3 + 6*i**3) + 2*i**2 - 2*i**2 + 2*i**4.\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + r)*(3*r**2 + r**2 - 3*r**2) - 3*r**3 - 3*r**2 + 3*r**2 + 3*r**3 + 0*r**3 + 2*r**3 - 4*r**2 + 32 + 4*r**3 - 12*r**3 - 33.\nAnswer: -5*r**3 - 4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 466 divide 599257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 266078 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10\/(-15) + (-1)\/(6\/(-4)). Suppose r = i - 3 + 1. Factor -2\/9*g**3 + 4\/9*g + 2\/9*g**i + 0.\nAnswer: -2*g*(g - 2)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -14451, -14450, -14449?\n\"Answer: p - 14452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -762050.66 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r + r + r)*(-r**2 + 4*r**2 - 5*r**2) + 175*r**3 - 18496*r**2 + 6 + 18496*r**2.\nAnswer: 173*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**2 + 17*g + 36. Let z be x(-16). Solve 3*u - 7*u = -z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-24)\/(-14) - 2\/(-7). Let f = s + 0. Suppose 0*y - y + 45 = z, 0 = 3*y + f*z - 132. What is the greatest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 + 18 - (2 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + 5*z - 74, -2*x + 290*z + 24 = 287*z. Solve -558*u - x = -555*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*p = -58*p + 185. Solve -15 = -2*i - 9, 4*i = p*a + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96653926277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 5:18 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3212 divided by -2.\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*(-2 + 7\/3). Let h = 0.01 - -0.29. Which is the third biggest value? (a) -4 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u**3 + 2*u - 3065*u**2 + 0*u - 2 - 2*u + 3043*u**2 as t*u**2 + m*u**3 + p*u + a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-2))\/(506527\/(-25326) + 20). Calculate the greatest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*l + 51*l = -100 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -26 + -3 + 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 132 and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from myumuobumbmuumom.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -10608 divided by -1\nAnswer: 10608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1901.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k + 22. Give t(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {o: 6, t: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -1093 (base 10) to base 11.\nAnswer: -904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - 797?\nAnswer: -79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10115 + 30353\/3. Calculate the common denominator of x and -47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of -3*c**2 + 2*c**2 + 2*c**2 - 67 - c + c. Let x(u) = -10*u**2. Give x(d(a)).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 8. Let j be s + -4 - (0 + -5). Suppose j*a - 3*a = -4, -5*d - 4*a = -316. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 220 a factor of 2368835040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.2 (b) 14.1 (c) -2\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -u*x**4 + 5*u*x - 44*u - 18*x**5 - 8*x**3 wrt x.\nAnswer: -12*u*x**2 - 360*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 4*z + 4, z = -4*q + 2*z + 1. What is the common denominator of 3835\/(-104)*(1 + (-18)\/20) and 1 - (q + 50\/44)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62138281 take away 1.05?\nAnswer: 62138279.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -4*i**2 + 331. Let b(w) = w**2 - 83. What is -9*b(x) - 2*c(x)?\nAnswer: -x**2 + 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -452 - 0.267.\nAnswer: -452.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 658590 and 72210.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 72*h - 74*h - 10 = 0, -2*q + 4*h = -10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72 + (-82 - -79 - 70).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -4*n, -3 = -2*j + n + 3. Suppose -4*z - j - 10 = 0. What is the units digit of 2\/z*(-85 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**2 - 17*k + 140. What is the remainder when t(23) is divided by 91?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 224 = -3*x, -2*q = -5*q + 6. Let p = x + 74. Put p, 41, 5 in descending order.\nAnswer: 41, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8468*u**5 - 2299*u**2 + 2*u wrt u?\nAnswer: -508080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 1 - 6 + 3 + u. Let r be j(2). Suppose r = 2*p - 5*x - 77, -2*x - 5 - 5 = 0. Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 372*x = 419666 + 1506806 - 83956. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -28*o**2 - 91*o - 13. Let i be g(-3). Which is the closest to i? (a) -4\/3 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/336315 and 92\/144135?\nAnswer: 1008945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (24\/714)\/(7\/((-98)\/(-4)))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 242695 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -3*h**2 - 62*h + 48. What is m(-15)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/22041 and 22\/115103?\nAnswer: 1035927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b + 4\/21*b**7 + 1\/84*b**8 + 9*b**2 - 1\/30*b**6 - 2 - 2\/3*b**5. Find c, given that u(c) = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 0 + sqrt(304) - (4 + -2*sqrt(304)) - (-5*(-1*sqrt(171) + sqrt(171))*6)**2*2.\nAnswer: -9 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*r - 30 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -626*v**2 - 16374*v - 2551. Determine k(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -5*j**2. Let l(y) = -y**2. Let d = 3 - 4. Let x(q) = d*f(q) - 2*l(q). Let r(v) = -2*v**2. What is r(x(c))?\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 149? (a) 0.18 (b) 1\/6 (c) -0.3 (d) 5 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:10 AM and 10:33 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1900) - -3*(sqrt(1900) + (sqrt(1900) + sqrt(1900) + sqrt(1900) + 1 - sqrt(1900))))**2 + -6*(sqrt(19) + (sqrt(19) - sqrt(38)\/(1*sqrt(2)))).\nAnswer: 594*sqrt(19) + 190009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 11*b**2 + 8*b + 9. Let a be 2\/(-10) + 266\/(-70). What are the prime factors of z(a)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 210*v = 12*v + 449, -18*g + 31*g = 12*g + 3*v + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -123 + 128. Suppose o*f = -3*j - 17, 22 - 6 = -3*j - 4*f. Which is the third biggest value? (a) j (b) -20 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -44, -148, -314, -536, -808, -1124?\n\"Answer: y**3 - 37*y**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23 - -202?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33161332.\nAnswer: 2, 173, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 992368, 1984726, 2977072, 3969400, 4961704?\n\"Answer: -h**3 + 992365*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v**3 + 6*v**2 + 11*v - 9. Calculate the lowest common multiple of 84 and k(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.4? (a) 2.9 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 507.42464 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -141 - -11. Let b be (c\/(-52))\/(0 + (-1)\/(-2)). Solve -b*v + 9 = -16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*b**4 + 14*b**2 + 129*b**2 - 2*b**3 - 20*b - 148*b**2 to h*b**2 + z + n*b + c*b**4 + u*b**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5 times -2154\nAnswer: 10770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 291 a factor of 2444361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**3 + 5*y**2 - 3*y + 1. Let f(l) = -l**2 - 120*l. Let z be f(-120). Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 - 14*y - 18. Let h be f(15). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4863858um to kilometers.\nAnswer: 0.0000000004863858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 PM and 8:02 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -2 + 1 + -124 + 111 - (-4 - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**3\/17 + 10*z**2 - 1262*z\/17 + 2310\/17 = 0.\nAnswer: 3, 5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-2 + -4 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r**3 + 184968*r**2 - 369940*r = 0. Calculate r.\nAnswer: -184970, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(3\/2)*l\/(l*l\/(l*l*l\/(l\/(l\/(l**(3\/7)\/l))))))\/((l*l**(-7)*l)\/l**(-8))*((l\/l**(-2\/11))**(2\/39))**(2\/3) assuming l is positive.\nAnswer: l**(1541\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/30*(0 + (-592)\/(-56) + -11)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 71441 - -31776. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 353 - -109. Is 77 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*u - 100*u**2 - 22*u.\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express m - 1 - 2*m**3 + 2*m - 3*m**4 + 3*m**3 - 2*m**3 as r*m**4 + w*m**3 + q + x*m**2 + t*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 565617 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 61200809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 44595 divided by 1048\nAnswer: 44595\/1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qjq when three letters picked without replacement from {g: 1, q: 3, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 26 + 2 = 0. Let t(l) be the second derivative of 0 + 5*l**2 + 1\/20*l**5 + 3\/2*l**3 + 2\/3*l**4 + 3*l. Give t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 9*c**3 - 11. Let m(z) = 2*z**2 - 3*z**2 - 8*z**3 + z**2 + 10. Let u(t) = 6*m(t) + 5*v(t). What is the derivative of u(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 10. Suppose a = -4*v + 28. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 + 8*t**2 - t - 9. Let w be (-36 + 36)\/(1 - 2). Suppose w = -6*r + 92 - 140. Give x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83 + 110 = s. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 645 is divided by 512.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7*q**4 - 7*q**3 + 8*q**2 + 5.\nAnswer: -168*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 145.97 - 141. Round y to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -15*z**4\/4 + 354*z**3 - 34209*z**2\/4 + 11427*z - 3225 = 0.\nAnswer: 2\/5, 1, 43, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -105 (b) 0.3 (c) 1.2 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*p**2 - 2*p - 2*p**3 + 2*p**4 + 3*p**2 - 23*p**2 to k + g*p**4 + a*p**3 + v*p**2 + z*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**2 + s - 3. Let v be x(0). Let t be (2*-1)\/((-24)\/(-48)). Which is the nearest to 0.2? (a) v (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1550\/(-150))\/((-1)\/90)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -2*g**4 - 6*g**3 - 17*g**2 + 6*g. Let z(w) = 5*w**4 + 13*w**3 + 34*w**2 - 13*w. Let f(l) = 13*s(l) + 6*z(l). Find the third derivative of f(i) wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*j**5 - 16*j**2 + 462685*j**6 + 21 + 2*j**5 - 462508*j**6 wrt j.\nAnswer: 21240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*m + 162 = -278 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from jllkjllk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 4*h = 17, h = 3*t + 2*h - 18. Solve -3*r = k - 13, 10 + t = 3*k + 3*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -15752799 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**3 - 19*p**2 - 102*p + 300. Calculate y(-15).\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 945, 940, 933, 924?\n\"Answer: -i**2 - 2*i + 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -296*s + 395. List the prime factors of m(-12).\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5310, -4\/5, 4\/13, 1, 2\/15 in descending order.\nAnswer: 5310, 1, 4\/13, 2\/15, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2721 - 2701 - ((-2088)\/34)\/(-3)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -22004 to the nearest one hundred.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -2\/19 (b) -4 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r*r*(r\/r**(1\/2))\/r*r\/(r**(2\/23)\/r))\/(r**2)**(-11\/3))**(-2\/119) assuming r is positive.\nAnswer: r**(-1621\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*u - 2*z - 7, u + 3*z = 6*z. Let v = 6 + -4. Find the third derivative of a**4 - 4*a**2 - u*a**4 + 6*a**v wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 4*v = -4, 0*q + v = -3*q + 3. Calculate the remainder when 8 is divided by ((-60)\/(-50))\/(q\/10*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(-8)*14\/21. Put -4, m, 1\/3 in increasing order.\nAnswer: -4, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1435, -1428, -1397, -1330, -1215, -1040, -793?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 134 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -575*k + 568*k = -14. Suppose 0 = 5*g - k*g - 4*r, 5*r = 2*g + 7. Solve 2 = -u + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -7 - -6 - 34\/(-2). Suppose -s - 26 = -3*y. Solve -15*a + y*a = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3985140679 to the power of 1\/2, to the nearest integer?\nAnswer: 63128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 3)\/(12\/(-52)). Solve 4*i - 5*l - 19 = 5*i, i + 3*l = -m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + p + 28 = -19, 0 = 3*u + 2*p - 38. What is the remainder when 43 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 160*w**2 - 285*w**2 + 420*w**2 + 326*w**2 in the form s + u*w + c*w**2 and give c.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (5 + -3 - 5) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 + 8*p**2 - 7*p + 2. Let x be w(7). Factor -68*y + 30 - 6 + 8*y**2 + 0*y**x + 12*y**2.\nAnswer: 4*(y - 3)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 99.41, 0, -3 in decreasing order.\nAnswer: 99.41, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ymyymyym. What is prob of sequence mm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5804*n*s*t**2 + 55*n*s*t + n*s + 72*n + 10*s*t**2 + 6719*s wrt t?\nAnswer: -11608*n*s*t + 55*n*s + 20*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -6*m - 7. Let i be j(-5). Suppose -112 = -3*l + i. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -153*h = -155*h - 20. Is 9 a factor of (-788)\/h*(-95)\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -31*h - 41. Let w(q) = 10*q**2 - 1. Calculate w(m(z)).\nAnswer: 9610*z**2 + 25420*z + 16809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 AM and 9:37 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -5\/191 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -500*w**2 - 8998*w + 36 = 0.\nAnswer: -18, 1\/250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5128563 is divided by 2564220?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is 482 minutes before 8:17 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p + x - 4 = 17, -9 = 2*p - 5*x for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 6*o + 39. Let q be f(-6). Suppose 3 = -q*n, 54 = -7*m + 2*m + n. Let x(z) = -3*z**3 - 25*z**2 - 2*z + 1. Is x(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(1\/3))**(-1\/11)*(g\/g**0*g*g)**41*g**(-1\/4)\/(g**(-1\/5)\/g)*g**(-6)\/g**(2\/5) assuming g is positive.\nAnswer: g**(77563\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.9 + 4.78. Let o be -5 + 4 + 15\/18. Put f, o, -4, -0.2 in descending order.\nAnswer: f, o, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27553 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3580, -3579, -3578?\nAnswer: -3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 9:51 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8799002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*o**2 - o**2 + 7*o**2 - 500 + 0*o**2.\nAnswer: 2*o**2 - 500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.0307 - 0.0307. Is -387 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 5*q**3 - 2*q**2 - 4*q + 31. Let j(b) = -3*b**3 + b**2 + 2*b - 15. What is 4*h(s) + 7*j(s)?\nAnswer: -s**3 - s**2 - 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = 2*y - 11, 23 = 3*y - h + 4. Solve -y*m + 10 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 + 16 - (-78 + 40 - -111)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -758, -752, -750, -758, -782, -828?\n\"Answer: -h**3 + 4*h**2 + h - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - -4593b?\nAnswer: 45937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 13 = -7*s, 9*s + 1 = -f + 14*s. Put -3, 26, -4, f in descending order.\nAnswer: 26, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -107*w + 9. Let c(i) = 217*i - 20. What is -6*c(s) - 13*y(s)?\nAnswer: 89*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/28)\/((-18)\/63)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7215929 - 13.684.\nAnswer: 7215915.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -686693*j + 686693*j + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a. Let i(b) = 1 + 0*b - 2*b + 0. Suppose 3*l - l = -8. Let p(v) = -v - 9. Let u be p(l). Calculate u*o(s) - 2*i(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of -5*m**5\/12 + m**4\/24 - m**3\/6 + 26*m**2. Calculate n(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of r**9\/504 - r**5\/10 - 3*r**2 + 3*r. Let q(p) be the first derivative of w(p). What is the third derivative of q(a) wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 + 12*o**2 - 29*o + 25. Determine x(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6493702 is divided by 25072?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:41 AM and 8:44 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 7:28 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 8*v + 540 = 0. Let n be v\/(-12)*(-8)\/3. What is the highest common factor of n and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 + -1265.\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -3 + sqrt(7) - (sqrt(7) - sqrt(7)*-3)*-1 - (sqrt(448)*1)\/(sqrt(324) + sqrt(36)))**2.\nAnswer: 1372\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 261313 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - 35 - (43 + (6 - 30))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.3 + 33007610080.\nAnswer: 33007610077.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 719 + -210. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 - 21. Let f = 17 + d. Suppose -4*r = -0*r - 2*s - 96, f = s. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2385106 + 692?\nAnswer: 2385798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105926.\nAnswer: 2, 52963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l - 5 - 9*l + 5*l**2 + 8*l + 0*l**3 + l**3. Determine h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -175, -1240, -4127, -9748, -19015?\n\"Answer: -152*t**3 + t**2 - 4*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + 32 - 9\/(-9). Suppose d - m = 2*z, -2*z + 117 = d + 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 59 - (-4)\/8*-12. Suppose -16*f + x = -11. Solve 5*o + l + 20 = 2*l, 0 = -f*l + 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -94.524 less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/3 (c) -2\/5 (d) -7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbbbbobbbbbbbooboo. What is prob of picking 2 o?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41513.\nAnswer: 41513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35)\/(-231))\/(20\/12).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 80249.53 decades in months?\nAnswer: 9629943.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -997 (base 16) to base 12.\nAnswer: -1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 0.084, -4\/7 in ascending order.\nAnswer: -4\/7, 0.084, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(4\/(-2)))\/((-222)\/(-481)*26)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 + j - 5. Determine w(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 12 - 22. Let l(c) = -c + 1. Let r(u) = u**3 - 3*u**2 + 2*u - 2. Let g(y) = h*l(y) - r(y). Calculate g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 195654 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = 3*k + 3*w, -k - 5*w = -2*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/6)\/((-4)\/18). Suppose -5*y = 2*m - p*y - 36, -2 = m - 3*y. What is the highest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(18))**2*-6)*-3.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 - 92\/(-20)) + (-2)\/(-5). Let i be (5\/(125\/20))\/(q\/240). Calculate the common denominator of -19\/4 and (-2)\/2*2*(-87)\/i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-19))**44*(g**(24\/7)*g)**(1\/35) assuming g is positive.\nAnswer: g**(-204789\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -13318 + 114?\nAnswer: -13204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -23 and 808106683753?\nAnswer: 808106683776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -6 + (-12 + 6 - -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/j**(-2)*j**(1\/3))**36 assuming j is positive.\nAnswer: j**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 3, g: 1}. What is prob of sequence uug?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 7 + 1)*(5*a - a + a)*(-a**2 - a**2 + 4*a**2) to the form h*a**2 + o*a**3 + d + t*a and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 102 - 102.348. Let j = s - 0.052. Let l = 77 - 463\/6. Sort j, -4, l in increasing order.\nAnswer: -4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 29 = -3*q, -5*q + 5*z + 24 + 11 = 0. Let r = -22 + 32. Suppose 6*m + v - 134 = 3*m, -2*v = -r. Calculate the remainder when m is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**3 + 6*l**2 - 18*l - 85. Give i(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 5797343 = -6*p - 5797469, -2*y = -2*p - 38 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2517020 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*m - 25*m + 3540 = -3*c, 0 = 3*m + 2*c - 3535. List the prime factors of m.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + (1 - 2 - -5). Let o be (2130\/60 - 35) + (-47)\/(-42). Are o and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -166 + -3?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/2 + 8 + -2. Suppose r*y - 75 = -2*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 207222 - -327?\nAnswer: 207551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-1 + (1 - (-6 - -2)) - 12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103 + 101 = -2*l. Is l\/(-9)*(-1659)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - 75?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*p**2 + 3*p**2 + 659327*p**3 + 5*p**2 - 659307*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -204, 2\/5, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2861 and 3.5227890583?\nAnswer: 2857.4772109417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(432) + (sqrt(3) - (sqrt(108)*4)**2) - ((sqrt(84)\/sqrt(4)*-4)\/(sqrt(1008) + sqrt(1008) + sqrt(1008) + 2*sqrt(1008)))**2)*-3.\nAnswer: 105*sqrt(3) + 129601\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*w**5 + 25*w**2 + 11*w**2 + 2*w**5 - 11*w**2 wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2098*h**2 - 1182*h + 1181. Give g(1).\nAnswer: -2099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -48*t - 113 + 545 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q - 2*n + 560 = 0, -n - 74 - 45 = -q. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkmf when four letters picked without replacement from keemfkkkmfkem.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 795.6695.\nAnswer: 3182.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22 and 45262?\nAnswer: 497882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 12 - 12 = 0. Let u = 2 + x. Let p = 3 + -3.3. What is the third biggest value in u, p, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*p - 111*p + 56*p - 5291 = 0 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 101213120012 (base 4) to base 8\nAnswer: 21473006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + 6 + -6 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of 5*w**3\/6 + 6*w + 46. Let g(b) = 16*b**2 - 17*b. Calculate h(g(j)).\nAnswer: 80*j**2 - 85*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 1154460 by 9.\nAnswer: 384820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 - i**2 - i - 1. Let g(p) = -1 + 4*p + 11 + 9*p**3 - 4*p**3. Let o(m) = -g(m) - 6*n(m). Calculate o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 AM and 10:14 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 6*p + p - p + p. Let w(r) be the third derivative of 0 - 9*r**2 + 0*r**3 - 5\/24*r**4 + 0*r. Give w(u(o)).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -3*l**3 + l**2 + 3*l + 2. Let g be m(-4). Calculate the highest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -p**3 - 16*p**2 - 8*p + 4. What are the prime factors of w(-17)?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.0281424 plus -0.3?\nAnswer: -1.3281424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 379200 divided by -1185?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (116*m - 72*m - 66*m)*(0 + 8 + 0) in the form p*m + x and give p.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -3*f**2 + 3*f - 2. Let g(x) = x**2 + 5*x - 7. Let h be g(-5). Let a(t) = t**3 + 6*t**2 - 8*t - 5. Let o be a(h). What is j(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -390, 5, -43.\nAnswer: -390, -43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 7*a - b + 1236 = 0, 0 = 5*a + 4*b - 1224. Suppose -5*i = -4*v + a, 3*v = -3*i + 126 + 87. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 7. Let u = -42 + 42.1. Suppose v - 2*v = -1. Sort d, v, u.\nAnswer: u, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1766598 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.999884 + -3. What is p rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a0b + 6121b?\nAnswer: 6202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -104 - -105. Let b be (-26)\/(-24) - q\/3. Which is greater: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -204*b**4 - 5*b - 1715. Let t(j) = -409*j**4 - 11*j - 3424. Let d(g) = 9*h(g) - 4*t(g). Differentiate d(q) wrt q.\nAnswer: -800*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 27*l**3 - 71*l**2 + 71*l**2 + 1 - 1 - 1 to the form g*l**3 + b*l + v + r*l**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7.1? (a) -1\/16 (b) -0.027 (c) -3\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v + 14. Let h be j(-4). Let c be (-6)\/(-9) - (39\/h - 2). Let g = 1 + -2. Sort -6, g, c in increasing order.\nAnswer: -6, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1320550 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 38578821\/(-12) - 5\/20. Let n = -4085098 + p. Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, -83, 0 in decreasing order.\nAnswer: 1\/4, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 814 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 3, s: 1, l: 5, m: 3, q: 1}. What is prob of picking 1 l, 1 m, and 2 h?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 126 a factor of 1230145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -b8f32b (base 16) to base 2\nAnswer: -101110001111001100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -63*u - 6300 = -42*u - 111*u for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9100.3 - 9100. What is the nearest to -96 in -2, 4, 0.5, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 438659509862.4 plus -2?\nAnswer: 438659509860.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 157276 is divided by 14039.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 271201 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 + 1378*x + 43682. Calculate l(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 9*m**2 + 151*m + 106. Let a be k(-16). Let q(j) = -18*j - 98. Calculate q(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1368 - -13.29.\nAnswer: 13.1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 384 = 5*w + 89. Suppose 68 + w = h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9 - 19. Let x be 12\/u*(-30)\/4. Calculate the greatest common factor of 81 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 4872 and -71 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-346)\/(-8) + 10\/(-40). Let g = -61 + q. Let t be 31\/g + 33\/22. Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 + 13 = 11*n + 2*m + 9, 0 = -5*n + 4*m + 37 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11, 27, 31, 17, -21?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003671 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 9 = -9. Let w(j) = 4*j**2 - 49*j - 18. Let h(v) = -3*v**2 + 34*v + 12. Let a(l) = 7*h(l) + 5*w(l). Calculate a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/2 - 47*o - 95\/2.\nAnswer: (o - 95)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(5103) + ((sqrt(5103) - sqrt(5103)*3) + 0 - sqrt(5103))))**2 + (-4*sqrt(5103)*-2 - (sqrt(5103) + 0)*-1) + 1.\nAnswer: 243*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j**5\/3 - 10*j**4\/3 - 32*j**3\/3 + 26*j**2\/3 + 28*j\/3 - 16\/3 = 0. Calculate j.\nAnswer: -2, -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -28 + -ad1c?\nAnswer: -ad46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 d, and 2 i when four letters picked without replacement from {d: 4, i: 7, a: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-14)*756\/(-162)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**2 - 8*c + 6. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61*w**3 - 162*w**3 + 107*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1 (c) 2 (d) 30\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.048 * 23.\nAnswer: 1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -49 - 11. Suppose 5*u - 5*s + j = 0, -u - 5*s + 8 = u. Let y(p) = -2*p + 2*p + 1 + 7*p. Calculate y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 11:02 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42 + -4. What is the units digit of k\/95 - 1356\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 300 - 22303?\nAnswer: -22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-5)\/4)\/((-1)\/8). Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 569, 591, 613, 635?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*d + 3*c + 11, -2*d = -c - 8. Let t(v) be the first derivative of 0*v**2 + d - v - 4\/3*v**3. Find the first derivative of t(i) wrt i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.24? (a) -0.22 (b) 0 (c) -0.1 (d) -0.03 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n = -28*n - 60. What is the closest to -2 in -4, n, 5, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**3 + 6*i**2 + 4*i + 4. Suppose -5*o - 50 = 5*z, -5*o + 2*z = -z + 10. Let n = 5 + o. Suppose -26 = 4*v + 3*r, n*v = -2*v + 2*r - 6. Determine d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**4\/17 - 3851246*z**3\/17.\nAnswer: 2*z**3*(z - 1925623)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -40 (base 5) in base 2?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = b - 4*u, -4*u + 0*u = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r + 2*r + r)*(8*r**3 + 39*r - 29*r**3 - 41*r) to the form v + w*r**2 + y*r + z*r**3 + i*r**4 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 39104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000695465 rounded to five decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 255\/104 + (-30)\/20 and 119\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-556)\/180 - -3)\/((-28)\/42).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 4. Let q(i) = 9*i**2 - 17*i + 14. Let m(j) = 5*j**2 - 9*j + 7. Let g(n) = 7*m(n) - 4*q(n). Calculate g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -31958.\nAnswer: 5\/31958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3\/2 + 1. Let v = -1 - -1.1. Which is the nearest to v? (a) -0.3 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 2\/3, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (3*v - 2*v - 5*v + (-5 + 6 - 4)*(-2 + 2 - v) + 1 - 2*v - 1)*(4*v + 0*v - 5*v) as o*v**2 + s*v + w and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2 + 4179*x + 277830.\nAnswer: 3*(x + 70)*(x + 1323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3919, -3910, -3889, -3850, -3787, -3694, -3565?\nAnswer: -3394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 z when four letters picked without replacement from zzzzkzziz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 - 2*g + 4. Let w(d) = d**2 - d - 3*d + 5*d + 3 - 4. Suppose -4*q = 2*i - 0*q, 0 = i + 4*q + 2. What is i*w(s) + l(s)?\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0*(1 + (-3)\/6). Suppose q = 5*i + 62 + 13. What is the tens digit of 2\/4*-2 - i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1090 + 551. Let r be 4\/(-22) + (-217)\/77. What is the units digit of (1\/2)\/(p\/180 - r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 103669960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*p + p - 10153 + 5*p + 5*p.\nAnswer: -3*p - 10153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 7653 by 3.\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be (8\/(-2))\/((-3)\/6). Let p(g) = -g**3 + 16*g**2 - 12*g - 5. Is p(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 41775 and 1275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*k = -27*k + 2. Suppose 0 = 5*a + 20, 31 - k = 2*y - 5*a. Suppose y*r - 86 = 219. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 708, -1, 31098, -3 in increasing order.\nAnswer: -3, -1, 708, 31098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2930*p + 1286283. Give l(-439).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-3) - (-3 - 145\/(-60))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000011447 to 7 decimal places.\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve z = -8 + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19919\/188298 - -33\/317. Calculate the common denominator of r and -59\/528.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 272674 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4*s + 6 - 22, -4*s = 5*w - 16. Let q = 901 - 903. Let d be (q + s)*2 + -1. Sort 4, d, -39 in descending order.\nAnswer: 4, d, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + -2. Let u(b) = -b**3 - 9*b**2 - 6*b + 11. Let z be u(-8). Put z, t, -3 in descending order.\nAnswer: -3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5126253750.\nAnswer: 2, 3, 5, 67, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, k: 1, h: 2, b: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2808)\/624*(-5)\/3?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2736 - 2746. Let p(q) = q**3 + 10*q**2 + q - 12. Give p(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 659 * 36.2\nAnswer: 23855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t - 22. Let a be y(-11). Solve a = 2*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c**2 - 2*c - 22. Suppose -3*p = 32 - 5. What are the prime factors of f(p)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1703309 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67860.\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21\/5 + -53\/15. Suppose 3*q - 17 = -4*s, 7 = s + s + q. Let m = 20\/11 - s. Sort 2\/15, p, m in descending order.\nAnswer: p, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 426*o**2 + 176*o - 1085. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 2\/3, 46422?\nAnswer: 46422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 9, l: 11}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 8*g - 36. Calculate w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2973*v + 365675. What is l(-123)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.11, 2\/5, -2\/9, 1\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 63 - 152. Let n = 126 + t. Solve 5*h + 9 = -4*p, -3*p + 7*h = 2*h - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -47.5 + 48. Let s(m) = 12*m. Let g be s(0). Which is the closest to g? (a) -5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10.453 in 3, -1, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 6*d + 6*d - 6*d**2 + 11*d - 28*d in the form q + y*d**2 + l*d and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(2\/13)*z**5)\/(z**1)**45)\/((z**2*z*z*z*(z\/(z\/(z*((z\/(z\/(z*z\/z**(-7))*z))\/z)\/z*z)))\/z)\/(z\/(z*z\/(z**(-2\/5)*z)))**23) assuming z is positive.\nAnswer: z**(-3968\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4207 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: Divide -246 by 58327.\nAnswer: -246\/58327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**7*v**(-2)*((v*v*v*(v\/(v*v\/(v\/(v\/(v**(-3\/8)*v)))))\/v*v*v)\/v)\/v**6*(v**(-6)\/(v**(-4)\/v))\/(v\/((v**0\/v)\/v)*v*v*v*v\/v**(-6\/5)) assuming v is positive.\nAnswer: v**(-263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - -314330?\nAnswer: 314332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 859 + 3*r**2 - 859.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/3636 and 31\/11152440?\nAnswer: 1126396440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 1) + 12 + -9 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 2*h**2 + 3. Let j(a) = -a**2 - 2. Let d(x) = -3*j(x) - 2*k(x). Let s(z) be the third derivative of -z**5\/20 + 17*z**2. Give d(s(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 4*h**3 + 2*h**2 + h. Let p be c(-1). Is p + 24 - (0 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 358*h + 2. Let l(k) be the third derivative of 2*k**5\/15 + 2048*k**2. Give n(l(f)).\nAnswer: 2864*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -178.357 times -3\nAnswer: 535.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/28 - ((-85)\/70 - 1). What is the nearest to -2 in z, -3, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3*n - 25. Let p be t(-10). What is l in l + 27*l - p*l**2 - l + 10*l - 35 + 3*l = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 3*t**3 + 4*t**2 - 7*t - 18. Let a be c(-5). Let j = -342 + 177. Let g = j - a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 535.5815kg?\nAnswer: 0.5355815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-11197*t**2 - 5090 + 5090)*(2 + t**2 - 2) as h*t**4 + j + l*t**2 + d*t**3 + c*t and give h.\nAnswer: -11197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 219 and 67598.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 14, 11, 3, -4, 403, -20 in descending order.\nAnswer: 403, 14, 11, 5, 3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1005976 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3125 is divided by 516.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -0.4 (c) -15 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 9\/3 - (0 - 1). Is x at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.0239 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 236.445 and -11?\nAnswer: -2600.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0934832 millennia to months.\nAnswer: 1121.7984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52*(17\/(-170))\/((-2)\/(-5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-91)\/13 - -2*2. Let p be 8 - -5*t\/15. What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (52 - 147 - -14 - 20) + 1 + 9.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -433*h**3 + h**2 + 230*h**3 + 218*h**3 as z*h**2 + u*h + y + p*h**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -13 by 185124.\nAnswer: -13\/185124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = -9*c + 3. What is the closest to 1\/3 in 0.02, -1, c?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -914603.9 to the nearest 1000.\nAnswer: -915000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 84779064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 38*k**2 - 7. Let r(l) = -117*l**2 + 19. Determine -8*j(t) - 3*r(t).\nAnswer: 47*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from illllclll. Give prob of sequence ic.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 363399791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add 77.14 and -26.45.\nAnswer: 50.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the third derivative of -41*m**6\/20 + 35*m**3\/3 - 208*m**2 - 1. Differentiate p(u) with respect to u.\nAnswer: -738*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 25 = 0, 5*g - 6 - 9 = v. Suppose -g*d + 6 = -5*d. What is the third biggest value in -8, 0.3, d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2. Let s be f(2). Solve -o + 3 = -s*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 192*i + 5*i.\nAnswer: -187*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**2 + 72772*z + 22526280.\nAnswer: 4*(z + 315)*(z + 17878)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -2*q + 14. Let n(z) = z**3 + 4*z**2 - 8*z - 8. Let s be n(-5). Let i be v(s). Solve -5*a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2833 = -n + 5*b, b + 25453 = 13*n - 4*n. What is the highest common factor of n and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-2) + 204\/(-136).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*r**3 + 12*r**2 + 29*r - 75832 wrt r?\nAnswer: 6*r**2 + 24*r + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -82 - -78. Let h be -4 + 1 + n + 11. Suppose -34 - 666 = -h*w. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = l - p, 8*p + 14 = 5*l + 5*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5.5 - -6. Let b = -3\/266 + -73\/266. What is the closest to -0.15 in b, -0.4, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1422427946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 852658 is divided by 1792?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -12\/17 (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 400809 is divided by 86.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 23, -2, -118, 0, 70 in descending order.\nAnswer: 70, 23, 0, -2, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 173.527802019 and -4?\nAnswer: 177.527802019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 48302869367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 57 divided by 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1296 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 - (-2 + -8 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 20 + -14. Let i(p) = -12*p**3 + 3*p**2 + 16*p. Let r(s) = -s**3 + s**2 + 1. Let y(n) = i(n) - 14*r(n). What are the prime factors of y(h)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*g - 29344 = -4093. List the prime factors of g.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 13c235 (base 13) to base 5\nAnswer: 110434342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 28 = -4*s, -4*s = -c - 3*c + 28. Let i(g) = g**2 + g - 13. Let k be i(0). Let h = s - k. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -346 + 348. Suppose -2*j = -4*j + 2*a + 4260, 2127 = j + r*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -2*q + 18, -q + 4*t = t - 10. Let n be (3 - q)*1*-3. Solve 3*z + 9 = -n*x, -5*z = -3*x - 6 + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 + -5ac6b?\nAnswer: -5ac6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/14 (b) -0.5 (c) 3 (d) 1\/13 (e) 0.24 (f) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 31598477*m**4 + 12051*m**2 - 716 wrt m.\nAnswer: 758363448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10728 and 629376?\nAnswer: 1888128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-31 - 0) + -4 + 8. What are the prime factors of m\/12*12\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 52917400 and 2960?\nAnswer: 105834800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 184 divide 617083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*z = -3*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -52*g + 2671*g**3 - 2699*g**3 - 2*g**2 - 36*g wrt g?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 2*v - 29, 0*h = -v - 2*h + 32. Is 4\/v + (-32991)\/(-231) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*c - 5*c**2 - 1 - 10*c**2 + 18*c**2 - 35*c to the form r*c + b + f*c**2 and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -71*q + 735. Let c be a(25). Is c at least as big as -1035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 3027*d + 0 - 138*d in the form r + q*d and give q.\nAnswer: 2889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/(-12) - (((-1951005)\/7812)\/85 + (-20)\/(-16)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.4089304l?\nAnswer: 408.9304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1295 - 10659 = 1088*r + 9806 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 159430234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1518462 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 9656\/4775 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 164\/861*(-6)\/40*60\/8.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 2*z - z + 27*z**2 - 12*z**2 - 13*z**2. Suppose 0 = 5*p - 2*p - 6. Does 10 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2162 - 0\/((-7 + -18)\/5). Calculate the highest common divisor of 46 and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/(-7))\/(15\/10). Let g = -2 - -2. Let m = g - 0.1. Put -0.4, m, t in increasing order.\nAnswer: -0.4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 - 5*v - 4. Let z(t) = t - 1. Let w(p) = -q(p) - 5*z(p). Let r(k) = k**2 + 16*k - 11. Let o be r(-17). Is w(o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 13*t - 14. Determine w(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 1061 - 48 = -5*p, 3*w - 1631 = -p. Let q = 395 - w. Sort q, 0, 3 in increasing order.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 4*z**2 + 111*z + 1437. Give s(-17).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/20)\/(-2*(-1)\/(-4)). Let p be ((-6)\/4)\/(u + (-13)\/10). Suppose -2*h - p*c + 174 = 0, -3*h - 2*c - 3*c = -256. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 102*f**3*k**2 - 3*f**2*k**2 - 41*f*k**2 wrt f?\nAnswer: 612*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that x**2 + 4\/5*x**4 - 2\/5*x + 11\/5*x**3 + 0 = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-35)\/16 - (8 - 11) and -87\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -333*l - 210*l = 69*l - 1224. Suppose -1 = 3*y + 4*a - 0*a, -13 = -y + 2*a. Suppose f + y*x = 27, x - 3 + 6 = f. Solve l*m - 10 = f*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/6 and -43\/8241554.\nAnswer: 24724662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 39*d**3 + 32*d**2 - 97*d + 36. Calculate o(3).\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-36))\/(((-90)\/(-2268))\/((-630)\/(-294)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 745*h**3 + 26*h**2 - 28*h + 37. Let c be a(-19). What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjxxxxjjjjjjjjj. What is prob of sequence jx?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 158478449 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**2 + 9*w + 84. Let a be o(17). Let u = a - -52. Let h be (-2)\/(-4) + 21\/6. Solve u = -h*l + 5 + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 6308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -57554, -57565, -57576?\nAnswer: -57587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 61631*p + 58492 wrt p?\nAnswer: 61631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + 1\/(-7))\/((-496)\/(-56) + -10). Sort 34, -3, 10, f.\nAnswer: -3, f, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -6038903 + 17982*j + 0*j**2 - 31709833 - 14767*j - 4*j**2 + 21361*j = 0.\nAnswer: 3072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -k + 87 + 39, -4*k - 71 = -3*p. What is the highest common factor of p and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(8\/9)*v*(((v**(6\/19)*v*v)\/v)\/v)\/v)\/((v\/v**(-4\/19))\/v)**(-5\/3))**(-3\/37) assuming v is positive.\nAnswer: v**(-23\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1502, 5651, 12554, 22205, 34598, 49727?\nAnswer: 67586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -659897*q + 1319185*q - 659290*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3*(-1)\/3 + 1. Solve 3 = h*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bpcsdbpbbbbbbq. What is prob of picking 1 q and 2 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-6)\/(7 + (-511)\/70). Calculate the highest common factor of k and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1746 divided by -194?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 258 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/5 of a hour in minutes?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.22386749 to 3 dps.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 636 minutes before 2:20 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*v**3 - v**3 - v**3 + (0*v + 2*v - 3*v)*(-4*v**2 + 3*v**2 + 0*v**2))*(-4 + 7 - 5 - 5*v) to the form g*v**2 + m*v**4 + r*v**3 + x + k*v and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 75543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11773718 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: Collect the terms in -52680*z**3 - 52659*z**3 + 105338*z**3 - 15.\nAnswer: -z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -3\/7, 1, -0.06, 12\/7 in ascending order.\nAnswer: -3\/7, -0.06, 0.2, 1, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-225)\/(-10)*1210\/15. Suppose 4*k = -4*a + 77 + 1747, -5*a = -4*k + l. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193 + 61 = -4*o. What is the smallest common multiple of o and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(3\/26))\/(((u*u**(22\/7)\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-187\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4 - -2)\/(-2))\/(1\/(-42)). Let q = a + 175. Let l = q + -50. What are the prime factors of l?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -0.02 (c) -86.2 (d) -5\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -37*s**2\/2 - 15927. Let q(w) = -10*w - 1. Determine b(q(h)).\nAnswer: 370*h + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**3 + 104*w**2 + 53*w - 4873. Give q(104).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*f + 15 = 15*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 63 - 228 = -3*u, 0 = u + 3*t - 97. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, x: 2, u: 3, l: 1, r: 4, h: 1}. What is prob of sequence luxh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16495*n**3*w + 879*n**2*w**3 + 27*w**3 - w**2 + 2*w + 34482 with respect to n.\nAnswer: -49485*n**2*w + 1758*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*y + 7758 = 5*y, -5*j - 2*y + 9687 = 0. Is 45 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 3*b - 1 = -16, 0 = -3*d + b + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1351 and 49?\nAnswer: 9457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -156*z**2 + 297*z**2 - 143*z**2. Let x(c) = 15*c**2 + 44. Give t(x(g)).\nAnswer: -450*g**4 - 2640*g**2 - 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 46, 4135, -14, -9 in ascending order.\nAnswer: -14, -9, 46, 4135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -10*j - 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/(-2) - (-23)\/7. What is the second smallest value in o, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 35566405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -139 in -5, 0.13, 13\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f - 13 + 13 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -5187, -4481, -3775, -3069, -2363, -1657?\n\"Answer: 706*r - 5893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u - 14. Let x be w(13). Let v be (x\/(-4))\/(3\/12) - -3. Which is the closest to -1\/2? (a) 5 (b) -1\/19 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the second derivative of 194481\/5*n**2 + 441\/5*n**4 - 12348\/5*n**3 + 1\/75*n**6 + 18*n - 42\/25*n**5 + 0. Solve f(q) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 219447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1272 smaller than 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -30 (base 9) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 523.6841 years?\nAnswer: 6284.2092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 35, 3, -5, 4, -31 in increasing order.\nAnswer: -31, -5, 2, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51941712 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 620, 1115, 1478, 1691, 1736, 1595?\n\"Answer: -3*k**3 - 48*k**2 + 660*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t - 2*r + 1056, 2*t + r = -0*t + 703. What is the highest common factor of 154 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 3*v + 98 - 24, 4 = -2*v. Suppose 28 = 5*h - i. What is the greatest common factor of 72 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-162)\/(-48)*((6 - -4) + -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 740 and 133718.\nAnswer: 1337180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -1 - 0.50955767\nAnswer: -1.50955767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1292 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -108.1 + 108. Let q = 22 + 28. Let g = 42 - q. Put g, x, 1\/4, 3 in decreasing order.\nAnswer: 3, 1\/4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 - -3.3. Let s = p - -0.1. What is the second biggest value in 0, -3, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*f**3 - 3*f**3 + 0*f**3)*(2 + 1 - 5) + 15*f + f**2 + 707*f**3 + 11 - 3*f - 709*f**3.\nAnswer: 4*f**3 + f**2 + 12*f + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 25 + 39. Which is bigger: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 take away 1051167?\nAnswer: -1051166.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-52 - 129 - 38 - 33 - 65)*(23*k**3 + 31*k**3 - 9*k**3) to the form i*k + a*k**3 + m*k**2 + j and give a.\nAnswer: -14265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**2 - 3*d**2 + 5*d**2 + (-4*d - 3*d + 5*d)*(-2*d + 3*d + d) - 36*d**2 - 217*d**2 - 25*d**2.\nAnswer: -283*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -246, -472, -698, -924, -1150, -1376?\n\"Answer: -226*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 25956 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -8 + 27?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58 is divided by 3\/(1 - 2) - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 765356?\nAnswer: 2, 191339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2943159 + 2943158.8000023. Let i = -1 + 0.8. Let m = i - y. What is m rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 3*n = -30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 8265 (base 9) to base 16\nAnswer: 17a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 507*f - 1011. Give i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 45. Let w = r - 27. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-30)\/9*(-21)\/14. What is the first derivative of -83*p**4 - j*p - 35 - 2*p + 7*p wrt p?\nAnswer: -332*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101010000110010010001111 + -100?\nAnswer: 101010000110010010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r + 719 + 81 = 0. Let y be r\/8*14\/(-7). Sort y, 5, 0 in increasing order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**2 - 12 - 49*t**3 + 60*t**3 - t**2)*(1 + 2 - 4).\nAnswer: -11*t**3 + t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68139 is divided by 6410.\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8 - -2) + (-748)\/(-102). Which is the nearest to 2\/19? (a) -2 (b) m (c) -165 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - 4a25?\nAnswer: -4a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 - 5a?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-6\/11)\/i)\/i*i*i*i)\/i*i*i*i**9)\/(i*i*i*(i*(i*i*i**(-38)*i*i*i)\/i)\/i*i**(2\/31)*i*i) assuming i is positive.\nAnswer: i**(13432\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15607341?\nAnswer: 3, 19, 107, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of -787*a**8\/42 + a**5\/60 + 1657*a**4\/24 + 13708*a**2. Find the third derivative of m(v) wrt v.\nAnswer: -377760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 5*x + 4. Let l be r(-5). Calculate the lowest common multiple of 111\/(-2)*14\/l and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -3*r - 32. Let p = -7 - -17. Let w = p - -48. What is the lowest common multiple of m(-14) and w?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 137220?\nAnswer: 1\/45740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -t + 7870*w - 7880*w + 11, 5*t + 89 = -2*w for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 49 - 71. Suppose -3*a + 5*a = -3*k - 1, 2*a + k = -o. Let g(m) = -36*m + 19. Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 5*o**2 + 140*o + 122. Calculate k(-27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12179 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - v + 6, 0*b - v - 8 = -3*b. Let q be 60\/(-18)*6\/(-4). Put -4, b, q in decreasing order.\nAnswer: q, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*t**2 + 2*t**2 + t**2 + (-2 + 4 + 0)*(2*t**2 - t**2 - 3*t**2))*(-1 + 7 - 4)*(1 - 2 + 2).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -21.45 plus -2962.28936?\nAnswer: -2983.73936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 98*q**4 + 679420*q**3\/3 + 130268776*q**2 - 663441360*q - 64366272 = 0.\nAnswer: -1158, -2\/21, 36\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 - l**2 + l + 4. Let k be j(-2). Suppose 1510 + 44 = k*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in 1\/5, 1.4, -0.1, 0.13?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-1)*6)\/(-2). Let r(f) = -1538*f + 2 + 1541*f - 1. What is the least common multiple of 2 and r(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + 4*i - 697933, 0 = -5*p + 140*i - 135*i + 697960. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -25*k**2 + 13*k + 4. Let a(i) = 49*i**2 - 25*i - 9. Let v(h) = 4*a(h) + 9*w(h). Find the second derivative of v(j) wrt j.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 48552 and 2282?\nAnswer: 7913976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 3, 7, 1 in decreasing order.\nAnswer: 7, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22761 and 105375?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 12 - 129. Let o = -75 - f. Let k = o - -50. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5990259 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 1:37 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 652784058 to the power of 1\/3, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 2, 0.1, -6, 0.07, 1\/5, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 18 (b) -6.601 (c) -1\/6 (d) -1\/4 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -4, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 180.73 + -180.65. Which is bigger: 2072 or l?\nAnswer: 2072","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 93 (b) -4 (c) 0 (d) 2\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 209*x**2 - 5837*x - 427. What is l(28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 5*a + 1473, 1800 = 5*u + 14*a - 12*a. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1072*d + 1068*d + 7 - 15 = 0, o + 2 = -3*d - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 140894 and 2106.\nAnswer: 11412414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (-1 - (-15 + 6 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pa when two letters picked without replacement from cnacpccpcph?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 3*g + 7 = -2, 3*t - 3*g + 3 = 0. Let h(s) = s**3 + 7*s**2 + 1. Let c be h(-7). Suppose 0 = -a - 2 - c. What is the nearest to 0.1 in a, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2)\/((-4)\/6) + 19 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*c**2*v**4 + 32*c**2 - 6*v**4 wrt v?\nAnswer: -8*c**2*v**3 - 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-12)\/(-18))\/(4\/12). Solve -2*u = k - 2, -2*u - 2*k + 14 = v*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q\/((q\/q**(-8))\/q*q)))\/q**(-4\/7)*(q**(-1))**(-31)*(q**(-1\/2)\/q*q*q\/q**5)\/(q\/q**(3\/5)*q**(-6)) assuming q is positive.\nAnswer: q**(2987\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 14 - -420?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2\/9 (c) 1 (d) -0.4 (e) -11954\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**3 + u**2 - 2*u - 4. What is l(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44207693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (-3)\/21 + -2 + (-32)\/(-4).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 3. Let b = 4 + q. Suppose 4*z - 4*u - 40 = 0, -b*u + 5*u = 4*z - 31. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 101 + -55. Let u = 28 - v. Let i = u - -35. What is the remainder when 82 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -101*a + 45*a + 33*a + 24*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbbk when four letters picked without replacement from {q: 7, s: 1, k: 4, v: 2, b: 2, o: 1}.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -6*q**5 - 4*q**3 - 26*q. Let o(b) = -3*b**5 - 2*b**3 - 13*b. Let g(t) = -2*f(t) + 5*o(t). What is the second derivative of g(u) wrt u?\nAnswer: -60*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 208770510 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -w**2\/2 + 60759*w\/2 + 8729435 = 0.\nAnswer: -286, 61045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10 and 240.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n - 4*v - 4 = -11*n, 2*v = 4*n - 2. Suppose n = -5*p + 3*q + 26, p + 5 + 1 = -5*q. Solve -6 + p = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3024)\/300 + 10)*(-2 - -3)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from whyshhwryhyswrsw. Give prob of sequence ryss.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4.915686 decades in years?\nAnswer: 49.15686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -213 or -137747?\nAnswer: -137747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f\/f**(-1\/3)*f)*f)\/f**8)\/(f**(-3)\/(f\/(f*f**6))) assuming f is positive.\nAnswer: f**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 2*p - 3*p)*(-5*p + 2*p + p) + 644*p**2 - 222*p - 64*p - 647*p**2.\nAnswer: 3*p**2 - 286*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 58553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -174 + 174 - 27206*c**2.\nAnswer: -27206*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -11*b + 4. Let w(g) = -2*g**2. Determine l(w(r)).\nAnswer: 22*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 307 and 7324099?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6 in -4, -3\/7, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7581 + -5086. List the prime factors of u.\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1047967?\nAnswer: 619, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/5)*d**(-1)\/d)**(-1) assuming d is positive.\nAnswer: d**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 57 = 23. Let p = -14 - -50. Let j = v + p. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 422677.\nAnswer: 167, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3531, 7009, 10487, 13965, 17443, 20921?\n\"Answer: 3478*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 74*j**2 - 48*j + 151. Is x(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 AM and 1:47 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(352)\/sqrt(2))**2 + 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**2 + 10*c + 16. Let x be v(-8). Suppose 8*g + 21 - 213 = x. Solve g = -4*t - 4*h, t + 4*h + 4 = -11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/5130216 and -11\/142506.\nAnswer: 5130216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 46 (base 16) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/y**(10\/11))*y*y)\/y**(2\/61))**(2\/101) assuming y is positive.\nAnswer: y**(3860\/67771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i and 1 d when four letters picked without replacement from iddddiididd?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -6\/3548965?\nAnswer: -6\/3548965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -710*q*w**2 + 24*q*w - 3*q - 2*w wrt w?\nAnswer: -1420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2346 + -2346. Which is the closest to 2\/5? (a) 2 (b) -40 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10119 (base 11) to base 8.\nAnswer: 34676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 96 + 79. Suppose -4*t = n - 38, t - 40*n - 5 = -38*n. What is the lowest common multiple of t and z?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 196608600 by 8548200.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -8934 (base 12) in base 14?\nAnswer: -574c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 + -11.03. Let l = x - 3.97. Which is the second smallest value? (a) -6 (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1368 is divided by 147?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 5 and -2057?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 5*q - 5. Let s = -317 + 318. Let x(h) = -h + 1. What is s*k(d) + 4*x(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2745 + -2754. Let n be 0 + -1 + 2 + -4. Is n\/i*(-1431)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22)\/(-11)*3\/33.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**5\/3 + 16*s**3\/3.\nAnswer: -s**3*(s - 4)*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1106338486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1994963\/836 + 10951\/76. Let f = 2241 + r. Is f less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 279 + 0 + -2 + 1. Let x be p\/8 - (-1)\/4. Suppose 0 = -m + 2*r - 4*r + 17, 5*r - 25 = 0. Calculate the highest common factor of m and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25562 is divided by 2313.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (5 - 3) + 56\/2. Suppose n = -0*u + 5*u. Suppose -u*q + 12 = -30. Calculate the greatest common divisor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ummmuum. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 18723.849 nanoseconds to minutes.\nAnswer: 0.00000031206415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2. Let b(t) = -860*t - 3888*t + 642*t + 1 - 1261*t. What is g(b(r))?\nAnswer: -28804689*r**2 + 10734*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1444929928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/((-16)\/(-12)) - -611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y - y - y)*(-2 + 2 + y) + 3*y**2 + 4*y**2 - 3*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-26)*13\/(-2))\/((-17)\/(7072\/12)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4, p: 2, j: 1, b: 8}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d + 5. Let h = -46 + 66. Suppose 20 = -4*v + h. What is x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2*i**2 + 1744*i + 7005. Determine w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3202 - -10?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -140*c + 3927. Let p be j(28). Suppose 4*t - 9 = 3*a + 3, t + 10 = 4*a. Solve -i - p = r, i + t = -i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-155)*(-15)\/6. Let p = d - 21\/155. Which is the smallest value? (a) 2\/3 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 29. Let x = m - -3. Let z = -0.4 + 0.9. What is the nearest to -0.1 in -2, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 370 = 5*h - 4*h. Suppose -5*o = -3*o - h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21)\/((1 + 4\/(-14))*162\/270).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-69 + 223 - 1)*(-29*m - 256 + 256).\nAnswer: -4437*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 84*s + 29*s + 34*s - 37*s + 3*s**3.\nAnswer: 3*s**3 + 110*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-6)\/8)\/((-4)\/224). Let p be (-5)\/20 - d\/(-8). Solve 0*i - p = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*h**3 + 748*h + 1 - 1504*h - 2*h**4 + 761*h + 8*h**3 as a*h**2 + k*h + d*h**3 + j + g*h**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -15.005 - -15. Let z = 0 + b. What is z rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 - -1. Suppose 29*l - 33*l = -44. Suppose -j = 3*v - l. Solve -r = -v*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -3) + (-3 - 0) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -16545? (a) 5 (b) 0.2 (c) 4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -31, 0.3, 1\/6, 1.\nAnswer: -31, -2, 1\/6, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 5*r - 413 - 282, 0 = 2*d + 5*r - 470. Let j = 300 + d. Does 57 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 - -17. Solve p*s - d = 2*d + 18, -3*s + 3*d = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196032769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32049666.\nAnswer: 2, 3, 11, 157, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 + -16993729?\nAnswer: -16993729.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 212 a factor of 4328255600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22095, -51707, -101055, -170133, -258935?\nAnswer: -367455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from ssssgsgs.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5430\/11765*(-26)\/(-126)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001994688 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 5:18 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10025304 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*a = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*j**6*y + 312018*j**4*y**2 + j**2*y**2 + 12271*y wrt j.\nAnswer: -240*j**3*y + 7488432*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g\/(g*g**(-9)))\/g)\/(g*g**(-1)*g)*g*g**(-2\/27)*g*g**8)**(-42))**15 assuming g is positive.\nAnswer: g**(-31990\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13 + -12. Let y(t) = t + 5 + 4 - 8. Let d(r) = r**2 - 2*r - 1. What is x*d(v) + 2*y(v)?\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 205, 1076, 2625, 4858, 7781, 11400, 15721, 20750?\nAnswer: 26493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -5*v + 11. Let m(b) = 2*b. Let g(k) = -2*m(k) - y(k). Give g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/103120136 and -145\/44194344.\nAnswer: 309360408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 8*a**2 + 2*a - 4. Suppose -2*u - 11 - 9 = -4*j, 0 = -u. Let z be b(j). Suppose 4*q = -6*t + 4*t + z, -280 = -5*q + 2*t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 12 + 4 = 0. Let y(r) = z + r - r**3 - 6*r**2 - r - 5*r. Let x(p) = p**3 + 12*p**2 - 5. Let m be x(-12). What is y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -38.1 + 13.9. Let j = d + 24. What is the nearest to j in -0.1, 2, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -12984 + 64205. Let w = a - -85568. Let c = w + -19047. Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -42 + 42. Let x be i + (141250\/3)\/(2\/(-1440)). What is x rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 94, 218, 342, 466, 590?\n\"Answer: 124*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 25 + 6)*(2*d + 0 + 0)*(0 + 4 + 0) - 16 + 16 + 16*d to x*d + o and give x.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*w - 6*p + 90, -2*w + 232034*p = 232029*p - 69 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 84*q - 31*q - 26*q - 33*q. Let m(y) = -325*y. Give m(i(a)).\nAnswer: 1950*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 d when three letters picked without replacement from zzzdzzedezzde?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 6994 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 4*u - 2. Let n(y) = -3*y + 2. Let l be ((-3)\/(-5 - -2))\/((-1)\/4). Determine l*b(c) - 5*n(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7265 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 70\/(-21) + (-10)\/6 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 1997 = 3*h, -4*h + 649 = -3*h - 4*g. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 5 = 3, -10 = 2*x + 5*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/3, -3, 0.5, -31, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 6 = -2*s, -4*s = 2*z - 5*s - 12 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wieiwwewwrwre. What is prob of sequence irre?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that 14450*o**3 + 41140*o**2 + 27072*o + 5184 = 0.\nAnswer: -2, -36\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 160 and 6?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = -10*f + 192. Let q = 6 + -4. What is the least common multiple of f and q?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/17, -4, -2, 0.4 in decreasing order.\nAnswer: 0.4, -2\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let 18*r**4 + 2253*r**3 + 21069*r**2 + 2700*r - 6900 = 0. What is r?\nAnswer: -115, -10, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 873623 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (1 - -16) - -10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -215301*j**4 - 241709*j?\nAnswer: -2583612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-30 + 35)\/(((-1)\/1)\/(-1)). Suppose w*f - 25 = 0, 0*f - 18 = -y - 2*f. Let t = y + 28. Calculate the least common multiple of t and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/21*4)\/(36\/(-54)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 2*t - t = -304, 0 = -4*g + 3*t - 228. Let v = g - -126. Suppose -7*l + v = -l. Solve -l - 9 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-2*sqrt(3520))\/(-5*sqrt(45)).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-22)*-143*(-232)\/104.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u. Let g(s) = -s + 2*s + s - 10*s. Determine g(x(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(252) + 0 - sqrt(252))*4 - sqrt(252)) + sqrt(252))**2 - (-2*(-3 + sqrt(112)))**2.\nAnswer: -484 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2. Let l = 7 - 5. Let g(u) = 3*u**2 + 4*u**2 - 8*u**l. Determine f(d) + 3*g(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 3*n + 76. Let k be n\/(-3) - 12\/18. Suppose 22 + k = 2*w. What is the remainder when 48 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1649 or 1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 - -9. What is the common denominator of 46\/3 and 844\/(-96) - f\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 14*d + 6 + 2 + 3. Let r(p) = 5*p + 4. Let t be (-9 + 5)*(-3)\/(-4). Determine t*b(k) + 8*r(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**3 + 4*n**2 - 2*n - 3. Let x be l(-4). Let u be ((-6)\/(-10))\/((-25)\/125). Sort x, -2, u in descending order.\nAnswer: x, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 6 = -2*l, 4*s + 4*l = 924044. Suppose 26*n - s = -35*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - 5*i. Is -1\/69 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -341 - -92595.\nAnswer: 92254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -52232701?\nAnswer: -2\/52232701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -9 (b) -0.1 (c) -1\/6 (d) -0.95 (e) 83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 4)*(110 + 191 - 396)*(-2 - 6 + 47)*(2 - 2 - 1)*(3*f - 3*f + f)*(-2 + 1 + 2).\nAnswer: 7410*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 63\/605, -1\/9, -6, -1\/4.\nAnswer: -6, -1\/4, -1\/9, 63\/605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*b**5 - 45870*b**4 + 19981992*b**3 - 1716053808*b**2 - 79926768*b + 6864949152 = 0 for b.\nAnswer: -926, -2, 2, 786\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -21 (base 5) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 90829201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be 95 - 91 - (-24)\/(-7). Let d = 7397\/7 - 1055. Factor a*x**2 + 0 - d*x.\nAnswer: 4*x*(x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 AM and 10:13 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(1\/3)*(v*v**(-9))\/v*v**(-1\/21)*v*v**(-29\/5) assuming v is positive.\nAnswer: v**(-438\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -478 divided by -5.\nAnswer: 478\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 30481 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 3, 0, -2\/9, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1065\/1876 + 1\/268. Do 2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 + 33*v**2 - 56*v - 1718. Give m(-33).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 o, and 2 m when four letters picked without replacement from {a: 4, j: 2, o: 2, b: 1, m: 5}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(854\/364 - 6\/(-39))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 40082595 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 8 = 2*y, -2*l + 5*y - 3*y + 8 = 0. Let o(v) = v**2 + v - 4. What is the units digit of o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 3, e: 3, f: 3, r: 5, t: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101 + 100?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**2 - 4*u + 26*u - 12*u - 26 - 8*u - 6*u to x + j*u + s*u**2 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2698 is divided by 1339.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1043 a factor of 1671662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 290482 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be (29 + -28)\/(-4 - 1\/((-4)\/12)). Let n(p) = -p**3 - p**2 + p + 1. Let o(m) = -2*m**3 - 14*m**2 + 3*m + 3. What is z*o(g) + 3*n(g)?\nAnswer: -g**3 + 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 - (1 - (-3 - -5)). Let k = 55\/46 + 7\/23. Which is the smallest value? (a) 5 (b) -0.3 (c) x (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 237537 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -12*h**2 - 274*h. Let a be q(-23). Sort -5, -4, 0, a in descending order.\nAnswer: 0, -4, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 2 + 5)*(-196*c + 3 - 4 + 282*c) - 5*c + 0*c + 0*c in the form q*c + v and give q.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d - 19 + 40 - 21.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -3*u**2 + 334*u - 2099. Let q be w(89). Which is smaller: 3866 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*m - 48 = -97 - 38. Solve -3*j**2 + 7\/4*j + 1\/2 - 45\/4*j**m = 0.\nAnswer: -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -140815 - 92473 = 9833*a + 2704 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v - 3. Let x(z) = -4*z - 13. Let c(h) = -26*u(h) + 6*x(h). Let i(s) = 924*s + 928*s - 1837*s. Calculate i(c(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 451 + -451.00533. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the second derivative of -237*n**5\/10 - 501*n**2 - 284*n. Find the first derivative of g(i) wrt i.\nAnswer: -1422*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-6)\/21 + (-170)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15770 - 6515. Let v be o\/105 - 2\/14. Suppose 0 = n - 0*b - 2*b - v, 0 = n - 5*b - 91. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) 29\/3994\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**2 - 4*v - 45. Let c be x(-4). Suppose 4*i = -c*m + 209, 5*m = 4*i - 0*m - 185. What is the least common multiple of i and 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4688992 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c**3 - 8*c**2 + 4*c - 13. Let n(b) = b**2 - 7*b - 3. Let z be n(6). Let r be j(z). Suppose -7*k = -3*k + r. Which is bigger: k or -9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = l + 3. Let d be l - (-4 + (0 - -10)). Sort -2, d, -7 in descending order.\nAnswer: -2, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -20*p + 26*p - 48 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -3)*(7 - 4)*7\/(-98)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -2*m**3 + 116*m**2 + 125*m - 414. Calculate j(59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (14*s - 11*s + 13*s)*(-3 - 5 + 4)*(2 + 1 + 0) in the form i + c*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 1 = 106. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/17*(-2)\/((-6)\/3))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (234\/20*35*(-8)\/(-1680))\/((-3)\/(-4))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of ((-12)\/(-15))\/(-5*5\/(-1875)) and -2 - 6*(-4 + 2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*u - 8*u - 5*i + 75 = 0, 4 = i. Let d = 0.8 + -2.8. Let x = d - -1.6. What is the closest to u in -0.5, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54599 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:28 PM and 1:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -171126 + 6?\nAnswer: -171120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -1190223 + 980*y + 1190223. Let x(b) = 3*b. What is x(t(m))?\nAnswer: 2940*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-3\/2))**(13\/2)\/(o\/(o*o\/o**(2\/3)))**(-29) assuming o is positive.\nAnswer: o**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 2*j - s + 914, 0 = -5*j - 4*s - 2243. Let w = -56 - j. Suppose -4*a + 121 + w = 0. What is a rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**2 - b**2 - b**2)*(-2*b + 2*b - b)*(0*b**2 + 2*b**2 - b**2).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -2*l**2 - 11*l + 40. Let w be k(-8). Sort 23, -3, 3, w in descending order.\nAnswer: 23, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 + 9. Suppose -5*c + 3*c - w = 0. Let d(s) = 2*s + 2. Let y(n) = -n**2 - 5*n - 5. Determine c*y(k) - 5*d(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -a8995 (base 11) to base 13.\nAnswer: -57052","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, i: 6, w: 2}. What is prob of picking 2 w and 2 g?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-48)\/(-8))\/6*(-1)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 2:27 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -226, -224, -220, -214, -206?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n**5 + 36*n**4 - 88*n**3 - 1164*n**2 + 2970*n + 13608 = 0 for n.\nAnswer: -4, -3, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = -374 + 1348. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6 + -8. Let q = l + 8. Suppose 0 = 2*s + 48 - 56. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (80\/15)\/((-3)\/(-18)). Suppose -5*y - 10 + l = 4*a, 5*a - 15 = 0. Sort y, 107, -1 in decreasing order.\nAnswer: 107, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/(11*8\/(-44))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*(p**(3\/4)\/p)\/p)\/(p**(-2\/11)\/p))**(-27) assuming p is positive.\nAnswer: p**(-1107\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 24. Let o(t) = -t - 3. Let u(y) = 4*o(y) + v(y). Let b(w) = -9*w + 28. Let g(c) = -3*b(c) + 7*u(c). Let i(z) = 2*z + 1. Give -6*g(s) - 2*i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1774278500 to the power of 1\/2, to the nearest integer?\nAnswer: 42122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 116, 236, 358, 482, 608, 736, 866?\n\"Answer: p**2 + 117*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.495 and -0.05.\nAnswer: 0.07475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5600960*f**5 + 3640*f**2 - 1148*f.\nAnswer: 336057600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/10*-4)\/((-10)\/(-25)). Suppose -3*d + u*l = -154, -l + 42 = d + 3*l. Let t be (50\/(-4))\/(1\/(-2)). What is the highest common divisor of d and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/2*(-1)\/10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165*m**3 - 2*m**2 - 151*m**3 - 173*m**3 + 2*m**2 + 487*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 247, -275, 5, 3 in descending order.\nAnswer: 247, 5, 3, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**6)\/l*l*l**(-1)*l*l)**(-28) assuming l is positive.\nAnswer: l**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 165788636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 27*b**5 + 4761*b**4 - 42954*b**3 + 62010*b**2 - 27729*b + 3885 = 0.\nAnswer: -185, 1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n - 4*n - 3*n)*(-2*n**3 + 6*n**3 + 2*n**3)*(-19 - 74 - 22).\nAnswer: 2070*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 3*t - 149736, -3*k - 2259*t + 2264*t + 149688 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 737, 1527, 2317, 3107, 3897?\nAnswer: 4687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-561)\/(-6) + -3*1\/(-6). Let b = -92 + f. Solve -b*w = -n + 8, 4 = -4*w + 3*n - 4*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of o**5\/90 + 4*o**4\/9 - 17*o**3\/9 + 3*o**2 - 22. Find u, given that p(u) = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3954 + -130480\/33. What is the third biggest value in c, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zf when two letters picked without replacement from zxcxxxxzf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/((-18)\/10))\/(((-24765)\/234)\/(-127)). Let r(v) = v. Let p(x) = 7*x - 3. Give k*r(s) - p(s).\nAnswer: -5*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + 3*v - 48, -v = s - 2*v - 8. Let u be 1\/(((-21)\/s)\/(-7)). Suppose 5*m = 2*t - 18 - 10, 4*m + 80 = u*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 2*p + 2*z - 889, -2*z + 18 = 0. Let t(g) = -28*g - 2. Let x be t(-3). What is the highest common factor of p and x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - 1. Suppose -v + 8 = 5. Let u be 33\/(-11) - -2*v. Solve -h + 0 - u = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.065296+315\nAnswer: 314.934704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 - 69*d**2 + 155*d - 263. Let o be y(69). Round o to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 - -17. Suppose -8 - a = 5*t + 5*r, 3*t - 3*r - 24 = 0. Suppose -12 + 0 = -t*i. Solve 35 = -5*l + q - 3*q, -40 = 4*l + i*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 64 + -18. Suppose r - l = 3*c - 13, -c - 165 = -4*r. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1576 and 120761?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -8*s + 45. Give t(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 220*d**3 + 0*d**2 + 0*d**2 - 243*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 0 + 36 + 9 + -41 + 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = 3, 5*g - 23 = 71*r - 70*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2805 divided by -51.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 8 = -0*i. Let c(l) = 3 - 1 + 2 + i*l. Let n be c(-3). Is n >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**3 - 11*p**2 + 9*p + 4. Let k be t(10). Calculate the remainder when 93 is divided by (21\/k + 3)*-48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 322598?\nAnswer: 2, 23, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 309*n**2 - 2*n + 54. Suppose -3*d + m = 16, -3*d - 31 = -32*m + 34*m. Is v(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/49 and 73\/11124526.\nAnswer: 77871682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y**4\/2 - 43*y**3\/2 + 119*y**2\/2 + 43*y\/2 - 60 = 0. What is y?\nAnswer: -1, 1, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 231 + -223. Suppose -37 = -5*m + c. What is the greatest common divisor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 4*h**3 + 3*h**2 - 3*h - 5. Let j be t(3). Suppose 5*o = j - 31. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -161.08261 take away 1.4?\nAnswer: -162.48261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 3*z + 2. Let s(b) = b + 20. Let k(q) = q + 15. Let v(j) = 4*k(j) - 3*s(j). Determine -i(x) + 4*v(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/4824 and 9\/229138?\nAnswer: 552680856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -96*k**3 - 39*k - 30*k**4 - 24*k**4 + 50*k**4 + 23*k + 4*k**2 + 112*k.\nAnswer: -4*k*(k - 1)*(k + 1)*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 1:24 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 + -4. Let c be (-3)\/(5 - 2) + 3. Suppose -t = c*v - 0*v. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 AM and 8:01 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 1 - (-7 + (17 - 11) + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-30)\/(-2)*(0 + 2). Suppose k - i = 58. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (29 + -27)\/(-1 - -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/136 + (-133)\/(-119). What is the greatest common factor of 25 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 80538, 161086, 241634, 322182, 402730, 483278?\n\"Answer: 80548*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*v - 19 + 8 = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i. Let x be (-2 - (2 + -3))*-6. Let b(r) = -x*r**2 + 4*r**2 - 3*r**2. What is b(j(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -221, -2\/3, -3\/19, -1254?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9746641?\nAnswer: 23, 61, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (10*z + z - 3*z + (-15 + 4 - 2)*(22*z + 5*z - 2*z))*(-2*z + 2*z - 2*z) as r*z + q + i*z**2 and give i.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*c + 3655 = 109*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(2\/9)\/z**(2\/63)*(z**6\/z)**1 assuming z is positive.\nAnswer: z**(109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (36*g - 11*g + 9*g)*(2 + 7 - 6) to o*g + b and give o.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 125556369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4364926798 to the nearest integer?\nAnswer: 66068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 467 is divided by 456?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be -6 + (-24)\/(-6) + (3 - 1). Suppose 0*c - 2*c = -3*f + 344, -5*f - 3*c + 567 = x. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tyy when three letters picked without replacement from yyytty?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-35\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 8, l: 2}. What is prob of picking 1 s and 1 l?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 817 a factor of 389512920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -4*a, r - 13 = -31*a + 28*a. Let h be -2*(r - (-1 + 5)). Solve 5*c = h + 3, 5*c - 21 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2244, -0.3, -1?\nAnswer: 2244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(900) - (sqrt(900) - (sqrt(900)*2 - sqrt(900) - sqrt(900))*-5)))\/((sqrt(147) - (sqrt(147)*-4*-3 + sqrt(147)))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.33, 3\/8, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 15 - -10) + (1 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -5 + (sqrt(171) + 3*(sqrt(171)*5 + sqrt(171) - sqrt(171)))\/((-4*-4*sqrt(9) - sqrt(9)) + sqrt(9)) + -2.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (105\/(-15))\/7*(-5)\/7\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 1406?\nAnswer: 15466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15940, 31701, 47276, 62665, 77868?\nAnswer: 92885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 43 - -3563. Suppose 0 = -31*l + 25*l + c. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/((h*h**(-4))\/h)*h)**(7\/2)\/(h**(-3\/2))**(8\/15) assuming h is positive.\nAnswer: h**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2333358 + 9691758 = -2*u + 4*q, -q = -4*u - 14716800. What is u rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrb when three letters picked without replacement from bbbbrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 50*f**5\/7 - 7660*f**4\/7 - 43984*f**3\/7 - 76064*f**2\/7 - 25568*f\/7 + 25408\/7 = 0.\nAnswer: -2, 2\/5, 794\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 24938 (b) 0.1 (c) 6 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.03 and 34.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**2 - 4*d**2 + 5*d**2 + (-10 - 1 + 0)*(-3*d**2 - d**2 + 2*d**2).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 911*q**3 - 175*q**2 - q**4 - 911*q**3 + (-136*q**2 - 5*q**3 + 136*q**2)*(0 + q - 2 + q) to the form c*q**4 + x*q**2 + p*q**3 + k*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -6*g. Let m(k) = 152*k + 339. What is a(m(i))?\nAnswer: -912*i - 2034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 116 + -147.8. Let g = k + 33. Let v = 1.4 - g. Which is the second smallest value? (a) v (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -10 + 11. Suppose g = -2*b + 7. Suppose 5*r - b = 4*r. Solve 2*m - r = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-d - d + 3*d)*(-884*d**2 + 380 - 380)*(-3*d - 3*d + 4*d) in the form g*d**4 + n*d**2 + c*d**3 + x*d + r and give g.\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/3333996 and 77\/1111332.\nAnswer: 3333996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-55)\/33 + (-289)\/3. Let w = i - -95. Let y(x) be the second derivative of -x**5\/20 - x**4\/4 + x**3\/6 - x**2\/2 + x. Determine y(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16897 - 11090. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-4270)\/(-34405)*(5\/30 + 0) and 26\/27.\nAnswer: 26541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 222*v**2 - 152*v + 411*v - 257*v.\nAnswer: 222*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 789726 and 12?\nAnswer: 1579452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -22 - -33. Let t = -17 - -28. What is the highest common factor of p and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31750 (base 8) in base 6?\nAnswer: 141304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48243 divided by -16.\nAnswer: -48243\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most 1\/14420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0031342 rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 2, h: 2, o: 1, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -28. Suppose 4*q - c = 13. What is the third derivative of 8*n**5 - 11*n**q + 3*n**2 - 11*n**2 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, j: 3, e: 1, b: 4}. Give prob of sequence bwbj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 7, q: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4\/21 - 5\/84. Which is the smallest value? (a) i (b) -2\/9 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 66485 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.86 + 8. Let r = -0.44 + p. Which is the nearest to 0.2? (a) r (b) 7\/2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8 + 8.2. Let k = -0.0563 - 4.9437. Let b = 4.1 - 0.1. Sort b, k, y in ascending order.\nAnswer: k, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 + -2. Let k = x + -18. Let f = k - -28. What is the greatest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5.801704 years?\nAnswer: 69.620448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*h**3 - 20*h**3 + 36*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 129521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ljydjdypdzdzzddjjyz. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 3*t + 26 + 16, 2*t + y = -23. Let f = -1 - t. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -119.9 - -128. Let y = w - 8. Let j = -1838\/17 + 108. What is the biggest value in j, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.14 + 5.86. Let q = p - 3. Sort -0.5, q, 0.3.\nAnswer: -0.5, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*q**4\/2 - 3*q**3 + 93*q**2\/2 - 42*q = 0. Calculate q.\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 36544 and 2759643?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:34 AM and 3:54 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -9*u + 7. Let o = -1635 - -1641. Let d(g) = -g + 1. Suppose 10*x - 9*x + 1 = 0. Determine o*d(f) + x*v(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 984 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 10:41 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14147*s**5 - 7*s**4 - 52*s**2 + 6*s + 23.\nAnswer: -848820*s**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1)*y)\/y)**(-1\/5)*(y\/(y**(-1)*y))**(-11) assuming y is positive.\nAnswer: y**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 - 2)*(12*p - 75*p + 37*p)*(1 + 2 - 6) as b + v*p and give v.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f*f\/f**(-1))**(5\/7))**(1\/15))**(-3\/8) assuming f is positive.\nAnswer: f**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2*i**2 + 5333*i + 172683. Calculate v(-32).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyxsjxbfyysyyxx. Give prob of picking 2 y and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 318*g + 316*g - 1265*g + 316*g + 311*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -102102 (base 3) to base 14\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the second derivative of 2*l**5\/5 + l**4\/12 + 8*l. What is the third derivative of x(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27 + 28. Let m be (5\/(-310))\/((-4)\/(-8)). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from 329422895025.\nAnswer: 329422895025.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in o + 307 - 96 - 96 - 115.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1941492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7954, 7879, 7806, 7735?\nAnswer: 7666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 10 + 17579?\nAnswer: 17589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 828 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 14054265509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-4816)\/256 - (-40 + (-252)\/(-12))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-28)\/(-35))\/(8\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5946764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(2\/(2\/3)). Let o = 885\/4 + -222. Which is the smallest value? (a) o (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8484 = 235*d - 4379 + 878 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**8)**17 assuming b is positive.\nAnswer: b**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 45 = 3*b. Let o(g) = g. Let l be o(0). Suppose -4*y - 4*d - 1 - 3 = l, 17 = 3*y - 2*d. Calculate the greatest common divisor of y and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 129 and 21165?\nAnswer: 910095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*c - 9*c + 26 = 0. Suppose -c = -5*o - 3. Solve -4*s - d + 9 = 0, -o*s + 5*s = -3*d + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be -7 - -7292 - (-2 - -1). Suppose -1456 = -s - 3*t + 2*t, -5*s = -t - v. Let r = s + -916. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10111110 (base 2) to base 13.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 2*v = -y + 2, y - 4*v + 4 = 0. Suppose y*t + 5*t - 90 = 0. Let c = 20 - t. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1911559*g**3*i**3 + 115*g**3*i + 2*g**2*i + 6*g*i + 33*g + 2*i**3 - 3*i wrt i.\nAnswer: -11469354*g**3*i + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 408 minutes before 12:24 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -19) + (72 - 47) + -1 + -11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dygddgyygdgkzygkyd. Give prob of sequence gdy.\nAnswer: 125\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -93 divided by 19557\nAnswer: -31\/6519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9)\/6*(-32)\/(-12). Is 22 a factor of (11\/(-4))\/(j\/64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 7100.\nAnswer: 3\/7100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -184*j + 227 wrt j.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + 7. Let j = -18 + d. Which is the closest to 0? (a) 0.3 (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of -7*m**7\/30 - 7*m**6\/40 + 61*m**5\/30 - 5*m**4\/2 + 4*m**3\/3 + 176*m**2. Factor t(x).\nAnswer: -(x - 1)*(x + 2)*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8*(-6)\/(-192))\/1 + 5\/10. Solve -9\/4*d**3 - 3\/2*d**4 - a*d**2 + 0*d + 0 = 0 for d.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-98)\/(-8) - (-2)\/(-8). Suppose 5*h - 9*h + c = 0. Let s be h*2*103\/6. Round s to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1018 - -1018.2. Let x = -105 - -101. Which is the nearest to i? (a) x (b) -1 (c) -1.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1092, 1366, 816, -558, -2756, -5778, -9624?\n\"Answer: -412*i**2 + 1510*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2876 + -2872. Solve 0 = -4*q - s*a + 28, -101*a + 100*a = 2*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 1686514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -560*p**3 - 13*p**2 + 3*p + 13?\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8420 + 13639. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 8*u = -4*w - 17, 3*w - 2*u + 11 = 0. Let g(v) = -v - 9. Suppose -14 = -6*f + 8*f. Let p be g(f). Is w less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 2*r + 6073 = 0, h + 3*r - r - 6081 = 0. Let o = -4146 + h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*f**3 - 4*f**3 + 0*f**3)*(65101 - 24961 - 22951) to p*f**2 + q*f**3 + w*f + v and give q.\nAnswer: 17189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 105 + -104.8. Let h = -549.1 + 549. Let d be 2\/((-4)\/3)*2. Which is the biggest value? (a) h (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 + 18633*z - 6205*z + 3 - 6208*z - 6212*z. Let q(s) = 3*s**2 - 15*s - 5. Give -3*q(c) - 5*v(c).\nAnswer: -4*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3\/3 + 271081*j**2\/3 + 3252540*j.\nAnswer: j*(j + 36)*(j + 271045)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e7a6d + b?\nAnswer: 1e7a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-32*r**2 - 23*r**3 + 32*r**2 - r**3 + 3 - 3 + (3*r + r - 2*r)*(2*r - 2*r + r**2) + 0*r**3 + 5*r**3 - 3*r**3)*(4 - 4 - 1).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4 (b) -6\/593 (c) -1 (d) 5 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 - 5*m**2 + 7*m + 10. Let d be z(-6). Suppose -2*i = -7*i - 10. Put d, 5, i in increasing order.\nAnswer: i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 4*x**2 + 3*x - 3. Let p(z) = z - 3. Let o be p(6). Let q = o + -1. Let c(f) = 9*f**2 + 7*f - 7. Determine q*c(n) - 5*d(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 - 13*o - 5. Let z be d(-12). What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from hhkhxhkxxahhxhh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**3 - 2*p**2 + 9*p - 17. Let z be f(5). Let g = z - -120. What are the prime factors of g?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -9491 + 3162 + 15589*z + 3169 + 3160. Let v(r) = r**2. What is u(v(a))?\nAnswer: 15589*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10838 divided by -5.\nAnswer: -10838\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-511)\/(-1022)*((-5)\/25)\/1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4454.945kg in grams?\nAnswer: 4454945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1100, 3, -140 in ascending order.\nAnswer: -140, -2, 3, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (9422*w + 2 - 16275*w + 8633*w)*(w - 4*w - 2 + 0*w).\nAnswer: -5340*w**2 - 3566*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + (-180)\/(-25))\/((-27)\/297).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 278 + -259. Factor 21*t**2 - 665*t**3 - 672*t**3 - 39*t + 1336*t**3 + l.\nAnswer: -(t - 19)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 8) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14444 and 9077740?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -625, -626, -627?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 - -10220112102002001?\nAnswer: 10220112102002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, -10, -1412 in descending order.\nAnswer: 2, -5, -10, -1412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 4*p**2 - 4*p**2 - 19*p**3 - 3*p**2 + 1. Calculate the remainder when d(-2) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 1\/15 (b) -1790 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(3) + 1)**2 - sqrt(3) - sqrt(12)*-1)*-3.\nAnswer: -117 - 39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/15, -2\/57, -2, -0.069 in increasing order.\nAnswer: -2, -0.069, -2\/57, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10959 and 729195?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*y - 4*d - 40, -9*y - d - 88 - 24 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/81 and -50\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -10*p**3 + 3*p - 15. Let w(j) = 9*j**3 - 3*j + 13. Calculate -6*f(z) - 7*w(z).\nAnswer: -3*z**3 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 63935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14883 is divided by 240.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 2*c**2 - 26*c - 3. Give i(16).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 21 = 29. Calculate the common denominator of 3 + ((-254)\/20)\/(j\/(-2)) and -41\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 2:54 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6230\/9279 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 10 = 2*d, 2*i = -2*i - 5*d - 18. Suppose 0 = 3*l - 5*z - 1, 3*z - 9 = 3. What is the remainder when 2\/l + (-243)\/i is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -28, 2\/3, -1\/5, -1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.8, -0.5, -1, 0.01, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.716 - 2.69298. Let g = o - 0.0423. What is g rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 - 28. Let h = v + 20. Which is the smallest value? (a) h (b) 3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1, -1, -13, 35.8, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 200 - 202 + 5*f - 7*f + 6346*f**2 + 6*f - 2*f to g + l*f + d*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 530 and 9998040.\nAnswer: 529896120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*a**2 - 3*a**2 - 2*a**2 + 26 + (-3*a + 0*a + 0*a)*(-2*a + 4*a + 0*a) - 3*a - 2*a**2 + 3*a.\nAnswer: -10*a**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 + 5*j - 12. Let w be z(-7). Let o(k) = 6*k**2 - 2*k**2 + k**2 - k**w. Let c(u) = -2*u. Calculate c(o(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 25.667199 - 25.67. What is s rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 736.6526 millennia?\nAnswer: 736652.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 69 - 102. Let o = 1939457.99964 + -1939491. Let l = o - k. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 1:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -81*g**2 + 90*g + 7. Let m be r(7). What are the prime factors of m\/(-4) - (-14 + 13)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*f**4 - 7*f**2*m**3 - 121*m**3 wrt f.\nAnswer: 40*f**3 - 14*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/3, 1\/5, -3.2, 3, 5 in decreasing order.\nAnswer: 5, 3, 1\/5, -2\/3, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2 or -3846?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*i**2 - 15555*i - 62140.\nAnswer: -5*(i + 4)*(i + 3107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 250264.\nAnswer: 2, 7, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 1052824.5 months?\nAnswer: 877.35375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 + 8*d**2 - 20*d + 13. Calculate f(8).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -321 = -148*v + 41*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 6*s = -8 - 44, 15*s - 12*s + 31 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 96445, 95688, 94427, 92662?\n\"Answer: -252*g**2 - g + 96698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-41)\/(13325\/78))\/(6\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -15*p + 512. Let q be u(34). Solve 0 = 4*t - 2*t + 8, -t + q = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2265 + 585 = -12*m. Suppose 129*q + 33 = m*q. Solve 4*h = -4*a, 2*a + 2*h - q*h = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/11 in 3\/14, -4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 + 15. Suppose 2*d - 6 = -d. Let x(i) = d*i + i - 2 - 5*i. What is x(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2875)\/150)\/(11\/(-6)) + -11.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 5*x + 176 - 199 = 0, -3*d - x = -11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bo when two letters picked without replacement from {w: 1, u: 1, v: 1, b: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -37 (base 8) to base 12\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 0 - 25*a**3 + 0*a**2 + 31*a**3 - 2*a + 2*a**2 + 1. What is h(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1716)\/79794*1*2*-1*(-66)\/(-176).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -82 (base 14) in base 3?\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11242 and 49?\nAnswer: 78694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 198 + -182. Let q(x) = -x**2 - 4*x. Let w be q(-4). Solve w = -4*y + u - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**3 - 11*y**2 + 12*y + 8. List the prime factors of r(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, 4, -3, 11, -14636 in increasing order.\nAnswer: -14636, -3, 0, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 34 and 9299?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**3 - 7*h**2 + 10*h + 1. What is w(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*f - 5*n - 20 = -38*f, 4*f = -5*n - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the third derivative of -y**5\/10 - y**2. Let b(u) be the second derivative of 0 - 1\/6*u**3 + 9*u + 0*u**2. Determine b(m(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8498760.\nAnswer: 2, 3, 5, 70823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 6*y - 25. Let x(v) = -2*v. Let b(k) = d(k) + 5*x(k). Let n be b(-10). Calculate the greatest common factor of n and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-2)*-6 + 6\/(-2). Let n be 2\/4 - (-2)\/(-8). Which is the second biggest value? (a) 0.4 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -22*b**2 + 5. Let l(f) = -14*f**2 + 3. Let q(r) = -8*l(r) + 5*v(r). Give q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 128, 280, 432, 584, 736?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 5*t + 8 = 0, -t = -5*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-4)*3\/(-3)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20498 or 20493?\nAnswer: 20498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 7233.046 nanograms to tonnes.\nAnswer: 0.000000000007233046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -5*p**2. Let g(r) = -r - 17986 + 17986. What is g(k(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -13, -17, -21, -25?\n\"Answer: -4*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*l + 5*x + 215 = -70, 96*l - 3*x - 3 = 97*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1)*p**(-2\/7))\/(p\/(p*p**10)*p*p**(-2\/15)) assuming p is positive.\nAnswer: p**(824\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 27 + -27.0000002. What is w rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(7488)*-2*1*1*6.\nAnswer: -288*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 - 3*u. Let l be g(2). Let v = 0 + l. List the prime factors of 7 - v\/(-8)*4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -2191 (base 13) to base 15\nAnswer: -15c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/(220\/24)*(-30)\/63?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44) - (0 + sqrt(396)))*6.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 193605 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -3*o**2 - 21*o + 24. Let v(x) = x**2 + 7*x - 8. Let j(m) = -3*c(m) - 8*v(m). Let t be j(-8). Suppose 0 = -t*h - 5*h + 175. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in fifty-three fifths of a tonne?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1)*k*k)\/(k**(-1\/4)*k))\/(k**0)**(3\/20)*((k*k\/(k\/k**(-2\/5)))**(-29\/5))**(-9\/2) assuming k is positive.\nAnswer: k**(1591\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 3 p when four letters picked without replacement from ppeeppeppp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 941*w**6 + 8*w**4 + 37*w**3 + 13*w**2 - 2238 wrt w?\nAnswer: 112920*w**3 + 192*w + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 8*u - 1. Let a(t) = 12*t + 3. Let k(z) = 5*z + 1. Let o(g) = 2*a(g) - 5*k(g). Let v(j) = -j + 1. Let n(c) = -4*o(c) + 5*v(c). What is -l(b) - n(b)?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of -4*x**2 - 4571. Let n(v) = -70*v**2. Calculate b(n(p)).\nAnswer: 560*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -52*z + 19*z + 3*k - 91 + 13, -3*z + 3*k = -72 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 34672030 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4407509 and 0.5.\nAnswer: 2203754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 2 - 4)*(u**3 + 0*u**3 - 2*u**3) + 9*u**3 + 38 - 38 + 2*u**2 - u as l*u + b + x*u**2 + d*u**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 1879*w - 9371. Determine q(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 4*w**2 + 2*w - 3. Let c(s) = 4*s**2 + s - 2. Let a(p) = -3*c(p) + 2*m(p). Factor a(x).\nAnswer: -x*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 1560 = 4*v. Let m = -103 + 96. Let h be m\/(21\/36)*(-52)\/16. Calculate the highest common divisor of v and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8189 divide 291241785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -14\/19 (b) -2\/17 (c) 1 (d) -5 (e) 5601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 585767 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 4*b. Let a(j) = j**3 - 8*j**2 - 8*j - 7. Let g(t) = t**3 - t**2 + 2*t + 1. Let o be g(2). Let p be a(o). Let s(x) = -p*x + 2*x + x. Give s(c(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*y = -12*y + 55. Suppose -5 = 12*u + y. Which is smaller: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 6*n + 2*n = 0. Let k = -2\/77 - -239\/308. What is the second smallest value in n, -0.3, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 4*h = 4*v - 20, 4*h + 12 = 0. Let d = -2090762\/13 + 160500. Let n = d - -328. Put n, -0.2, v, -2 in descending order.\nAnswer: v, n, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the second derivative of 1\/6*f**4 + 0*f**3 + 0 - 2*f + 0*f**2. Let w(o) = -5*o. What is w(i(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11357966.572 - 7726.572. Let u = b + -11350318.00031. Let g = u + 78. What is g rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -235 by -199.\nAnswer: 235\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) 21 (c) -1\/3 (d) 5 (e) -1\/5 (f) 121\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -182.9 - -179. Let p = j - -3.93. Let t(a) = -a - 8. Let u be t(-8). Put u, p, 0.2 in increasing order.\nAnswer: u, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -i + 105. Let w = -30 - i. Solve n + 4*h = 3*h, w*h = -n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12.2 + -12. Let z = 30\/11 - 1148\/429. Let u = -47\/156 + z. Sort w, 3, u in increasing order.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-4 - -4) + -7 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 7827*h + 907936. What is i(-116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, y: 2, o: 5, l: 3, q: 1}. Give prob of sequence ll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 91*y + 3*j + 140, -2*j + 6210 - 6186 = -40*y + 42*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52165 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**9*q\/q**(-5)*q)**26 assuming q is positive.\nAnswer: q**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 670 and 208390.\nAnswer: 13962130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, z: 5}. What is prob of picking 3 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 351 and 12.72?\nAnswer: 338.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v - 125 - 55. Let y be 37\/(-2) + 15\/v. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.062 in -3, 20, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 389 + 2547*a**5 - 389 + (-4*a**3 + 2*a**3 + a**3)*(a**2 - 4*a + 4*a).\nAnswer: 2546*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from clt. Give prob of sequence tc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**2 + 15*b - 14. Let d = -72 - -142. Suppose 5*s = -2*v + d, -s + v + 56 = 3*s. Let t be m(s). Which is bigger: 8 or t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117882 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*(y**(3\/2)\/y)\/y)**37*y**6*y**(-2\/3))**(5\/2) assuming y is positive.\nAnswer: y**(715\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -50947 - -8202435\/161. What is the common denominator of -12\/77 and z?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of 1\/60*o**6 + 1\/4*o**4 - 1\/105*o**7 + 1\/6*o**5 + 0*o + 0*o**3 + 12 - 2*o**2. Factor d(b).\nAnswer: -2*b*(b - 3)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -0.41601.\nAnswer: 0.083202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3474380 and 131950.\nAnswer: 503785100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 - 7*n**2 + 8*n - 3. Let m be v(6). Let y be (-3)\/m - 30\/(-9). Suppose 13 = y*o - 68. Calculate the greatest common divisor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 + 7*x**2 - 5*x. Let u = -10 + 16. Let p be g(u). What is the units digit of ((-6)\/(-5))\/(p\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/(-2))\/((-39)\/(-24) - 2). Put 2\/7, 12, o in decreasing order.\nAnswer: 12, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3854 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from cvovaboocbcavoabcoov?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1985731 is divided by 7409.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddffdqddddfqdddqdqdd. Give prob of sequence qq.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/(0\/14 + -1*2). Suppose s = -q*j + 7, s - 3 = -3*j + 5. Calculate the remainder when 30 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -s - 5, 3*s + 22 = -2*p - 17. Let u = s - -21. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - -22)\/(26\/23) + (-61)\/((-854)\/(-42))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - (5 - -1)) + 4. What is the fourth smallest value in z, 8\/5, -0.5, -1\/3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55 - 73. Does 5 divide ((-788)\/o - 30\/(-135))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 11 (b) 2\/11 (c) 0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -q**2 - 12*q + 234. What is w(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0152609ng in grams?\nAnswer: 0.0000000000152609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the second derivative of n**3\/3 - 5*n**2 - 2*n. Let v(s) = s**3 + 5*s**2 - 8*s - 3. Let b be v(-6). What is the units digit of u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 111903 is divided by 129.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 5\/(-6) + 1 - 47\/282.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11705589 and 1114818?\nAnswer: 23411178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17305914?\nAnswer: 2, 3, 2884319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/36)\/(33\/528).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19256264.\nAnswer: 2, 2407033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from chghrhghfglfrrlhhffr. Give prob of sequence hg.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, u: 1, k: 1}. What is prob of sequence kn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**2 - 4. Let g(y) = -y**4 + 2*y**3 + 3*y**2 - 9. Let l(j) = -g(j) + 4*v(j). What is the third derivative of l(k) wrt k?\nAnswer: 24*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 10 - 40 = 0. Suppose f - l*f = -5. What is the greatest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*k + 4 - 2*k**2 - 6*k**3 - 2*k - 2*k**4 - 2*k.\nAnswer: -2*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v - 10 = v. Let d(h) = -5*h**3 - 1. Let q be d(v). Suppose q*g + 20 = -4. Which is bigger: g or -10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -751, -1500, -2249, -2998, -3747?\nAnswer: -4496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 + 4*p**2 + 4*p + 5. Let t be s(5). Suppose t = u + u. Solve 3*f + 2*f - 20 = u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 4*z + 30 + 2 = 0, -4*p + z + 13 = 0. Suppose p*a = 2*y + 7700, -5 = -y - 1. Suppose 2*c - a = -687. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 3*n - 10128 - 5013, 0 = 5*n - 20. What are the prime factors of o?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -54*q - 98. Determine b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3\/4)\/(1\/(-12)). Let a(j) = j**2 + 7*j - 16. Let t be a(m). Find the second derivative of 7*s**2 - 4*s**t + 2*s**2 + 2*s - s**2 wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 0, -5*q + 0*y + 20 = 3*y. Suppose 0 = 2*r - 2, 5*d = 4*d + q*r - 2. What are the prime factors of (10\/(-15))\/(d\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*v - 123*v**2 - 4*v + 9*v - 165*v**2 + 113*v**2.\nAnswer: -175*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 107*m - 5 - 3 - 315*m + 9 to l*m + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-82)\/8 + 9470\/947\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lzkzzzzlllkzzzlz. What is prob of sequence lzzk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-18)\/105)\/((-1)\/7*1). What is the smallest value in -2, -1\/3, j, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 PM and 9:35 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -3*q + 2. Give f(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2.794 + -8209\nAnswer: -8211.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pa when two letters picked without replacement from paapa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 30441086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 7*n + 1088 = 4*n, 3*a = -5*n + 1651. What are the prime factors of a?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1038 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3 + 9*q**2 + 3*q + 9. Suppose -3*v = -k - 26, v + 2*k + 2*k - 13 = 0. Let c be h(v). Calculate the highest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 11:33 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1298?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 n, and 2 r when four letters picked without replacement from rrnrrrnnhrrnr?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**2 - 10*w + 13. Let n be a(12). Let v = n - 54. Let d = v + 17. Which is bigger: -3\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 11*w - 7. Let z(g) be the first derivative of 2*g**2 + 3*g + 2. What is the remainder when n(4) is divided by z(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 30, 158, 378, 696, 1118, 1650, 2298, 3068?\nAnswer: 3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 31 - (15 + 22 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1972930536 to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6030808 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 15 (b) -153 (c) -0.08 (d) 0.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32766*s**3 + 34617*s**3 - 100134*s**3 + 32760*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5804618?\nAnswer: 2, 2902309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-2) - (-513)\/38. Let r = -12 + h. Suppose -3*f + 6 = 5*j - 2*j, 3*j = 3*f + 24. Solve -j*x = -3*x - r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - 111122211?\nAnswer: -111122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 82 + 0.073.\nAnswer: 82.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nonb when four letters picked without replacement from xsooioibnisnoii.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 6*o**2 - 5*o. Let n(m) = m**2 - m. Let d(v) = -k(v) - n(v). What is the second derivative of d(g) wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1300, -3754, -7828, -13510, -20788, -29650, -40084?\nAnswer: -52078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 0*b = 0. Let g = -6 + 4. Let l be (2*g)\/((-2)\/4). Solve -s - s - l = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 8*87\/(-261)*453\/(-4). Let l be 3 + -3 - (-1 + 1). Suppose l = -10*n + q + 98. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-9)*(-16)\/(4992\/10530)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the third derivative of -l**2 + 0*l - 5\/6*l**3 + 0 + 1\/24*l**4. Determine h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1 - 1)*(-8)\/(-40)*-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 + 13*g**2 + 12*g + 3. Suppose 8 = 2*v, -3*p + 3*v - 52 = -v. Let m be q(p). Factor -2*n**3 - 108*n**2 + 7*n**m + 5*n + 98*n**2.\nAnswer: 5*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -o**3*p - 1496*o**3*t - 2*o**3 + 4*o**2*p*t + 4*o**2*p - 136*o*p*t - 12*o*t + p + 2*t wrt o.\nAnswer: -6*p - 8976*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 33181083 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1138, -2255, -3372, -4489?\nAnswer: -5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 + 25*q**2 + 24*q + 6. Let m be i(-24). Let w = 22 + 7. Calculate the remainder when w is divided by (-4 + m)*30\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 + 18. Let o(s) = -6 + 4*s**2 - s**3 - 3*s + 11*s + 2*s**3 - 2*s**3. What is o(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 5 = 3*l. Let g(j) = 5 - 3 + 3*j**3 - 3. Let u(x) = -x**3 - x + 1. Calculate l*g(k) + u(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3012 + 232132031?\nAnswer: 232123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -402*z + 11. Let k(l) = -195*l + 6. Determine -4*a(u) + 7*k(u).\nAnswer: 243*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a + 4. Let v(z) = z**3 + 7*z**2 - 3. Let c be v(-7). Let j = -26 + 26. Let w = j + c. Calculate u(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2239*h**2 - 1114*h**2 - 1125*h**2 - 6*h**3 - 3*h**3 + 4*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = 672 + -605.95. Let k = 63 - u. Let b = k - 0.95. What is the nearest to 1 in 5, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-35)\/5)\/(2 + -1). Let g = 10 + o. Suppose -3*r - 28 = -g*u + 2*r, 0 = -u - r - 4. Is u less than or equal to 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l - 41*l**2 + 123*l**2 + 52*l**2.\nAnswer: 134*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -6*d. Let w(j) = 1. Let z(k) = k**2 - 5*k + 3. Let h be z(4). Let m(l) = l - 1. Let i(s) = h*w(s) - m(s). Determine v(i(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 700 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 5 - 2)*(0*g + 2*g - g)*(0*g**3 - 3*g**3 + 5*g**3) - 45*g**4 + 54*g**4 + 87*g**4 as b*g + p*g**4 + n*g**2 + j + t*g**3 and give p.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2282933, 2282935, 2282939, 2282945, 2282953, 2282963, 2282975?\nAnswer: 2282989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30356196 is divided by 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 672 - 764 - 1678 - y**3.\nAnswer: -y**3 - 1770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -888495 divided by -11\nAnswer: 888495\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3190.5 - 4354.7?\nAnswer: -7545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 5*z**3 + 39*z**2 + 238*z + 2027. Determine c(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 123451213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q = 22*q + 13*q. Suppose -2*i - 8 = q, -t - 18*i + 16*i - 11 = 0. What is the third smallest value in 5, 3, t, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01 minus 727047444?\nAnswer: -727047444.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1896*c - 15*c**2 + 8*c**2 + 1896*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 6285*h**2\/8 - 3141*h\/2 - 3\/2.\nAnswer: 3*(h - 2)*(2095*h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -474*n + 458*n - 800. Suppose 5*h - 75 = m, m + 2*h + 17 + 23 = 0. Is n at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*l**2 - 24*l + 28 = 0. What is l?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 121*k - 1066. What is the units digit of r(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = 9*c + 4*l - 28, -3*c + 15 = l. What is the hundreds digit of (c + -528 - 5)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -n - 2*n + 19, -4*p = 5*n + 11. Suppose -f = -0 - n. Let o be (-2)\/20*35\/28. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -36*c**4*v + 2138*c**4 + 127*c**3 + 202*c**2*v - 371*c**2 + 2*c*v - 2*c - v + 2 wrt c.\nAnswer: -864*c*v + 51312*c + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g**2 + 71*g - 696. Determine j(13).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the third derivative of -3*b**4\/8 - 59*b**3\/6 + 271*b**2. Let v be p(-7). Factor -4\/5*m**v + 0*m - 4\/5 + 8\/5*m**2 + 0*m**3.\nAnswer: -4*(m - 1)**2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 4 = 0, 9*b = 12*b - 4*i - 52637. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3\/39406 - 2403073\/9102786. Calculate the common denominator of -71\/228 and x.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -2*a**2 - 9413042*a - 141195180 = 0.\nAnswer: -4706506, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 10 = -x. Suppose -18 = -x*b - 3*p, 4*b + 5*p + 50 = 9*b. Let u(g) = 271*g + 11. Is u(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 85380624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -6836, -13263, -19690, -26117, -32544, -38971?\n\"Answer: -6427*h - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5, h: 4, u: 2}. Give prob of sequence hbh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vc when two letters picked without replacement from {k: 1, q: 2, u: 1, c: 7, v: 5}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-16)\/12*(-6)\/4. Let f(k) = -3*k + l*k - k + k. Let q(z) = -3*z**2. Determine q(f(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 13*p**2 - 203*p - 6588. Give t(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 3*g - 2 = 0, -k + 3*g + 792 = 790 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*u + 3*u - 15*u + 1425 + 0*u + 2*u**3.\nAnswer: 2*u**3 - 2*u + 1425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -168128, -333580, -499032, -664484?\n\"Answer: -165452*x - 2676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 266348 and 66587?\nAnswer: 266348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/2 in -61.461, -5, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 114347 is divided by 1605.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/3)\/i**(-8))\/(((i\/(i**(-7)*i))\/i)\/(i*i**(2\/15))) assuming i is positive.\nAnswer: i**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -193 + 181. Suppose 4*i - 124 = -0*p - f*p, 3*p + 182 = 5*i. What is the common denominator of i and 71\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 11505*p + 18. Let b(g) = -729*g. Give b(j(z)).\nAnswer: 729*z**2 + 8387145*z - 13122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 800\/7 - 114. Sort -0.1, w, 0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 173*f - 16 = 170*f + 5*a, 2*f = 4*a + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 19642 and 86986.\nAnswer: 608902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 + 8\/12)*-39. Let v be z\/4 + 3\/(-1). Suppose -33 = -6*i - 465. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of 23*u**4\/12 - 3*u. Let p be -30*(2\/(-5))\/((-132)\/(-343310)). Let i(n) = -p*n + n**2 + 31210*n. Give v(i(y)).\nAnswer: 23*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 13. Let c = -1\/310 - -641\/6510. Sort 0.2, n, c in descending order.\nAnswer: 0.2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 46428, -5, 1 in increasing order.\nAnswer: -5, 1, 46428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/1)\/(-3 + 5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1258*d**4 + d**3 + 3786*d**2 wrt d?\nAnswer: 30192*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-210898)\/(-30) - 7\/(-105)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 5287528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 27a5 (base 12) to base 7\nAnswer: 16244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-62 - -24) + 23 + -5 + -89 + 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -5*z**2 - z + 8. Let b(n) = -n**2 + 2. Let l(a) = a - 8. Suppose 2*h + 2 = 3*h - 4*v, 4*h - 23 = v. Let w be l(h). Calculate w*g(j) + 9*b(j).\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3420670384?\nAnswer: 2, 213791899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -17718, -35888, -54512, -73590?\n\"Answer: -227*m**2 - 17489*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 4 - 1 = 0, 2*d - 4*p = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -25\/6, -2, 59 in ascending order.\nAnswer: -25\/6, -2, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 653b7 - -1?\nAnswer: 653b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + -2 - 12) + 60 + (-28 - 24) - -53.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.25 + -0.2499976. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -152, 41, -9, 5.\nAnswer: -152, -9, 0, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1977 or 7?\nAnswer: -1977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand c**4 - 2*c**4 - 1 + 2 + (-3 - 2*c**2 + 3)*((c - 3*c + 0*c)*(3*c - 2*c - 4*c) + 10*c**2 + 6*c**2 + 16*c**2).\nAnswer: -77*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -24, -34, -42, -48, -52, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3*i**3 - 4*i - 3*i + 24 - 5*i**3 - 22 - i**2 in the form n*i**3 + b*i + m*i**2 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 3:54 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 144587185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 3*r - 1. Let w(d) = 5*d - 2. What is 5*n(x) - 2*w(x)?\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve r = -4871*t + 4873*t - 21, 5*t = -15 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/2 + 14\/(-4)*1. Let n(l) = 9*l + 23. Give n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -22317*i - 6*f = -22313*i + 50, -2*f - 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**3 + 556*h**2 - 550*h - 1108 = 0.\nAnswer: -1, 2, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*l + 112*l - 43*l + 64*l.\nAnswer: 222*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.14600693 * 0.3\nAnswer: 0.043802079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -6898*(77\/(-22) + 3).\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seven eighteenths of a week?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v + 2*v + v + (-2 - 2 + 5)*(-v + v + v) + 3 - 2*v - 3 + (1 + 3 - 1)*(2*v + v - 4*v) + v + 5*v - 3*v + (-2*v + 0*v + v)*(0 - 2 + 1).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 5 + 5)*(7 + 7 + 0)*(-35 + 11 - 3*i - 54)*(i + 4 - 4).\nAnswer: 42*i**2 + 1092*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -207*g - 205*g + 448*g - 4 + 2 as b*g + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1231, 2326, 3421, 4516, 5611?\nAnswer: 6706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7 smaller than 372389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4051 + 4120. What is the remainder when 1171 is divided by l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -35 + 16. Let y(m) = m**2 + 20*m + 23. Calculate the least common multiple of y(x) and (-17 - -1)*(1 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 + 10*r**2 + 2*r - 14. Let v(n) = -23*n**2 - 5*n + 29. What is 7*k(m) + 3*v(m)?\nAnswer: 7*m**3 + m**2 - m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3 times -988824\nAnswer: -2966472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 + aa01?\nAnswer: a9c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2796 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hg when two letters picked without replacement from fycfgfghff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z = 9*d - 29 - 34, 5*z = -d + 21 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1.3 (c) -721 (d) -1 (e) -11 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 2*d - 24 = -2*y, 5*d = 25. Suppose 0 = y*m - 7 - 5. Let a = 385 + -374. Calculate the remainder when a is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 80 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 742 a factor of 260316602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 4*r - 3*r. Let p = r + 18. Let n = -12 - -28. Calculate the highest common divisor of p and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(2\/25)*q)\/q)**(-3\/4)*(q**(-2\/17))**1 assuming q is positive.\nAnswer: q**(-1577\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2064 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 115 = 125 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6989*n**3 - 8781*n**3 + 1775*n**3.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 12740508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.1389*-1\nAnswer: -0.1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 12.698634 months in years?\nAnswer: 1.0582195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 610 and 61?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 5 (b) -24 (c) 0 (d) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -11*g**3 - 45*g**2 - 99*g - 47. Let n(b) = -9*b**3 - 46*b**2 - 100*b - 48. Let w(t) = 6*n(t) - 5*y(t). Let w(i) = 0. What is i?\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17.7 + -19. Let t = 57.2 - 54.2. Let n = -0.26 + -4.74. What is the nearest to s in -4, n, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -19*u + 608. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -2*m - 3*r - 5, 5*r - 10 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, w: 2, z: 1}. What is prob of sequence zoww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p*p**(1\/4)))**(-4\/3)*(p\/p**(1\/4))\/((p**20\/p)\/p) assuming p is positive.\nAnswer: p**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2*((-7)\/2 + 1). Suppose 8*n = v*n + 57. Let o = n + -10. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 49 + 1654?\nAnswer: 16a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b - 3*b + 5 + 0*b + 17*b**3 - 8*b**3 - b**2. What is the units digit of s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -6*u**3 + 4*u**2 - 4*u - 13. Let r(p) = p**3 - p**2 + p. Give -4*r(i) - v(i).\nAnswer: 2*i**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 406 + 761*x - 1009*x**3 - 194*x**4 - 404 + 1002*x**3 wrt x?\nAnswer: -2328*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -144803, -579388, -1303757, -2317910?\n\"Answer: -144892*b**2 + 91*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9925 and 23525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) - (sqrt(156)\/sqrt(3))\/sqrt(4)) + sqrt(65)\/(sqrt(5)*1))**2 + -4*(sqrt(130)\/sqrt(10) - sqrt(13))*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -14*a**2 + 3*a + 1. Suppose 4*r - q = -2, 2*r - 14 = -2*q + 5*q. Determine h(r).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 726\/1089*225\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 0, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14.3 - -11.3. Put -4, 3, k, -1\/7 in increasing order.\nAnswer: -4, k, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -x**2 - 736*x + 2 + 2 - 4.\nAnswer: -x**2 - 736*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 3*u - 87 + 335 = 0, 5*j - 4*u = 620. What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*b + b - 5*b + 1 - 1 + 3*b + (2 - 2*b - 2)*(-2 + 0 + 1).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of c**4\/2 + 2*c**3\/3 - c**2 - 2*c + 22. Factor m(r).\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(1\/3))**(-1\/7)\/((m\/m**(-4))\/(m*m\/((m\/m**0*m)\/m))))**(2\/35) assuming m is positive.\nAnswer: m**(-34\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -133 + 132. Which is the closest to 0? (a) o (b) 2\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.06 + 0. Let z = n + 0.06000012. Round z to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 69 = 5*h, -h + 9 = -5*b + 4*b. Let u = 25 + -23. Suppose s - 6 = -s. Solve -9 = -s*y + 2*p, -2*y - h = 3*p + u*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.1482 - -0.0518. Let q = 0.12 + -0.42. What is the closest to 2 in b, q, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 22\/585 and 73\/3.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -112.5 - -211. Let t = 120 - q. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tqqtttq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 7*a**2 - 15*a - 10. Let h(r) = -9*r**2 + 13*r + 13. Calculate -3*h(l) - 4*m(l).\nAnswer: -l**2 + 21*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 32663\/(-18) + (-40)\/180. Let v = 1809 + n. Let k = 67\/12 + v. Sort k, 5, 61.\nAnswer: k, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 193\/1161888 and -107\/8736?\nAnswer: 1161888","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - y + 1185, -2*d = -26*y + 31*y - 1165. What is the highest common factor of 340 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7737\/154 + 352\/7. What is the common denominator of (428\/(-30))\/(8\/3) and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 3*f**3 + 5*f**2 + 18*f + 54. Give v(-4).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/3 - 176\/(-120)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10480032 or -10480029?\nAnswer: -10480029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 24 + 24. Suppose -y = v - 5*v. Solve -a + 5 = -4*r - 7, -v = 2*a + 4*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 128 - 144. Let r = 33.6 + -49.5. Let d = r - w. What is the smallest value in -3, -1\/2, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4562 (base 14) to base 15\nAnswer: -387c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-110*w**2 - 4*w + 339*w**2 - 152*w**2 + 1)*(-w + w + 3*w**2).\nAnswer: 231*w**4 - 12*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 281728 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 4*s - 2. Let u(y) = 1. Let c(a) = -g(a) - 3*u(a). Let h = 1 - 11. List the prime factors of c(h).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f. Let y(s) = -196*s - 7. Let x(w) = -3*v(w) + y(w). Let o be x(7). What is o rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 546380.5 millennia to decades.\nAnswer: 54638050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*8398.\nAnswer: 16796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -771 - -549. What is the least common multiple of 10 and a\/(-18) + 1\/(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m - 1. Suppose -g + 3 = 4. Let p(j) be the third derivative of -j**4\/12 - 7*j**3\/6 + 10*j**2 - 10. Let x(n) = g*p(n) + 4*o(n). What is x(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*48.3263.\nAnswer: -19.33052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 178*q - 1236. Give y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 151753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 231 a factor of 137109029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:39 PM and 6:09 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xbxrbbnxbbnbbrb. Give prob of picking 1 x, 1 r, and 1 n.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-4)\/232*(-19)\/19?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -27.4079 from -10.\nAnswer: 17.4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, w: 1, q: 2, i: 1, p: 10}. What is prob of sequence qw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 4*x = -x - 15, 5*c - 3*x = 9. Let i be (136 + -135)\/(2\/192 + c). Calculate the greatest common factor of i and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2b6783 (base 12) to base 3.\nAnswer: -1101110022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:51 PM and 9:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5049 - 5031.224. What is h rounded to one dp?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(2*(sqrt(187) - -2*sqrt(187)) + sqrt(187)))\/(5*2*sqrt(704)).\nAnswer: -7*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.082, -0.2, 3 in descending order.\nAnswer: 3, -0.082, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:34 AM and 12:05 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 60, -83, -322, -657, -1088, -1615, -2238?\nAnswer: -2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 824112898?\nAnswer: 2, 7, 907, 64901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 66 = -30. Suppose 12*a = o*a - 12884. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -62*j**2 + 74*j - 9. Let i(b) = -b**2 + b - 1. Let h(g) = 36*i(g) - 4*v(g). What is the second derivative of h(m) wrt m?\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 2*v. Let f(i) = -3*i**2 + 5*i + 9. Let z(u) = 5*u**2 - 8*u - 14. Let b(w) = -8*f(w) - 5*z(w). Give b(h(y)).\nAnswer: -4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*r**2 - 3*r**2 + 2*r**2)*(416 - 172 + r - 182).\nAnswer: 6*r**3 + 372*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c + 2 - 2)*(-95 - 112 - 44)*(-9 + 9 + 7*c**3)*(2 + 2*c - 2).\nAnswer: -7028*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2656 divided by 83.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**7)**(-49)\/(t**4)**(-47) assuming t is positive.\nAnswer: t**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 3*x = 471. Let w = 267 + x. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**3 - 5*a**2 - 3*a + 4. Let u be z(-4). Let k = -4 + 2. Let q be 2*3\/(-12)*k. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the third derivative of -d**5\/60 + d**4\/3 - 7*d**2. Find the second derivative of r(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 2*s, s - 3*s = 8. Suppose n = 3*m - 13, 4*n - 3*m + 3 = -4. Suppose a*f - f - f - n*f**3 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 142\/37? (a) -2\/3 (b) 0.06 (c) -2\/11 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (257 + 169 + 480 - 37 + 566)*(-l - 4*l + 3*l + (-l + 4*l + 0*l)*(0 - 2 - 3)) in the form g*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = -8*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/3 greater than or equal to 158980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -176564875, -176564868, -176564861, -176564854, -176564847, -176564840?\nAnswer: -176564833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**2 + 7*u + 3. Let p be d(7). Let i be 2\/(2 + p + -10). Is i at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, j: 8}. Give prob of sequence jjuj.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 22884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 573678 by 174.\nAnswer: 3297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(152)\/(3*sqrt(968)) + -3 - ((-1*sqrt(114))\/sqrt(6) - (-1*sqrt(76))\/sqrt(4)).\nAnswer: -3 + sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 712559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(21)*-2)\/(sqrt(192)*-1 - sqrt(192) - sqrt(192)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 * 724709.96\nAnswer: 724709.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12 - 7. Suppose k*d - 16 = d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 15 = -3*j, 0*o = 5*o + 4*j + 20. Suppose s - z - 996 = o, s - 964 = 3*z + 42. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10 - 4) + -4 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 40, -3, 4 in ascending order.\nAnswer: -3, -1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44287 is divided by 4415.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 - -4. Let f = 10 + -32. Let l be f\/77 + 5\/(-7). Put x, l, 5 in decreasing order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -200 (b) -4\/3 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 14514 (base 6) to base 3.\nAnswer: 10020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1950*k - 109467 + 5188*k + 109467.\nAnswer: 3238*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, -4, 21, 80, 185, 348, 581, 896?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1.537, 0, 9, -9 in increasing order.\nAnswer: -9, 0, 1.537, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 56 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-128)\/(-99) + 10\/(-55) - (4 - 51474\/621)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -15, 14, 19.\nAnswer: -15, -3, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 76.671707 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 5*n + 0*n**2 - n**3 + n**2 - 1 + 3*n**2. Let r be m(5). Let d be ((9\/(-1))\/3)\/r. Solve -2*k = -d*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 2) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1906\/3 - 1901\/3. Which is the closest to -2? (a) -0.4 (b) p (c) -0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 332 = 3701*h - 3867*h. Let t = -0.36 - 3.24. Let g = t + 4. Put h, -1, g, -3 in descending order.\nAnswer: g, -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 8 - 624*f - 4.\nAnswer: -624*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of -d**5\/20 - d**4\/12 - d**3\/6 - 131*d**2\/2 - 5*d - 2. Let r be v(0). Let i = -131 - r. Solve i = -4*t - t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 546 and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = 3*y + 9, 4*k - 2*y = 22 - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x + 3. Let c be f(1). What is the third derivative of u**c + 10*u**5 - 9*u**5 + 13*u**5 wrt u?\nAnswer: 840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and -25250.\nAnswer: -25250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.17 + -0.27. Which is greater: 2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2*(108\/(-8))\/9. Let q(i) = u*i**2 + 6*i**2 + 0*i**2 - 2*i**2. Let g(l) = l**2. Determine q(g(w)).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -9)*10\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/9 or -29\/9?\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 4 = -2*l. Let r(p) = p**2 - 2*p - 2. Let c be r(l). Calculate the highest common divisor of c and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 1, e: 5, v: 1, t: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-26 - -2 - -15 - -33)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -5*x**4 - 45*x**3 + 380*x + 480 = 0.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 194147 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 3*b - 24. Let x(l) = l - 14. Let a be x(6). Let v = a - -18. List the prime factors of c(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/6*1182*-1. Let k = -1207\/2 - r. Calculate the common denominator of k and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52276 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 647261849 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 4.3*0.5\nAnswer: 2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**3\/5 + 6*q**2 + 30*q + 50 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 445 - -27. Let a = i - 459. Calculate the remainder when 75 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 17, 2 in increasing order.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3451, 6907, 10365, 13825, 17287, 20751, 24217?\n\"Answer: f**2 + 3453*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -17 divided by 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 952363?\nAnswer: 952363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 40*n - 845. Let a = -1 + 0. Calculate the remainder when u(22) is divided by (2*a)\/((-1)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*1551.1\nAnswer: -1551.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract -14403519138 from -0.07.\nAnswer: 14403519137.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 6 + 33 = 11*t, 2*c + 2*c - 16 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 PM and 6:01 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4841413940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23 - -27. Suppose -h = -n, 2*q - 558 = h + 3*h. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 8:44 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -6. Let z(c) = 3*c**2 + 6*c - c - q*c**2. Suppose -12 = 6*t + 18. What is z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/20605 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.2 - 8. Which is the closest to t? (a) 3 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 75163136 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 148112 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 692417.357 rounded to the nearest ten thousand?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 315 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/7 + 1804\/77 + -3. Suppose -2*y - 23 = 15. Let l = y + x. Calculate the smallest common multiple of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * -3729636\nAnswer: -3729636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjrr when four letters picked without replacement from jjrrjjrrjjjrjrrjjjj?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 102385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26.75 + 28.75. Let i = -3.68 - -3.3. Is p less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-48))\/((-333)\/148).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 9*g - 3. Suppose 0 = 3*c - 2*n - 34, 2*n = 5*c + 5*n - 25. What is the lowest common multiple of b(3) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.4, 0.1, 2\/11, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.11077 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 7, l: 1}. Give prob of sequence hl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 91 + 99. Let a(k) = 3*k - 3. Let u be a(2). Is (f\/u)\/((-4)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 73 = 47. Suppose -25*j + f = -21*j. What is the remainder when 21 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27 - 8. Suppose j - 43 = -4*a + 4*c, -a - 14 = 3*c. Let w be (99\/(-3))\/(a - 4). Calculate the highest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3468 a factor of 29575104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.86562 micrometers in centimeters?\nAnswer: 0.000086562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.5 (b) -260 (c) 39256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1957446, 1957443, 1957438, 1957431, 1957422, 1957411, 1957398?\n\"Answer: -b**2 + 1957447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50 + -46. Suppose -3*i = w + i + 11, 0 = -2*i - k. Let b = 1 - w. Let d(y) = -y**3 + 5*y**2 + 5. What is d(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1400 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5)\/(-2)*2\/20. Let q = -21\/118 + 2\/177. What is the biggest value in -2, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 49 + 131 = 30*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/2)\/(y**2*y))\/(y*y*y**(-1)*y)**18 assuming y is positive.\nAnswer: y**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 3:38 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f - 4*f + 3*f)*(0 + 1 - 3) + (2 - 4 - 1)*(-3*f + 4*f + 3*f)*(-9 + 5 + 6).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g**4 - 7*g**4 - 27*g**4 + (-1 - 5 + 1)*(6*g**4 + 2 - 2).\nAnswer: -62*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -7*h**2 - 5*h + 4. Let o be m(1). Which is greater: o or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d**5*o**2 + 134*d**5*o - d**2 - 106*d*o**2 wrt d?\nAnswer: 60*d**2*o**2 + 8040*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the third derivative of v**6\/120 - v**5\/5 + 13*v**4\/24 - 5*v**3\/2 - 8*v**2. Let l be x(11). Solve 2 - l = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -41 + 20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*m**2 + 0*m**2 + 0*m**2 + (m + 0*m + m)*(0*m + 4*m - 3*m)*(2 - 2 - 4) + m**2 - 4*m**2 + m**2 to the form k*m**2 + p + v*m and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 9483 from -93190.\nAnswer: -102673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, -0.179, -4.63, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 265*n - 15*n - 226*n - 21*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 74\/39159 and -68\/13053.\nAnswer: 39159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**3 - 912*h**2 - 60651*h + 61560.\nAnswer: 3*(h - 360)*(h - 1)*(h + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4585 divided by -7370.\nAnswer: -917\/1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 2*i + 272 = 0, 4*b + 3*i = 7*b - 165. Calculate the highest common divisor of 90 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3691, 14474, 32457, 57646, 90047, 129666, 176509, 230582?\n\"Answer: i**3 + 3594*i**2 - 6*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -3*o**2 + 5*o + 2. Let s be 1\/((-2)\/(-24)) + -1. Let p(l) = 8*l**2 - 16*l - 7. Let v(k) = s*n(k) + 4*p(k). Is 2 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 930 (b) 0 (c) -0.4932 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 - 11)*(-3 + 2 + 0)*(-3*a**3 + a**3 + 9*a**3).\nAnswer: 112*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 389 + -389.000000273. Round c to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1047827865 by 73055.\nAnswer: -14343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1346544 and 0.064?\nAnswer: -0.0086178816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -110 + 229 - 3*r - 119.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1499 - -1963.5. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:31 AM and 3:31 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5694441406 to the nearest integer?\nAnswer: 75462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39, 63, 89, 117, 147, 179, 213?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -268, 128, 3 in decreasing order.\nAnswer: 128, 3, 1, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -3. Let m = -14 + 15. Let l = m + y. Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -6*i**3 + 110*i**2 - 225*i + 25. Give n(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s\/(s*s**(1\/7)*s)*s**17 assuming s is positive.\nAnswer: s**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5908980 is divided by 134.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 36 + -16 + -44 - -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes before 12:34 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1.5 (b) -5 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**3 - 30*y**2 + 4*y - 105. Let a be p(30). Calculate the highest common factor of a and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-4)\/((b\/b**2)\/b)*b*b**(11\/5)*b**(12\/5) assuming b is positive.\nAnswer: b**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1.1 in -0.5, -2\/3, -1\/10, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 78635.91kg in tonnes?\nAnswer: 78.63591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 263*u - 995*u - 716*u - 1270*u.\nAnswer: -2718*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -604, -1\/4, -4, 0.4, 1\/6, 21.4 in decreasing order.\nAnswer: 21.4, 0.4, 1\/6, -1\/4, -4, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3\/3 + 2078*o**2\/3 - 20680*o\/3.\nAnswer: -o*(o - 2068)*(o - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69154.\nAnswer: 2, 71, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y. Let v(l) be the third derivative of 23*l**5\/12 - 37*l**2. Determine v(q(u)).\nAnswer: 115*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -35, -2, -3, 6 in descending order.\nAnswer: 6, 3, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2088174 litres in millilitres?\nAnswer: 208.8174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 11610 divided by 1935\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 77.7958 rounded to 0 dps?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 76249527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (57\/(-2) + 0)*-6. Calculate the highest common factor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t - 85 + 73 = 0. Suppose z = 2 + 1. What is the remainder when z is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -171*w - 7*w**2 + 9*w**2 + 248*w**3 + 324*w**3 - 3*w**2 wrt w.\nAnswer: 3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 548425?\nAnswer: 5, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3.269 + 0.031. Let t = 4.6 - x. What is t rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1806741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence svs when three letters picked without replacement from {h: 4, s: 10, v: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2112655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 PM and 7:53 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 101 times -12\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wkaawwllblwb. What is prob of picking 2 b and 2 a?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:51 PM and 10:19 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -72*s - 2. Let b be g(-1). Suppose n - 94 = -b. What is the lowest common multiple of 18 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -2 + sqrt(5)*3 + 2.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.034 + 19.034. Let r = o - 18. Are r and 1\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -41 - -40.99999975. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 4*l - 735, 5*u + 155 = l - 16. What is the highest common factor of l and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*3*((sqrt(180) + -1)*-2 + sqrt(180))*4*3)**2.\nAnswer: -777600*sqrt(5) + 5961600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -403\/6. Let d = 3 - 2. Suppose -d = -0*r - r. Which is the second biggest value? (a) 2\/7 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 21. Let f = -8 - 1. Let r = t + f. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*b**3*i**3*y**2 - 12*b**3*y - 2*b + 20*i**3*y - i**2*y**2 wrt b?\nAnswer: 18*b*i**3*y**2 - 72*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, v: 7}. What is prob of sequence vvvv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**2 - u + 7. Let q = -4 + 6. Suppose -k = k + q. Let i be (-1 - -1)\/(k - -3). Calculate z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1830 equal to 371366\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18515157, -18515158, -18515159?\nAnswer: -18515160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -168 + 210. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-12)\/21)\/((-2)\/7). Let q be 37 + (12\/(2 + 2) - p). Solve -q = -5*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + -6. Which is the closest to -3? (a) o (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1422\/(-12))\/((-9)\/84).\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 36860 = 5*r, 7367 = q - 2*r + 6*r. Let f = -118011\/16 + q. What is the common denominator of -103\/6 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 16386745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.5, 10, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjh when three letters picked without replacement from {h: 5, j: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -6*u**3\/11 - 574710*u**2\/11 - 214674744*u\/11 - 19463640 = 0. Calculate u.\nAnswer: -95410, -374, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-17)\/(-34))\/((-2)\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k - 8. Let v = 10 - 3. Let h be t(v). Let y = 21 - h. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 75.87965t?\nAnswer: 75879650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5870\/7 - -843. Let k(h) = h**3 + 8*h**2 + h + 5. Let t be k(-8). What is the common denominator of y and (-2 - (-5)\/t)\/(12\/(-90))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 61116 and 45837.\nAnswer: 183348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let 21*i**2\/4 + 1034*i - 197\/4 = 0. Calculate i.\nAnswer: -197, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 190 = 2*a - 48, -2*j + 5*a = 107. Which is smaller: j or -60?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c = -15 - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a be 15\/(-90) - (-19)\/6. Suppose -a*q - u - 3*u = -12, -u = -q + 4. Suppose q*m + 10 = 9*m. Solve c - m - 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in nineteen quarters of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 0 - (-7 + (24 - 9)) - -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (87\/24*2)\/(2\/(-16)). Let m = -59 - c. Is 2936 - m\/((-3)\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -3*z**2 + 25*z + 20. Let t be y(9). What is the third derivative of -4*a**t + 24*a**3 - 13*a**2 + 0*a**2 - 14*a**2 wrt a?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 329 and 2235367?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1200)\/108 + (-2)\/(-18). Let x = -9 - v. Let p be 32\/x*1\/1. Solve -4*z + p = -5*s, 0*z = -z + s + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 20 - 2 = 0. Let a = h + -1. Suppose -a + 0 = -d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a8 - -1?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + q - 2. Let h be g(-2). Let t = 124 + -2357\/19. Let p = 231 + -1845\/8. Which is the second biggest value? (a) t (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 + 5*c**2 + 3*c - 3. Let l be (-1)\/(0 + -1 + 0). Let y = 0 + l. What is the remainder when x(-4) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2 (b) 84 (c) -7\/11 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 18 times -0.0923?\nAnswer: -1.6614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-10)\/a**(-2))\/((a**(-1\/7)\/a)\/(a\/a**(-14)*a)) assuming a is positive.\nAnswer: a**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -495*z + 7. Let s(a) = 330*a - 5. Let k(u) = 5*d(u) + 7*s(u). Let n(v) = 15518*v + 2 - 2*v**2 - 15518*v - 2. Give k(n(y)).\nAnswer: 330*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.103? (a) -1\/8 (b) 4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 + 15*v**2 + 17*v - 16. Give k(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 + 2. Let p = 13 - 11. Suppose 3 - 7 = -p*m. What is the highest common divisor of r and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 64\/(5 - 4985\/995). Let y = p - -10679. Suppose -5*o - 1156 = -y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*r - 41*r + 109*r**2 + 14*r + 14*r.\nAnswer: 109*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, 302, -1 in ascending order.\nAnswer: -1, 0, 5, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t - 7*t - 24*t in the form k*t + n and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.03 + 0.67. Let i = j - -0.9. Let b = -0.0994 + 0.0994. Sort b, i, 2.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + -8 - ((-15 - -14) + -13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 + 11*a - 6*a**2 - 51 - 9*a.\nAnswer: -6*a**2 + 2*a - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-76)\/(-18) - 2\/9. Suppose -2*f - d = -4, f - 5*d = -g*f + 25. What is the derivative of -f*i**4 - 5 + 4 - 6 + 7*i**4 wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*j*n*v**2 + 5*j*n*v - 2*j*s*v**2 - 2*j*s - 3*j*v**2 + 4*n*s - 2*n*v wrt s.\nAnswer: -2*j*v**2 - 2*j + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 5*p**2 - 7*p + 6. Let s be 4 + 4 + -2 - 2. Suppose 0 = -15*j - 19*j + 5814. What is the remainder when j is divided by v(s)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5b3 - -3877?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-104)\/(-6))\/(-4) - 2\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, 0.2, 0, -61, 100, 2 in decreasing order.\nAnswer: 100, 4, 3, 2, 0.2, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -475, -1379, -2733, -4555, -6863, -9675, -13009, -16883?\nAnswer: -21315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 37 - (-2 - (-2)\/(-2)). Let l = -18 + j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9638 + 9680. Which is the nearest to -1\/3? (a) -2 (b) -3 (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -30 - 2*r**2 - 19 + 16 + 8*r**2 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -85666, -85721, -85798, -85903, -86042, -86221?\n\"Answer: -a**3 - 5*a**2 - 33*a - 85627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the second derivative of 5*d**8\/28 + d**4\/6 - 9*d. What is the third derivative of b(h) wrt h?\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 306, 3, -1\/4, 1\/3, -4.\nAnswer: -4, -1\/4, 1\/3, 3, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40\/6*15\/2*(-24)\/(-25)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(17)*1 - (sqrt(17) + (sqrt(68) + sqrt(17))*-1))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:55 AM and 9:04 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2*p = -12, -5*g + 2*p + 23 = 7. Suppose -u = g*u - 9. What is the units digit of (u\/2)\/((-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**2 + 62*h - 13. Give a(30).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 95 - 93. Let n(m) = -3*m - 5. Let s(w) = 4*w. Let o(f) = -4*f - 1. Let v(p) = -6*o(p) - 5*s(p). Determine h*v(k) + 3*n(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -20, -1.6, 0, 0.04, -2, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*r = 13*r - 1208. Let c = 286 + r. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -2, 12843, -1, 12 in descending order.\nAnswer: 12843, 12, -1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -1.1 (b) 2\/9 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 7*k + 2. Suppose -2*w = -0*w - 2. Suppose 0 = s - 21 - w. Calculate the lowest common multiple of c(2) and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -209*c + 224*c - 90 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sss when three letters picked without replacement from hhsshhsshhshh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11.7 - 12.2. What is the second biggest value in d, -17, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 121 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 3810.034268443 and -5.\nAnswer: 3805.034268443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = b - 2. Let z(m) = -2*m**3 + 2*m**2 - 7*m - 2. Let l(w) = -6*s(w) - z(w). List the prime factors of l(5).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -11*f**3 + 7*f**2 + 11*f - 65. Let r(u) = -5*u**3 + 3*u**2 + 5*u - 32. Let p(s) = -6*d(s) + 14*r(s). What is the first derivative of p(m) wrt m?\nAnswer: -12*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 43*y + 59. Let f(x) = 12*x - 9 + 7 + 9*x + 31. Let b(s) = -4*c(s) + 9*f(s). What is the derivative of b(l) wrt l?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4*l = 16, -z = 2*z - 4*l. What is the remainder when 5 - -2*(-4)\/z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-1\/7)\/(x**(1\/4)*x*x)*(x**0)**(1\/37)*((x*x\/x**(1\/12))\/(x*x*x**5*x))**(9\/4) assuming x is positive.\nAnswer: x**(-1801\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -33.1 or 5\/161576?\nAnswer: -33.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 14*o**2 - 11*o + 19. Let s be y(2). Calculate the greatest common divisor of s and 3392.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 + 9*s**2 - 7*s + 8. Let t be q(4). Sort 0.12, t, 3\/4, 0.4.\nAnswer: t, 0.12, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 2*s = -5*s + 36, 0 = 5*m + 2*s - 90. Suppose -14*n + m*n - 1632 = 0. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2 - 17*d + 9. Let k be l(-18). Let p(z) = 11*z + 0*z**2 + 73 - 39 + 2*z**2 - 38 + 2*z. Determine p(k).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from gkgyggkgkkrnrgxr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = -3*d - 649 + 622, -g = -4*d - 33 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 8 = -4. Let l(o) = 43*o + 1. Let w be l(1). Calculate the highest common divisor of w and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 635.7211437 + -11415304790.7211437. Let i = h - -11415304072.99999801. Let m = -82 - i. What is m rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 78037*v**2*w**3 + 361*v**2 + 8*v*w**2 wrt w?\nAnswer: 468222*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 8:05 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 983997.4ml to litres.\nAnswer: 983.9974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-198)\/231*14\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3.93 - -0.07. Let s = -737\/3 + 246. What is the nearest to s in 0.1, f, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1154 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -13323 (base 8) in base 3?\nAnswer: -22000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 33459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1596123706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.13 * -0.05166545\nAnswer: 0.0067165085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3544652 plus 1.2?\nAnswer: 3544653.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 2*a - 9, -55*a + 53*a + 5 = 3*f. Put -35, -3, 3, a in decreasing order.\nAnswer: a, 3, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 10:57 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 356 - 360.8. Which is the nearest to o? (a) -4 (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4716 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -272276*s**2 + 90754*s**2 + 90763*s**2 - 56*s**3 + 90759*s**2.\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q + 3. Suppose 4*n + g = -n, 2*n = 5*g. Let b be d(n). Suppose 5*f + 58 = 4*c, 3*f = 5*c - c - 54. What is the greatest common divisor of c and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 6 = -0*v. Suppose 2*a - v = 38. Solve -6*n + 2*n + a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7668.706 * -2.\nAnswer: 15337.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 - 12790152*h + 13632332348592.\nAnswer: 3*(h - 2131692)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1198505 is divided by 5735.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 980 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from {f: 3, u: 6, b: 1, d: 1, w: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 - 1.2. Let o be ((-1146)\/13370)\/((-3)\/20). Sort o, 5\/4, k, -2 in decreasing order.\nAnswer: 5\/4, o, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 567, 2204, 4941, 8784, 13739?\n\"Answer: s**3 + 544*s**2 - 2*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 492.899185 and -13.6438.\nAnswer: 479.255385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, o: 4}. Give prob of picking 1 z and 3 o.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 13 = -2*w, 241*w - 4*y + 19 = 244*w. Solve h = -4, 5*c = w*h - 15 - 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74144 divided by 3.\nAnswer: -74144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-50)\/((-10800)\/6))\/((-2)\/(-32))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be 14\/(-16) + 6\/8. Let x = 2847 + -2694. Put 2\/9, h, x in decreasing order.\nAnswer: x, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 3 + (1 + 3 - 3)*(-3 + 4 + 1) - 2 + 0 + 0)*((2 - 6 + 3)*(-3*o + 2*o - 3*o) + o - 2*o + 0*o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 110034*l**3 - 62619*l wrt l.\nAnswer: 660204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -5*o + 32. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1954 + -1961. What is the nearest to 0.1 in -30, -5, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + (sqrt(176) + 2*sqrt(176)*1 + sqrt(176) + sqrt(176) - -5*(sqrt(11) + 3 + sqrt(99))))*-5)**2.\nAnswer: 28000*sqrt(11) + 444900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**2*g**(-3)*(g**(-1))**(13\/5))\/((g\/g**(-2\/3))**(-1\/10))**1 assuming g is positive.\nAnswer: g**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20817215179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - 3*2*sqrt(76)) + sqrt(76)))\/(sqrt(36)\/sqrt(36)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -76*m + 69. Let k be p(0). Solve k*w = 60*w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00004476779 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (42\/6)\/147*-9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 75059691 divided by 103817.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -6\/635?\nAnswer: -6\/635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088)*-2 + sqrt(17) - sqrt(68)\/(sqrt(24)\/sqrt(6)) - 3*1*sqrt(68)*-6.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 8*q**3 - 2*q - 1. Let v be 2\/6 + (-4)\/3. Let u be k(v). Let o be 1281002\/u - (-6)\/21. Round o to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zfd when three letters picked without replacement from ddjdddfzddddfff?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 5 - 2 - (-1 + -11 - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3\/21*-1)\/1. Suppose 5*s + 7 = 4*k, -3*s + 7 = k + s. Suppose -2*v = -k*u + 2 - 1, 5*u = -2*v + 7. Is r at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in -2*r**3 - 158460*r**2 - 1901304*r - 5703696 = 0?\nAnswer: -79218, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 627502691.\nAnswer: 17, 36911923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, l: 3, s: 15}. What is prob of sequence nl?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from enejjjejeje. Give prob of picking 2 j and 1 e.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-4)\/(-6))\/((-1)\/18). Let o be 2\/(-3)*12\/v. Let 0 + 0*f - 2\/3*f**3 - o*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2976*i - 2*i**3 - 2971*i + 5947*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 308 = q, 0*q + 15 = -3*q. Let f be i\/10 - (-1 + 10\/(-20)). Which is smaller: -9 or f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 8*a = -1694. Calculate the smallest common multiple of a and 4.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -32154.155 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17287 and 1465?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {q: 3, i: 8, s: 2, r: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -139456.\nAnswer: 5\/139456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2225*u**2. Let b(x) = 138*x**2. What is l(b(v))?\nAnswer: -42372900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 - 7*s**2 + 19*s - 21. Let i be r(5). Solve 7*c - 4 = i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a = -39*a + 752. Calculate the remainder when 465 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9358 + 15715. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (2 - -6) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1381397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 155011263 is divided by 741.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 3, s: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 20671969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 529893 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.193 + -74.193. Which is the second smallest value? (a) -2\/3 (b) y (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 207, 362, 421, 336, 59, -458, -1263, -2404?\n\"Answer: -8*r**3 + 211*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -11526641 (base 7) to base 11\nAnswer: -645735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from aaaaadoanaadaaah.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000030354 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (30\/(-63))\/(81\/14 + -6). Let y = -5\/10519 - -1820237\/946710. Let c = p - y. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rhxhxwhhrhxrwzhrxh. Give prob of picking 1 x, 1 z, and 1 w.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -53, -116, -205, -320?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/17)\/u)**12*(u**2)**(2\/17) assuming u is positive.\nAnswer: u**(-224\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -116 by -29.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.13, 14\/31, -0.02, 5?\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (305\/915)\/(4 - (-291)\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 11 = -3*p, 2*v = 3*p + 2*p - 22. Factor 2*o**4 - 5*o + 4*o**4 - 2 + p*o**3 - 3*o**4 - 2*o**2 + o**5 + o**4.\nAnswer: (o - 1)*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(16) - 4*sqrt(144))\/(sqrt(64)\/sqrt(8)*3)*-6)**2*-4.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/(1*-3)*-4. Suppose 2*n + g = s - 13, n - 48 = -4*s. Suppose -m + 3*x = -101, -3*x + 315 = 6*m - 3*m. What is the greatest common factor of m and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h = 26 - -791. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-21\/4)\/s*s*s**(-43)*s*s*s*(s\/(s**(-3\/5)\/s))\/(s*s**(2\/21)) assuming s is positive.\nAnswer: s**(-18373\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 130280 and 56.\nAnswer: 911960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/8, -5\/3, 45, -73?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + 5*q - 28. Let u = 18 - q. Suppose -u*m + 105 = -35. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/3*-6 - 3. Let l be (-3 - v - -3)*20. What is the remainder when 23 is divided by 2\/8 - 255\/l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9129383 to the power of 1\/2, to the nearest integer?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(11\/5)\/w**(1\/3)*(w\/(w*w*w**(-8)*w*w))**8 assuming w is positive.\nAnswer: w**(628\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 18, 0, -1 in ascending order.\nAnswer: -1, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2\/15*v**2 + 184\/15*v + 238\/3 = 0. What is v?\nAnswer: -85, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/10 and 22\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -42*l**3 + 5*l**2 - 6*l. Let v(w) = 41*w**3 - 6*w**2 + 9*w. Give -3*p(s) - 2*v(s).\nAnswer: 44*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the third derivative of u**5\/24 + 5*u**4\/24 - 37*u**3\/3 - 2*u**2 - 12*u. Let w(l) be the first derivative of z(l). Give w(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, 0, 2, 703, 37, -9 in increasing order.\nAnswer: -11, -9, 0, 2, 37, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 353, 722, 1101, 1490, 1889?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 5:50 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -5*c**3 + 63*c**3 - 106*c**3 + (4*c**2 - 2*c**2 + 0*c**2)*(1 - 2*c - 1) + 0*c**2 + c**3 + 0*c**2 in the form u*c**2 + g*c + v*c**3 + f and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18554 + 18553. Let q(b) = 22*b + 36. Determine q(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -343 + 336.98. Let t = 4.7 + d. What is t rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 - 11074?\nAnswer: -11073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7126 + -4068. What are the prime factors of r?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k + 6. Suppose 3*n - 72 = p, -15*n + p + 48 = -13*n. Suppose 0 = -9*t + n*t - 1770. What is the remainder when t is divided by z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12)\/9*(0 + -4 + 1). Solve -5*w + 4 = 3*u + 15, -o*w - 1 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16 + 30. Let s = 174 + -92. Suppose 0*i + s = 2*i + j, 3*i = j + 118. Calculate the remainder when i is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001 - -1111101?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 5391*o + 5352. Determine z(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 59857.5 times 14?\nAnswer: 838005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9753468 and 42?\nAnswer: 68274276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-9))\/(((-7)\/(1512\/32))\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 2*y = 108 - 24, 2*y - 2 = 0. Let g = t + 82. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the first derivative of 0*g**3 - g**2 + 0*g + 3\/4*g**4 + 4. What is the second derivative of v(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3294 at most as big as -3288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 45*p*v**3 + 839*p*v - 62*v**3 + 3 wrt v?\nAnswer: 270*p*v - 372*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(231))\/sqrt(7) + sqrt(297)*-3)\/((sqrt(176) + -2*sqrt(176))*2) + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 30*d**3 + 117*d**2 + 11046*d wrt d.\nAnswer: 180*d + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -0.03821.\nAnswer: -0.11463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, a: 1, t: 4, p: 2, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(200) + (sqrt(200) + 0)*-6 - (0 + sqrt(200) + -1 - (-1 + sqrt(200) + 0)))*-1)**2.\nAnswer: -400*sqrt(2) + 5016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 + 5 + -1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g + 12*g + 0*g)*(-234*g**2 - 363*g**2 - 1033*g**2).\nAnswer: -16300*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 28*u - 17*u + 12 - 9*u - 5. Let j(w) = 0 - 3*w + 2 + 4 + 4*w. What is 6*j(l) - 5*k(l)?\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of -2*u**5\/25 - 13*u**4\/5 + 2*u**3\/15 + 26*u**2\/5 - 1122. Suppose z(g) = 0. What is g?\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the first derivative of 17*d**5\/20 - 15*d**2\/2 + 9*d + 9. Let x(v) be the first derivative of l(v). What is the derivative of x(j) wrt j?\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5*(-1 + (-306)\/70). Let d = 27 + p. Calculate the common denominator of d and -52\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21 (base 4) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 + 2*o + 3. Let k be z(-2). Let d(q) = 2 - q - q + 3*q - k*q. Calculate d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (30\/8 - 3\/4) + 1. Let f be (0 + (-6)\/m)\/((-21)\/112). Let n be 1\/(-2) + (-28)\/(-8). Solve -2*w - j - n + 4 = 0, w + 3*j = f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (96\/(-176))\/(26\/(-429)). Solve d*f + 100 = -16*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 120\/(-70)*7\/(-2). Let d be (-1)\/3 + (-10)\/t. Let n be 0 + (2\/(-2) - 0). Put 5, d, n in decreasing order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7231818 and 4266?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 57852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p - p - 2*p + 8 - 5*p - 8 + (-p + 3 - 3)*(-2 - 1 + 2) to l + g*p and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 419 is divided by 174?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100*m - 125 = 375. Solve -27 = 2*o + 2*n - 17, m*o - n = -25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 7:23 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*a**2 + 0*a**2 + a**3 + (-1 - 4*a**2 + 1)*(-2 + 2 + a - 1).\nAnswer: -3*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11\/(385\/(-42)))\/((-56)\/35).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1618 * -8.\nAnswer: -12944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 2 = -3*r. Suppose b = -5*d + r - 4, -4*b + 63 = 5*d. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2040, 4066, 6020, 7872, 9592, 11150, 12516, 13660?\nAnswer: 14552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -36117*a = 2*r - 36121*a + 22, -31*a + 156 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 3*h + 3. Let y(w) = 2*w + 1. Let i(b) = u(b) + y(b). Let j(a) = 6*a + 4. Determine -5*i(o) + 4*j(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h + 4*h - 4*h**2)*(-5 - 3*h + 5)*(-16 + 16 + 17).\nAnswer: 204*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:37 AM and 10:37 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - 0. Let h = 38 - 28. Let b = h - g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((11\/55)\/(-1))\/((-18)\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 6. Let u be (6\/(-99))\/(49\/63). Let i = u - 16\/77. Which is the third biggest value? (a) m (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127994 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 316072566 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*g + 3, -28 = -4*u - 4*g. Let m(i) be the second derivative of -11*i**3\/2 - 21238*i. Let a(v) = -16*v. Calculate u*m(f) - 11*a(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 70148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -l - 28. Let p = 15 + l. Put -5, 0, 3, p in decreasing order.\nAnswer: 3, p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(168) - 2*((sqrt(168) + (sqrt(168) - 2*sqrt(168)) + sqrt(168) - sqrt(168)) + sqrt(168))) + (sqrt(168) - 4*sqrt(168)*-1))\/(-2*sqrt(864)*5).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -14*g**3 - 14*g**2 - 20. Let i(d) = -2*d**2 - 6*d + 3. Let y be i(-5). Let w(m) = -4*m**2 + 1 - 8 - 5*m**3 - m**2. Calculate y*w(v) + 6*s(v).\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -204 + 1024\/5. Suppose 3*k + 2*w - 1 = 9, -4 = k - 3*w. Suppose -4*z - 5*g = -1, -3*z - 3 = 2*g - k. What is the smallest value in s, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*sqrt(15)\/sqrt(5) + sqrt(3) + ((sqrt(48)\/sqrt(4))\/sqrt(4))**2.\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b + 2*t = -25, -3*b - 6*t = -5*t - 401 + 397 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0\/2 + 837\/(-27) + 34. Let d(c) = -c**2 - 4*c + 5. Let g be d(-5). Suppose -2\/7*w**2 + 2\/7*w**5 - 2\/7*w**n + g*w + 2\/7*w**4 + 0 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 123789*i - 2*j + 10 = 123783*i, -2*i + 3*j = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5271 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + -1b?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/3*-2)\/((80\/(-15))\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/6 + 0 - 6\/20. What is the smallest value in f, -2\/3, 3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 125 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 2*p - 13. Let d be c(10). Let x(y) = 4*y**2 - 14*y - 15. Is x(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 + -14. Sort -7, 2, z, 24 in increasing order.\nAnswer: -7, z, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 + 2*o**2 + 2*o + 6. Let h(q) = q**3 + q**2 + q - 1. Give 2*h(d) - i(d).\nAnswer: d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3804070 is divided by 171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 72407761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the third derivative of 5*x**6\/8 - x**5\/60 - 20*x**3\/3 + x**2 - 37. Find the third derivative of v(n) wrt n.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((-4)\/(-4))*2\/((-4)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -21, -28, -51, -96, -169, -276, -423, -616?\n\"Answer: -w**3 - 2*w**2 + 6*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/91 in -5, 0, 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -3*v - 2. Let y be g(-2). Suppose -4*u - 45 = -2*l + 53, 2*l + y*u - 58 = 0. Suppose 0 = 3*f - 0*f - l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 120, 0, -325, 3 in ascending order.\nAnswer: -325, 0, 3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 11 (b) 1 (c) 88.9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -43*i**2 + 4*i + 27. Let g(f) = -43*f**2 + 5*f + 26. Give 5*b(h) - 4*g(h).\nAnswer: -43*h**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 4, 15, 26, 37, 48, 59?\n\"Answer: 11*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.19 + -0.16. Let q = 0.23 - f. Which is the closest to -1? (a) q (b) 2\/13 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -54464\/15213 - -118\/33. Let o = x + -39149\/8298. Let d = 40045\/6 + -6657. Calculate the common denominator of o and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 16\/201 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1942*g**3 - 1929*g**3 - 2 + 326*g**2 + 3874*g**3 + 2 - 326*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*m + 28*m + 8*f + 1 = -4*m, -f = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -2*a**2 + 5*a**2 - 5*a + a**3 + 0*a**2 + 1 + 0*a**3. Calculate m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - 9. Suppose 5*k - 2*o - 161 = 0, 5*k = 5*o - s*o + 155. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*h**4 - 40*h**3 - 55*h**2 + 100*h.\nAnswer: -5*h*(h - 1)*(h + 4)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -42, -63, -82?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, g: 10, r: 4, i: 2}. What is prob of sequence igoi?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 1*((sqrt(171) + sqrt(171)*3)\/sqrt(9) + -4 + 6*sqrt(1539)*-1 + -2))**2.\nAnswer: 400*sqrt(19) + 47516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f + 1. Let g(j) = 56*j - 1. What is g(a) + x(a)?\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -23333 (base 5) in base 6?\nAnswer: -11542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(sqrt(21)\/sqrt(3)) - (sqrt(275) + 2).\nAnswer: -4*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 49 - 47 - 11*m**2 + 0*m**2 - 11*m**2 + 2*m**3 as u*m**2 + d*m**3 + q + f*m and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4125541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 6312677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-100039)\/(-3337) - 1*(-11)\/517\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -7*b**2. Let r(x) = -2261*x + 10. What is r(v(u))?\nAnswer: 15827*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 6*w - 1. Let p be c(1). Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 0 - 4)*(-u**3 + 0*u + 2*u - u + 8) in the form f + q*u + a*u**3 + w*u**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -10*j + 8*j. Let t = -347\/5 + 69. Which is the closest to 0? (a) t (b) 4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1997359*d**2*u**2 - 3*d**2*u + 4840*d**2 + 41*d wrt u?\nAnswer: -3994718*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(2\/7)*u)**(-5)\/(u**0\/(u*u*u*u**(-3)*u*u*u*u))*(u**(1\/4)*u*u)**(2\/81)*(u**6\/u)\/(u*u**(-1\/2)*u) assuming u is positive.\nAnswer: u**(71\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4056202453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -427*s + 419*s = -48. Let m be 11\/((-132)\/(-90)) - (-3)\/s. Calculate the highest common divisor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 52 + -26. Let d be (-4)\/y + (-3)\/234. Let r = 210.9 - 211. Which is the second smallest value? (a) r (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*h - h. Suppose 12 = -2*y - h*y. Let r(i) be the third derivative of -i**5\/60 - i**4\/3 - 4*i**3\/3 - 36*i**2 - 2*i. Determine r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the third derivative of 0 + 0*k + 4*k**2 - 1\/8*k**4 - 7\/6*k**3. Is 4 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 44*t**2 - t - 1. Let o(g) = g**2 - 10*g + 8. Let k be o(9). Does 22 divide b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1 from -7638161811865.\nAnswer: -7638161811865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 186201.\nAnswer: 3, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -6*c + 10. Suppose -4\/3*f**c + 2\/3*f**4 + 2\/3 + 2*f**5 + 2*f - 4*f**3 = 0. Calculate f.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h - 3*p - 169, -3*p - 101 = 5*h - 471. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the first derivative of -b**4\/4 - b**3 + 9*b**2 - 15*b - 15. What are the prime factors of o(-8)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -6, 14, 66, 168, 338, 594, 954?\n\"Answer: 3*m**3 - 2*m**2 + 5*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 256 or -2\/11?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -934 + 67 - 1076 - 26*a - 55.\nAnswer: -26*a - 1998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 1180*k**2. Let r be f(1). Suppose 4*h - r = -0*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101101011001 (base 2) in base 6?\nAnswer: 21241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41953196.\nAnswer: 2, 23, 456013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -b*c**2*l - 5026*b*c**2 - 2*b*c*d**2 - c**2*d + 1479*c*d**2*l - d**2*l + 2*d**2 - 2*l wrt b.\nAnswer: -c**2*l - 5026*c**2 - 2*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*s**2 + 3*s**2 + 2*s**2)*(-3 + 4 + 0)*(4*s - 4*s - s)*(4*s - 6*s + s).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 71 - 49. Find the second derivative of 22*m**4 - 25*m + 6 + r*m - 10*m**4 + 40*m**4 wrt m.\nAnswer: 624*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -7*w + 67. Calculate k(18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -39\/2 + 21. Let r = 1199\/7 + -171. Put -3\/7, r, z in decreasing order.\nAnswer: z, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/630 and -89\/490.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -277*m + 260*m = -17. What is the biggest value in 0.1, -1.6, m, -21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-8))\/(35\/(4060\/3219))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(192) + sqrt(192) + -3*-1*sqrt(3) + (sqrt(2904)*-2 - sqrt(24))\/sqrt(8))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*f - 2574 = -2520. Let y be 2*(-10)\/(-4)*1. Solve f = y*m - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (-3 + 9) - (-90 + 105 + 56)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 6, g: 2, r: 2, j: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/4 + 1155911*y\/4 - 17917101\/2.\nAnswer: (y - 31)*(y + 1155942)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {n: 1, l: 2, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t + 5*q - 32, 3*q + 15 = 3*t - 9. Let b be (-80)\/(-140) + (500\/(-7))\/(-1). What is the highest common divisor of t and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 17870 = 5*c - 0*a, -c - 2*a = -3578. Suppose 28*q = 34*q - c. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen sevenths of a week in days?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, v: 1, e: 1, y: 1, a: 1, i: 2}. What is prob of sequence iev?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 109\/372 and (-33)\/((-2310)\/(-1708))*4\/(-16).\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2830249 + 20307*i + 2830249 to d + k*i and give k.\nAnswer: 20307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 169.76 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 - 15. Suppose 2*w - 18 = 3*k, 5*k - 2*w + 16 + 18 = 0. What is the units digit of 3\/6*r - k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -57 - -75 - (-5 - -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1a9 + 4a?\nAnswer: -15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -136*g + 3881. What is z(26)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 9}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1248, -199, 1820, 4809, 8768, 13697, 19596?\nAnswer: 26465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*h + 23 + 87. Suppose -b - 5 = 0, -h*r - 17 = -3*r + 5*b. Solve -2*a = -4*t - 8, -r*t + 5*a - 13 = 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1365 + 1360. Let q(s) = 3*s - 3. Let b be q(2). Let i = -3.92 + -0.08. Sort b, i, z in descending order.\nAnswer: b, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6523 + 0.73468. Round f to three decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*g = 40*g - 76. What is the remainder when 828 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -25*q + 139 - 121 + 157. Solve 537 - 551 = q*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5925 = -37*j + 3251. Let c(q) = q**3 + 8*q**2 + 7*q + 1. Let t be c(-6). Calculate the greatest common factor of t and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 77078\/(-90) + 4\/18. Let b be 12\/(-30) - (-21485)\/25. Let w = b + n. Calculate the common denominator of -39\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/(-200))\/((-3)\/24). Let m(p) = p**3 + 6*p**2 + 2*p - 7. Let b be m(-5). What is the second biggest value in b, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.12962 - 0.02962. Suppose -32 - 1 = -2*r - 5*g, -3*r + 5*g + 37 = 0. Let q be (-2 - r\/(-8)) + 0. What is the third smallest value in s, q, -19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**3 - 6*o**2 - o + 2. Suppose 92 = -8*v + 4*v. Let p be 1\/(10\/12)*(v - -28). What is g(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x**1*x)\/x)\/x*x)**(-18)\/(x*x**(-2\/5)*x)**(-29))\/((x**1*x)\/(x**(-3)*x))**(8\/7) assuming x is positive.\nAnswer: x**(834\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2000 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 + 6*j**2 - 5. Let d be (-2)\/3*3 + 5 - 2. Let i(z) = z - 1. Let v(x) = d*o(x) - 5*i(x). Factor v(k).\nAnswer: -k*(k - 5)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37336135 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -47 - 20*z**2 + 30*z**2 - 73*z + 32*z + 8*z - 9*z**2 as a*z**2 + q + l*z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 323 + 546446?\nAnswer: 546771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 20173997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 134794546 + 0.05.\nAnswer: 134794546.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 4*q - 3, -4 = -3*c + 4*q + 19. Solve -2*o = -c*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 - 13*x**2 + 12*x - 6. Let m = 5164 + -5152. Determine i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 198932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-219)\/1752*3\/(-9).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-3 - -6 - 1). Let d = 8240\/9597 + -2\/1371. Find the common denominator of d and r\/6*(-344)\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 68624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/7 and -23\/735?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 99826402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 738 + -738. Solve b = -3*j + 3 + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -18*j - 36*j - 27*j + 24*j. Let u(v) = -73050 + 73050 - v. Give p(u(w)).\nAnswer: 57*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3866 is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 66.5972 centuries in millennia?\nAnswer: 6.65972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -810945*i**3 - 2*i**2 + 5*i + 6. Let b be g(-2). Suppose -2*n + 38287548 = 5*o + b, -o = 3*n - 6360000. What is o rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 110814 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5014340 to the nearest integer?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -609 + 286. Let u = 143 - z. List the prime factors of u.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2a8b95 - 3?\nAnswer: 2a8b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**2 - 4*a + 1. What is the remainder when 10 is divided by w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3*r + 17 = 0, -5*y - r + 100 = 51. Solve y*q = 17 - 77 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*w**3 + 55*w**3 + 92*w**3.\nAnswer: 138*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 742996607 and 2551?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1921 + -1919. Suppose 2*l + 17 - 7 = 0. Sort v, l, -4, 5 in increasing order.\nAnswer: l, -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15209 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1167*o + 10083 = -3921 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35722*w = 35683*w + 702. Let l(v) = 6*v**2 + 2*v - 2. What is the remainder when l(-4) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the third derivative of c**7\/1260 + 173*c**4\/24 + 13*c**2 - c. Let o(f) be the second derivative of a(f). Let m(b) = 6*b**2. What is m(o(d))?\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y + 16. Let n be s(-13). Let u(i) be the third derivative of 0*i + 0*i**n + i**2 - 1\/12*i**4 + 0. Let f(c) = -2*c**2. What is f(u(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 199779 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -14*g*n**2 - 121*g*n + 5*g - 145582*k*n**2 - 2*k*n - k wrt n.\nAnswer: -28*g - 291164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -60, -82, -104, -126, -148?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 13*f**2 + 3*f - 37. Let v be o(13). Let i be v\/6 + (-6)\/18 + 0. Let h = -4 + 9. Put i, h, -1 in decreasing order.\nAnswer: h, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5 (b) -0.38 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t*t\/(t*(t**(1\/3)\/t*t)\/t)*t)\/(t\/(t**(3\/7)\/t)))**(2\/15)\/(((t\/t**1)\/(t\/((t\/t**(-2\/21))\/t)*t*t))\/(t**(2\/5)*t\/t**(2\/17))) assuming t is positive.\nAnswer: t**(23918\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6556 - 4618. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - f - 7 = 0, 4*z - 5*f - 6 = 17. Suppose 2*o = -z*o + 72. Suppose p = 3*p - o. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/3)*o**(-3\/14))**(-1\/5))**(1\/10) assuming o is positive.\nAnswer: o**(37\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/3))**6\/((r\/((r**(1\/7)*r)\/r))\/r**(-2\/37)) assuming r is positive.\nAnswer: r**(-1272\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -96 + 99. Suppose 2*r - 14 = -j*i, -3*r + 4*r = 4*i - 4. Let l = -8 + 15. Is l at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 111*r - 106*r - 8*h - 69, -5*h = -6*r - 25 + 71 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34 + -30. Let z be q + 21\/(-10) - 2. Suppose -i = i + 10. Which is the second biggest value? (a) z (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-402)\/(-1407))\/(3*(-4)\/2814)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 3:13 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1790291389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1484 (base 13) in base 8?\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15426 or 0.7?\nAnswer: 15426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.0552? (a) 6 (b) 4\/3 (c) 129 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7991*m**2*v - 435*m**2 + 17528556*m*v wrt m.\nAnswer: 15982*v - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26920, -53840, -80760, -107680, -134600, -161520?\nAnswer: -188440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6797120 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, b: 1, l: 5, n: 4, s: 3, k: 3}. What is prob of sequence sb?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(-1\/4)\/c)*c)**(5\/11)\/(c**15)**(-2\/73) assuming c is positive.\nAnswer: c**(6065\/3212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (70*a + 53*a - 98*a)*(-4*a**2 + 6*a**2 - a**2).\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2 + -11.8. Let v = 764560\/63 + -84948\/7. Which is the second smallest value? (a) w (b) 2\/7 (c) 3\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000045590773 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 18*r**3 - 4*r**2 + 22*r + 24. Let z be d(-7). Round z to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/729, -0.09, 0.2 in decreasing order.\nAnswer: 0.2, 2\/729, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - 0 - (-9 - (-1 - 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 5*s**2 - 49*s - 15. Give i(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 + 4. Let x be 44*((-21)\/(-6))\/b. Let g(z) = -z**3 + 22*z**2 + 1. Let i be g(x). Sort 5, i, 0 in descending order.\nAnswer: 5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnnnznnntnnnnzzn. Give prob of picking 2 n and 1 t.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*v**2 - 11 + 17 - 6 - 11*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 39157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + m**2. Let h(p) = p**2 + 3*p - 1. Let n be h(-3). Let j be b(n). Suppose j = -0*o + 2*o - 22. Calculate the remainder when 41 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) -31 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2360, 9199, 20728, 36953, 57880, 83515, 113864, 148933?\n\"Answer: g**3 + 2339*g**2 - 185*g + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 24494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -2*r + 41, -2*r + r = 5. Suppose -w + 2 + 108 = -3*v, -3*v = 3*w + 90. Let g be 730\/v - 2\/14 - -3. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 + -4. Let f be -6 - (0 + 2)\/h. Let w = -2.9 + -0.1. Which is the smallest value? (a) -0.1 (b) w (c) f (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 45 = j, 0*j + j + 5*r - 85 = 0. Let p(s) = -s**2 + 21. Let t be p(0). Suppose -3*h + t + j = 0. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -172, -340, -508?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/5))**16*(w*w**(2\/7))**(-3\/14) assuming w is positive.\nAnswer: w**(-1703\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wsdswswjwkswjsww. Give prob of sequence swsj.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 94.92099 minutes to milliseconds.\nAnswer: 5695259.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 2206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from addfdtddadididdiada.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 867*f**3 + 6*f**2 - 327*f. Let o(r) = 434*r**3 + 3*r**2 - 163*r. Let c(p) = -11*o(p) + 6*x(p). Find the third derivative of c(n) wrt n.\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111001110 (base 2) to base 16.\nAnswer: -3ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, -2.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -6 + 7*m + 3*m + 2*m. Let k be -2*9\/30*(-150)\/45. Let c be p(k). What is the greatest common divisor of 162 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.5001478 days in weeks?\nAnswer: 0.7857354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -155291\/80543806 - 2\/52781. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 152 = -34*r, -102*r = -203*r + 103*r + 4*w + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 13384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*y**5 + 5 - 5 - 11*y**5 - 3*y**2 wrt y?\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16799989.00034 + -16799676. Let q = -313 + z. Round q to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1057 = f + 2*l, l = -f - 649 - 412. Let r = -751 - f. Suppose 4*a - 633 = -4*x + a, -r = -2*x - 2*a. Calculate the greatest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -34.8 + 34.7. What is the closest to 0 in -2, 10, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 - 16. Let c be (-6)\/14*12\/s. Which is greater: -0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 64c82 (base 14) to base 6\nAnswer: 5121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/174570 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - -5 - (8 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 5. Let z = -8034 + 8034.2. Which is the nearest to 2\/9? (a) z (b) -1\/3 (c) 2\/9 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*r + 5, -5*b - 26 = -b - 2*r. List the prime factors of ((-6)\/b)\/(515\/128 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 - 3100423345?\nAnswer: -3100423342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**10\/(r*r**8))**(-1\/13) assuming r is positive.\nAnswer: r**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 5*m + 12 = 0, s + 4*m + 0 - 3 = 0. Let y(p) = 7*p**2 + 4*p - 11. Is y(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 9\/27 + (-4)\/(-6). Let d be (-1 - -1)\/u - -3. Suppose x - 235 = d*a, -a - 243 = -x + 4*a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 21*x**2 - 2*x + 49. Let u be z(21). Suppose 4*j = 2*h - u*h + 11, -3*h + 3*j = -12. Is 8 a factor of h + 70\/(-2)*4\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1382098853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 2)*(1 - 1 - 1)*((3*s - s - 3*s)*(-2*s + 5*s + 8*s) + 14*s - 35*s + 6*s**2 + 6*s) as v*s + f + x*s**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1199*l - 1195*l - 3*w - 8 = 0, 4*w = 5*l - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - -7 - (5 - 2)\/(-3). Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*p + 3*p. Solve p = c - 5*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 85 + -53. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + c - 2*h - 16 = 0, 2*h - 14 = -2*c. Suppose 3*z - c*z = -24. Suppose z = 2*m + m. Calculate the least common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h**3 + 6*h**2 + 277*h - 570 = 0. Calculate h.\nAnswer: -15, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 - 25 = -16*m. Suppose 0 = p + m - 3. Suppose 2*q = -3*s + 33, p = 3*q + 2*s - 3*s - 77. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 2*g - 6. Let y(a) = -3*a + 10. Suppose 15 + 20 = -7*h. Let q(j) = h*t(j) - 3*y(j). Let s(r) = 37*r**2. Determine s(q(w)).\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 0)*(-2 + 2 - 2*b) + 2531*b + 4128*b + 919*b.\nAnswer: 7580*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32012605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**4 + 9244*a**3 - 7290708*a**2 + 2086803700*a - 98267022232.\nAnswer: -4*(a - 751)**3*(a - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -68.294245 less than 0.055?\nAnswer: 68.349245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6 - 4 + 0)*(-2 + 2 + 2*t**4) - 4*t**4 + t**4 + t**4)*(-29 + 6 + 12).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 8231650?\nAnswer: 1\/8231650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 33 - 299\/9. Let h = r + 8\/9. Let m be 6\/(1 + -3) - -4. Which is the nearest to m? (a) 2\/9 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 511*l**2 + l**4 + 99*l + 106*l - 510*l**2 to h*l**3 + r + i*l + w*l**4 + o*l**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 AM and 1:24 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -973*a + 975*a - 65 = 3*u, 0 = -0*u - 4*u + 4*a - 84 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -23144a (base 14) to base 12.\nAnswer: -49730a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 13, a: 6}. Give prob of sequence ra.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 + 9*f**2 - f - 33. Calculate i(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, p: 2, x: 7, s: 3, w: 5}. What is prob of picking 3 s and 1 p?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p - 2. Let x be d(-5). Let i = x + 9. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 4*g**2 - 4*g + 3. Let r(d) be the first derivative of -23*d**3\/3 + 23*d**2\/2 - 17*d + 34. Give -6*r(s) - 34*v(s).\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 16 = 4*k, 3*l + 7*k - 4*k - 18 = 0. Suppose 4*m = 5*m - l. Let w be (-5)\/20 - (-26)\/m. Solve w*a + 1 - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 239*o - 29*o + 1261 = -1679 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -6*t - 5. Let y be g(-1). Let q be y\/(-5) + 947858\/140. Let b = q + -6767. Calculate the common denominator of b and -81\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -100 + 98. Which is the second biggest value? (a) -3 (b) 4 (c) 2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((sqrt(88)*-4)\/sqrt(8) - (sqrt(99) + (sqrt(99) - -4*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(9)).\nAnswer: -10*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 41 + -45 + 27 + -32 + 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -301 < -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -4*v - 1. Let b(r) = -1 + 6 - 2*r - 4 - 2. Suppose -12 = 4*p - 4*l + 5*l, 4*l = 3*p - 10. Let g = -28 - -33. What is g*b(k) + p*j(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23658, 48030, 72402, 96774?\nAnswer: 121146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -10*a + 7. Let r be -28 + 22 - (0 + 1). Let d(j) = 4*j - 3. Let m(y) = r*d(y) - 3*u(y). Let k(v) = 19*v. Calculate k(m(o)).\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -498*o - 5397 = -557*o - 500. What is the greatest common divisor of o and 8051?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -240*h**3 - 143*h - 147*h + 288*h.\nAnswer: -240*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 2 = 17. Let f(m) = -34*m - p + 32*m + 1. What is the smallest common multiple of f(-4) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**2 - 5*s - 3. Let u = -5 + 2. Let l be b(u). Suppose 4*c - 120 = -v - l*v, -2*c = 5*v - 165. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the first derivative of w**5\/3 - 5*w**4\/4 - 55*w**3\/9 + 5*w**2\/2 + 50*w\/3 - 135. Solve b(y) = 0 for y.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 18, 2\/7, -7, 0.2 in descending order.\nAnswer: 18, 8, 2\/7, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + ((-1*sqrt(700) - sqrt(700))*-5 + sqrt(700) + -5 + 3)*-5*-4)**2.\nAnswer: -180400*sqrt(7) + 33881681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (32\/20 - 0)\/((-4)\/10). Let b(l) = -l**2 - 2*l + 14. Let r be b(t). Let o(u) = u**2 - r + 113*u - 119*u + 1. Give o(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1314 - 1313.6. What is the second biggest value in 0, -24, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 913*u = 911*u - 10*x + 208, 2*x - 20 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = o + 35. Suppose -4*b + o = -5. Differentiate -f**3 + 1 + b - 3 with respect to f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from kjpbini.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 4*i**2 - 5*i + 6. Let n be p(4). Factor 1073*b - n*b**2 + 0*b**3 - 298*b + 308*b + 3*b**3 + 0*b**3.\nAnswer: 3*b*(b - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 733834643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 122*c - 131*c = -99. Solve -3*d + n + c = 0, -8*d + 4*n = -9*d + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 divided by -3179704?\nAnswer: 7\/1589852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*k + 4*k + 70. Calculate the remainder when k is divided by 3\/1 - (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-9)\/(-108)*(-30)\/(-4) and -107\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + 12\/36*1497 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 98 and 1356764675.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -12002 (base 6) in base 16?\nAnswer: -6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 2.4. Let v be (-10)\/15*(-18)\/4. Let f = -4 + v. What is the second smallest value in f, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 13, 1, 15, -4 in increasing order.\nAnswer: -4, 1, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12 or -995635?\nAnswer: -995635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9930*j**3 + 4968*j**3 + 4964*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 1\/75 (b) 5 (c) 2\/17 (d) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -8877 = 888*c - 1157*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4.99407709 rounded to four dps?\nAnswer: 4.9941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 502834 (b) -0.2 (c) 1\/2 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 1 - 26 = 0. Factor d*o**3 - 7*o**3 + 5*o**5 + 4*o**2 - 2 - o**5 - 2*o**4 - 2*o**5 + 2*o.\nAnswer: 2*(o - 1)**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-8)\/(-6))\/((-1)\/(-3)). Let b = -323\/2 - -182. What is the common denominator of b and 644\/(-48) + w\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1599697637?\nAnswer: 17, 94099861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**2\/(w*w**(-4)))\/(w**1\/(w*w**(-1\/21))) assuming w is positive.\nAnswer: w**(104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12 - (26 + -4 + 33) - (-14 - -4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k - 17. Let h(p) = 2*p + 50. Let a(t) = 11*b(t) + 4*h(t). Let r(i) = -2*i + 9. Give 5*a(m) - 7*r(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -2*a - 4. Let r(m) = 2*m. Give j(r(q)).\nAnswer: -4*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -32\/21, -2.59, 0.1, -8 in descending order.\nAnswer: 0.1, -32\/21, -2.59, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -14 + (16 + 2 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2178448 is divided by 450?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 6112 = 258*v - 263*v, -3672 = -3*v - 3*k. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 973530617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, a: 3, q: 2}. What is prob of picking 2 m and 1 a?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -15*j**2 - 39*j + 55. What is t(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -421404 divided by 70234.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 + 35. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 4 + 5 - 19*u)*(4*u**4 + 0*u**4 - 3*u**4).\nAnswer: -19*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 7*f - 5. Let i be t(5). Suppose 3*d = -3*y + 30, -3*y + d = -3*d - i. Let c be (-8)\/((18\/(-3))\/3). Solve 5*q - c*j = y, -2*q + 3 + 1 = 4*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19 + 18. Let j(k) be the first derivative of k**2 + 5*k + 2. Let r(y) = 1. Let x(n) = t*j(n) + 4*r(n). Let u(v) = -3*v - 1. Determine 3*u(c) - 4*x(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1995 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -30796 + 30796.0000014493. Round l to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 652 or 23.11?\nAnswer: 23.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2 - 146*b - 599. Let z be h(150). Let y = -2208191\/424 - -5208. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-4 + sqrt(1300)*-3)**2.\nAnswer: 240*sqrt(13) + 11721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/76 and -51\/6248?\nAnswer: 118712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3 (b) 1 (c) -5 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g - 7. Let v(k) = -k - 7. Let i(l) = 2*v(l) - 3*x(l). What is the units digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 122063838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 16, 79, 240, 547, 1048, 1791, 2824?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 120591 (b) 0.1 (c) -4 (d) -4\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(32)*-4)**2 + -5 + sqrt(8) - (0 + sqrt(162)*5).\nAnswer: -43*sqrt(2) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 16431024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 125139 and 202020.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 636 divided by 6.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9*k**3*v**2*z + 11*k**3*z + 3*k*z**2 + 2*v**2*z - 13*v*z**2 + 32*z**2 wrt v.\nAnswer: -18*k**3*v*z + 4*v*z - 13*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2515, -2481, -2401, -2257, -2031?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -58.4803 + -0.0297. Let v = -45.4 - 9.9. Let l = a - v. Round l to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21121801838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 2.70864 times 198\nAnswer: 536.31072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 96.07 rounded to zero dps?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1436038667.\nAnswer: 7, 499, 411119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4\/39, 0.82, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-31)\/6 + 6)\/((-10)\/(-18)) + 9\/(-30).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 217394389.\nAnswer: 6899, 31511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = -5*x - 11, -5*x + p - 2 - 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15.4 + 17. Let p = n - 2. Let s = -0.02 + 4.02. What is the second smallest value in s, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(1\/4))**(28\/9)\/(r\/((r**(-7)\/r)\/r)*r*r*r**3*r))\/(r**(-2)*r*(r**5\/r)\/r)**(7\/3) assuming r is positive.\nAnswer: r**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -23*d**5 - d**4 - 304*d wrt d?\nAnswer: -460*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3360 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-156)\/((-169)\/(-13))*((-4)\/(-21))\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*x - 20*x - 3*r = -1, r + 4 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z**2 - 15327542*z + 70506799 = 0.\nAnswer: -3065513, 23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 33 + 18 = 0. Sort -2, -12, h, 4 in decreasing order.\nAnswer: 4, -2, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1404689 and 121?\nAnswer: 1404689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*j**3 - 52 + 52.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (16\/6)\/((-8)\/12) + 6. Factor 54*v**x + 111*v**3 - 119 - 33*v**3 + 6*v**5 - 3*v**5 + 27*v**4 + 38 - 81*v.\nAnswer: 3*(v - 1)*(v + 1)*(v + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.37178 * -2.9.\nAnswer: 15.578162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**2 + f - 1. Let k be 2*11*2\/4. Suppose -4*q + k = 3. Determine i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1419543327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 2) + 2285\/(-450) + (-36)\/162.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -9*(28\/(-36))\/(175\/(-150))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3235*j**3 - 24*j**2 + 1779870*j.\nAnswer: -19410*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*z + 359 = 185 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xeii when four letters picked without replacement from eiixplxiplvvxi?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b + 34. Let m be n(-25). Solve 3*k - m + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-36)\/16)\/((-15)\/3760*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -2\/228717 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -19 - -21. Solve -5*h - 2*l + 15 = 0, -w*h - 5*l = 3 + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + 11000011111010111010100111?\nAnswer: 11000011111010111010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 20126757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-640)\/495 - (12 - (-2210)\/(-187))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -1588*a - 1289872. Determine t(-812).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -g**4 + 260*g**3 - 6549*g**2 + 12322*g - 6032 = 0.\nAnswer: 1, 26, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 - 45 + 4)*(23*b + 757 - 757).\nAnswer: -1265*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2, 0.1, 95\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.08 + 0.08. Let s = 1 + l. Are 0 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = 22*d + 112. Let z be 28416\/(-3400) - d - (-2)\/17. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/(-117) - (1 + 147\/(-143))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 646 + -15. Suppose -5*u - 646 + a = 0. Let i be ((-4)\/(-42))\/((-2)\/12). What is the smallest value in i, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-16)\/42)\/(4\/6). Let b = 0.94 - 1.94. What is the closest to b in 5, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - 0*z - 10. Let t be ((-2)\/4)\/(z\/(-28)). Let a(j) = -45*j + 16. Is a(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 482 a factor of 1532278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -1. Let f(c) be the second derivative of -c**4\/12 + c**3\/3 - 3*c**2 + 2*c. Let d(a) = -f(a) + 3*g(a). What is the tens digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a + 1. Let k(f) = -f**2 - 16*f - 4. Let y(g) = -5*d(g) + k(g). Let s be y(-10). Solve 3*p = -14 - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5169688?\nAnswer: 2, 139, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 0, 0.17738.\nAnswer: -0.1, 0, 0.17738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 874*d + 2*t + 6 = 873*d, 2*t - 14 = -6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 143877379 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 3*c = 2*c + 1, -p = -5*c - 25. Suppose q - 2*k - 8 = -k, -p*q + 58 = 4*k. Suppose 1 = -4*f + 9. Calculate the highest common divisor of f and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 49 + 22*o + 23 + 50 - 13. Calculate the lowest common multiple of 99 and q(-4).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 4*a**2 - 3*a - 5. Let d be m(5). Suppose 115 = d*n - 3*b, -4*b + 129 = 4*n + b. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 114962923 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39944580 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 2 u, and 1 e when four letters picked without replacement from {e: 1, t: 1, u: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3433933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1183, 1431, 1701, 2005, 2355?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 3*w**2 + 5*w + 4. Let q(u) = -3*u**2 - 4*u - 5. Let c(l) = -5*q(l) - 4*t(l). Find the first derivative of c(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48316180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 7334752 (base 8) to base 4.\nAnswer: 13123213222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 6)*(4*u + 0*u - 2*u)*(1 + 1 - 1) - 9*u + 8*u + 16*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 1051695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68770 is divided by 63922?\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p + 2 - 1 + 0*p)*(-7*p**4 + 399*p**3 - 399*p**3).\nAnswer: 14*p**5 - 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 3792.982 micrometers?\nAnswer: 0.3792982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2\/7, -19, -3\/7 in descending order.\nAnswer: 4, 2\/7, -3\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k - 5*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33680 and 69336.\nAnswer: 291904560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 39*j - 69*j + 59*j)*(0 - 112*j + 18 - 18) to the form v + d*j**2 + t*j and give d.\nAnswer: 5488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 89193, 178396, 267621, 356880, 446185, 535548?\nAnswer: 624981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58815 and 30.\nAnswer: 117630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -369971 - 316918 = -63*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2436, -2467, -2580, -2817, -3220?\n\"Answer: -7*y**3 + y**2 + 15*y - 2445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/1 + 3\/3 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4883 is divided by 529?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*c**5*l**2 + 133*c**5*l + 2*c**2 - c*l**2 + l wrt c?\nAnswer: -240*c**2*l**2 + 7980*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119*q - 9 = -120*q. Let l be (114\/q - 6)*6. Solve 0 = 4*h - 2*x + 4 + 6, -5*h - l = 3*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 6 = 0, 3*n - 4*n + 5 = -m. Suppose 6 = u - 5*r + 13, 5*u - n = 4*r. Solve 0 = -u*z - 2 + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-25)\/(-7))\/(705\/(-4935))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 5720202*i + 4 - 5720208*i + i**3 - 2*i**3 + 5*i**2. Let k be (6 + -1)*(-20)\/(-25). Give a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 90555996*y**2 + 1193303*y + 42 wrt y.\nAnswer: 181111992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 154, 155, 156, 157, 158, 159?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7887 divided by 2.\nAnswer: 7887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 - (5 + 4 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 8*m**2 - 6*m + 14. Calculate i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 73072, 73063, 73050, 73033, 73012, 72987, 72958?\nAnswer: 72925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9655, 9656, 9657, 9658?\nAnswer: 9659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*a - 14*a - 9*a - 16*a + 54*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c*c*(c*c\/(c*c**(1\/8))*c*c*c)\/c*c))*c*c\/(c*(c\/(c**(-1\/10)\/c))\/c*c*c))\/(c*c**4*c*c\/((c**(-1\/6)\/c*c)\/c)*c) assuming c is positive.\nAnswer: c**(-647\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 3*o = -1520, -2*w + 3*o + 760 = 6*o. Is w a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -4*m. Let i(r) = 107*r - 17. Determine i(s(a)).\nAnswer: -428*a - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 720068488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -124 = 27*c - 340 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 17 + -64 + 39 + 28 - (-3 + (5 - 2))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -3\/4 (c) -2\/35 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 62 + 130. Suppose 3*g = -g + 4*z + o, -3*g + z + 138 = 0. Suppose -g = -0*v - v. 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: Let r be (-54)\/27 + 13\/1. Let d(i) = -i**3 + 8*i + 2. Let f(o) = 5*o**3 - 41*o - 10. Calculate r*d(v) + 2*f(v).\nAnswer: -v**3 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -874 - -128236.68.\nAnswer: 127362.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 c when three letters picked without replacement from {b: 3, c: 4, p: 9}.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 552 = 26*t - 34*t. Let h = 73 + t. Suppose 3*n = 3*m - 24, 5*m + 4*n - h = -9. Solve -m*u = -0*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**2 - 20*f - 24. Let p be t(-18). What is the units digit of (64 - p\/4) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1572569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 33*x**2 + 2*x - 56. Let i be l(33). Solve 2*q + 6 = 0, 2*p - i = 4*q - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-92)\/(-115))\/((-14)\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -34*g + 3457. Let w(q) = 10*q**2 - 3*q + 1. Let f be 4\/(-14) + (-32)\/(-14). Calculate the remainder when w(f) is divided by y(101).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of -2\/7*s**3 - 1\/42*s**4 + 0 - 9\/7*s**2 - 2*s. Factor f(y).\nAnswer: -2*(y + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24836238 - -9050.\nAnswer: -24827188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 + 20*z**2 - 3*z + 24. Is a(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 8*w**2 + 9*w + 13. Let d be i(-7). Suppose 210 = 4*k - d. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8, -0.1, 2\/9, -2, -3, 0.056821?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12*m + 9*m**5 + 0*m**5 - 7*m**5 wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/102912 and -7\/137216.\nAnswer: 411648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-15) - ((-692)\/10 - -4). What is the highest common divisor of a and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 * 7.678335\nAnswer: 69.105015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 38158200305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 5 + 1 = 0. Let g be (f\/(-2))\/(49\/28). Is g at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3457.979 kilograms in tonnes?\nAnswer: 3.457979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62563485?\nAnswer: 3, 5, 17, 19, 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of 2*d**7\/105 + 59*d**6\/10 + 3538*d**5\/5 + 112694*d**4\/3 + 390224*d**3 - 894*d**2. Factor m(a).\nAnswer: 4*(a + 3)*(a + 58)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by 26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -y**2 - 62 - 167 - 98 + 66 in the form p*y**2 + l*y + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 80599104 to the power of 1\/2, to the nearest integer?\nAnswer: 8978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (1 + (1 - 0) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 231, 975, 2211, 3933, 6135, 8811?\n\"Answer: -q**3 + 252*q**2 - 5*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*m**2 + 0*m**2 - 4*m**2 + (-5*m + 3*m + m)*(m + m - m) - 2*m**2 + 6*m**2 - 2*m**2 + 9948*m**2 + 10338*m**2 - 13231*m**2.\nAnswer: 7054*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2842 + -2371. What is the greatest common factor of 628 and s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1707271675 rounded to five decimal places?\nAnswer: -0.17073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0\/1 + 17 + -39 + 20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*f**4*p + 31*f**4 + f + p - 15 wrt f?\nAnswer: -48*f**2*p + 372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 6*v = 16. Suppose -6*l - 33 = -153. Determine k, given that 20 + v*k**2 + 8*k**2 - l - 12*k - 3*k**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 8*k. Let m(h) = h. Suppose 5*n = 12 + 58. Let s(l) = n*m(l) - 2*z(l). Let i(y) = -4*y. Calculate s(i(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 309753*y - 2478033. Calculate t(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 + 7.234104393.\nAnswer: 7.734104393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3.2 + 2. Let t = 1.8 - r. Let s = 0.5 + 0.5. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*c - 648 = -3146 - 2046 + 413 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-3)*21\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4*0.145656\nAnswer: -0.582624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (((0 + sqrt(1331))*5 - sqrt(1331)) + sqrt(1331) + 1 + sqrt(1331) + 3)*5)**2.\nAnswer: 9900*sqrt(11) + 1198125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, x: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(2\/11)\/(c*c*c\/c**9)*((c\/c**(-8))\/c)\/c*c\/(c*c**8*c) assuming c is positive.\nAnswer: c**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-27)*(-9 - (-486)\/45). Let c = -4.18 + -0.82. What is the closest to s in -2, c, -80, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70*t**2 - 107*t**2 + 1 - 1.\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n - 29525*n**2 + 20*n**3 + 29543*n**2 + 2*n.\nAnswer: 20*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 76 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 198 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 706842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 59048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of -3*b**4\/20 - b**3\/3 + b**2\/5 + 197. Let a(k) = 0. Calculate k.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2359409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -24.662 (b) -0.3 (c) 140\/13 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 355529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 + 23*i - 93. Let a(d) = -6*d**2 - 115*d + 466. Let l(j) = 2*a(j) + 11*t(j). What is the remainder when 115 is divided by l(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.743734376 + 2.332.\nAnswer: 3.075734376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) be the first derivative of -17*k**5\/20 - 133*k**2\/2 - 131. Let h(l) be the second derivative of v(l). Let o(s) = -2*s**2. Calculate h(o(x)).\nAnswer: -204*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-28*p - 50 + 24 + 24)*(3*p + 300 - 300)*(-1 + 2 + 0).\nAnswer: -84*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 508*d - 505*d = 0, -t + 50 = 6*d - d for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 12 - ((2 - 0 - -52) + -69 + (118 - 38))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 39 - 38.8. What is the third smallest value in q, 1\/2, 2\/15, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -4, -348 in increasing order.\nAnswer: -348, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xhx. What is prob of sequence xh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**6*q\/q**(6\/5))**(-16)*(((q\/(q**(-1)*q))\/q*q)\/(q\/((q**(-2\/29)*q)\/q)))**28 assuming q is positive.\nAnswer: q**(-13736\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -25 + 65. Suppose 2*m + 0*m - h = 0. Let v = 21 - 5. What is the lowest common multiple of v and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 157951841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -147 - -146. What is the nearest to 1 in n, -13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/4)\/((-342)\/48 + -3 + 10). Which is the biggest value? (a) 5 (b) 1411 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -24*o**3 + 9*o**2 + 24*o - 12. Let q(i) = -i**3 + i**2 + 2*i - 1. Give 12*q(l) - v(l).\nAnswer: 12*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 - 9249*z + 642895. Determine k(69).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 922636487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does -38452\/23 = -1671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59 - (-16 + -14 + 75 + -30).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -88857 divided by -3291?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - -10 - (-1 + (4 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -35*z**3 + 13*z**3 + 1 + 3*z**2 + 19*z**3 as j + w*z**2 + a*z**3 + y*z and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 10*t - 1660. Calculate the highest common divisor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 - 24?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -158 + 154. Put t, 13, 4, 3 in ascending order.\nAnswer: t, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of u**4\/30 - u**3\/15 - 2*u**2\/5 - 6*u + 5. Let a(h) be the first derivative of t(h). Factor a(c).\nAnswer: 2*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - 4*q + 0*q)*((0 - 2*q + 0)*(q + 4*q - 4*q) + (-4*q + q + q)*(q + 5*q - 4*q)).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -3*q**5 + 1164297*q**4\/2 - 28241842941*q**3 + 84721744887*q**2\/2 + 28241842944*q - 42361454592 = 0. Calculate q.\nAnswer: -1, 1, 3\/2, 97024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -37 (base 12) to base 2\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 20929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -25*z**5\/4 - 437*z**3\/2 - 862*z**2. Differentiate j(b) with respect to b.\nAnswer: -750*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5001430 to the power of 1\/2, to the nearest integer?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n**11*n*n)\/n*n)\/n**8)\/(n**(-2\/3)\/(n*n*n**(-1)*n*n)))**(6\/11) assuming n is positive.\nAnswer: n**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 + 2 = -3*o + 5*h, -3*o - 7 = 4*h. Suppose 3*g = v - 332, 3*v - 417 - 555 = -o*g. List the prime factors of v.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 42.1817 litres to millilitres.\nAnswer: 42181.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 636042 by 106007.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87 is divided by 5*(532\/10)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -3*c - 5. What is the remainder when 27 is divided by o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -98 - 2a8089?\nAnswer: -2a8176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/(-8))\/((-1)\/(-6)). Suppose q*o - 5 = 7. What is the derivative of o*t**2 + 4 - t**3 - 2*t**3 - 4*t**2 wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7551241949?\nAnswer: 7551241949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1419*c**2 + 6053*c**2 - 1422*c**2 - 384*c**2 - 1405*c**2 - 1414*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 83624954.\nAnswer: 2, 7, 1039, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2890 is divided by 328?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 120, 862, 2864, 6750, 13144, 22670?\n\"Answer: 104*n**3 + 6*n**2 - 4*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v + 2*v - v**2 + 5*v**2)*(-4*v**2 + 3*v - 3*v).\nAnswer: -16*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 3*f + 18, -4*z - 5*f = -5 + 3. Let d(x) = x + 3*x**3 + x + 0*x**3. Is d(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 + 2*k + 7. Let r be s(3). Suppose 0 = 3*u - r - 2. What is the remainder when 21 + 2*(-4)\/u is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 630 divided by -46\nAnswer: -315\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 251.\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -139724329798 take away -1?\nAnswer: -139724329797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1497845 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/3, 1\/100, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, u: 9}. What is prob of picking 3 u and 1 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -33*w**3 - 2*w**2 + 4*w + 133. Let k(a) = -34*a**3 - 2*a**2 + 3*a + 134. Let s(r) = -4*k(r) + 3*p(r). Find the first derivative of s(i) wrt i.\nAnswer: 111*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*t + 2*k - 1, -5 = -k - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -176 + 65 = -37*g. Suppose 0 = g*b + 8 - 14, -4*l = -2*b - 8. Solve l - 9 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*s = -53*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 34 - 26 = m, -4*m = -5*z + 86. Let x = 83 + z. Suppose 102 = 5*g + 2*k, 0*k = 5*g - 3*k - x. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75\/(15675\/(-38)))\/(65\/(-49335)).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 309 - 68?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 75*k**2 + k + 2. Let h be q(-1). Let f = h + -70. 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: (-11 - -4)*8\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - -189?\nAnswer: 18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the first derivative of d**6\/3 - 55*d**5 - 667*d**3 - 41. Find the third derivative of b(p) wrt p.\nAnswer: 120*p**2 - 6600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 89*j - 90*j + 11, -6 = -2*i. Suppose -d + j = 12, -4*d = -4*a + 3596. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.34 - 5.26. Let p = -56.95 - -64. Let q = g + p. Round q to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 13) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1 (b) -2\/7 (c) 404 (d) -0.2 (e) 0.03 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 76 (base 12) in base 2?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 5*f = -244, 20 = -2*f + 7*f. Let d = 89 + y. Let w = 2 - 9. Put w, -5, d in descending order.\nAnswer: d, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*a + 110 = 35*a. Calculate the remainder when (13250\/625)\/(-2*2\/(-120)) is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -3*h - 8. Suppose 17*v + h*v - 116 = 0. Solve 0 = -v*g - 4 + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -363*g**4 - g - 84*g**4 + g - 145 - 5*g. Let c(f) = -224*f**4 - 2*f - 73. Let i(t) = 5*c(t) - 2*s(t). Find the first derivative of i(a) wrt a.\nAnswer: -904*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20212.\nAnswer: 2, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(360) + sqrt(360)*-1)\/sqrt(6))\/(-4*sqrt(5)*-1))\/(-2*sqrt(8)\/(sqrt(2)*-4)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -8*n + 4. Let y(u) be the third derivative of -u**4\/12 + u**3\/6 - 4*u**2. Let r(p) = -2*h(p) + 9*y(p). Find the first derivative of r(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -5*a, 4*q - 830 = -3*a + 6*a. Calculate the greatest common divisor of 12992 and q.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -127, -219, -245, -169, 45, 433, 1031?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 - 3*c + 3*c)*(5*c**2 - 10*c**2 - 18*c**2 + (3 - 2 + 2)*(c**2 + c - c) + (9 - 9 - 4*c)*(0*c + 0*c + 2*c)).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 80c001 (base 13) in base 4?\nAnswer: 23123213211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 4 - 3 - 4 + 1 + 1 + (0 + 0 - 2)*(3 - 4 - 1) - 2 - 2 + 6 - 3 + 2 + 3)*(4 + 1 - 7) + 1 - 2 - 1)*(-107 - x + 107).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(42)*-2)\/((sqrt(60)\/sqrt(160) - sqrt(6)) + sqrt(6) - sqrt(6)) - ((2*sqrt(175))**2*5 - (-4 + (sqrt(175)*2)**2)))*-4.\nAnswer: -32*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 57 - 36. Let k = -21.11 + h. Let j = k - 0.39. What is the closest to -0.1 in -5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times -30\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8275.389 decades in centuries?\nAnswer: 827.5389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 5, -6\/11, 282?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 69271*b - 53. Let n(h) = -9236*h + 7. Calculate 7*m(f) + 53*n(f).\nAnswer: -4611*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 7*i = m - 28303, 0 = -2*m - 4*i + 56670. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8811 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 10200 by -255.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t be 16\/2*2\/(-4). Let z = -3.98 + 3.88. Which is the third biggest value? (a) 2\/11 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 661 divide 44933458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -179, -357, -535, -713, -891?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 5*s = 58, -s - 49 = 3*y + y. Let r = -2 - y. Let a = -5 + r. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(2 + sqrt(7488) + 1 + sqrt(7488)))**2.\nAnswer: 2592*sqrt(13) + 269649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-95 + -20 - (-57 + 29)) + -10\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add -0.4 and -1496015157.\nAnswer: -1496015157.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**3 - 6695*p**2 - 604780*p - 598080.\nAnswer: 5*(p - 1424)*(p + 1)*(p + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from asasfssaafaf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 568751984.\nAnswer: 2, 2113, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -88*z + 117*z + 87 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gf when two letters picked without replacement from ocffffgogfog?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**2 - r + 32. Suppose 4*q = 2*q. Let p be j(q). Suppose p - 152 = -4*m. What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.2729 and 3336.\nAnswer: 3336.2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1 + 1\/3*-41 and 33\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(-2) + 22\/60. Let x = -1980\/12701 - -2\/977. Which is the nearest to -1? (a) t (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3876*s**2 + 3876*s**2 + 53*s**3 + 3876*s**2 - 11631*s**2 + 12 to z*s**2 + m*s + f*s**3 + a and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 141056 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10274 and 20?\nAnswer: 102740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 1 = -4*d - 24, -4*d - 2*g = -2. Sort d, -3, 188, 5.\nAnswer: -3, d, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3093 + 755 = 37*p. Calculate the remainder when p is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/1376 and -55\/36.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 o when three letters picked without replacement from {c: 1, w: 1, i: 2, o: 2, b: 1, y: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 PM and 8:49 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**3\/7 + 15660*f**2\/7 + 46966*f\/7 + 31308\/7 = 0. What is f?\nAnswer: -7827, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -6 (b) 52 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 32, -6, 5050 in decreasing order.\nAnswer: 5050, 32, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4626189072 to the nearest integer?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 599 in 2, 12, -404, 1\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-255)\/20)\/(-17) + (-86)\/8. Let f be 2 - -3*(-159)\/45. Are r and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*c + 8*t + 118 = 22*c, 30 = 10*t for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1713 - 1713 + 127*m + 5*m**3 - 2*m**3.\nAnswer: 3*m**3 + 127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 255\/51*(-6)\/165?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18 - (-7 + 0)) + 4 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -94 - -96. Let v = 12.8 + -13. Which is the closest to s? (a) v (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 7*o - 19. Determine v(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 282797275 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2*q - 2. Let t be h(2). Let o be 63\/15 - t\/10. Let i(z) = -3*z**3 - 14*z**2 + 11*z**2 + o*z**3. Give i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1283 minus -0.68028842?\nAnswer: 1283.68028842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 5*b = 23, 11*r - 27 = 10*r + 5*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0514 + -245.0514. Let m = o - -247. Let d = -0.9 + 1. What is the closest to d in m, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - 22) + -1 - (-339 + 302)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (27 - 17 - 26) + 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -3 + 1 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(10\/(350\/21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 3*a + 3. Let w(u) = -7*u - 6. Let d(n) = -11*c(n) - 6*w(n). Let p be d(3). Calculate the remainder when 18 is divided by (-1)\/2 + p\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (13 - 13)*1\/2. Let a(p) be the third derivative of 0*p + 1\/30*p**6 + 0 + p**2 + 0*p**4 + u*p**3 + 1\/15*p**5. Find the third derivative of a(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 89120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -29180 - 9572. Calculate the highest common factor of n and 519.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b**2*p**2 - 2*b**2*p - 1351*b*p**2 - b*p + 12*b - 9*p**2 + 35 wrt p.\nAnswer: -2*b**2 - 2702*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16011*j**3 - 33166*j**2?\nAnswer: 96066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 66, 188, 420, 798, 1358?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 1409 and 0.\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 12*k**2 - 7*k - 24. What is the lowest common multiple of u(-4) and 7?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 191154 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.816 - -0.016. Let k = 0.168 - -0.032. What is the second smallest value in k, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*f + 8*f = 243*f + 88*f - 12040 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -77*q - 113 + q - 88 wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 77 divide 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/8 + (-3 - (-4)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 300 - 211. Let y = r - 91. Suppose 0 = 4*x - 4*u - 20, -2*x - 2*u = 3*u - 3. Which is the closest to -1? (a) x (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**3 + 9*c**2 + 11*c + 14. Let k be z(-8). Let q = -11 - k. Does 17 divide 1\/((-150)\/153 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -28, -2\/7, 0, -1\/46 in decreasing order.\nAnswer: 0, -1\/46, -2\/7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -3, -159 in decreasing order.\nAnswer: -2, -3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from {j: 3, h: 8}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40010 is divided by 274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(2) + 1 + 2 + -1.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 995 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/3289128 and -59\/86556.\nAnswer: 3289128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 3*m - 30, 4*m + 3 = -5. Let j = 6 - k. Let c(x) = -x**3 - 7*x**2 - 7*x - 9. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26469\/8 or 3309?\nAnswer: 26469\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -2396087, -0.5, -2, 0.01 in increasing order.\nAnswer: -2396087, -2, -0.5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 + 22 = -10*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 172051877?\nAnswer: 172051877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a - 8, 61*k - 2*a = 60*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7744*w**3 + 29046703*w - 7741*w**3 - 29046703*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**6\/u**(-2\/7))**(5\/6)\/(u\/(u\/u**(-5))*u**(2\/15))**33 assuming u is positive.\nAnswer: u**(17413\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) 0.142 (c) 2 (d) 3\/7 (e) 6 (f) -0.2 (g) -3\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (70\/(-30))\/(1\/(-9)). Suppose 0*y + 5*y - 25 = 0, 3*l - q = 3*y. Put 2, 1, l in increasing order.\nAnswer: 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -23002 - 11?\nAnswer: -23013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {r: 2, u: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28\/157 and 145\/6.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 2113?\nAnswer: -2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -421*g**2 - 165*g wrt g.\nAnswer: -842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -1114407*b**3\/4 + 2064027*b**2\/2 + 10367*b + 26 = 0.\nAnswer: -2\/399, 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/230 and 79\/32614?\nAnswer: 163070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*1*2 - (sqrt(76) + (sqrt(76) + (sqrt(76) - (sqrt(76) - -3*sqrt(76))) - sqrt(76)))*-6)\/((2*sqrt(1600))\/(sqrt(384)\/sqrt(6))))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes before 12:37 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -716 + 719. Solve -r*q - 12 = 9*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + 4 + (-6 - -4). Suppose -2*p = -5*j + p + 935, 4*j + 2*p - 726 = 0. What is the second derivative of -184*a**3 + j*a**3 - 8*a - y*a**5 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 - 155*k - 5654. Let y be s(-96). Let h(f) = -f**3 + 10*f**2 + 7*f - 74. Give h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 0.08. Let k = v - -3.92. Is k at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -254 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2534491013 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/8217536 and 145\/36978912?\nAnswer: 73957824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 30, -4, 133, -5 in ascending order.\nAnswer: -5, -4, -1, 1, 30, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y\/y**(-17))*y*y**(-16)*y*y\/y**(-7)*y*(y\/(y\/(y**(6\/13)*y*y))*y)\/y assuming y is positive.\nAnswer: y**(-254\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/17041 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-126)\/(-45))\/(20\/25)*8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + -140200?\nAnswer: -140175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*h + 3*h + 684. Let z = h + -22. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-66)\/(-11)*5\/30. Solve -2*q + 4*t = 2, -4*q + 4*t - b = -5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -5622*k - 157467. What is a(-28)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 5*k - 8. Let b(r) = -2. Let n(l) = l + 1. Let j(c) = 4*b(c) + 3*n(c). Let d(g) = 8*j(g) - 5*m(g). Let t(v) = v. Give t(d(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*v + 1250 - 290 = 12*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w + 4. Let q be g(3). Let o = q - -3. Suppose -4*u + 50 = -2*a + 14, 0 = o*u + 3*a - 26. Calculate the least common multiple of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/2*16490\/(-7372). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000600283 rounded to 6 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + (4 - 1) + 6 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 56*v + 93. What is the tens digit of l(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15*(28\/(-20))\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10914 - 10770. Let n(o) = -o + 38. Calculate the remainder when p is divided by n(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 501 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/(-2) - -9*5. Let v = o - 24. Let p be 2\/(-5) - (-2 + 8\/(-20)). Solve 0 = -4*r + 2*r + 3*n - v, p*r + 3*n = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 40 + -119\/3. Let y = -83 + 86. Let z = 7 - 2. What is the nearest to y in -1, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*b - 12 = -23*b + 4*x, 0 = 4*b + 2*x - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 - 2)*(3*z - 2*z - 5*z)*(2*z - 3*z**2 + 4*z**2 + z**2) to the form f*z**2 + t*z + b*z**3 + y and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 37 - 34. Suppose 4*n + 3*w = 18, 0 = -2*n - 3*w + w + 10. Solve 3 = s, -s - m = h - n*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10 + 2*g - 3 - 3 - 3*g as s*g + o and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 122. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/1 - (4 - (-9)\/3). Let t be (-27)\/i*8\/(-6) - 2. Let m be (t\/(-3 + 7))\/(-1 + 3). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89540.33 kilograms in tonnes?\nAnswer: 89.54033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 26 = 5*i, -3*i - 3 = -4*p + 7. Solve 0 = i*d - 2, 0 = -m + 2*d - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 PM and 7:27 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -56\/22125 and -86\/1482375?\nAnswer: 1482375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*(p**(-25)*p)\/p))**(1\/16)*p**(-1\/6)\/(p*(p\/(p\/(p**(-26)*p)))\/p) assuming p is positive.\nAnswer: p**(1267\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*u**2 + 4*u**2 + 5*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 10 + -1 + -2 - 3. Factor -a**3 + 3*a**3 - 2*a**5 + a**5 + 3*a**5 + 4*a**r.\nAnswer: 2*a**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91017007.\nAnswer: 41, 89, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 w, and 2 s when four letters picked without replacement from {n: 1, w: 1, r: 1, y: 2, s: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of -5 - 588\/(-30) - (-6)\/(-10) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 4 and 87663.66?\nAnswer: 87659.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = 9, -3*c + 118 = 2*b + 101 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 3:57 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51269*o**3 + 48*o + 51268*o**3 + 49*o.\nAnswer: -o**3 + 97*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 4 = u, 2*j + 5*u = 7*j. Let g be 3 - 8 - j\/(-1). What is the units digit of g\/((3 + -1)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + 40\/14 + (-5436)\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 271503 is divided by 187.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*l + 6*l - l)*(-3 + 5 - 3) + 4*l - 3*l - 4*l + (-1 - 1 + 4)*(18 - 34*l - 18)*(27 + 45 - 7) to the form c + w*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/90531 and 25\/113203986.\nAnswer: 1018835874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of 4*a**2 + 1\/24*a**4 + 0 - 2\/3*a**3 + 0*a. Differentiate m(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 141 = -3*w + 69, -146 = -2*w - 5*k. Calculate the remainder when w is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*s**2 - 3*s**2 - 3*s**2 + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) 0.6 (b) 0.3 (c) 4 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3205 to 2 dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*l - 2390 = -356. Calculate the smallest common multiple of l and 12.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 48037 and 1089.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*g**3 - 48*g**3 - 58*g**3 - 24*g**3.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y**3 + 9*y - 10. Let s(v) = -3*v**3 - 13*v + 15. Determine 7*h(z) + 5*s(z).\nAnswer: -z**3 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -53 + 40. Let r = -13 + -7. Let p = r + 8. Does p = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 441666419 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -30024.81 - -29794.80897. Let g = 655 + -425. Let t = q + g. What is t rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -39 + 40. Suppose -10*o = j + 19. What is the units digit of (-2079)\/(-3 + -6) + (-2)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 2*y**4\/9 + 64*y**3\/9 - 23758*y**2\/9 + 15748*y\/3 = 0.\nAnswer: -127, 0, 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.9? (a) -66 (b) 1.0174 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -493, -884, -1285, -1702, -2141, -2608?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -155 + 294. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2*i = 2, 1 = -5*b + i - 2*i. Let f(v) = -17*v + 3481. Is f(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 10.65 - -34873052481.\nAnswer: 34873052491.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooouu. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is v in -5*v**5 - 865*v**4 + 875*v**3 + 865*v**2 - 870*v = 0?\nAnswer: -174, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1331469741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v + 2. Let r(k) = -3*k + 5. Let h(f) = 6*r(f) - 13*s(f). Let j = 43 - 28. What is the remainder when h(-5) is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 126*u**4 - 5*u**2*x**3 - 3414*x**3 wrt u.\nAnswer: 504*u**3 - 10*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-98 + 207 + 222 + (-4 + 2 - 1)*(-2 + 0 + 1))*(2*y - 1 + 2*y - 6*y + (0 + 3 - 1)*(-2*y + 4 - 4)).\nAnswer: -2004*y - 334","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12389801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5 - 74\/(-14))*14\/4. Solve -3*i - p + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/4 - 551*o\/2 - 121503\/4.\nAnswer: (o - 1203)*(o + 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20, 49, 80, 113, 148?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 57 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 - -2 - (1 - 32). Suppose 4*q = -2 - v. What is the units digit of q\/6*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -5.4, 0.3, 2\/21, -96?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15138, 15143, 15150, 15159, 15170, 15183, 15198?\nAnswer: 15215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*h + 8*h - 50740 - 2*h + 6165.\nAnswer: -4*h - 44575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 4*k**2 - 3*k**2 - 76*k**3 + 45*k**3 + k + 102*k**3 + 96*k**3 - 3 in the form r + l*k + d*k**2 + u*k**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 + 11. Let w = y + -25. Solve 0 = -l - 1 - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -155804*b - 2 - 154982*b + 310257*b.\nAnswer: -529*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 485141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*s + 41 = 121 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 270811664 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 69307679?\nAnswer: 7, 9901097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Is 4070830261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of -4\/3*m**4 + 0 + 4*m - 13\/3*m**3 + 0*m**2. Find the second derivative of u(d) wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 14 = -64. Calculate the remainder when q is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(187) + (sqrt(187)*-3 + sqrt(187) + sqrt(187) + sqrt(187) - sqrt(187))*-3 + sqrt(187))\/sqrt(11) + -4)*-4.\nAnswer: -20*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -19, -86, -165, -262, -383, -534, -721?\n\"Answer: -d**3 - 60*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1)*h**(1\/13))**(-3\/4)\/(((h\/h**0)\/(h**1\/h))\/(h\/((h**(1\/4)*h)\/h))**(23\/4)) assuming h is positive.\nAnswer: h**(833\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**6)**(-1\/11))**38)**48 assuming b is positive.\nAnswer: b**(-10944\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 229, 211, 175, 115, 25, -101, -269?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9689, 9839, 9989, 10139, 10289, 10439?\nAnswer: 10589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2438032486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 267*k**2 + 2254284*k + 25329.\nAnswer: 3*(k + 8443)*(89*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -994047, -994055, -994063, -994071, -994079, -994087?\nAnswer: -994095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -47707665?\nAnswer: 4\/47707665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the first derivative of -w**3 + 4*w**2 + 12. Let x(i) = -i**2. What is x(n(j))?\nAnswer: -9*j**4 + 48*j**3 - 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -51049 - 309401.4.\nAnswer: -360450.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -43*r**2 + 27*r - 4. Let o(g) = -130*g**2 + 80*g - 11. Let y(c) = -6*o(c) + 17*u(c). What is the second derivative of y(v) wrt v?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 263165*b**4 + 6*b**3 + 3*b**2 - 8*b + 2356?\nAnswer: 6315960*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1070 - 4227 = -7*g. What are the prime factors of g?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*((v\/v**(-17))\/v*v)\/v)\/v*(v\/(((v*v**(-2\/7))\/v)\/v))\/v*v**5\/(v\/(v**(-1\/26)\/v)) assuming v is positive.\nAnswer: v**(3867\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/1)\/(44\/(-88)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 434 a factor of 749084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 559147 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 2\/7, -0.1, -4, 1.6, 5\/38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 368 and -138615.\nAnswer: -51010320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - 2. Is -1 + (-2 - o)*19 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**3*q**3*w**3 - g**3*q**3*w**2 + g**3*q**2*w**2 - 566*g**2*q*w**4 + 2*g*q**3*w**2 - 78*q**3 wrt w?\nAnswer: -12*g**3*q**3 - 13584*g**2*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 9*w**2 + 2*w + 1. Let h be c(-1). Suppose -3*a = -h*a - 715. What is a rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 419*i - 416*i + 700 = -220*i + 7613 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -2*t - 11. Let s be v(-11). Let c = -1 + s. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69*r + 65 = -68*r - p, 2*r - 135 = p. What is the greatest common factor of r and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 95 and 6080?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 0.9, 2, 94?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 2 + 12 = 0. Suppose 0 = n*i - i - 50. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 + (-356)\/(4\/(-1)). Factor -i*h**3 - 16*h + 19*h**2 - 7*h**3 - 99*h**2.\nAnswer: -4*h*(5*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjujjujcgxgj. What is prob of picking 2 j?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(17) - (sqrt(68) + 1))**2*5)*-6.\nAnswer: -534 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 115 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 358016718 is divided by 615149.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 2*j + 8 + 16.\nAnswer: 2*j + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 16860464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*z + z. Let y(b) be the third derivative of -b**6\/120 + b**5\/15 - b**4\/8 + 2*b**3\/3 + 2*b**2. Is y(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-3))\/(11*(-108)\/(-297))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7388232.\nAnswer: 2, 3, 307843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - 2 = -r, -2*d + 50 = 5*r + 14 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10014\/695 - 6\/695. Factor -16\/5 + a*h + 54\/5*h**3 - 108\/5*h**2.\nAnswer: 2*(3*h - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 227 + 0 + (9\/12 - (-48)\/192) is divided by 89?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7 and 5508517.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 167\/6138 and 43\/1364?\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 - -7.2. Let k = -0.099 - -2.299. Let c = k - z. Which is bigger: -0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -u - 0*u. Let f be 3 + (-3)\/(3 - u). Suppose f*l - 14 = 3*m + 2, 3*l - 31 = m. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3525 = -5*b - 5*t, b - 91 = -4*t + 629. Let r = b - 663. Put r, 3, 4 in ascending order.\nAnswer: 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 3*j - 21 = 0, 5*h - 29*j - 24 = -26*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000018867 to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 424.5414 years?\nAnswer: 4.245414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -2*h**2 + 5*h - 5. Let y be f(2). Let v be 0\/(-2 - (1 + -2)) - y. What is the second derivative of -u**3 - v*u + 19*u + u**3 - 5*u**3 wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**34*d**(3\/28)\/d*d**(-30)*d**(-5) assuming d is positive.\nAnswer: d**(-1929\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*q**3 + 91*q + 11*q**3 + 69*q - 15*q**3 - 64*q.\nAnswer: 4*q**3 + 96*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1355 (base 7) to base 13\nAnswer: 31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u**2 + 3*u + 78. List the prime factors of d(0).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 543 = -5*k, 4*l - 2*k - 886 = -l. What is the remainder when l is divided by (1 - 0) + 1 + -6 - (25 + -44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k**4 + 10*k**3 - 200*k**2 + 320*k = 0. What is k?\nAnswer: -8, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be 110\/(-88) + 28\/(-16) + 3. Solve -31*r - 24 - 131 = b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -47 - -50. Suppose 0 = 3*h - b + 3, d*b = h - 2 + 11. Factor -1\/3*t**2 + 0*t - t**3 - 2\/3*t**4 + h.\nAnswer: -t**2*(t + 1)*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5164 - -1892. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 57 = -2*t, 2*a + 73 + 5 = 4*t. Is 7 + 7\/(t\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2576 (b) -3 (c) 2 (d) 131 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -4*o**2 + 148*o + 1225. Give i(-8).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -1132*c**2 - 4555*c - 22. What is u(-4)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -212 divided by 4.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15716297 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 56.3? (a) 2\/3 (b) -0.3 (c) 5 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 533*r**2 - 81*r**2 + 562*r**2 - 252*r**2.\nAnswer: 762*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) -2\/7 (b) -0.1055527 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1341 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10 and 62472?\nAnswer: 312360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 3 x when four letters picked without replacement from {o: 3, n: 1, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26237, -26249, -26267, -26291, -26321?\nAnswer: -26357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - 3. Suppose 134*v + 866 - 1053 = 483. Suppose -l - 4*t = -8*t, -3*l + 13 = t. Solve 0*z - l*z - v*m = -8, y*m = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 153 + -104. Let v be (-14)\/y + 9\/7. Let x = 4 + v. Let f(j) = 2*j - 6. Determine f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.14784777 to four decimal places.\nAnswer: -0.1478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3660 take away 33086649?\nAnswer: -33082989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -28424 divided by 44\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -14*r**2 - 7*r**2 + 29*r**2 + 586 + 0*r**2 - 5*r**2 in the form c + o*r + z*r**2 and give c.\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 190282, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3013*t**3 + 331*t**3 + 2119*t**3 + 328*t**3.\nAnswer: -235*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 5*a**2 + a + 5. List the prime factors of f(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -153 - 4. What is the nearest to 1\/3 in -0.4, z, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4235)*-2 + sqrt(35))\/((sqrt(240)\/sqrt(4))\/sqrt(12)).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7*q**4 - q + 9 - 3*q - 9 wrt q.\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2431 and 1989.\nAnswer: 21879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1\/14 + 5\/14. What is the third smallest value in 0.5, t, 0, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*l + z + 89, 73 = 3*l + 2*z. Differentiate 91*x + 202 + l - 217*x wrt x.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -74, -74, -50, 10, 118, 286, 526?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 5*c - 102 = -207, 0 = 3*r + 4*c - 140. Suppose 4*l = 6*l - 32. What is the remainder when r is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -157808111 or -157808116?\nAnswer: -157808111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25 + 15. Suppose 6*s - q = s. What is the derivative of 2 - s + 4 - 6*o + 2*o wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 30 - 2202213?\nAnswer: -2202133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 61.051843*-0.09\nAnswer: -5.49466587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 39451897407\/904 - 43641472. Let y = -63\/113 + s. Calculate the common denominator of y and 3\/12 + 149\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (5 - (-31 - -34)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s. Let t be 0 + 1*-2 + -2. Let d(o) be the first derivative of 3*o**2\/2 + 2*o - 3. Determine t*r(q) - d(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/r**(-2\/7))\/(r\/(r*r\/(r**(-2\/7)*r)))*(r\/(r*r*r**(-7)))\/(r**(-8)*r))\/(((r*r**2)\/r)\/((r*r**6)\/r))**(-11) assuming r is positive.\nAnswer: r**(-206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 + 19. Suppose -97*g - 301*g + 2275 = 57*g. Solve q + 3 = -g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 2666 by -1.\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/234 and -23\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5126663 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -5*a + 1081. Let t(u) = -9*u + 2248. Give 6*t(w) - 11*z(w).\nAnswer: w + 1597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5869, 5445, 4739, 3751, 2481?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -25 + 17. Let w(a) = 3*a - 3. Let x be w(i). Do x and -28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58\/((-3)\/(-2 - (-4)\/8)) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 562.1846 rounded to one dp?\nAnswer: 562.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.2070537 micrometers?\nAnswer: 0.00002070537","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Calculate -0.037 + -2.\nAnswer: -2.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 4 = 3*l, 3*x + 4*l = 59. Calculate the remainder when 102 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -127*k**4 - k**3 - 2*k**2 + 3*k + 1. Let b(m) = -m**3 - 2*m**2 + 3*m + 2. Let o(y) = 4*b(y) - 4*l(y). What is the derivative of o(x) wrt x?\nAnswer: 2032*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 9 + 5 + (0 + 5 - 4)*(1 - 1 - 1) - 1 - 3 + 5)*(z**5 - 2*z**5 - 2*z**5 + (59*z + 15*z**2 - 59*z)*(-2*z**3 - 5*z**3 - z**3)).\nAnswer: 861*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -8*h + 11*h - 0, 5*h = -4*m + 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -120*u. Let g(v) = 115*v. Determine -5*g(d) - 6*h(d).\nAnswer: 145*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 - 4*z**2 + 4*z + 4. Let l be r(4). Let n = l + -12. Let o(j) = -9*j - 4. Let h be o(-4). What is the highest common divisor of n and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19 - 9. What is the common denominator of 283\/12 - n\/(-15) and -13\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -587, -528, -429, -290, -111, 108, 367?\n\"Answer: 20*s**2 - s - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 60 = -p - 4*v, 4*v - 50 = 3*p. Calculate the remainder when (-8)\/20 - 454\/p is divided by (-1422)\/(-117) + 2\/(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o - 10 + 4. Let u be 37 - (-4 + o + 8). Let q = u - 37. Which is smaller: 3\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/7)*x**(-5\/3)\/x*x)\/((x**(-6)*x)\/x**9) assuming x is positive.\nAnswer: x**(265\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - -1. Let k = f + 8.97. Let r = k - -4.23. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*o + 28*o - 95 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -2*l**3 + 12*l**2 - 8*l + 6. Determine d(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 94541 + 65975 = 7171*j - 111950 - 136281 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -144*l - 88. Let z(t) = 5*t + 3. Calculate 6*d(q) + 176*z(q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be 12*(8\/6 + -1). Suppose 3*p - m - 5 = 0, p + m + 10 = 9. Suppose -p = -3*y + j + j, -5*j = -5*y. Put 0, y, k, -4 in descending order.\nAnswer: k, y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7422066 and 79704.\nAnswer: 801583128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 2*n = 86, m - 24 = n - 48. Which is the closest to -1? (a) 2\/15 (b) 15 (c) 4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.2 (c) 139\/258 (d) -0.3 (e) 3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes before 3:45 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -6720000 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (-7 + -8 - -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1177\/276 - 261\/23. Find the common denominator of 62\/33 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-2)*2400\/192 + -13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 823496*w**5 + 8*w**4 + w - 2281134.\nAnswer: 16469920*w**3 + 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of 41*u**8\/168 + 2*u**5\/15 - u**3\/3 + 16*u**2. Find the third derivative of x(g) wrt g.\nAnswer: 4920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-11\/2)\/u*(u\/(u*u**(9\/4)*u*u))\/u assuming u is positive.\nAnswer: u**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 107*a + 433. Let o be u(-4). Solve -o = -30*z - 35 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2. Let s = 312 + -295. Suppose 5*u + 3 = 5*i - s, -i + 3*u + 2 = 0. Let k(v) = -7*v**2 - v + 3. Calculate i*f(b) - k(b).\nAnswer: 2*b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -985 (base 11) to base 5\nAnswer: -14212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 + 358*2\/4. Find the common denominator of 2\/(166\/r - 1) and 39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 11, 1, -9, -19, -29?\n\"Answer: -10*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4579692764?\nAnswer: 2, 17, 67348423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b + 3. Let a be h(1). Suppose 2*r = -a*d - 0*d + 38, 0 = r + 5*d - 15. Suppose -2*i - r = -3*i. Calculate the smallest common multiple of i and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {i: 4, p: 1, q: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -731, -736, -753, -788, -847?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 22\/11 + -7 - (-15)\/2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*f = -35*f - 9. Solve 7 = -2*s - f*v - 9, 3*s + 23 = -4*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1323973, -1323694, -1323415?\n\"Answer: 279*h - 1324252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-2)\/4)\/(40\/(-8320)). Solve m = 2*j + 96 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -50683, -50688, -50703, -50734, -50787, -50868, -50983?\n\"Answer: -o**3 + o**2 - o - 50682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 5*z**2 + 9*z**2 + z**2 - 13*z**2. Let v(d) be the second derivative of d**3\/6 + 2*d**2 - 46*d. Give g(v(i)).\nAnswer: 2*i**2 + 16*i + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3\/30)\/(2\/8). Let h = -1.31 - -1.4. Let q = h + -5.09. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pppppplpppllppp. Give prob of sequence pp.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5921 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -84650 divided by -4847?\nAnswer: 84650\/4847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*j**2 - 21*j**2 - 2122 + 2125.\nAnswer: -40*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 2*h + 726 = 0, 72 + 159 = z - 3*h. What is the lowest common multiple of 14 and z?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132334863.6 rounded to the nearest one hundred thousand?\nAnswer: -132300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 14403149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-4)\/(-10))\/(4\/(-120)). Let z = 7 + q. Put -9, z, 0 in decreasing order.\nAnswer: 0, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 7.8764772 - 0.0060231\nAnswer: 7.8704541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 14*b + 212. Determine r(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*s - 438*s - 8260 = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from csacarrcasaaaazaasd. Give prob of sequence zsrd.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 60 = x. Let v = -10 - -16. Calculate the lowest common multiple of v and 5\/3 - (1 + 640\/x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -930*u - 1631*u - 1539*u - 1051*u + 1553*u in the form s*u + r and give s.\nAnswer: -3598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1*2\/3)\/((-4)\/6). Let v = 18 - 18.07. Let j = -35 - -31. What is the nearest to -2 in v, j, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -3*q + 9. Let w be u(4). Let a = -0.3 - -0.4. Let s = a + -0.3. What is the closest to 1\/3 in s, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of -2*c**4\/3 + c**2\/2 - 3*c - 1. Let u(d) be the first derivative of l(d). Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -53\/4 and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 6 - 2 - 2298*g + 6 - 6730*g)*(g + g - 8*g).\nAnswer: 54168*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**12*w\/(w**(-1\/6)*w))**(17\/2))**(-46\/3) assuming w is positive.\nAnswer: w**(-28543\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*l**2 + 61*l**2 - 125*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**3 - 12*l + 12*l + (4*l**2 - l**2 - 5*l**2)*(l - 6*l + 2*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 105351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1352 a factor of 1291945512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*l**3\/3 + 15187990*l**2\/3 - 1153306852208*l\/3 - 3460330644504 = 0. Calculate l.\nAnswer: -9, 759422\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18 + 20. Let j be (-1)\/4 + (-5)\/4. What is the biggest value in -1, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 6*m. Let d(v) be the third derivative of v**5\/10 - v**2 - 7. Calculate t(d(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - 2. Find the third derivative of -25*s**3 + 29*s**3 - q*s**2 + 3*s**2 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -4*t + 8*t - 22, -2*t = 5*h - 22. Suppose -24 = -2*j - 5*l, t*j + 4*l = 4*j + 22. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z + 5*z - 463*t = 1854, -714*z + 719*z + 4*t = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -17055 divided by 90528\nAnswer: -5685\/30176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -119 + 179. Calculate the greatest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13199 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**2 + 8. Let h be r(0). Let v = -6 + h. Let g(i) = i**2 + 1. Let t be g(1). Solve t*y = o + v*o - 23, 4*y = 3*o - 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -38 - 234. Which is bigger: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(104)*2*-4*1)\/(sqrt(64)\/(sqrt(24)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u + 1. Let d(o) = -1. Let c(q) = -8*q - 7 + 6*q + 3*q. Let a be c(8). Let s(b) = a*d(b) + p(b). Let z(n) = -2*n. Determine s(z(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1192244 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 - 7*b**2 + 6*b - 9. Let a be f(6). Let y be a\/6 + (-1)\/2. Let i be 5\/(-5) + 5 + y. Calculate the highest common factor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*n**3\/5 - 423*n**2\/5 - 1629*n\/5 + 411 = 0. What is n?\nAnswer: -137, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/10 - (-12)\/5. Suppose 2*i = r - 1, 12*r + 5*i = 16*r - 10. What is the highest common divisor of r and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 3*t + 2*o - 1054 = 0, -350 = -t - 2*o. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(2*sqrt(243)*-1 - (1 + sqrt(243)*-1 + sqrt(243))) - ((-2 + 1*sqrt(192) - sqrt(192)*-1*-4) + -4))**2.\nAnswer: 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (31 - 26) + 29.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671419 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a906 - 3?\nAnswer: a903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 206 is divided by 154?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 + 33*r**2 + 34*r + 68. Let x be g(-32). Suppose j = 3*j - 5*i - 981, -j - x*i + 497 = 0. List the prime factors of j.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 428608153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 1059*i. Let v(m) = 215*m. Give v(k(g)).\nAnswer: 227685*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-72)\/(-54) - 10\/(-8) and (-74)\/(-12) - 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 63 + -54. Let q(k) = 6 - 209*k**2 - 10 - 272*k**2 - 17 - 2*k. Let l be q(a). What is l rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33 - (4\/10 - (3276\/(-105))\/(-3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at most as big as -1009\/8026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 10680 by 3.\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -5265.139439 to the nearest integer.\nAnswer: -5265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2872, -2863, -2854?\n\"Answer: 9*a - 2881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 60? (a) 80 (b) 2\/9 (c) 5 (d) -2.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wiwr when four letters picked without replacement from iwrrrgirwrrrrvrrrrvr?\nAnswer: 13\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*y**3 + 3*y**3 - 2*y**3)*(14*y + 0*y + 9*y + (y + 1 - 1)*(-3 + 1 + 0)) in the form i + n*y**3 + p*y**2 + g*y**4 + a*y and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + 4*o = -15, 14*y + 15 = 9*y + 2*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*b**2 + b**2 - b + 1 + 0*b**2)*(-4*b + 0*b + 2*b)*(26*b - 14*b + 14*b).\nAnswer: 260*b**4 + 52*b**3 - 52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4721, -9493, -14255, -18953, -23533, -27941, -32123?\nAnswer: -36025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of -v**5\/110 - 13*v**4\/44 - 40*v**3\/11 - v**2 + 146*v + 2. What is y in g(y) = 0?\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f + 7*f - 7*f - 5)*(5*f - f + 12*f + (0*f - 5*f + 4*f)*(-3 + 3 - 2) + 2*f + 3*f - 4*f + 4*f + 0*f - 2*f).\nAnswer: 21*f**2 - 105*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -304*x - 219*x + 3 + 460*x + (0 - x + 0)*(6 - 1 - 4).\nAnswer: -64*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 + 3)\/(1 + 0). Let a be ((-18)\/k - -3)*-2. Let g(d) be the third derivative of d**5\/60 - d**4\/8 - d**3\/3 - 31*d**2. Calculate g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1309*a - 1306*a + 3306*a - 703*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -489, -981, -1473, -1965, -2457, -2949?\n\"Answer: -492*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 + 7. Suppose -y*h = -12*h. Solve 5*d + 0*d + 10 = h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 484 and 60?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -67, 1, -121 in ascending order.\nAnswer: -121, -67, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*o + 3371225 = 287*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 178548 is divided by 9918?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 11:58 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-22))\/p*p**(3\/11)*(p*p\/(p*p\/((p*p**(-11\/3)*p)\/p))*p)\/(p\/(p*p**(8\/7))) assuming p is positive.\nAnswer: p**(5024\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 380536295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*c)*(5*c**2 - 3*c**2 + 0*c**2)*(1 + 3 - 6).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, q: 15}. Give prob of picking 3 d.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 21 - -12510?\nAnswer: 12531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 - 1123?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 - 2*f + 11. Let m be l(-12). Let y = -64 - m. Let o = -37 + y. Calculate the remainder when 10 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhfhfh. Give prob of picking 1 h and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1047 + 363*w**2 + 372*w**2 - 223 + 372*w**2 - 1115*w**2 to z*w**2 + r*w + t and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-24)*(-64)\/(-672).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (78\/8)\/(1\/60). Suppose -2*j - 155 = -v, v - o = -3*v + j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 3*o - 2*s = 0, 5*o + 2 = 3*s. Suppose -2*g = o*w - 1870, 10*w - 8*w + 4 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00016257 rounded to 6 decimal places?\nAnswer: -0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -60935*q**2. Let m(c) = -c. Give m(s(j)).\nAnswer: 60935*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -2006334 divided by -9?\nAnswer: 222926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4111316 (base 9) to base 5\nAnswer: 1030123421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {q: 1, h: 1, c: 2, z: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19 + -18.9. What is the smallest value in 2, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 4*m**2 - 2*m**2 - 2 + 0*m**2.\nAnswer: 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -5*j**4 + 0*j**4 - 50*j**2 + 55*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -5, 22, 97, 244, 487, 850?\n\"Answer: 4*b**3 - b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(14287\/234)\/157.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 AM and 7:47 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 119 = -81. Suppose -l - 14 = -3*n, -5*n + 8*l - 3*l + m = 0. Suppose 4*t = 5*y - 19, 2*t - 4 = -3*t - n*y. Put t, 3, 2 in increasing order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*s**2 - 3*s**2 + 11*s**2 + (4*s - 2*s + 0*s)*(-5*s + 3*s - 3*s) + s**2 - s**2 + s**2 + (2*s + s - s)*(-2*s + s + 0*s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 + 69*y**2 + 2*y + 230. What is o(-69)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - ((-7 - (1 + -15)) + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 7 = k + r, 4*r - 8 = 2*k. Let x be 1*(2 - -2) + k + 1. Suppose x*s + 5*o - 165 = 0, -4*s + 173 = -5*o - 47. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 55702*o**2 + 27739*o**2 + 1 + 27964*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -18a - 2?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4552439?\nAnswer: 89, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*q = 107*q - 8. Is 3 a factor of ((-1)\/q)\/((-6)\/744)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1851407 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 4 + 2 - 4 + s. Let v = 72 - 66. What is x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5203 divided by -17.\nAnswer: -5203\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w + 7. Let j be n(9). Let b be 0 + -3 - (-1)\/j. Which is bigger: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*r + 48 + 42 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 607.0655 millennia in decades?\nAnswer: 60706.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o - 4*o + 4*o)*(1 + 2*o + o + 3).\nAnswer: 9*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7*p**2 + 18954*p - 8735430.\nAnswer: -14*p + 18954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 - 30\/7*n - 33\/7*n**2 - 3\/7*n**3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 210667309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 165 divide 17885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q**3 - 2*q**2 + 25*q - 100. Let j(y) = -8*y**3 + 9*y**2 - 98*y + 401. Let b(z) = -18*f(z) - 4*j(z). Differentiate b(g) wrt g.\nAnswer: -12*g**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (22\/((-154)\/(-14)))\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2*i**3 + 2*i**2 + 2*i. Let t be w(-1). Solve l = -t*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*u - 21 = 19*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 84861850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -7812, -5252, -2692, -132?\n\"Answer: 2560*u - 10372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 161*w - 174 - 390 + 81. Solve 0 = 2*n - w*o - 1, 2*o - 3 = -o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + 6*(-4 + 15). Suppose -u = -4*f + 4*p, 0*f + 5*f - 88 = 4*p. Differentiate -4*z**4 - 12 + z**4 + f wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*y + 10*y - 2*y**3 + 57*y + 12587 + 59*y**4 - 12579 + 39*y wrt y.\nAnswer: 708*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 6*m**2 + 71*m - 514. Let x(p) = -12*p**2 - 166*p + 1027. Determine -7*u(s) - 3*x(s).\nAnswer: -6*s**2 + s + 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -276 + 279. Solve 16 = -4*b - q*v, 2*b + 8 = 3*v - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 + -1 - 5*5\/25. Let w(a) be the first derivative of v*a**2 - 5\/4*a**4 + a**3 + 0*a - 1. What is the third derivative of w(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*t + t - 4*t - 6*t**2 - 2 in the form m*t**2 + w*t + c and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 164*s**3 + 9*s**2 + 2*s - 2. Calculate the remainder when w(1) is divided by 169.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.873437659 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**4\/3 + 10*x**3\/3 - 26*x**2\/3 + 14*x\/3 = 0 for x.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 25*m**2 - 22*m + 21. Calculate g(-24).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*sqrt(153))\/(sqrt(9) - (sqrt(99) - (sqrt(99) - (-2*sqrt(99) - sqrt(99))))\/sqrt(11)).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 14*o - 1. What is the tens digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -193404 and -1?\nAnswer: 193404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c**2 + 8*c - 6. Let a be u(-5). Let l be (-12)\/(-16) + 321\/(-12). Let r = l + a. Solve -3*y + p = -p, -r*y + p - 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3748.48 rounded to the nearest ten?\nAnswer: -3750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = p. Let q = -10 + 10. Let f = q - -4. Solve k + h = 3*h - 5, -k - f*h - 5 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-67)\/1608 - (22\/(-16) - -1). Let r = 0 + 0. What is the third smallest value in -0.8, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.0141503 or -95?\nAnswer: 0.0141503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-36))\/(((-7)\/(-21)*1)\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 4*d**3 - 8*d**2 + 5*d - 5. Let z(w) = -w**3 + w**2 - w + 1. Calculate -v(m) - 5*z(m).\nAnswer: m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -6\/5, -4, -10, 5\/8, 321 in descending order.\nAnswer: 321, 5\/8, -6\/5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -271490*v**2 - 15 + 271520*v**2 - 2 + 17.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of d**5 + 7*d**4 - 3*d**4 + 5418*d**2 + 364 - 2*d**3 - 364 - 41*d**5 wrt d.\nAnswer: -2400*d**2 + 96*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m = 451 - 155. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126 = -208*t + 217*t. Let a(c) = -c**3 - 12*c**2 + 23*c - 74. Give a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - 10 - 17 + 545*r**3 - 548*r**3 - 2*r**3 + 4*r**3 - 4*r**3 + (-r + 5*r - 2*r)*(-r**2 - 3*r**2 + 3*r**2) - r**2 + r**2 - 2*r**3.\nAnswer: -9*r**3 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 179\/1302 and 49\/310?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5297683 is divided by 225?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*h**3*i - 4*h**3 - 8*h**2*i - 25*h*i + 122*h + 4623*i + 21331 wrt i?\nAnswer: -3*h**3 - 8*h**2 - 25*h + 4623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the third derivative of -w**7\/6300 - w**6\/360 + 3*w**4 + w**3\/6 - 53*w**2. Let x(s) be the second derivative of m(s). Suppose x(k) = 0. What is k?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-344)\/(-44) - 3*4\/(-66). Suppose -63 = -m*d + 121. Calculate the remainder when 84 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -83 = 88*m + 92 + 89 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6916\/40 - (-11)\/110 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (1*(sqrt(288) + (sqrt(288)*1 - sqrt(288)) + sqrt(288) + sqrt(288) + sqrt(288))\/sqrt(12))\/(-3*sqrt(36)\/(sqrt(48) + sqrt(3)))*2)**2.\nAnswer: 400*sqrt(2)\/3 + 3425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.2*2.11183\nAnswer: -0.422366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -10*s**3 - 6*s**2. Let u(q) = 2*q**3 + q**2. Suppose -27*i + 29*i + 6 = 0. Give i*y(k) - 16*u(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 16 and -0.3.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 8, 524, 3.\nAnswer: -2, 3, 8, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*k**3*r + 4*k**3 + 4*k**2*r + 4*k**2 + 2*k*r - 68*k + r + 1 wrt k?\nAnswer: -30*k*r + 24*k + 8*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3764 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4\/11 (b) 0.7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1025, 1017, 1007, 995?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 0 = 6. Let u(m) = -4*m**3 - 2*m**2 - 8*m - 3. Let c be u(l). Let r = 2567 - c. What is r rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6008\/1789 or -4?\nAnswer: -6008\/1789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 82*(7\/(-2) + 3). Let y = h + 67. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a. Let w be 4\/10 + (-8)\/(-5). Let x(g) = 20*g**2 - 10*g**w - 6*g**2. Calculate n(x(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 11, 8\/7, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -87, -3, 0 in increasing order.\nAnswer: -87, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -584, -2, -0.1, 2\/143, -3?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 + -1)*-1 + 0. Let y = 658\/5 + -132. What is the closest to -1\/2 in y, f, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 - 23 = 18*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*2\/(6\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -297778, -1191155, -2680108, -4764631, -7444718, -10720363, -14591560, -19058303?\n\"Answer: z**3 - 297794*z**2 - 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = 3*b + 1532, 2*o = -3*b + 6*b + 1556. Let a = b - -524. Solve -5*j + 11 = -4*n, 3*j - 17 = 3*n + a*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -587 (base 13) to base 7\nAnswer: -2534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/1955 and 7\/153.\nAnswer: 17595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4357 = -5*u + 647. Let w = 1153 + u. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 374, 380, 400, 440, 506, 604?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 22*q**2 + 5 - 30*q**2 + 2*q - q**3 - 3 as x*q + k*q**3 + g*q**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is c in -44*c**4 - 262*c**3 + 13686*c**2 - 19988*c + 6608 = 0?\nAnswer: -236\/11, 1\/2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*q + 2. Suppose q*l = -2*l + 25, -18 = -4*t - 2*l. Suppose -2*g = t*n - 11 - 15, n = -5*g + 65. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 - 4.56. Let z = c - 0.64. Is z less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j - j + 2682. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.3, 0.06, -4, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 4*u**3 - 3*u**2 - 3*u - 1. Let f be o(-1). Put 5, 2, f in increasing order.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 + -31. Let z = -6 + j. Let o(b) = -b**3 - b**2 + 2*b. Let x(u) = -2*u**3 - 3*u**2 + 4*u. Let k(n) = z*o(n) + 2*x(n). Factor k(y).\nAnswer: y*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -j**2\/4 + 61*j - 243\/4 = 0.\nAnswer: 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 15, 80, 261, 618, 1211, 2100, 3345?\n\"Answer: 10*j**3 - 2*j**2 + j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10234 - 6044. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 7, j: 1, r: 1, k: 4}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -23*t**3 - 31*t**2 + 65*t - 31. Let k be w(31). Round k to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(78)\/sqrt(6) - 5*(sqrt(13) + (sqrt(13) + 1 - sqrt(13))**2).\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.233 + -1\nAnswer: -0.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -35 + 37. Let t be 29048\/(-12816) + k\/(-3). Let o = t + -1\/89. What is the common denominator of o and -17\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 2*q**2 + 2*q - 1. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 44434041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 33 - 25. Suppose 3 = -t*c + 35. Is 85 - ((1 - c) + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2060 + 2060.05. Which is the closest to -1.5? (a) 2 (b) h (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 542 - 764. Let w = 4721026 - 4721247.9561. Let n = g - w. What is n rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10631 times 0.003?\nAnswer: -31.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - n - 58014 = 0, -2*t + 4*n + 24675 + 33351 = 0. Suppose 3*l = -f + 14485, -f - f + l + t = 0. Round f to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*d - 8*d + 104*d + (2*d + 2*d - 3*d)*(3 + 0 - 5) + 0*d + 2*d - d)*(-7 + 2 + 2)*(-5 + 8 + 6).\nAnswer: -2727*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2946 - -2944. What is the closest to 2\/37 in -1, 0.9, -5, x?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -26 - -28. Suppose -g + 8 = -4*g + 2*p, f*p - 8 = -5*g. Suppose i = -g*i + 68. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.154 less than or equal to 25.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 114b21 (base 13) to base 5.\nAnswer: 101114103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of z**5\/20 + 57*z**4\/4 + 1953*z**3\/2 - z**2 - 537. Factor y(g).\nAnswer: 3*(g + 21)*(g + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -11*u**3 - u**2 + 2*u - 5. Let x(l) = -9*l**3 + 2*l - 5. Let q(i) = -5*o(i) + 6*x(i). Let k be 1\/(-3*3\/(-36)). Let t = k + -8. What is q(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 7) + -1 + -7 + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 758, 718, 648, 536, 370, 138, -172?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 25 = -3*c. Factor -14*n**2 + c - 5 + 12*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6555 is divided by 657?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pctt when four letters picked without replacement from tptttppcppfpfffcpyp.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2381, 0.05, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 899, 908, 929, 968, 1031?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 7*r**2 - r + 2. Let g be z(2). Let w be ((-2)\/g)\/((-25)\/3). Let d = w - 2\/25. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of -n**5\/150 - 241*n**4\/5 - 696972*n**3\/5 + 2797*n**2 + n. Factor x(j).\nAnswer: -2*(j + 1446)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from fgqgygfgxqdgdgqgxggd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2460 and 84255?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -10 (b) 0.3 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 187*q - 365*q + 198*q to j + n*q and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -4*t + 5. Suppose 0*q = t*q - 50. Solve -1 = o, a - q = 4*a - 5*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + s = 3, 3 = 5*x - 2*s + 3*s. Let a(r) be the first derivative of 24 - 8*r + 11\/3*r**3 + x*r**2. What is the derivative of a(u) wrt u?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.03 + 18.97. Put -2, -2\/7, u, -3 in descending order.\nAnswer: u, -2\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 2*w + 174 = 0, 0 = 278*j - 280*j - 2*w + 340. What is the remainder when 494 is divided by j?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 16 - 13. Suppose -5*l + c = 2*c - 19, l - k*c = -9. Suppose 2*t + 2*i + i = -4, -10 = -4*t + l*i. Put t, 4, 5 in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 4*w + 20 = -g, -2*g - w + 10 = 0. Let q(c) = 4*c + 11. Let v be q(g). List the prime factors of v + -1 + (-2)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 4*k**2. Let r = 89 - 69. Let v(u) = 11 - r*u + 0 - 11. Calculate v(m(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.91 - -1.11. What is the biggest value in -27, 2, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, 52\/15611, 0.01?\nAnswer: 52\/15611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -142 + 144. Let c = 10 - 20. What is the remainder when r is divided by (-5)\/c - (-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 3844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the first derivative of 1\/4*f**4 - 22 - 3*f - 1\/2*f**2 + 8\/3*f**3. Give y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, c: 2, j: 1, u: 2, z: 2}. Give prob of picking 2 c and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g**2. Let m(k) = -k**2 + 10*k - 3. Let d be m(5). Let p = d - 14. Let i(b) = p - 8 - 2*b**2. What is j(i(w))?\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20157?\nAnswer: 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00007639034 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -g + 4390, -41*g = 3*i - 36*g - 13180. What are the prime factors of i?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 5*k = 2*u - 42, 24 = 2*u + k. Let z(p) = 5*p**3 - 5*p**2 + 6*p - 6. Let t(b) = -11*b**3 + 11*b**2 - 13*b + 13. Give u*z(o) + 6*t(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in -0.4, -4.8, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.11 - 9.89. Let u = 59 + -58.952. Let r = u + -2.048. Which is the nearest to 0.1? (a) r (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -4253.\nAnswer: 850.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c*r**3*y + 25*c*r**3 + 6*c*r**2*y - 5*c*y - c + 3*r**3*y + 4*r**2 wrt r.\nAnswer: -12*c*y + 150*c + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, u: 2, y: 11}. Give prob of picking 2 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1683415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the first derivative of -5*y + 2\/3*y**3 + 5 + 1\/12*y**4 + 2*y**2. Let l(h) be the first derivative of f(h). Factor l(a).\nAnswer: (a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4656192, 4656195, 4656202, 4656213, 4656228, 4656247?\nAnswer: 4656270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1974 divided by -282\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 1202.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 39729 and 1881?\nAnswer: 1311057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2966 and 31940854.\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 263*x - 13. Let a(p) = -5*p - 2. Calculate 6*a(t) - y(t).\nAnswer: -293*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 834512973 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 230 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + (-70 + 0 - -44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3368196 and 5954?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -10 less than or equal to -7465\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -d**3*i*y - 107*d**3*y - 3*d**2*i - 7*d**2 - 2*d*i + 2*y wrt d.\nAnswer: -6*i*y - 642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 6*u**2 + u - 9. Let j be b(4). Calculate the greatest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 182 - 179. Suppose 4 = 2*f - 4. Solve 12 = f*q, -s*o + 3*q = 6*q - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3284079 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3.28? (a) -0.1 (b) 33 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40047?\nAnswer: 3, 7, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**17*b)\/(b\/b**(-3\/8)))\/(b**(-5\/4)*b\/(b\/b**(-1))) assuming b is positive.\nAnswer: b**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -114 - -252. Does 46 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-132)\/438)\/(402\/(-29346)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 28433658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/3 + (-1)\/(45\/66). Which is the third smallest value? (a) -7 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1200 - 112?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 391 + 17 = 68*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 78966 and 868618\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.5 in 3\/8, 5, 2, -3.6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1377.690015 - -1377.39. Let c = -0.3 - u. Round c to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d. Let m(q) = 36*q - 28. Let r(a) = 4*a - 3. Let v be (18 + -4)*2\/4. Let x be v*(-4)\/(0 + -1). Let g(s) = x*r(s) - 3*m(s). What is c(g(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -74 (c) -0.3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63509 is divided by 538.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**4*f)\/(f**(-2\/7)\/f))\/((f**(-2\/11)\/f)\/((f\/((f\/f**(-2\/5))\/f))\/f)) assuming f is positive.\nAnswer: f**(2721\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 - 14*o**2 + 14*o - 18. Let b be x(-15). Let j be b - (-2 - (2 + 0)). Solve -j + 4 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -39 at most as big as 1805\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -52*z**2 + 8*z**3 - 2*z**3 - 58*z - 2*z**3 + 103 - 2*z**2 - 5*z**3. Is m(-53) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, -3, 1\/9, 0 in descending order.\nAnswer: 0.6, 1\/9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence de when two letters picked without replacement from eeedederrddedree.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -21*l**3 + 2*l + 1. Let r be b(-1). What is the smallest common multiple of 4 and (-15)\/2*(-16)\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -314 + 316. Solve 4*q - 2*q = 3*v + 4, i*v - 1 = 5*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 25\/(-10)) + 115\/(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11011010100 + -11100101010?\nAnswer: -110111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -469 (base 11) to base 6.\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 94ba0 - -455?\nAnswer: 95435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13.93 + 14. Let v = d - 2.27. What is v rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1670839 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, t: 1, q: 1, j: 4, n: 4, g: 1}. Give prob of picking 3 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 21, 54, 85, 114, 141?\n\"Answer: -o**2 + 36*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -29.408 - -29.308. What is the nearest to -1\/2 in 5.1, q, 0.1, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163140.\nAnswer: 2, 3, 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/157115 and 19\/2415.\nAnswer: 10840935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/8)\/v**(-3))\/(v*v*v**(-2)*v*v)**24)\/(((v*v\/(v**8\/v))\/(v*(v*v**(-1\/5)\/v)\/v))\/((v**(-1)\/v)\/v)**(3\/31)) assuming v is positive.\nAnswer: v**(-50053\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1864693 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 22*d - 134667 - 1229465. Let n be (-1740)\/(d\/31000 - 2). Round n to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 2321?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 204*i**2 - 2451*i + 36. Let p be h(12). Suppose 0 = -2*t - 3*t + 50. Suppose -7*j + 4*j = -15. Solve -j*z = -p*z - t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 71*s**3 + 4*s**2 + 2*s - 2. Suppose -3*y - 6 = 0, -4*q + y + 26 = -56. What is the least common multiple of q and z(1)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -70, -181, -316, -463, -610?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 396*v - 202*v - 37*v**3 - 192*v.\nAnswer: -37*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l - 148*l**2 + 98*l**2 + 69*l**2 to the form b*l**2 + c + d*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 253513355 + -2?\nAnswer: 253513353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 264 and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -118100360 divided by 17\nAnswer: -6947080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + (21 + 7 + -12 + -10 - 1) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2 + 2)*(-29*l**4 + 119*l**4 - 65*l**4) + 9*l**4 - 60*l**2 + 60*l**2 to the form q*l**2 + g*l + o + c*l**4 + s*l**3 and give c.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 37695517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2479 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of y**5\/20 + y**4\/8 - 3992*y**2. Let x(h) be the second derivative of h**4\/12 + h. What is -c(i) + 5*x(i)?\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 498067 + -362592693\/728. Calculate the common denominator of v and -73\/42.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 20.2.\nAnswer: -6.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 4:03 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-126)\/42)\/(4\/(-200)*2). Solve -7*l = -c + 82 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the second derivative of -68*u - 4*u**2 + 2*u**3 + 0 - 1\/3*u**4. Solve p(h) = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 AM and 8:30 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 8*y - 273. Let x(i) = -26*i + 823. Let s(k) = -7*t(k) - 2*x(k). Differentiate s(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -28*g**2 + 4*g - 10. Let q(l) = l**2 + 2*l + 2. Let n(w) = h(w) + 4*q(w). Find the second derivative of n(b) wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the second derivative of u**5\/20 + u**4\/2 + u**3\/6 + 2*u**2 - 8*u. Does 12 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes after 1:11 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**2 - 35*w - 39. Give a(34).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of -2*d**4 - d**3\/3 + 30*d**2 + 32. What is the second derivative of t(g) wrt g?\nAnswer: -48*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that j**4\/7 + 408*j**3 + 2413951*j**2\/7 + 636291276*j\/7 - 91244012 = 0.\nAnswer: -1589, -634, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 11) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.44 * -490.\nAnswer: -1685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k - 17. Let g(s) = 1. Suppose i - 3*l = -1 + 59, 2*i = 3*l + 110. Let x = 58 - i. Let w(b) = x*g(b) - m(b). What is w(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 308291?\nAnswer: 1\/308291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 35) + 166 - (6 - (13 - 6)).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -11*h**5 + 34896*h**3 + 3*h**2 + 15*h + 13809.\nAnswer: -660*h**2 + 209376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rroorror. Give prob of picking 2 r.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 100 = -6*o. Let m be (608\/44 + 2\/11)\/2. Solve 2*r + o = m*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7181583 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 7. Let v be (-3 + d)*2\/(-4). Solve -f - 3*l = 9, v = -l - 4 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(3\/5)*y*(y\/(y**(2\/9)\/y))\/y*y*y*y*y*y*y\/(y\/y**(1\/6))*y**(-2\/3) assuming y is positive.\nAnswer: y**(619\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3392625432 to the power of 1\/2, to the nearest integer?\nAnswer: 58246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2702 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1529, 9, -2345 in descending order.\nAnswer: 1529, 9, 4, -2345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -84810000 to the nearest 1000000.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(2\/27)*v*v)\/(v*v**(-3\/4)*v*v*v*v))\/(v**(-17)\/v*v**20) assuming v is positive.\nAnswer: v**(-451\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 115195, -4, -3, -0.1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (-76 + (-1 - -74))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 79 + 81 = 5*h, -4*h = 4*n - 104. Suppose 4*t = 7*t - 261. Calculate the greatest common factor of h and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -l**5\/3 + 19*l**4\/3 - 38*l**3 + 224*l**2\/3 - 128*l\/3 = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 7*f**2 - 3. Let z(v) = -7*v - 30. Let h(k) = 8*k + 35. Let o(j) = -6*h(j) - 7*z(j). What is b(o(g))?\nAnswer: 7*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 6*g**2 - 6*g + 10. Let b be c(-8). Suppose -3*p + b = -6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -9, -1, 10\/3, -5, 5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 155\/336 and 53\/4044375.\nAnswer: 452970000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -2*g - 7. Let w be k(-5). Let o be (1700\/w)\/((-2)\/6). Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34544505?\nAnswer: 3, 5, 23, 100129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61, 126, 191, 256, 321, 386?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1871*h**3*z - 1604191*h**3 - 9*h**2*z - h*z - h - 2*z - 2 wrt z.\nAnswer: 1871*h**3 - 9*h**2 - h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -39\/647 and (22 - 2) + (-123)\/82.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*o + 6*o = -44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -3277.6 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 2*c - 782, -4*u - 776 = -2*c - 2*u. Let t = c + -6937\/18. Calculate the common denominator of 99\/10 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 13 + 9)*(105 + 18 - 27)*((4*t - 6*t + t)*(t**2 + 0*t**2 - 3*t**2) + t**3 + t**3 + 0*t**3 + t - t - 3*t**3).\nAnswer: 1344*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01973431 to 5 dps.\nAnswer: 0.01973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1188 and 90?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.13808 and 0.2.\nAnswer: -1.827616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - i = 0. Suppose 5*r = -i*r - 3*c - 19, 0 = 5*r + 5*c + 15. Let g = -1 - r. Solve -d - g*d + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*b + 5*b - 12*i = 2*b - 33*i + 16*i - 110, 0 = -2*i - 40 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 809389?\nAnswer: 7, 43, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29 + 0*s**2 - s**3 - 6*s**2 - 14 - 28 + 10*s**2 to the form c*s + i*s**2 + x + d*s**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 122693 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 228 - g**2 - 468 - 12*g + 227. Let o be u(-10). Let q(a) = 4*a + 16. Does 10 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*h + 174 = -105 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16283 is divided by 296.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5.12 + -5. Let r = -0.02 + a. Is 0.1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 14\/(-3)*180\/120. Let f(g) = 29*g**2 - 15*g**2 + 3*g - 7 - 9*g - 18*g**2. Let a(b) = -3*b**2 - 4*b - 5. Give w*a(q) + 5*f(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 6*i**2 + 86*i + 2. Let k(b) = -20*b**2 - 257*b - 2. Give 2*k(m) + 7*t(m).\nAnswer: 2*m**2 + 88*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1243 - -1260. Solve 0 = -21*q + r*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -61*t + 46. Let c(h) = 58*h - 37. Determine -5*c(d) - 4*y(d).\nAnswer: -46*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -5345 divided by -6\nAnswer: 5345\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y, 2 m, and 1 n when four letters picked without replacement from {n: 4, l: 1, m: 2, y: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 4:11 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -215, 3, -2 in ascending order.\nAnswer: -215, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -378?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1937152*b**3 + 324*b**2 + 8484?\nAnswer: 11622912","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 685863 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1)\/(-4))\/((-6)\/(-744)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the first derivative of -1\/3*o**3 - 1\/60*o**5 - 4 + 0*o + 1\/12*o**4 + 1\/360*o**6 + 0*o**2. Let d(x) be the third derivative of z(x). Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 63*m - 121. Give p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1088 and 9124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 4*l**5\/17 - 182*l**4\/17 + 424*l**3\/17 + 274*l**2\/17 - 40*l - 344\/17 = 0. Calculate l.\nAnswer: -1, -1\/2, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 3, t: 15}. Give prob of picking 2 t.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*r**2 + 3*r**2 - 8*r**2 to the form d + g*r**2 + n*r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**2 + 7*m - 6. Let y be p(-8). Suppose d + 3 = -y*d. Let k be 2 - (-1 + d) - -2. Let v(f) = f - 5. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -4*w**3 - 3*w**2 - 5*w + 8. Suppose 3*x + 22 = -2*s, 3*x - x + 3*s + 18 = 0. 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 736804.\nAnswer: 2, 167, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(-2)*((-12)\/(-4) + 71). Let k = y + -60. Calculate the remainder when k is divided by (-132)\/(-10) + 2\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6.17 - -6. Let t = -8.83 + g. Suppose 118*a - 9 = -5*k + 120*a, 5*a = 15. What is the second smallest value in t, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4.954 + -1.046. Let y = 1.4 + -2.5. Let u = y - -1.2. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17939 plus -0.6?\nAnswer: 17938.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**3 - p - 1. Let o(v) = 10*v**3 + 2*v**2 + 3*v + 3. Let k(j) = 3*n(j) + o(j). Find the third derivative of k(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8418901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 60735943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(1\/13))\/m**(-12)*((m**11*m*m)\/m)**(-6\/17) assuming m is positive.\nAnswer: m**(1920\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89*u = 90*u - 2839. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2592 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1358*x + 189*x - 156*x)*(-2 + 2 - x).\nAnswer: 1325*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 11. Suppose -p*n = n - 888. Let z = n + -3. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3.93187 from 569.\nAnswer: 572.93187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the first derivative of i**4\/2 + 2*i**2 - 11. What is the second derivative of p(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 6.8 and 2.237157.\nAnswer: 9.037157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/51468 and 89\/12.\nAnswer: 51468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from osoooooggboooogs. What is prob of sequence gs?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -15 (base 10) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1\/4, 20, -4\/3 in ascending order.\nAnswer: -5, -4\/3, 1\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 53, 98, 147, 200, 257, 318, 383?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -77859 divided by 77859.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of j**9\/6720 - j**6\/720 - j**5\/60 - 12*j**2. Let p(b) be the third derivative of l(b). Calculate p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000003514 rounded to 7 decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 14 by -445.\nAnswer: -14\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -5*d + 23. Let i(g) = 4*g - 22. Let m(c) = -6*i(c) - 5*o(c). Let z be m(-15). Let r be (-2)\/5*(1 - 6). Does z = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 87*c - 91*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 93537877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -50117161, -100234320, -150351479, -200468638, -250585797?\n\"Answer: -50117159*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2 + 7*j + 7. Let n be g(-5). Let l be 6 - (n + 8 + -1). What is the third smallest value in l, -3, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r**2 + 39 - 39 + 4*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**2)**45*(v**(-1)*v)\/(v**1*v))**(-34) assuming v is positive.\nAnswer: v**(-2992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 196604005 * -4.\nAnswer: -786416020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(74\/(-6)))\/((-7551)\/5034)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 24c18 (base 13) to base 15\nAnswer: 15209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 589942*k**3 - 2*k**2 + 100*k - 97. Is b(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 + x**2 + 2*x**2 + 11*x**2)*(42*x - 27*x**3 - 42*x).\nAnswer: -324*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of -y**5\/300 + y**4\/24 - 2*y**3\/15 - 7*y**2. Factor w(m).\nAnswer: -(m - 4)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 140*a + 22 = -136*a, -6*a = -3*w - 18. Suppose 2*l - 10 = -3*l. Suppose -64 = -l*i - 2*i. Calculate the lowest common multiple of w and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the first derivative of -14*m**3\/3 - 5*m**2\/2 - 32*m + 6. Let f(t) = -5*t**2 - 2*t - 11. Let a(b) = -17*f(b) + 6*g(b). Calculate a(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15740*t + 8225.\nAnswer: -15740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 3473327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-8)\/(-3))\/4*-1. Let b = 10.8 - 9. Let u = b - -0.2. Which is bigger: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 22 = 935*k - 931*k, 8*j - k = 17. Suppose -n + 0*n = 0. Solve n = -0*y + j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 61.4 and 1.1767.\nAnswer: 62.5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15075*m - 281 = -15124*m + 160. Calculate the remainder when 3625 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4217418 divided by 1098.\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*h - 94*h - 42 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-5)\/2)\/((-1)\/2). Let g be (-33)\/8 - (1 - v). Let z be (-10)\/126 + (-4)\/(-18). Which is the biggest value? (a) z (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x - 3*x**2 + 4*x**2 - 2291 - 2*x**2.\nAnswer: -x**2 + 3*x - 2291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 644*m + 8. Let b(c) = -c - 1. Let r(h) = -10*b(h) - t(h). Let v be r(4). Is v\/(-8) - 1\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*y - 3*q = 61, 83*q - 17 = 5*y + 82*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -41*b + 2 - 3*b**3 + 2*b**3 - 2*b + 0*b**3 to g + s*b**3 + x*b**2 + v*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g. Let c(q) = 51*q**2 - 21*q - 21. Let u(o) = -5*o**2 + 2*o + 2. Let v = 20 - 41. Let l(n) = v*u(n) - 2*c(n). Determine k(l(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -19*o + 2. Let p(f) be the third derivative of -19*f**4\/8 + 7*f**3\/6 - 313*f**2 + 2. Give -2*p(z) + 7*q(z).\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**2 - 3*b - 2. Let m be w(3). Let j be (-605)\/(-35) + m\/7. Solve -o - 2*o = 2*g, -5*g - j = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.1 and -3.2?\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 23171 times -25367\nAnswer: -587778757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 13 - 11 - (7 - (5 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 287388, 287361, 287320, 287259, 287172, 287053, 286896?\nAnswer: 286695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -23 in -96, -4, 38, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -6*w**3 - 117 + 349 - 31 + 2*w + 187 in the form p + j*w**2 + t*w + m*w**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of -4*b**6\/3 + 28*b**5\/5 + 3*b**4 - 68*b**3\/3 - 10*b**2 + 24*b + 1327. Find n, given that t(n) = 0.\nAnswer: -1, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 261 - 235. Suppose 5*u - 372 = y, -1 - 65 = -u + 3*y. What is the remainder when u is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -8\/19 - 4\/19*m**2 - 2\/19*m**3 + 14\/19*m.\nAnswer: -2*(m - 1)**2*(m + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -191574 or -191575?\nAnswer: -191574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 35, -4, 0.2, 2 in descending order.\nAnswer: 35, 3, 2, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 645021107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 7. Let w(s) = s + 1. What is -l(y) + 2*w(y)?\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(1\/13)*x)**(2\/7)\/(x*x\/x**10*x*x**(-5\/2)) assuming x is positive.\nAnswer: x**(1829\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -132*y**3 + 34*y**2 - 466*y - 1 wrt y?\nAnswer: -792*y + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9 and 8811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2975\/(-300) - -10)*12. Calculate the highest common factor of 1126 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -4*r**2 + 19*r + 34. Determine a(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 8*u - 623. Let y(f) = 3*f - 2. Calculate -c(w) + 3*y(w).\nAnswer: w + 617","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of r**4\/24 + 2*r**3\/3 + 5*r**2. Let p be y(-4). Solve -3*x + 7 - 22 = p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -21889, -44059, -66501, -89209, -112177?\n\"Answer: n**3 - 142*n**2 - 21751*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 206628568 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of t**4\/6 - 4*t. Let z(j) = -j + 7. Let y be z(7). Let q(r) = y*r - 6*r + 4*r. Give u(q(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -142*w = -149*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 10*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -9. Let j = 209 - 1041\/5. Put 1, j, v in increasing order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 201, 188, 165, 132, 89, 36?\n\"Answer: -5*r**2 + 2*r + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*q**3 - 1420692*q**2 - 5682816*q - 5682832.\nAnswer: 4*(q - 355177)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4157462 - -2722436.\nAnswer: 6879898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12333321 - -1300213?\nAnswer: -11033102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -5*b**2 + 6*b + 5. Let g(a) = 5*a**2 - 5*a - 4. Suppose 5*u - 81 - 88 = 4*z, -3*u - 5*z + 131 = 0. Suppose -25 + u = 3*k. Determine k*n(s) + 5*g(s).\nAnswer: 5*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-21)\/(-49) - 314\/14)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 181*t - 923*t + 373*t + 371*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*a + 12 = -2*b + 45*a, 0*b + 42 = 5*b - 13*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3401.\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-60 - 107*f + 60)*(195 - 345 - 75).\nAnswer: 24075*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1363356170 to the power of 1\/2, to the nearest integer?\nAnswer: 36924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 783742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5 - 207\/(-36))\/((-6)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**3 + 6*f**2 - 583*f - 2939. Calculate x(-5).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -31798 (base 16) to base 2.\nAnswer: -110001011110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Calculate 4332 divided by -6.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -150794 bigger than -150792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*m - 45*m - 50*m - 53*m + 200*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 300303 + 21213?\nAnswer: 322122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -123*k + 32543 + 930796 = -1767507. List the prime factors of k.\nAnswer: 2, 17, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 4049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h + 20. Let j(c) = -c**3 + 7*c**2 + 6*c + 1. Let z be j(8). Let v be o(z). Solve -5*b = 4*l - 3*l - 14, -v = 5*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -14*l + 36*l - 216 + 10*l - 2*l + 32*l - 6*l**2. Let z(q) = -4*q**2 + 42*q - 144. Let d(t) = 5*a(t) - 8*z(t). Factor d(x).\nAnswer: 2*(x - 9)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -9, 5, 0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 2*x**2 - 2 + 10*x - 71344*x**4 - 2*x**2 + 71345*x**4 - 10*x**3 in the form y*x + w + a*x**3 + n*x**2 + r*x**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -35912976, -35912975, -35912974?\n\"Answer: m - 35912977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3 - -51)\/2 + -3. Suppose -3*a = k + 15. Let y = a + 12. Is y at least -1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -147*o**2 + 147*o**2 + 4*o**4 - 1 + (-o**2 + 2*o**2 + 0*o**2)*(-3*o**2 + 3*o**2 - 2*o**2).\nAnswer: 2*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 110011 (base 3) to base 13.\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 PM and 1:21 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 60362 or 3682071\/61?\nAnswer: 60362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2 - -16) + (-6 - -7). Suppose -3*i - 1 = n - 2, 0 = 3*i - 6. Find the common denominator of -93\/8 and (-46)\/8 - n\/r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the third derivative of a**9\/60480 - a**8\/20160 - a**7\/1680 + a**6\/720 - 7*a**5\/30 + 7*a**2. Let q(y) be the third derivative of n(y). What is q(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11859 is divided by 4802?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.72 * 0.12.\nAnswer: 0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + -1)*1 - 0. Let s be 2 - ((1 - -2) + j). What is the units digit of s*3*4\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9286619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((12\/12)\/(3*12\/1500))\/((-15)\/(-54)).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48\/(-360) + 156\/495.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 4*i - 16. Let y(v) be the first derivative of -v**3\/3 - 6*v**2 - v + 1. Let o be y(-11). What is the units digit of a(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*r = 33*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.17 - 0.17. Which is the second smallest value? (a) i (b) 1\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 5*x - 6 = 18, 2*m + 5*x = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**2\/5 - 102*m\/5 + 99\/5.\nAnswer: 3*(m - 33)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.8 (c) 0.3 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -46528 divided by -2\nAnswer: 23264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -14998*v + 8. Let p be t(-4). Round p to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 341479299 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 549.0000341 - 549. What is f rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 4 and 1762.\nAnswer: 7048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.06 in 12, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -4*k + 69. Suppose 4*f = 6*f - 4. Suppose 23 = -y - f*c - 7, -5*y = c + 168. What is the common denominator of l(6) and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19617149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 + 9*d + 17. Let p be x(-2). Let l = -13 - -13. Solve l = -3*o - p*q - 24 + 6, 0 = -3*o + 5*q - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -50 - -70. Let g(o) = -o**3 - 8*o**2 - 13*o + 9. Let q be g(-6). Suppose -5*b + q = -w. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -168290 (base 10) to base 6.\nAnswer: -3335042","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose -41*k = -251 - 364. Let m(s) = 2*s**2 - 23*s - 101. Let z be m(k). Factor -z - 7\/2*f + 1\/2*f**2.\nAnswer: (f - 8)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -5749, -23576, -53281, -94864, -148325, -213664, -290881?\n\"Answer: -5939*o**2 - 10*o + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 297 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 - 8. Suppose 5*a - 14 = -2*r + 7, -4*r - 5*a + 27 = 0. Suppose 0 = f - r. Sort -4, f, v in increasing order.\nAnswer: -4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 3*b**2 + 14. Let m(c) = 25*c - 89. Calculate g(m(a)).\nAnswer: 1875*a**2 - 13350*a + 23777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -3671573 and -3671575 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*m**5 - 5*m**5 + 13*m**5 + 2*m**2 + (-3*m**2 - 2*m**4 + 3*m**2)*(m + 3 - 3) + (m - m + 2*m**3)*(m**2 + m**2 + 0*m**2).\nAnswer: -m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.014 and 0.02874.\nAnswer: 0.00040236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h - 0*h + 66. Suppose 3*k = -s + 295, 8*k - h*k = -3*s + 849. Calculate the remainder when s is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7\/19 + -74\/57. What is the closest to -0.1 in s, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16400)\/(-60))\/(-41)*(-36)\/15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of 2\/3*s**3 + 0*s**2 + 0*s - 6. Let t(x) be the first derivative of -2*x**2 + 1. What is m(t(u))?\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 27.8, -5, -0.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 13*c - c. Solve 0 = -2*k + 2*u + 9 + 3, 4*u = -c*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -2, -1\/7, -1570584, -2\/7 in decreasing order.\nAnswer: 0.4, -1\/7, -2\/7, -2, -1570584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*w**4 - 12*w**2 + 250*w + 4?\nAnswer: 60*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 37*q**2 - 12*q + 41. Let l be 6\/(-8)*(-640)\/96. List the prime factors of j(l).\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -34, -14, 4, 20, 34?\n\"Answer: -r**2 + 23*r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 870481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 - -2. Find the third derivative of -20*a**3 + 7*a**l + 7*a**3 + 12*a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30 - ((-10 - -22) + -27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -585760 - -6902003\/12. Let t = v + 10585. What is the common denominator of -1*((-262)\/(-16) - 4) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-5*k + 4*k + 3*k)*(2 - 5 + 7) + 0*k - 3*k + k)*(562*k**2 + 228 - 77 - 71 - 80) to a*k**2 + s + o*k**3 + j*k and give o.\nAnswer: 3372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 84 divide 170123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of q**4\/3 + q**3\/3 - q**2. Differentiate r(m) wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -3*l - 61, -12*a - 21 = -13*a + 5*l. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 27.87162l to millilitres.\nAnswer: 27871.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 5*d + 4*p - 3, -2*d = -5*p - 32. Let q be (744\/(-16))\/(d\/4000). What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-189)\/(-7))\/((-6)\/(-4)). Suppose -4*m + 24 = 4*v, 2*m + 2*v - f = -2*v. Solve 0*p = m*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4, 2\/9, 10\/11, 1\/3, 7 in decreasing order.\nAnswer: 7, 5, 4, 10\/11, 1\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 397\/23560 - 11\/380. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 1903542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 2*d**3 + d**2 - d + 107. Determine x(0).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1390123, 2780194, 4170207, 5560156, 6950035, 8339838, 9729559?\nAnswer: 11119192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 146, -213539 in ascending order.\nAnswer: -213539, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -3*a. Let u(i) = -3*i. Let l be (-2)\/16 - 8710\/208. Let f = l - -39. Give f*u(c) + 4*s(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7336580*k + 16217339 wrt k.\nAnswer: 7336580","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: ((-2)\/2)\/((-1)\/392*-49)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 116187 + -51238534\/441. What is the common denominator of -59\/63 and u?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18598 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000480097 to 7 dps.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:34 PM and 10:14 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10185.\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1872451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -198*g. Let u(z) = 137703*z**2. Calculate u(a(r)).\nAnswer: 5398508412*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/(-3) - ((-76)\/6 + 12). Let h(f) be the first derivative of 2 + 9\/5*f**2 - 18\/5*f**3 + 4\/5*f - 486\/25*f**5 - 189\/10*f**b. Factor h(m).\nAnswer: -2*(3*m + 1)**3*(9*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + 2 + -3 - -3. List the prime factors of r + 2 - -1 - (-312)\/2.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 637 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -c**4 - 2173*c**2*k**3 + 2*c**2 + 7*c*k**3 - 520 wrt c.\nAnswer: -12*c**2 - 4346*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the first derivative of 8*z**3\/3 - 19*z**2\/2 + 2*z + 8. Let o(f) be the first derivative of w(f). What is the first derivative of o(i) wrt i?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.09, -0.04, 2\/14605, -1\/8, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13 less than 0.15237?\nAnswer: -12.84763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 + 8*s - 10. Let y be l(5). Suppose -5*h + 129 = -4*p, p - y = -1. Let b(j) = j**2 - j + 6. Calculate the remainder when h is divided by b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 103.4 + -103. Which is the second smallest value? (a) k (b) -2 (c) -4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0262516 rounded to four dps?\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -3*k + 101. Let b be h(27). What is the highest common factor of b and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.22 and -2577243910501?\nAnswer: 2577243910502.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b. Let s(q) = 2*q**2 - 2*q + 1. Let d = 6 + -4. Let g be s(d). Let v(u) = 2*u. Determine g*v(i) - 8*l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.618 + -0.382. Let p = 0.13 - 0.06. Let d = 129 - 129.4. Which is the closest to 0.1? (a) p (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -833\/5 (b) 1\/2 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 148199*n**2*q - 28*n**2 + 4*n*q + 427*q - 26750 with respect to n.\nAnswer: 296398*n*q - 56*n + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.2 + -1.3. Let u = -14.8 + 15. Let z = 0 - 2. Which is the nearest to u? (a) -0.3 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 6136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 215897611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*(i*i**(1\/34))\/i))\/i*i\/(i*i**(25\/3)*i))\/(i\/i**(7\/4)*i)**2 assuming i is positive.\nAnswer: i**(-554\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -25.5447*0.05\nAnswer: -1.277235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 7*f + 52. Let u be l(-7). What is the derivative of 7 + 11*c**u + 6 + c**3 - 2 wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -0.1, 13, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -801\/5, -76, 0, 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26104721.\nAnswer: 37, 705533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 5*g = 4*r - 1264118, r + 2*g = 421371. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/5, 5\/4, -58, 21, -1\/60?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192197.\nAnswer: 71, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 AM and 12:30 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 - -12. Suppose l*y - 5*p + 0*p - 15 = 0, 0 = 5*y - p - 11. Solve 4*o = -14 + y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 2*y + 5*t, 11*y - 6*y = t - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 543*a - 307*a + 1132*a.\nAnswer: 1368*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 9:27 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2 - 1314*x + 31984488.\nAnswer: -2*(x - 3684)*(x + 4341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + 0.5. Let t = -55.1 - -55. Sort t, q, -5 in descending order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -5*k - 9, 4*k - 2 = -10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46045?\nAnswer: 5, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 48346151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*q = 13*q - 30. Let n = 39 + q. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 5*y + y + 2 = 0, 0 = -5*u + 5*y + 35. Suppose u = 5*w + 1. Let s(x) = -2*x**2 - x + 3. Let f(o) = -11 - 6 - 2 + 18. What is w*s(n) + 2*f(n)?\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 45778112 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let r be (7\/(-3))\/((-8)\/(-6)). Let d = -169.8 - -174.8. What is the third smallest value in d, 0, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -15 by 2889.\nAnswer: -5\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be 105\/(-30)*(-40)\/14. Let x(f) = a*f - 18*f + 8*f + 6*f**2. Let b(s) = -2*s. Give b(x(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/p**(9\/4)))**(1\/35)*p**2\/((p\/((p\/p**(-8))\/p))\/p) assuming p is positive.\nAnswer: p**(1409\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4014?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-7)\/(-70)*10*13\/(1638\/14)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1044 and 522.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 258746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 34 + 14 + (-10 + 37 - 39)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -3*d - 9. Let a be y(-4). Solve -a*x + 6*x + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/2622 and 8\/1311.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -95 - -87 - (2 + -18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 266 and 665.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 9 = 3*t + 3*b, -t - b - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -5*k. Let u(j) = -j. Let z(p) = 2*p. Let w(q) = -4*u(q) - 3*z(q). Give x(w(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 8*u + 7 = 0, 5*u + 5*u = 13*u + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 16*v**3 - 139*v**2 - 127*v + 285. Let f(q) = 52*q**3 - 416*q**2 - 380*q + 856. Let a(w) = -5*f(w) + 16*p(w). Suppose a(x) = 0. Calculate x.\nAnswer: -35, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33639 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10*a**4 - 60980*a**3 - 1295397*a.\nAnswer: 120*a**2 - 365880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2 + sqrt(475) + 2.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8293\/2156 - -174\/49. Let s = q - -6\/11. Let v(j) = 16*j + 2384. Let m be v(-149). Is m bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -1517*i**2 - 3 - 5 + 1531*i**2 + 1 + 3. Let j(w) = -47*w**2. Calculate j(v(p)).\nAnswer: -9212*p**4 + 5264*p**2 - 752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -308, -9\/4, -1, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -2 - (-7 - -5) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22483 is divided by 1418?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 2*n**2 - n - 2*n**2 + 2 - 3 - n**2. Let y(q) = -2*q**2 + q - 2. Let h = 436 + -469. Let l = -32 - h. What is l*y(f) - b(f)?\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yuygaapyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((((d*d**(2\/11)*d)\/d)\/d)\/d)\/d**(2\/15))\/(d**0*d**0))**(-47))**(-14) assuming d is positive.\nAnswer: d**(-103306\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -4137, -8464, -12813, -17184, -21577?\n\"Answer: -11*c**2 - 4294*c + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 3*i + 4*i + 92 = 0, 4*m + 3*i = 127. Suppose -2*u + 5 = r - 7, 5*u - m = -3*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nvnn when four letters picked without replacement from {f: 4, v: 8, n: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -7142, 61.98, 2, -0.3?\nAnswer: 61.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -138 - ((77 + -41 - 61) + (2 - 1))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 + 22*x**2 + 2*x + 43. Let v be y(-22). Sort -3, 0, -13, v.\nAnswer: -13, -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 201 + 72 = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68409 - 20821 = -10*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2 - 17049*k + 17046.\nAnswer: 3*(k - 5682)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 3335130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 2*u**3 - 282*u + 3. Let g(s) = -4*s**3 + 563*s - 5. Calculate 3*g(v) + 5*l(v).\nAnswer: -2*v**3 + 279*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -3792*v - 60666. What is o(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -94*h - 72*h + 23*h = -10071 - 5230 for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 34 - 8. Find the third derivative of -22*k - k**5 + 37*k - x*k**2 - 15*k wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 = 112*j - 253 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -192*b - 55. What is the units digit of s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.0549 + 0.045. Round j to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -57262087 + 57261552.00534. Let x = k + 535. Round x to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -513.7 + -83.3. Let m = x + 597.0001921. Round m to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1860 divided by -6108\nAnswer: 155\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -60 + 2*p**4 + 4*p**2 - 2*p**2 + 63 + (p + 2*p - 7*p)*(-2*p**3 + 2*p - 2*p) as m + y*p**2 + o*p**4 + g*p + i*p**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + -5. Suppose 2*y + 5 = -a, 4*y + 2*a = g*y - 7. Let t = -0.061 - -4.061. What is the closest to 0 in 0.4, t, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19559*g - 14799*g + 3851*g.\nAnswer: -30507*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 308538.7ml to litres.\nAnswer: 308.5387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -6*u - 4. Let w(k) = 11*k + 7. Suppose 4*h - 8 = 6*h. Let z(j) = h*w(j) - 7*a(j). Let s(c) = c**2 - 3*c. Give 2*s(t) - 3*z(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f - f + 5. Let j(o) = 13*o. Is j(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 AM and 3:45 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 283060022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7411 + 2297407\/310. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/203 and 107\/7656?\nAnswer: 53592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/2 + ((-54)\/12 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = b + 26, -15*b + 14*b - 16 = 2*z. Let s(f) = f**3 + 19*f**2 - 18*f + 26. Calculate s(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/15 and (-29)\/22*(-255)\/612?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1331) - -3*2*sqrt(1331)) + ((-2 + sqrt(1331))*4)**2.\nAnswer: -627*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1564 is divided by 427?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h - 40 = -20*h, 2*h = 7*x + 2. Solve -4*j + 2 = -2*q, -x*j + 282 = -2*q + 280 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 at most as big as 738426632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-14)\/(-9) + -29 + (-11925)\/(-405). Suppose -3*f = -f - 4. Solve -f*l = -4*c + t*l, -c - 2*l = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63*(-70)\/(-8820)*2\/20*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/165008 and 145\/61878?\nAnswer: 495024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 152*m**2 + 7*m**3 - 311*m**2 + 159*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-15)\/(-4) + (-1)\/(-4). Suppose -l - u + 6 = 0, 5*u - 8 = -2*l + d*u. Suppose l*o - 22 = -v, -4*o + 11 + 23 = -3*v. Solve 5*h + o = -0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 AM and 1:44 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-3)\/x**(-5)*x**4*x**(4\/3)*(x\/(x\/x**(-2\/3)))**(-31\/3)\/(x**(1\/5)\/x*x*x*x**0) assuming x is positive.\nAnswer: x**(586\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of i**5 - 128308*i**4 + 2*i**2 - 16199923*i?\nAnswer: 20*i**3 - 1539696*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-11))**10\/(j**(-2\/33)*(j*j\/((j\/j**(-24))\/j*j))\/j*j))**17 assuming j is positive.\nAnswer: j**(-48773\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1405207 or 1405204?\nAnswer: 1405204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2 (b) 77 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to 8\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: ((-340)\/595)\/((5\/(-105))\/((-4)\/264))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 6854 - -4?\nAnswer: 6858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10908915?\nAnswer: 3, 5, 727261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3, 34, -5, 9544, -2 in decreasing order.\nAnswer: 9544, 34, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 24 + -8 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 596.1 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -2*t**2. Let y(k) = 25*k - 23. Let n(b) = -23*b + 20. Suppose 25*i - 6 = 24*i. Let h(g) = i*y(g) + 7*n(g). Give h(s(c)).\nAnswer: 22*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y - 1. Let s(g) = 11*g + 12. Let c(h) = -18*n(h) - 2*s(h). Is c(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from ekeejejjekjekk.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -12\/283 in -2\/7, 26\/23, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 822 and 12?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -3*s + 4. Let r = -975 - -974. Let d be (r\/s*2)\/(-1). Which is the nearest to 1? (a) d (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sussusessossex. Give prob of sequence xe.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3018*u - 53232 - 57592 = -940*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 647955 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 1 - 19 = -2*d, 2*d - 3*i - 30 = 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -955*x + 75341 = 648*x for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -k**2\/3 - 12874*k\/3 + 477707\/3 = 0.\nAnswer: -12911, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + -13. Suppose 0 = 4*b - f - 3, 5*f = -5*b + f + 30. Let k be (-1)\/b*(-8)\/(-78). What is the biggest value in k, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z**3 + 2*z**3 - 3*z**3 + (3*z**2 - 3*z**2 - 3*z**2)*(-5 + 5 - z) - 9*z**2 + 9*z**2 + 4*z**3 in the form a*z + v*z**2 + q + t*z**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -40*z**3 + 13*z**2 + 11. Let q(x) = 20*x**3 - 7*x**2 - 6. Let m(v) = 6*p(v) + 11*q(v). What is the third derivative of m(u) wrt u?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 35\/827027?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from ueuxuhzuhvuexue?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (159 - 89 + 136 + 5)*(-7*f**2 - 4*f**2 + 5*f**2).\nAnswer: -1266*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 43 = f - 5*w, -4*f - 658*w + 44 = -662*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * 8.3\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/15 of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 730595?\nAnswer: 5, 23, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z - 11. Let u be o(-9). What is the units digit of (-8)\/u*60\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 13*v + 26. Let b(w) = 15*w + 25. Let l(y) = 3*b(y) - 4*o(y). Let g be l(-4). Do g and -1\/118 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 50*h**5*k + 167*h**5 - 17*h**3 + h**2*k + 8*h**2 - h*k - 67*h + 5*k wrt h.\nAnswer: 3000*h**2*k + 10020*h**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-12)\/(-20)*2438 + 24\/(-30)?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -33*s**3*t**2 + 32*s**3 + t - 2 wrt t.\nAnswer: -66*s**3*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q - 9*q = 408. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(5\/20*3). What is the first derivative of -5 + c**3 + 8 - 6*c**3 - r wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1236 is divided by 1207?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 557, 546, 521, 476, 405?\n\"Answer: -h**3 - h**2 - h + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/165)\/4*52\/5616*-30?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 + (6 - (3 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 121\/2168190 and -13\/141.\nAnswer: 101904930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 40 = 7*a. Suppose -c + a = -g + 4, 2*g = -4*c + 12. Suppose -c*u = -u - 27. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/16*(-1272)\/(-9699).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1216) + sqrt(1216) + 0 + -3 + (sqrt(1216) + 1 - sqrt(1216))*6 + 0 - (2 + (-4 + sqrt(1216) + 1)**2*5)).\nAnswer: -6124 + 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 2*n**3 - 7090*n**2 + 6249972*n = 0.\nAnswer: 0, 1643, 1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002551375 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 756 and 792.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) 1 (b) -0.5 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2023132301 + 3?\nAnswer: -2023132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -5*k**3 + 6*k**2 + 17*k + 6. Let g = 17072 + -17066. Let r(u) = 9*u**3 - 11*u**2 - 33*u - 11. Give g*r(y) + 11*a(y).\nAnswer: -y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c + 2. Let i be l(4). Let a be 3 - (-2*1)\/i. Suppose -a*p = 5*q - 54, 7*q - 4*q = 0. Solve 4*s + 4*y = -1 - p, -5 = y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.55 less than -483044?\nAnswer: -483044.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -42*i**3 - 2*i**2 - i. Suppose -z + 4 = 0, 4*a - 2*z = -0*z - 12. What is the tens digit of c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 25*a - 176. What is p(10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 4*l + 5*r - 45, -3*l + 2*r + 52 = 0. Let t be 5\/25 + l\/5. Find the third derivative of -3*g**5 + 3*g + 0*g - t*g - 2*g**2 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:41 PM and 3:00 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -42\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z + 4*f - 4, f = -3*z - z + 1. Suppose 0 = x, z = -k + 5*k - 4*x - 32. Calculate the highest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 29 and -48298.27487.\nAnswer: -48269.27487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: What is 15581000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -192\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -258 + 258.000201. What is u rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1742, 1740, 1736, 1730, 1722, 1712?\n\"Answer: -q**2 + q + 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*p = -3*i + 347, -2*i = -5*p - 253. Suppose 4*t + i = 346. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 67035 is divided by 85?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 504 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5296 is divided by 139.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1386, -5528, -12428, -22086, -34502?\nAnswer: -49676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -119, -1221, -2987, -5363, -8295, -11729, -15611, -19887?\nAnswer: -24503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14175350 is divided by 4838.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*y + 77 + 1332 + 2026 = 0. Calculate the remainder when 1090 is divided by y.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -123 - -1471\/12. Calculate the common denominator of c and 9581\/402 - 4\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 2*i + 11. Let u(s) = -5*s - 23. Let w(j) = -9*p(j) - 4*u(j). Let r be (-8)\/4 + (0 - -8). List the prime factors of w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44 - (21 - -1587)\/24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65797 is divided by 2199.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.474 to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -3*x + 142 + 45, 5*z = -x + 435. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (32\/(-64))\/((-1)\/(574\/(-4025))). Is 2\/5 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/(-15)*(-2 + -5*(-3)\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 40412561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n + n + 0*n - 7 + 0*n. Calculate v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15075 divided by -3015.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -86, 22, 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 + -18. Let s(b) = -34*b + 49. Let f be s(15). Let t = -331 - f. Calculate the remainder when t is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tulupplltptult. Give prob of sequence plpl.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/264*11 + 22780\/15. Calculate the highest common factor of 31 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2 (b) -266 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 48 divided by -16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19\/5 + 67\/15. Factor 0 + 0*q - r*q**3 - 4\/3*q**2.\nAnswer: -2*q**2*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*g + 19 = 3. Let c be (-11)\/88*(-40)\/g. Factor 0 + 0*j + 2\/17*j**2 - 2\/17*j**4 + 2\/17*j**c - 2\/17*j**3.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1702077565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 641112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w + 1957 = 5*j - 851, 8 = -4*w. Calculate the highest common factor of 630 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-3)*(15 - 12)*-8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 + (1 - 3))\/1. Let t be 2 + -3 - b - 2. Let f(d) = -4*d - 4. Let h(q) = -9*q - 9. Let c(o) = 5*f(o) - 2*h(o). What is c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7.2*1.4\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 141165267 a multiple of 4026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the second derivative of z**5\/20 + 7*z**4\/12 - z**3 + 19*z**2\/2 + 34*z. Let k be x(-8). Solve -11 = -4*c - k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 563268 and 1967934.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 0)*(3 + 1 - 1)*(7 + 3*j - 7).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 342 - 709 + 367 - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 82 a factor of 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (267*p**2 - 2103*p + 2103*p)*(-p + 4*p - p) as w*p + q + z*p**2 + n*p**3 and give n.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.14 and 0.135.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p + 4. Let r be a(-6). Suppose 3 - 4 = d. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 218275 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 295 a factor of 6021178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 4*i = 10. Let z = 39\/25 - 1001\/225. Let u = -28\/9 - z. Put i, -1\/7, u in decreasing order.\nAnswer: i, -1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 4*a. Let l be (a + 3\/6)*2. What is the tens digit of ((0 - 3) + 25)*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bnpp when four letters picked without replacement from {b: 1, j: 1, q: 1, z: 1, p: 2, n: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**3\/3 + 4100*o**2\/3 + 4102*o\/3 = 0.\nAnswer: -1, 0, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2023785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12847587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 767417166 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 310607\/18 + -17262. Calculate the common denominator of (-2)\/(-4) + (-748)\/168 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 218 = 226 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*p = -40, -74*p + 73*p = 4*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4 >= -0.221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/9 in 2\/15, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1844 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: What is the value of (-24 + -9 - 7 - -31) + 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-756)\/(-140) - 6\/(-10) - -197. Calculate the highest common factor of o and 174.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1053 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j + 221 - 233 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4759200678 to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 363, 1427, 3195, 5667, 8843, 12723?\n\"Answer: 352*n**2 + 8*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (19\/285)\/((-2)\/5*55\/(-132))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -15, 0, 2, 270, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -2*j + 22. What are the prime factors of b(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 255591, 255591, 255601, 255627, 255675, 255751, 255861, 256011?\nAnswer: 256207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 4 + (2644479\/63 - 9 - (-12)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9141 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50034617?\nAnswer: 179, 279523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10.3 - -10.1. What is the closest to 0 in 3, s, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 530 = 5*s, -2*n + 757 - 232 = 5*s. List the prime factors of s.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 251 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 5*sqrt(3888)*-3 + -2*sqrt(3888)*3 + -1)**2.\nAnswer: -4536*sqrt(3) + 1714617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 11:24 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 49 = 63. Calculate the greatest common divisor of 112 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 71*d**2. Let q(t) be the third derivative of t**4\/24 + 40*t**3\/3 - 710*t**2. What is q(l(c))?\nAnswer: 71*c**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 105 + 2. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15458 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be 14\/35 - (-88)\/5. Let n = c + -14. Let h(o) = -9*o + 16. Let u be h(2). Sort n, -1, u, 3 in decreasing order.\nAnswer: n, 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 232985749 to the nearest integer?\nAnswer: 15264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -57.1799564 take away -2?\nAnswer: -55.1799564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.855 - 1086.445. Round w to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 3*g - 2. Let m be v(5). Let r be ((-2)\/(-6))\/((-4)\/m). Let u = 18 - 19. Is r != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.78 + 4.88. What is the third smallest value in -0.5, -0.42, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 312 (base 4) to base 8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -140, -303, -482, -683, -912?\n\"Answer: -v**3 - 2*v**2 - 150*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/462278 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 - (3 + -5) - -1. Suppose a - 4 = 4*f, -a - c*a + 12 = f. Suppose f*k - k + 11 = 3*x, 5*x + 10 = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1863*x**5 - 863*x**4 - 14*x**3 + 3*x**2 - 48653790*x.\nAnswer: -111780*x**2 - 20712*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 3*y**3 + 6*y**2 + y - 62. Let r(f) = -13*f**3 - 26*f**2 - 5*f + 249. Let k(d) = -9*l(d) - 2*r(d). Let t be k(0). Solve 7*p + 8*p = -t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 373*d**2 - 122*d**2 - 124*d**2 - 128*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-3*sqrt(45) - (sqrt(405)*-1 + sqrt(405))) + ((sqrt(500) + 0)**2 - sqrt(5)) + 5 + sqrt(5) + sqrt(10)\/sqrt(2) + sqrt(5) + -2.\nAnswer: -52*sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 67888*i**3 - 38*i**2 - i + 485 wrt i?\nAnswer: 407328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*u - 11*u + 12*o = 11*o + 81, -5*o = 198*u + 4173 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9.56 - -488.44. Let t = 497.999993 - q. What is t rounded to 7 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v\/(v\/(v\/(v\/(v*v\/v**(-8)*v))*v))))\/v**12)**(-42))**7 assuming v is positive.\nAnswer: v**6762","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*(k*((k*k**(-8\/7))\/k)\/k*k)\/k)\/(k*k*(k**(-13\/2)\/k)\/k*k*k) assuming k is positive.\nAnswer: k**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 131 = 3*s + 134 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q + 4. Let w be d(-5). Let r be 2\/w + 28\/(-7). Let p = 6.06 - 5.96. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 2*w**2 - 4 + 10*w + 4. Let h be f(-9). Suppose y = -y + h. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-5)\/2*(-4 + 2). Suppose 13 = -2*s + 3*j - 0, d*s - 5*j + 20 = 0. Solve t - s = 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 times -0.4\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12681837 - 3*t**2 + 6340919 - 4*t**2 + 6340918.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25 or -2996\/127?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 2:39 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -44 - -44. Let l be (1 - s)\/((-78)\/(-15) - 5). Let d(r) = 2*r - 4. Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in seventy-one fifths of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/(-6) + 42\/4. Let r(m) = 2*m - 7. Let f be r(y). Let l = f + -8. Solve k - 4*q + 6 = 2*k, l*k - 9 = q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ssssffffffffsf.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -54477 - -79348. Suppose -6*f + p = 11*f. Is 70 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-1)*((-2610)\/(-144))\/((-50)\/(-120)*3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -117 (b) -20\/11 (c) 0.03 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (2 + -3 - 1)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -m**5\/30 - 20*m**4\/9 + 41*m**3\/9 + 4*m + 67. Determine j, given that y(j) = 0.\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.2 and -18380600.\nAnswer: -18380600.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**3 - 8*w**2 + 2*w + 4. Let n(s) = s**3 + 8*s**2 - s - 5. Let p(g) = 5*n(g) + 6*u(g). Is p(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -372, -701, -1032, -1365, -1700, -2037, -2376?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - -7d?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u - 2 + 2)*(2*u**2 + 0*u + 0*u) + (4*u + 9*u + 0*u)*(-6*u**2 + 9 - 9).\nAnswer: -82*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 4*s - 5. Suppose 0 = w + s - 7. Solve -l + 10 = -3*l + a, 2*l + 16 = w*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - z + 2535 = 0, r - 4*r + 1910 = -z. Suppose 5*c - r = -0*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 8:32 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -390 + 387. Let g = -4.1 + 4. Put -0.3, -1, g, t in descending order.\nAnswer: g, -0.3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllbtpkltptpppbpp. What is prob of picking 1 t and 1 b?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of 2*v**3 - 8774. Let f(k) be the third derivative of k**4\/4 - k**2. Give f(z(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 82 + -121. Let v = 38 + w. Let i = -10 + 18. Put i, -0.2, v in descending order.\nAnswer: i, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-2\/7)\/q)**(-3\/19)*q**(-3)*q**5)**(6\/11) assuming q is positive.\nAnswer: q**(1758\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 3*g = -94, 25*z + 64*g - 190 = 33*g + 34*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2782)\/(-18) + 44\/99. Suppose 12*d - x = 121. Is d < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (30\/(-20))\/((-2)\/(-12)). Let l(y) = 4*y**3 + 17*y**2 - 5*y + 9. Let d(h) = -h**3 - 4*h**2 + h - 2. Determine x*d(c) - 2*l(c).\nAnswer: c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2181 - 2177. Solve 0 = 4*p - w - 24, -4*p - j*w - 21 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 4 - 8*o**2 + 5 - 3 + 6*o. Let n(f) = 4 + 1 + 2 + f**2 + 7*f - 10*f**2. Give -7*i(m) + 6*n(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*t - 8 + 8 + (-2 - 5 - 15)*(2*t + 3 - 3) + 0 + 0 + 2*t.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = l + 229, 104 = m - 4*l - 119. What is the greatest common factor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -2\/9 (b) -5 (c) 0.1 (d) -2125 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1099, 4646, 10643, 19090?\n\"Answer: 1225*i**2 - 128*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -41079, -328657, -1109239, -2629329, -5135431, -8874049, -14091687?\nAnswer: -21034849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 7615 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 19459 divided by -61\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*f + 11 + 9. Let a(z) = 20*z**2 + 29*z**2 - 28*z**2 + 8*z**f. Let u(v) = v. Determine a(u(m)).\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -22, -16, -6, 8?\n\"Answer: 2*i**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 23 - 8. Calculate the greatest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 1 + sqrt(3))**2 + (sqrt(432)*2)**2.\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13975*l + 14958*l - 28753 - 65615 for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*2 - (3 - 10 - -4). Suppose -i*w - b - 19 = -8*w, -2*w + 40 = -3*b. What is the highest common factor of 68 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 127 + 0 = -3*v, -v - 65 = -3*d. Suppose -m + 0*t + d = -3*t, 0 = -3*m + 4*t + 54. Let a = m - 11. Solve -c = -a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*s**5 + 2*s**4 - 41*s**2 - s wrt s?\nAnswer: -180*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(243)*2)**2 - ((sqrt(243) - (1*sqrt(243)*-4 - sqrt(243)) - sqrt(243))**2 - sqrt(243))) + -5*(sqrt(243) + -2) + 2 + -2.\nAnswer: -5091 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9479\/13 - -729. Which is the fourth biggest value? (a) -0.04 (b) y (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 12 = -q, -4*s - 1 = 5*q - 28. Let j = q + -3. Suppose j = -h + y + 118, 114 = h - y - 4*y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -64*v - 243*v - 2470 - 1214 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -213*d - 13. Let p(m) = -1623*m + 10. Give y(p(k)).\nAnswer: 345699*k - 2143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001261005 rounded to 7 dps?\nAnswer: -0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-1 - -2) - -3. What is the third smallest value in 1\/2, -0.3, -11, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.31562204 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 1675 divide 4763700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4148*v - 244 - 271 + 515 to the form s*v + i and give s.\nAnswer: -4148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**2\/9 + 86*w\/3 + 524\/9 = 0. What is w?\nAnswer: -2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = a - 2, 2*c + 4*a + 6 = 7*a. Suppose -3*v = t - 1, -9 = -2*t - c*v + v. Suppose t*p + 0*p - 192 = 0. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85650537 divided by -21?\nAnswer: -4078597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -5*i - 7 + 23, -2*i + 16 = 2*t. Find the third derivative of 2 + 186*w**2 - 115*w**t - 4 + 2 wrt w.\nAnswer: -2760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 937865553 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -4. Let k = -5425\/11 - -493. Which is the second biggest value? (a) -0.4 (b) k (c) j (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**3 - 3*t**3 + 0*t**3)*(-111 + 111 + 73*t) + 18*t**4 + t**3 + 0*t - 19*t**4 - 5*t.\nAnswer: -74*t**4 + t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 376833 is divided by 5461.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r**3 + r**2 + r. Let h(w) = 21*w**3 - 2*w**2 + w + 247. Let b = 712 - 710. Let j(o) = b*u(o) + h(o). What is the first derivative of j(d) wrt d?\nAnswer: 51*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1*2\/(-3)*9. Let q be ((-26)\/u)\/((-4)\/12). Suppose 0 = -17*l + q*l + 64. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 473, 1187, 2203, 3521?\n\"Answer: 151*o**2 + 261*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3703050 or 3703048?\nAnswer: 3703048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -64, -44, -6, 56, 148, 276, 446?\n\"Answer: s**3 + 3*s**2 + 4*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 PM and 6:54 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 - -10. Let c = b + -6. Let v be 0 + -1 + c\/(-1). Solve 5*k + 23 = v*f, 8*k - 3*k + 11 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (16\/(-5))\/((-6)\/105) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lggllnfflfbplfnlb. Give prob of sequence gf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h**(-1\/5))**(-5))**(-4\/7))**(-9\/7))**(-2\/109) assuming h is positive.\nAnswer: h**(-72\/5341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 99536036 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31 + (-32 - -18) + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**6)\/i**(2\/3))**23*((i*i**(-2\/7)\/i*i)\/i)\/(i*i\/(i**(-4)*i*i))*(i**1)**(-5) assuming i is positive.\nAnswer: i**(2864\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 1619*i - 2627. Let y be r(7). Are 8705 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-25)\/10 + 3)*6. Let b be (-2)\/(-5)*(4 - h\/(-3)). Solve -x = b + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13806 and 65935155.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 849113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1.72921506 to four dps.\nAnswer: -1.7292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1934865247 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3646, 5, -1, 3, -9.\nAnswer: -3646, -9, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1379 and 9259?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*b - 43*b + 92*b - 59*b**3.\nAnswer: -59*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -4\/7, -0.78, -4, 0.01, 9, -0.028, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 - 14. Which is the fourth smallest value? (a) -5 (b) -2\/19 (c) 3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-27807)\/(-585) + -49)\/((-1)\/(-3)*2).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (38\/1)\/(4\/(-96)*-6). Let q(k) = 10 + s*k**2 - 4*k**3 - k + 3*k**3 - 151*k**2. What is q(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 200 and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 93343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 995, 993, 991, 989, 987?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1842046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3*(1\/6)\/((-6)\/384). Let i be (-2 - 28\/(-10))*10. Calculate the highest common divisor of i and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -11, 6, -132678, 5, 4.\nAnswer: -132678, -11, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(52)*-3*5)**2.\nAnswer: 11702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 12220 (base 4) to base 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1253 plus 5111.54?\nAnswer: 3858.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 75 - 19. Let l = 21 - p. What is the common denominator of l\/28*89\/5 and 39\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 171 (b) 4\/29 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -28 - (20 + -35) - (2 + -29 + 2 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 15 - -58?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 10 = 4*d, 4 = 2*n + 4*d - 0. Suppose 0 = m + n*m - 117. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8431 - 8429.6417. Let l = j - 0.0583. Which is the smallest value? (a) 3 (b) 1\/17 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 - 38) + 5 - -1 - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*o = 540 + 125. What is the highest common factor of o and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -3*q**2 + 27*q - 16. Give u(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1949641 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 93 in 5, -5, 2\/253?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 22.37 times -0.04\nAnswer: -0.8948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -n + 5*b, 5*n - 5*b = 9*n + 17. Suppose 4*y - m - n*m - 132 = 0, y + 5*m - 56 = 0. Calculate the greatest common factor of y and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*r**3 + 5*r**5 + 15*r**4 + 9*r**2 - 24 + 6*r + 12*r**2 + 24 - 2*r**5 = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - 19 = -6*i - 3, -4*w + 33 = 3*i + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 64545311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tuutuutttutttpttu. Give prob of picking 1 u and 1 t.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 19661279 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 6, s: 13}. What is prob of sequence bsss?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -1040*a + 44194 + 37966 = 0 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 403 - 13443?\nAnswer: -13040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h - 62268 + 62268 - 4*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 287263 or 1149049\/4?\nAnswer: 287263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -752841.72 rounded to the nearest one thousand?\nAnswer: -753000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = -14*w + 8. Let h be w\/4 + 15\/(-54). Suppose 6*m - 5*m - 1 = 0. What is the closest to m in h, 0, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, w: 4, f: 1, c: 2, v: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -5383890 by 358926.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 199 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(5) + 0 + sqrt(5) + sqrt(5) + -3 + 4)**2.\nAnswer: 12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 13*s + s - s as h + b*s and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -485 + 3?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(133) + (sqrt(133) - 5*sqrt(133)*-2))\/(-2*sqrt(252) - sqrt(252) - sqrt(252)))*3.\nAnswer: -3*sqrt(19)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -0.108975.\nAnswer: 0.0544875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42572553.\nAnswer: 3, 47, 301933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1718133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -6*m + 0*m + 6*m + 10*m**2 in the form g*m**2 + x + w*m and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2 - 25*x + 88. Let v be b(5). Let s be (-4)\/(16\/v)*10\/6. Let g(t) = 7*t + 4. Let u be g(3). Solve -2*n - 3*n - 17 = -i, -s*n - u = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 + 49*p**2 - 83*p - 1827. Calculate z(-50).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-46)\/(-253) - 206\/44*-10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzxvvzvvxvvvkzvzl. What is prob of picking 1 z and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -8013+415649505.2\nAnswer: 415641492.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 12, 3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of -f**5\/10 + 13*f**4\/6 - 35*f**3\/3 - 49*f**2 - 48*f - 2. Solve m(b) = 0 for b.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 6*m**2 - 3*m + 3. What is n(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.382 + 1.34. Let w = x - -3.042. What is the third smallest value in -5, 32, w?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15 + 1\/((-3)\/(-1021674)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -153, -1419, -3529, -6483, -10281, -14923, -20409?\n\"Answer: -422*i**2 + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.6 in -13, -2\/3377, 0.03?\nAnswer: -2\/3377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {r: 1, e: 2, d: 7, s: 1, v: 2, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -15\/49 - -383\/931. Let x = d - -11\/76. Solve -2*n**2 + x - 1\/2*n**3 - 1\/2*n + n**5 + 7\/4*n**4 = 0 for n.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8 - 1. Let b be (n\/3)\/(6\/4). Suppose -4*p = m - 6 + 20, 3*p = -3. Put -1, m, b in ascending order.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 44*u**2 - 13*u**2 + 17*u**2 - 3*u**4 - 45*u**3 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*v + 4*v**2 - 2*v**2 + 1 - 13*v in the form x*v + l*v**2 + b and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are -32338 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-14)\/j**(-2\/3)*(j**(-28)*j*j)**(4\/5))**(-4\/9) assuming j is positive.\nAnswer: j**(2048\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -4*v**4 + 35198*v**3 - 77387188*v**2 - 193652802*v - 77475204 = 0. Calculate v.\nAnswer: -2, -1\/2, 4401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, c: 3, l: 6, x: 8}. Give prob of sequence lc.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - -699.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 2*o)*(2675*o**3 + 2 + 1044*o**3 - 579*o**3).\nAnswer: -6280*o**4 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(4\/7)\/q)**(2\/41)\/(q\/(q**(-4)\/q)*q*q\/q**11*q) assuming q is positive.\nAnswer: q**(582\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 47*z**5 + 556*z**4 + 32431*z + 11 wrt z?\nAnswer: 940*z**3 + 6672*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -6, -17, -28, -39, -50, -61?\n\"Answer: -11*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 136 + -75. What is w rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1932 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 5*h - 5*h + 0 - 10 + 13*h. Let l be f(10). Suppose 5*b + 2 = -2*u + u, -5*u + b + l = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + (-15 - -11) + 3 + 13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -4.76, 0.2, 3365, 1 in descending order.\nAnswer: 3365, 1, 0.2, -4.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6515243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u + 2 - 2 + (-u + u + u)*(1 - 2 - 1) - 4 + 4 + 4*u as i + t*u and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -2754*r + 86 + 5509*r - 2760*r as t + c*r and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -1037.52 to the nearest 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 87760\/3 + -28834. Let n be (-8 + 3)\/(6\/(-525)). Let d = n - b. Find the common denominator of 91\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.931 - -0.031. Let z = 3 + u. Is 7\/2 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/3)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -7*m**3 + 7*m**2 + 2*m + 4. Let c(b) = -7*b**3 + 7*b**2 + 3*b + 3. Let d(f) = 4*c(f) - 3*s(f). Let q(t) = -t**3 + t**2 + t. Give d(j) - 6*q(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:09 AM and 4:16 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 876760 and 10082740.\nAnswer: 20165480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -344 = -3*b + 43. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4837 (base 16) in base 2?\nAnswer: -100100000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v - 4*v + 136 = 0. Let x(c) = 30*c**2 + 17*c + 17. Let b(d) be the first derivative of 5*d**3\/3 + 3*d**2\/2 + 3*d - 9218. Calculate v*b(p) - 6*x(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 14.11548 times -8\nAnswer: -112.92384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 25. Suppose 71 = 3*a - 3*w + 23, -a + b = -3*w. Suppose -i + 5*i = -20, 120 = 5*c + 3*i. Calculate the remainder when c is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11736?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (((-189)\/4)\/(-7))\/((-6)\/(-16)) and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -29 + 182. Let h = b - 134. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 8 = 0, 3*m - q - 20 = -5*q. Suppose 0 = 206*k - 1987 - 485. Let i(v) = v. Let f be i(0). Solve m*a + 0 + k = f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = 5*p + 5, -5*f + p + 25 = -0*p. Let b(a) = -f - 1 + 7 + 1 - 28*a. What are the prime factors of b(-5)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2444)\/(-52) + (-22 - 0). Let k(w) = -2*w + 48. Calculate k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 588912 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-10\/9)\/(m\/m**(-6\/11)))\/((m\/((m**10*m*m)\/m))\/(m\/m**(6\/13))) assuming m is positive.\nAnswer: m**(10144\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 4*k - 33, 2*k - 5*k - 22 = 2*c. Let x(t) = t**3 + 11*t**2 + 7*t + 78. Let r be x(c). Solve 1 + r = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/(p**(-2\/9)\/p*p)*p*p**(-2\/33)*p**(-2\/11)*p*p*p**3\/p assuming p is positive.\nAnswer: p**(592\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 219348 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2470*o**2 + 41*o - 65. Is z(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32280887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.7 - 3.3. Let j = -3.41884 - -7.4188. Let c = j + w. What is c rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19347 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1005 + 1012. Let o(c) = 2*c**2 - 8*c - 2. Determine o(i).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m. Let q(b) = 11*b - 44*b + 23*b. Give i(q(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((6\/16)\/1)\/(-1). Let w = 71 + -5. Let j = w - 67. Which is the nearest to j? (a) 2\/3 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 219, 221, 223, 225, 227, 229?\n\"Answer: 2*y + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154146 is divided by 3581.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (326 - 100) + -52 + -128?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w + 12. Suppose 13 = 3*y + 4*o - 0*o, 0 = -y + 5*o - 2. Calculate the remainder when p(y) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 25.1, 31649, -1\/2, 3 in decreasing order.\nAnswer: 31649, 25.1, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*n**3 - 58*n + 81*n**3 + 239*n - 63*n - 118*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -3 + -0.2010445\nAnswer: -3.2010445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13041269 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, 0.3572, -10\/29 in descending order.\nAnswer: 3\/7, 0.3572, -10\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2455 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2665673*a**3 + 13752*a**2 + 53 wrt a.\nAnswer: 15994038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 - -839 - (5 - (-13 - -21)). Let w = c - 727. What are the prime factors of w?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of -y**7\/2520 + 7*y**6\/360 + y**5\/24 - y**4\/12 - 2*y. Let s(t) be the third derivative of i(t). Does 16 divide s(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -36*f**4 - 2140815*f**3 - 31826024769*f**2 + 29175833352*f + 2652332268 = 0.\nAnswer: -29734, -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do -670\/426141 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*l + 2*t + 10, -t = -l + 5*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t**(-3\/8)*t*t**(-3\/8)*t assuming t is positive.\nAnswer: t**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 17.89 * 0.74\nAnswer: 13.2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -132240, -132300, -132360, -132420?\n\"Answer: -60*v - 132180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 15 = -13. Let k = 14 + i. Let 1\/2*x**3 - x**2 + k + 1\/2*x = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 3 = -27. Let q = -5 + j. Suppose -10*h = 4*h - 28. Solve h = 3*k - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t**0*t)\/t)**(2\/111)\/(t**8*t*t**(1\/7)))**(-2))**(9\/2) assuming t is positive.\nAnswer: t**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + l - 1 = z, 5*z + 2*l - 23 = 0. Suppose 4*c - 41 = -5*f + 56, 0 = -2*f - 2*c + 38. What is the greatest common divisor of z and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1355 + -13332?\nAnswer: -15020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l = -25*l + 28. Let s(i) be the third derivative of i**5\/20 - i**4\/24 + 3*i**2. Let x be s(-1). Solve -l*v + 17 = 3*p, v + 1 = 2*v + x*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53 - 48 + 260 - 51 - 108 + 62*b.\nAnswer: 62*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 2:33 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 15*i + 80. Does 3 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141182 is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) + sqrt(153) + 4*(sqrt(153) + 2*sqrt(153) + sqrt(153)))\/(sqrt(576)*-1).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9.9 + -10.003. Let s = -5.103 - m. Which is the nearest to -2\/3? (a) s (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w - 2*w - 20. Let z(a) = a**3 - 23*a**2 + 15*a + 163. Let p be z(22). Put 0, p, 3, w in decreasing order.\nAnswer: p, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -108a65d - -3?\nAnswer: -108a65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2972.82 + 2945. Let q = 1.38 - k. Let d = 36 - q. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the third derivative of -7*v**4\/4 + v**3\/6 + 12*v**2. What are the prime factors of a(-1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 5*s - 293. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8228 and 154.\nAnswer: 57596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 - 6. Let m = -0.13 + 0.23. What is the closest to m in k, -5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7396003 is divided by 36078.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 162028 + 77432 - 82508 = -2191*v - 55575 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000564389 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-12))\/(4\/(56*-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2388188, -4776357, -7164526, -9552695, -11940864, -14329033?\n\"Answer: -2388169*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*a + 5*s - 55, 2*a = 5*s + 959 - 982 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/4*272\/340.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 382*c + 2588. Calculate s(-7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes after 4:54 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 714 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1939545 + 0.03?\nAnswer: 1939545.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 99.4 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 61*o - 331. What is r(4)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 40 + -39.9. Sort -3, -0.11, b.\nAnswer: -3, -0.11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 76792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*m = 11*m + 1778. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s*s\/s**(-1)*s*s*s\/(s\/(s\/s**2))*(s*s**0*s*s)**11*((s**(-2\/7)*s)**(-27\/5))**(1\/5) assuming s is positive.\nAnswer: s**(1268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 15*z**4 - 5*z**4 + 48*z**4 + 2*z**4 + 0*z**2 + 0*z**2 + (-z**3 + z**3 + z**3)*(-5*z + 3*z - 2*z).\nAnswer: 56*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the first derivative of 7*t**6\/30 + 23*t**2\/2 - 47*t + 48. Let g(p) be the first derivative of o(p). Differentiate g(k) wrt k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15500 and 20.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*b**4 + 2*b**3 - 337*b**2 - 75*b + 5037574 wrt b.\nAnswer: 8*b**3 + 6*b**2 - 674*b - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/4)\/((-6)\/(-168)). Let i be 3*2*s\/28. Suppose i*h - h = 6. Solve -b = -h*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -57*((-6)\/10 - 36\/15).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -84167 = -1042*j - 92503 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-5398296\nAnswer: 1619488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101000110011000011110 (base 2) to base 8.\nAnswer: -15063036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbbabbgbgabbbbbab. Give prob of sequence bbab.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 508.4 and -0.21.\nAnswer: -106.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 34.02 - 0.02. Let m = u + -34.5. Sort 4, 0.5, m, -2\/17.\nAnswer: m, -2\/17, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes before 3:10 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 17 - 13. Let n be 165\/22*a\/5. Suppose 0 = -0*c - 3*c - n, 2*o + 3 = -5*c. Let l(g) = -g**3 + 6*g**2 + 2*g - 6. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53051825 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 - 3)*(-1481 - 26*s + 1459 - 16*s) to m*s + i and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53219 is divided by 150.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 - 8.9. Let b = -101\/6 + 17. Which is greater: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 624542978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/7)\/(-3))\/((-1958)\/623).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 30 - 28. Let v(j) be the first derivative of 3 - 2\/3*j**3 + 0*j**f + 0*j. Let r(q) = 4*q**2. Calculate r(v(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 4 + (5 - (-5 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*i + 6*i + 19*i + 9*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 22 = -7*c. Let g(o) = -3*o + 38. Calculate the remainder when 23 is divided by g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2075, -4194, -6315, -8438, -10563, -12690?\n\"Answer: -r**2 - 2116*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5482, -8, -27, -5 in increasing order.\nAnswer: -5482, -27, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-318 + -155 - -483) + -2 + (0 - -23)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/4 + 30\/8. Suppose z*d = -4 - 4. Let w be 3 + 4 + d + -1. What is the highest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3 = -3*z + 6*l, 0 = -3*l + 9. Suppose -z*p - p = -15. Solve -4*t - 2*g + p = -5*g, -9 = -4*t + g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -4*b - 118. Let o be z(18). What is the tens digit of (9 + -3 + -9)*o\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + 5*f + 10 = 0, 2 = -613390*u + 613386*u - f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/(-56))\/(1\/2)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l**5\/5 - 184*l**4\/5 + 284*l**3 - 3344*l**2\/5 + 2544*l\/5 = 0. Calculate l.\nAnswer: -53, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 + -8. Let k(g) = g**3 + g**2 + g + 10. What is the remainder when k(0) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3311703 (base 9) in base 10?\nAnswer: 1779330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5403 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -592 divided by -5.\nAnswer: 592\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -2312122223 (base 4) to base 8\nAnswer: -2663253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -219369 times 3958\nAnswer: -868262502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 50 - 49. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6007*j - 6442*j + 29580 = 0 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 3 + 3)*(-4 - 6 + 3) + 2 - 2 - 2 + 1 - 4 + 5 + (-3 - 2 + 3)*(2 - 6 + 2) - 2 - 1 + 4 + 5 - 3 - 1 + 0 + 2 - 4)*(-y + 6*y - 3*y).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -26*h + 7*h**2 - 4*h**2 - h**3 + 12*h**2. Let f be x(13). Solve 5*t + 5 + f = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of c**4\/24 - 7*c**3\/6 - 4*c**2. Let k be f(6). Let p = -2 + 2. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15180 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1484\/9646 - (-1419)\/(-13)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-28)\/(-16) + (-1158)\/648. What is the fourth smallest value in 4, 0.3, l, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-6)*t)\/(t*t**(-6)\/t*t))\/((t*t**(1\/5))\/(t\/(t**(2\/9)\/t))) assuming t is positive.\nAnswer: t**(26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 218952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 21 - 16. Solve l = -3*v + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*n - 14 = -2*j - 15*n, -10 = -2*j + 4*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the third derivative of -3*x**7\/385 - 7*x**6\/55 - 83*x**5\/165 + 35*x**4\/33 - 25*x**3\/33 - 36*x**2. Factor v(r).\nAnswer: -2*(r + 5)**2*(3*r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.061 at most as big as 2163.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 136 - 80. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1380)\/24*(76\/40 - 2)*4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 10521208661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 3*i - 3*l + 39, -2*i - 4*l + 34 = 0. Let g(b) = b**3 - 6*b**2 - b - 4. Give g(i).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 3705*y - 346. What is the ten thousands digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 (base 7) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 82939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-9)\/4)\/((-9)\/240). Let h = -54 + s. Let q be (-2)\/h*(-28)\/21. Is 0 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -189*a + 363*a - 525 = 189*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 PM and 8:47 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from peeeepeepeeeepeeep?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 24 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*l + 556 = 0, 2*n + 0*l - 1140 = -3*l. Let j = 1100 - n. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, m: 3, z: 1, w: 1, n: 5, r: 2}. What is prob of picking 1 m and 2 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 5*p - 113664, 33*p - 4*h = 35*p - 45456. Calculate the highest common factor of 54 and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9, o: 4, z: 2, f: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0*-0.118\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {i: 1, s: 8, r: 6}.\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -5*r**3 - 10*r + 24. Let z(u) = -u**3 - 2*u + 5. Let v(m) = 2*q(m) - 11*z(m). Let y(b) = b - 3. Give 2*v(i) - 5*y(i).\nAnswer: 2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 6*g**3 + 14*g. Let d(t) = 3*t**2 + 18*t + 6. Let m be d(-6). Let u(l) = -l. Let r(a) = m*u(a) + f(a). What is the second derivative of r(n) wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42 + 0*q**2 - 5*q**2 + q**2 - 34*q + 28 - 38 = 0.\nAnswer: -13\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 8*w**4 + 9*w - 3. Let y(s) = -s**4 + s + 1. Let u(o) = -v(o) - 3*y(o). Find the second derivative of u(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 7*q - 50. Suppose q*r - 16*r = -72. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 1 + 1\/7*t**2 - 8\/7*t = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 14 = -2*l, 0 = -2*y - l + 2*l - 17. Calculate the remainder when 19 is divided by (100\/(-35))\/(y\/21).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 3797 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 124*i**2 - 2*i + 71. Is u(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*2*(-1 + 2). What are the prime factors of (-50)\/(-18) - a\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 1 - 20*i**3 - 7*i + 13*i**3 - 7*i**2 + 7*i**2 as m*i**3 + y + j*i + u*i**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - 1 - -1) + 2 + 1 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 14 - -32031250?\nAnswer: 32031264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 93 - 280\/3. Which is the second smallest value? (a) -2 (b) k (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -98 - 96 + 391 - 106 + 7*c - 91.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**2\/j)**(-11\/6))**(-6\/11))**42 assuming j is positive.\nAnswer: j**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -5, 2\/45, -0.42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 PM and 5:59 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - u + 3*u = -61, 2*w = 5*u + 126. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c3c0 - 3?\nAnswer: -c3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 1032, 1030, 1026, 1020?\n\"Answer: -x**2 + x + 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 14960.6958 to zero decimal places.\nAnswer: 14961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, 0.02, -3 in descending order.\nAnswer: 1\/5, 0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 5*n = 8, 4 = 18*n - 22*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 3*k + 15 = 0, -a - a = 5*k + 3. Suppose -57 = -2*n - 7. Calculate the remainder when (-118)\/(-4) - n\/50 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/4)\/(-1) + 95200\/(-36800)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 325 - -1?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 3256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be (16\/(-24))\/((-1)\/(-3)). Let s(c) = c - 12. Let h be s(8). Let q(i) = 3*i + 2. Let d(p) = -3*p - 3. Let y(f) = h*d(f) - 5*q(f). Determine y(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/38)\/1)\/(6\/(-4)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vggv when four letters picked without replacement from {m: 1, o: 3, v: 2, b: 1, g: 10, x: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 7784023954 to the power of 1\/2, to the nearest integer?\nAnswer: 88227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/6096 and -1\/312.\nAnswer: 79248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -71\/15 + 16\/3. What is the second smallest value in 0.07, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -5, 0.3, -0.9, -0.1, -2939?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7591 + 68963 + 167045 = -3129*h for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 3, 52764, 1\/6, -3, 0.4, -45?\nAnswer: 52764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58 = 6*a - 32. Let b(o) = o**3 - 10*o**2 - 5*o + 7. List the prime factors of b(a).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of o**6\/120 + o**5\/5 + 7*o**3\/6 + 23*o**2. Let g be t(-12). Suppose -g*k = 198 - 1654. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 11 = 5. Let z be 2\/d - 11\/(-2). Suppose -z*k = -3*k - 3. Put 0, k, 2 in descending order.\nAnswer: 2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (5*3*(sqrt(48)\/sqrt(6)*3)\/((-1*sqrt(36))\/sqrt(9)))**2*-6.\nAnswer: -24303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 5100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(32) + 1)**2 + 3.\nAnswer: 8*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -33390039 divided by -7653\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/70375 and -22\/2815.\nAnswer: 70375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-521)\/4 - 9\/12. Let n = -87 - u. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6344, 4, 2, 101 in ascending order.\nAnswer: -6344, 2, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*6*(sqrt(684)*-2)**2 + (5 + 5 + sqrt(57)\/sqrt(3) + -2)**2.\nAnswer: -81997 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1d226a (base 15) in base 8?\nAnswer: -5336640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 10. Suppose -3*x + r*x = -117. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -8*x + 4*x. Let d(b) = 7*b - 3. Let u = 157 - 104. Calculate the remainder when u is divided by d(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 308886*g + 2952*g**2 + 5756*g**2 - 308886*g.\nAnswer: 8708*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 60*i + 39. Let l(m) = 6*m + 4. Let r(j) = 21*l(j) - 2*p(j). Let q(c) = -4*c - 2. Let g(u) = u. Let x(n) = 2*g(n) + q(n). What is 3*r(v) + 8*x(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2 - (24\/(-16) + 338\/(-4))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 194 a factor of 69245758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, q: 1, h: 1, s: 2, v: 2, i: 2}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -32, -98, -232, -458, -800, -1282, -1928?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -2*z + 10. Let m = 10 - z. Let a = 3 + 0. Solve -m = -2*v + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the second derivative of 101*w**5\/4 + 1343*w**2\/2 - 8*w + 9. What is the derivative of j(d) wrt d?\nAnswer: 1515*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 5*h**2\/4 + 9945*h\/4 - 65065\/2 = 0.\nAnswer: -2002, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -8*k - 3. Let o be (9\/27)\/(2\/(-6)). Let r be b(o). Suppose 0*i - 150 = -r*i. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -367*l**2 - 123?\nAnswer: -734*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (1164\/1940)\/(24\/5)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 24 + -9. Let p = l + -14.949. What is p rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2*u**2 - 2690*u - 2. Let w(l) = 2*l**2. Calculate z(w(m)).\nAnswer: 8*m**4 - 5380*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2\/15)\/p**2*p**1\/p*p\/p**6*(p**(1\/2))**11*(p\/(((p\/(p*p**(1\/9)))\/p)\/p))\/(p*p*(p*(p\/p**7)\/p)\/p) assuming p is positive.\nAnswer: p**(583\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -24\/47 (b) 2 (c) -0.5 (d) 6\/7 (e) 18 (f) 4\/3 (g) 0.15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -130 divided by 130?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*s + 4*s - 87*s + 21*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3270 + 4962. List the prime factors of g.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 46 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1967 - 2005 - 6*m + m + 3*m.\nAnswer: -2*m - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -25*y - 63. Let i be c(-15). Suppose 0 = -z - 11*z + i. Solve 6 = -z*d + 20*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 10226816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -128, -544, -1692, -3938, -7648, -13188, -20924, -31222?\nAnswer: -44448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b - 9. Let n be p(9). Suppose n*k = 2*k - 22. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 91*r - 24*r - 17*r + 16*r**3 - 17*r - 33*r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -96444*r**3 - 48400*r wrt r?\nAnswer: -578664*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:04 AM and 2:36 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 6 (b) 2\/7 (c) 20 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 10:40 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -6634*o + 6635*o + 7*o**2 + 78*o**2 as t + r*o**2 + k*o and give r.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/45*(-24)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92062?\nAnswer: 2, 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -129434*y**2 + 15251*y + 2 wrt y.\nAnswer: -258868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.01907 and -614807171.17?\nAnswer: 614807171.15093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1105 is divided by 189?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2170882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 676 + 232 = 0. Suppose -l - 95 = -3*q + 18, 2*l = 4*q - y. Which is bigger: 75\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**5\/3 - 273988*j**4\/3 + 2085200892*j**3 - 15867683477604*j**2 - 31743708489432*j.\nAnswer: 4*j*(j - 22833)**3*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.026199? (a) 2\/3 (b) -0.08 (c) -3 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d - 15 = 7*d. Solve p - 7 = -3*a, 6 + d = 3*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 509556960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 27302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3*8\/48*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 296, 1, -2, -1\/7, 7\/20 in decreasing order.\nAnswer: 296, 1, 7\/20, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3215 a factor of 981812278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -10 - 25 - 60*s - 15. Let i(n) = n + 1. Let w(m) = 50*i(m) + t(m). Let q be w(-1). What is the greatest common divisor of 70 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*f - 64 = 35*f. Let t be (-29)\/(-5) - -3 - (f - -10). Factor -t - 2\/5*a**2 - 16\/5*a.\nAnswer: -2*(a + 1)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.3, -66, 63, 1, -0.1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3018.9 + 3018. Put 7\/5, 0.3, y, -2, 5 in descending order.\nAnswer: 5, 7\/5, 0.3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 22dbb (base 16) to base 12\nAnswer: 6a763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 36037, 72267, 108495, 144721?\n\"Answer: -c**2 + 36233*c - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 1827*n + 1477 = 1112*n + 910*n - 5153 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11851377 is divided by 451?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 9:22 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, k: 1, l: 8, r: 2}. Give prob of sequence bkbl.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 933349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 307553*t**3*y**2 - 133*t**3*y - 47151*t**2*y**2 - 13*t**2*y + t**2 + 30*y wrt t.\nAnswer: 1845318*y**2 - 798*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8185235 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be -19 + ((-7)\/(-14))\/(1\/(-2)). Let l be (27\/15)\/((-12)\/v). What is the first derivative of -l*w - 12 + 0 - 7 wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -239374\/55 greater than or equal to -4353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of 0*t**5 + 0 + 0*t + 0*t**6 - 1\/21*t**7 - 3\/2*t**3 + 0*t**4 - 4*t**2. What is the derivative of j(d) wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4944 and 155256.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -31*z - 28*z + 58*z. Let i(c) be the third derivative of -41*c**4\/8 + 36*c**2. Calculate i(q(p)).\nAnswer: 123*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2 or -114213\/1453?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbtbqqx. Give prob of sequence tqbb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -b9239 (base 12) to base 16.\nAnswer: -3b90d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 7*n**2. Let f(c) = -3*c**2 - 404. Determine f(g(v)).\nAnswer: -147*v**4 - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 6, 9, 0.09, -2, 0, 3.\nAnswer: -2, -1, 0, 0.09, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -11172, -11155, -11124, -11079, -11020, -10947?\n\"Answer: 7*i**2 - 4*i - 11175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 103*o + 8. Let y be q(5). Suppose -117 = 4*d + y. Let p be (-3742 - 8)\/((-1)\/d). Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4798 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -945*u**4 - 2391*u.\nAnswer: -11340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) 4 (b) -4 (c) -2\/11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 44322*t + 82 = 44308*t, 5*t + 37 = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(1\/3)*l)\/(l*l\/(l**0*l)*l))\/(l*l**(-5)*l*l**(-2\/35)) assuming l is positive.\nAnswer: l**(251\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.0988 (b) 2\/5 (c) -4 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j = -70, -13077 = -5*b + 4891*j - 3958*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, w: 2, c: 4, b: 3}. What is prob of sequence wuw?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6\/(-8))\/(4\/(-96)). Suppose -u = -g + 18. Let h = g - 26. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z**2 + 75*z - 347. Determine h(32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 + 119*n + 779. Let g be k(-7). Suppose 3*v = -6 + 3. Let b = -2 - v. Sort g, -3, b in ascending order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8310 or 7763?\nAnswer: 7763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 10 - -107721?\nAnswer: 107731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - (-6)\/(-4) - 20\/10. Let h = 6 - 8. What is the closest to 1\/2 in z, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00134875899 rounded to 7 dps?\nAnswer: -0.0013488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.6222414mg?\nAnswer: 0.0006222414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 14336 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 2564382.7 * 4.\nAnswer: 10257530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 + -110311212?\nAnswer: -110311210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8a41 (base 11) in base 8?\nAnswer: 27177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4117 (base 13) to base 12\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 336*t - 1 + 1 + 7047*t**3 - 7003*t**3 wrt t?\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 92.021 + -0.021. Let y = -92.0000047 + c. What is y rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 203139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 77565 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-5\/7))**(-3\/2)*(s**(-13)\/s*s*s)\/((s**(-21)\/s)\/s) assuming s is positive.\nAnswer: s**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 27911145 to the power of 1\/2, to the nearest integer?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(102)*1 + sqrt(102))*4*-4)\/((sqrt(18) - (sqrt(180) - -1*sqrt(180))\/sqrt(10))\/(sqrt(12) + -2*sqrt(12))).\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 12, c: 7}. What is prob of sequence dccd?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - 24 = -119*m + 122*m, -11 = -m - 5*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -248943 (base 11) to base 16\nAnswer: -5fd02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 66228, 264892, 595994, 1059528, 1655488, 2383868, 3244662?\nAnswer: 4237864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 406 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 726879339 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2 + 15177*p + 15180.\nAnswer: -3*(p - 5060)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 56 and 82481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1828445 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -80, -72, -50, -8, 60?\n\"Answer: r**3 + r**2 - 2*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 54495.34mm?\nAnswer: 0.05449534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of -128*s**4 - 520*s**3 - 2413. Find the third derivative of j(x) wrt x.\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*b - 9*b - 5*m = 30, 4*m + 25 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1\/4*2 + 7\/(-7). What is the second biggest value in 0.1, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of -4*c**3\/3 - 2*c - 1. Let r = -6 + -1. Let m(x) = 2 - 1 + 3*x**2 - x**2 + 0*x**2. What is r*m(i) - 3*k(i)?\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u + 3*v + 228, -584 = -4*u - u + 4*v. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-9))\/(24\/(-36))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 5331.4 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*z**2 + 9*z**2 + 266 - 266 to u*z**2 + x*z + v and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 o when three letters picked without replacement from {p: 1, n: 1, z: 4, c: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (33 - (57 + -39)) + -4 + -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1\/3)\/a*a\/a**5*a)\/(a**(1\/2))**(-10\/3) assuming a is positive.\nAnswer: a**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -34 + -10040?\nAnswer: -10074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 - -1 - (-2 - (-13 + 4 - -11)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of -4 - 1\/24*k**4 - 2*k**2 + 0*k + 2\/3*k**3. Let s(t) be the second derivative of j(t). What is the derivative of s(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -172, -740, -1686, -3010, -4712?\n\"Answer: -189*s**2 - s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of -j**4\/8 - 11*j**3\/2 + 1435*j**2. Give y(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 54, 2, -710, 11, 1\/2 in decreasing order.\nAnswer: 54, 11, 2, 1\/2, 0, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 43456 and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x + 4320 = 450. What is the remainder when 167 is divided by 13\/((-195)\/x) - (-2)\/(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 102, -4894, -18458, -44874, -88426, -153398, -244074, -364738?\n\"Answer: -714*b**3 + 2*b + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-2470)\/104)\/((-165)\/264)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*c + 210 = -14*c. Calculate the remainder when (7\/c)\/((-493)\/(-246) + -2) is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 261 = -47*s + 18*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*b = 138 - 39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -19039, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ydi when three letters picked without replacement from ibidyrp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*z**2 + 2*z**2 - z**2)*(-19 + 0*z - 14*z**2 + 18 - 3*z) to n*z**3 + d*z + p + a*z**2 + o*z**4 and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) -3\/10 (c) -1 (d) 2\/9 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -5, -27, 2 in ascending order.\nAnswer: -27, -13, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pl when two letters picked without replacement from {l: 6, p: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -e + -1a?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*t**5 + 265*t**4 - 2*t**3 + 16*t - 772?\nAnswer: -40*t**3 + 3180*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, m: 1}. What is prob of picking 1 m and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -64*k - 630. Calculate z(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57 + 2 + -4 + -12 + -34 + -44 + 92.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -43*b - 3. Let u be y(-3). Let w(a) = -3*a - 3. Let o be w(-7). What is the highest common divisor of u and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3686, -4007, -4540, -5285, -6242, -7411?\nAnswer: -8792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**5\/60 - 3*u**4\/8 + 11*u**3\/3 + u**2. Let b = -1417 + 1425. Calculate the remainder when 51 is divided by h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - -8. List the prime factors of 4\/14 - (-264)\/q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-5 + -5*(1*sqrt(68) - sqrt(68)) + sqrt(68)*1*-2)**2.\nAnswer: 160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4156*j**4 + 13028*j**3 - 14148*j**2 + 5836*j - 560.\nAnswer: -4*(j - 1)**3*(1039*j - 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 30*g**2*h - 9*g**2*n**3 + 19*g**2 - g*h*n + 25*g*n**3 + 6*g*n - 58*h*n**3 wrt g.\nAnswer: 60*h - 18*n**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 8666*m**2 + 7*m + 13. Let t be q(-17). Let h = -4185043 - -9439411. Let b = h - t. Round b to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 + 6*m**2 - 11*m + 27. Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11087 - -15898. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 10226857373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 6266*m + 43714. Calculate f(-7).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*m**3 + 3463468*m**2 + 21934840*m + 6926784 = 0. Calculate m.\nAnswer: -288616, -6, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 - 473a595a?\nAnswer: -473a5954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**2 + 6*h - 5. Let j be a(4). Suppose -3*n - n = -604. Is n - 1*6\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -4*m**2. Let g(r) = 6*r + 18. Let s(f) = -f - 2. Let p(n) = -g(n) - 9*s(n). Give x(p(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (2898*g**2 + 39 - 2896*g**2 - 97)*(-g - 2 + 2*g + g + (-1 + 0 + 2)*(0 + 0 + g)) as v*g**2 + d + w*g + c*g**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15196 - -61393\/4. Let w = x - 151. What is r in -r + 9\/2*r**4 + 0 + w*r**5 + 17\/4*r**3 + 0*r**2 = 0?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1232*o**3 + 1232*o**3 + 211*o**5 - o**2 + o**2 + o**5 + (-o - o + 4*o)*(-7*o**4 - o**2 + o**2).\nAnswer: 198*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 44676 = -l, 5*t + 62 - 37 = 0. What are the prime factors of l?\nAnswer: 2, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 1)*(-m + m + 2*m) - 1 + 41*m - 69*m + 281*m.\nAnswer: 255*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -1105.883371 to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 26 or -17281?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**2 - 2*b - 1. Let v(d) = -99*d**2 + 97*d - 1. Let c(q) = -o(q) + v(q). What is the second derivative of c(h) wrt h?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.15*6.3.\nAnswer: 0.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**1)**(2\/25)\/(((t\/t**(-2))\/t)\/t**0))**25)**(-2\/65) assuming t is positive.\nAnswer: t**(96\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (4*x - 3*x + x)*(-2 + 2 - 3) - 87 + 28*x + 87 as j + b*x and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 5, o: 1, j: 3, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 4*x - 356, 2*d - 356 = -4*x - 0*d. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 2*k. Let v(s) = 740688*s + 6*s**2 - 740614*s - 3*s**2. Calculate v(r(x)).\nAnswer: 12*x**2 + 148*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/((-6)\/27)*(-13)\/(-78))\/(144\/(-4800))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 50 or 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u - 1. Let f be h(3). Let r(b) = -2*b. Let l be r(f). Let 2*j**2 - l*j**4 + 9*j**3 - 4*j**2 + j**4 = 0. Calculate j.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 95\/(-15) - (-1)\/3. Let u = 10 + j. Solve -2*m + 3*s = -u - 1, -5 = -3*m + 4*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.74248 from 264263.\nAnswer: 264263.74248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 40495 - 12941 + 64038 = -2220*x - 21628 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3992061 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -4*g**2 + g + 1. Let q(c) = c**2 + c. Let a(l) = -n(l) + 3*q(l). Calculate the remainder when 22 is divided by a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of 71\/2*k**2 + 129 - 180*k - 2\/3*k**3. What is the derivative of i(v) wrt v?\nAnswer: -4*v + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 792870 and 9120.\nAnswer: 12685920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 15070 (base 10) to base 7\nAnswer: 61636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07532555 rounded to 4 dps?\nAnswer: -0.0753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 37 + -31. What is the third derivative of -4*g**t + 6*g**2 - g**6 - 11*g**6 - g**6 wrt g?\nAnswer: -2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {z: 2, k: 15, m: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19, 143, 475, 1117, 2171, 3739?\nAnswer: 5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2697662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*r**2 - 2*r**2 - 37*r + 41*r to a*r**2 + q + w*r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 0 + 4 - 6 - 3 - 61*o - 5. Does 26 divide b(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/(-6) - (-20)\/6. Solve -2*a + 6 = s, -6*s + 4*s = -h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5 + (-17 - (-12 - -6)). Find the common denominator of (j - -8)*(-82)\/(-150) and -71\/45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 4313, 3, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**5 + 6 - 6 + (4 - h**3 - 4)*(-1 + 4*h**2 + 1) - h**5 - 3*h**4 + 3*h**4.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - m - 24*m = -1759010. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42553?\nAnswer: 7, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1833 + -1835. Let b = -4 - -2. Let o be -2*b\/(-4) + -2. Put -7, s, o in decreasing order.\nAnswer: s, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 13115 - 9512. What are the prime factors of f?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 252133, 253620, 255107, 256594, 258081, 259568?\n\"Answer: 1487*h + 250646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/176120 and 97\/17150.\nAnswer: 43149400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -244*w**3 - 2121*w**2 + 4091*w**2 - 1969*w**2.\nAnswer: -244*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6a (base 11) in base 7?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 292*z**2 + 26*z. Let r(f) = 58*f**2 + 6*f. Calculate -5*b(h) + 24*r(h).\nAnswer: -68*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15818 (base 12) in base 10?\nAnswer: 30548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 82520 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.04 - 19.96. Let o = -14 - j. Put 2, o, 0 in decreasing order.\nAnswer: o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkececeewccwkkkkeew. Give prob of picking 1 e and 1 k.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1519, -1523, -1549, -1609, -1715, -1879?\nAnswer: -2113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -11556, -23103, -34634, -46137, -57600, -69011?\n\"Answer: 2*v**3 - 4*v**2 - 11549*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/32 and -113\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 39*v + 1445 = -667 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 100 + -102. Let w = 47 + -518\/11. Let v = -73\/210 + 1\/70. Which is the second smallest value? (a) p (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25.28 - -0.2. Let h = -25 + x. Let c = h + -0.47999981. What is c rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -6*o + 3. Let h be m(-8). Suppose 5*f - h = 2*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 37 + -24. Suppose -1 = 3*u - x. Let l be ((-316)\/76 + u)*(-4)\/6. Which is the nearest to -1\/4? (a) -0.3 (b) l (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 83 and 581.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 5*x - 118, -3*x - 3*m + 62 = -4*m. Let h = x - 14. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 126 and 3929760?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - 0 - (-16 + 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9\/((-27)\/(-12)) + 13. Let u(h) = -h**3 - 4*h**2 + 6*h - 3. Let n be u(-5). Let i = w + n. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7973621 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.4917 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 - -27. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -3*s**2 + 7*s + 13. Let y(f) = -354*f + 6 + 715*f - 2*f**2 - 358*f. Let p(h) = -3*d(h) + 5*y(h). Determine i so that p(i) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 2, z: 1, s: 4, q: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 + -21. Let o = u + 14. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1 - 7)*(-4)\/6. Suppose -s - 15 = -b*s. Let w(g) = 0*g + g**2 + s + 0*g + g. Determine w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 214*h**2 - 104*h**2 - 3 - 112*h**2 + 1 - h**3 to j*h + m*h**2 + w + x*h**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 743*x**5 + 58*x**4 - 16*x**3 - 2*x**2 + 22*x + 29151 wrt x.\nAnswer: 44580*x**2 + 1392*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4909, -38791, -130393, -308455, -601717?\nAnswer: -1038919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 4)*(3*u - 4*u - 3*u) + 12*u - 71*u + 157*u.\nAnswer: 94*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w**2 - 3 + 2*w - w**2 + 6*w**2)*(-3*w + 5 - 5 + 63 - 75*w - 63 + (-2 + 1 - 1)*(-2*w + 1 - 1) + w + 4 - 4 + (3 - 2 + 1)*(-w + 5*w - 3*w)).\nAnswer: -213*w**3 - 142*w**2 + 213*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 731421 (base 9) in base 12?\nAnswer: 18b26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6451 - -103457. Let k be d\/(-10) + 3\/5. What is k rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 4*x**2 + 5*x + 6. Let q(b) = 2*b**2 + 2*b + 3. Let a(t) = -2*o(t) + 5*q(t). Let s(r) = -3*r**2 - 3. Give -4*a(h) - 3*s(h).\nAnswer: h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 16 = 2*z, 6*v + 11 = 5*v + 5*z. Is v\/18 + (-4328)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (232\/(-6))\/((-812)\/5481). Let d be (-6)\/(-27) + (-259)\/(-9). Calculate the highest common factor of h and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of -k**4\/6 - 4*k**3\/3 - 7*k**2. Let i be s(-3). Factor 2*f**5 + 0*f**2 - 4\/5*f**3 + 0*f + 0 + 6\/5*f**i.\nAnswer: 2*f**3*(f + 1)*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7643683?\nAnswer: 7643683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 55049281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -72 - -2a2?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 - 2*q**2 + 4*q + 19. What is x(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d + 19. Suppose 0 = 2*h + 3*u + 28, 0 = 2*h - 4*u + 34 - 6. Determine o(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (10 - -5)*1\/(-3). Is y bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n. Let s(u) = -u**2 + 4*u. Let p(z) = 4*b(z) - s(z). Let v(x) be the third derivative of -x**4\/4 - 2*x**2. Determine p(v(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + -7. Suppose 16 = n*q - 0. Let f = 12 - q. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 448 and 60193280.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10919.\nAnswer: 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**3 + 23*d - 434. Let i be g(0). Let a = 56 - i. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1522.8 - -1524. Let v = 78 + -315\/4. Which is the second smallest value? (a) 5 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/7 in -128, 4\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**3 - 16*c**2 - 16*c - 7. Let f be p(-15). Suppose 2*d - 6*d = 2*h - f, -4*d + 4 = 3*h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4270*j - 1275*j - 16846 = -177651 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x - 36. Let f be t(20). Suppose -65 = -4*z - h, -f*h + 35 = 2*z - h. What is the tens digit of 80\/24*(z - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5.95 + -0.35. Let b = q - -6. What is the nearest to -1 in 2, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in 3\/8, -0.07, -4\/5, 0.3, 10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (8\/10)\/(-2) + ((-12647)\/(-5) - 11)?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-5)*(q**1*q)\/q)**(-23)\/((q**(-1\/5))**(-4\/25))**(1\/10) assuming q is positive.\nAnswer: q**(57498\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 * -25154.\nAnswer: -176078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - 1015?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5726944371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -56\/2676179 and -123\/5210260.\nAnswer: 588759380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(272))**2*-2.\nAnswer: -19584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwx when three letters picked without replacement from wxaxaxaw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -27 + 28009740?\nAnswer: 28009713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -203 * 81.1986\nAnswer: -16483.3158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*q = 21*q - 2*w + 3, 12 = -4*q - 4*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -765.2342162626 - -0.2341306626. Let t = -765 - l. Round t to six dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -40\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 120270185 - 120270185 - 10566*a + 10553*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2337 - 2336 = -2*m + k, 0 = 8*m - 5*k + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 30, 60, 96, 138, 186, 240, 300?\n\"Answer: 3*z**2 + 21*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2619 - 801 + 2872 + 1966)*(-15 + 10*d + 15) to the form l*d + w and give l.\nAnswer: 66560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -6, -0.18, -3\/2 in increasing order.\nAnswer: -6, -4, -3\/2, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 902 by 370.\nAnswer: 451\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*h**5 + 0*h**5 - 2*h**5 - 6*h wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -12\/89, 0.3, -72\/35?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 205167, 0, -4, 2.\nAnswer: -4, 0, 2, 205167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 3 + 1. Let g(b) = 4 + 3*b**z - 4. Let a(p) = p + 3. Let f(m) = -2*m - 7. Let w(c) = -7*a(c) - 3*f(c). What is g(w(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*f**5\/7 + 2962*f**4\/7 + 25364*f**3\/7 + 38238*f**2\/7 - 27756*f\/7 - 38880\/7 = 0 for f.\nAnswer: -30, -9, -9\/4, -8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is 224633334 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t**(-24)*t*t)\/(t\/(t\/t**(5\/9)))*t\/t**(-1\/11)*t**9 assuming t is positive.\nAnswer: t**(-1135\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 150, 304, 458, 612, 766?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 33 and 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -185, -1, -9, 4, -8 in descending order.\nAnswer: 4, -1, -3, -8, -9, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -5*f**2 + 61*f - 83. Give j(12).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2466 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 4732020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {z: 5, i: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 210251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 3 = 0, 2*a - 3*w + 0*w = -13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of h**7\/84 + 5*h**6\/48 + h**5\/3 + 5*h**4\/12 - 43*h**2 - 119*h. Let u(q) be the first derivative of r(q). Factor u(a).\nAnswer: 5*a*(a + 1)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488 is divided by 118.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**4\/4 + 169*g**3\/2 + 2969*g**2\/4 + 658*g = 0. What is g?\nAnswer: -329, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 99 divided by -33196\nAnswer: -99\/33196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 275197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1302940 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -38\/111 - -62\/37. Solve m*n**2 - 8\/3 + 4\/3*n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 54*w**2. Let b(s) = -11*s**2. Suppose -795 = 203*n + 300 - 283. What is n*k(a) - 22*b(a)?\nAnswer: 26*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 1377.653 to the nearest 10.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 864 = -g, 4*g - 2*g + 225 = -a. Let h = -67 - a. What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (4\/8*-4)\/(10*(-874)\/920)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 4*g - 11. Let h(q) = q - 1. Determine f(i) - 6*h(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 156 - 44. Let z = 114.0063519385 - 2.0063528085. Let y = a - z. What is y rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-6*((-1*sqrt(78) - sqrt(78)) + sqrt(78))*-1)\/(sqrt(864)*2 + sqrt(6) + -6*-2*sqrt(6)).\nAnswer: -30*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3 + -18 - -26 - 18 - (-116 + (1 - 5))\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.5337 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18465 = -12*k - 41*k + 17340296. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q + 1 - 11. Suppose 3*h = 5*b + q, -3*h = -b - b - 8. List the prime factors of (b\/3)\/(21\/63).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.553098304 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82224 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -257337*h + 1. Let v(d) = 257338*d - 2. Let o(x) = 3*i(x) + 2*v(x). Let m be o(-2). Suppose 485331 = 5*f - m. Round f to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.03, -1\/4, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 37445474 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/17))**(7\/13))**(-27\/4) assuming s is positive.\nAnswer: s**(-189\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 5*d = 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/(-6))\/(42\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**3 + 5*r**2 - r - 42. Calculate a(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 37060 and 66580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(2\/4 - 45\/70). Let l = -10 - k. Which is the closest to l? (a) -2 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -4*n. Suppose -21*j = -56*j + 16*j + 19. Let v(g) be the first derivative of -j + 0*g - 5\/2*g**2. Calculate r(v(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/(-3))\/(-18)*(-8)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 85*m + 2. Is z(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 43\/2 of a century?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + 6273?\nAnswer: 6271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29 + 33. Let o = i - -5. What is the least common multiple of 3 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - (-10 - -6)) + 10 + 1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -2834, -5, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, -1\/2, -5, -2834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 4*r + 11 = 0, r = 3*p - 2*r + 9. Let d(h) = 5*h - 3*h + 16*h - 1. What are the prime factors of d(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 - 2*p + 4. Let q be x(-3). Let v(r) = r + 12 + q + 20. Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1604 - 633 + 2*r - 746 + 0*r - 5*r.\nAnswer: -3*r + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(sqrt(171)*-1 - sqrt(171))*-3)\/(sqrt(45)\/(sqrt(5) + sqrt(80)*-1)))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 96 divide 6912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 304996477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**3 + 2*q**2 - 5*q + 6. Let p = -33 - -43. Let y = p + -13. Let a be h(y). Solve a = -2*l - l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + d**3 + 0 + (-2 + 2 - d)*(-d**2 - 4 + 4).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 48 - 49. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 0*l = 1. Let g be 6\/1 - -2 - 3. Let w be 16\/g + (-6)\/2. Which is the closest to -0.1? (a) 0 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 42 - 99. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69395.\nAnswer: 5, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((1 + -6*(sqrt(13) - sqrt(637)) - -1*(sqrt(117) - -3*sqrt(117))) + -5))**2 + 3.\nAnswer: -1536*sqrt(13) + 119875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*p + 6996 = -2*p. Let c = 1292 - p. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 38\/((-266)\/(-231)) + -8 - 95.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.774736 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*p + 72 = 17. Suppose 5*q - 2 = -3*b, 20 = 5*b + 4*q - p. Solve b*m = 4*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 4*k**2 - 21*k + 8. Let q be j(5). Let i(v) = 2*v**q + 13*v**3 - 1 + v**2 - v + 93*v**3. What is the hundreds digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 0 + 11 + 2*h to a + g*h and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 20410*k**3*m - 2*k**2*m**3 + 63917*m**3 wrt k?\nAnswer: 61230*k**2*m - 4*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 3, -41, 26 in decreasing order.\nAnswer: 26, 3, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -5*k - 2*d, 2*d = 2*k - 0*k - 14. Suppose -5*i + k*t + 325 = 0, t = 4*i + 4*t - 281. Let a = i + 95. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.02 (b) -1\/5 (c) 11351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, -159, 4, -22.\nAnswer: -159, -22, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -12081.76262*5\nAnswer: -60408.8131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 2760078?\nAnswer: 2760078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 2 - 4*n**2 - 2 + 5*n**2. Let d be k(1). What is the first derivative of 1 + d - 4*t**4 + 3 + 0*t**4 wrt t?\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5.349977l?\nAnswer: 5349.977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*-120544.\nAnswer: 843808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 127, 8, 5, -2, -5 in ascending order.\nAnswer: -5, -2, 5, 8, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of 12*u**5\/5 + 13*u**4\/3 + 8*u - 10. What is the third derivative of m(t) wrt t?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6 (b) 2\/93 (c) 881 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.73 - -29.73. Let j = 30.5 - d. Let q = 0.1 - j. Which is the third smallest value? (a) 5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a0 (base 11) to base 16.\nAnswer: e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**2 + 4*y + 7. Suppose -7 = -4*k + 17. Is t(k) 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 5*p**5 - 877*p**3 - p**2 - 17782*p?\nAnswer: 100*p**3 - 5262*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 24*((-4)\/(-8))\/1. Let w be ((-77)\/4)\/(2\/(-8)). Let y = v + w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 32078, 64509, 97238, 130265?\n\"Answer: 149*f**2 + 31984*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 9*j + 21. Let g(h) = h + 2. Let i(m) = -m - 4. Let w be i(-2). Let q(o) = w*p(o) + 21*g(o). Let u(d) = 2*d**2. Calculate q(u(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -429092 + 429090.299944. Let k = -28.7 + 27. Let b = k - d. What is b rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13750 - -9550. What is c rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 73 - 7 = -16*y, -4*r - 15 = -3*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the first derivative of 3*g**2\/2 + 1. Let k be v(-1). Let d = 10 + k. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 248 divide 146320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 32122 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 7*p - 60 = 0. Solve a - 2*y = -a + p, y + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 - b - 1. Let n(x) = 6*x**3 - 3*x - 5. Let t = -19 + 24. Calculate t*i(a) - n(a).\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) - 1*sqrt(153)*-2)\/(sqrt(144) + (sqrt(144) + -2*sqrt(144) - sqrt(144))).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1506, -1541, -1602, -1689?\n\"Answer: -13*o**2 + 4*o - 1497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, l: 4, p: 10}. Give prob of sequence pplh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 241 (base 6) to base 2.\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -3*c + 24. Let f be y(8). Is 5\/19 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 + -2*(-2757)\/(-2394). Let z = s - 4\/133. Which is the nearest to -2? (a) z (b) -1\/6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-48)\/9)\/8 - (-88)\/114.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*n - 789 + 1686 = -12*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -4 - v**2 + 13 - 6 - 3*v. Give l(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*m - 105 + 31*m**3 + 25*m + 95 + 53*m**2.\nAnswer: 31*m**3 + 53*m**2 + 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of w**3 + 3*w**2\/2 - w + 4. Suppose 9 + 15 = -4*f. Is 12 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2923 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -442415, -884831, -1327247, -1769663, -2212079, -2654495?\n\"Answer: -442416*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + o - 6 = 0. Suppose 62 = o*b - b. Suppose 0 = -2*w - 0*w + 5*h + 15, 0 = 3*w + h - b. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (180\/(-54))\/((-245)\/21). Suppose t*x**2 + 0 - 40\/7*x + 2\/7*x**3 = 0. Calculate x.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 76 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3\/5 + 152*i**2\/5 + 188*i + 1264\/5.\nAnswer: -(i - 158)*(i + 2)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2760 and 18423.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-6)\/18 - 2426\/(-6)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4190656 nanograms in grams?\nAnswer: 0.0000000004190656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 84 and 971754.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*y**5 - 2*y**4 - 63*y**3 + 15*y - 563.\nAnswer: 180*y**3 - 24*y**2 - 378*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4 (b) -4\/9 (c) -0.4 (d) -0.2484 (e) 3 (f) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 2*h**2 - 12*h - 12. Let p be m(9). Let g be (-2)\/(-7) - 1188\/p. Let o = -19 - g. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3806 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 9*a**2. Let s(x) = -5*x - 6. Let t(j) = 4*j + 5. Let g(u) = -5*s(u) - 6*t(u). What is g(n(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.61 + -0.81. Let f = 42748 + -42749.42081. Let q = f - s. What is q rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -12*g - 1. Let m = -40 + 39. What is z(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -46 - (-18 - (-7 + 23)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 9 + 258 + 1\/1 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**2 + 263166*n + 5771361963.\nAnswer: 3*(n + 43861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 - 6*o**2 - 9*o. Let i be l(-4). Suppose -4*q - 39 = -4*z - 7, i*q + 12 = 0. Solve 0*y = 4*y - z*u + 40, -4*y + 2*u - 28 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 2*t = 41, 6*t = y + t - 32. Suppose 2*o + 2*n + 3*n - y = 0, 0 = -5*o - 5*n + 110. Let j = -8 + 20. What is the remainder when o is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25, 164, 545, 1288, 2513, 4340?\nAnswer: 6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -9010, -8804, -8598, -8392?\n\"Answer: 206*u - 9216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**5 + 87*b**2 - 78*b**2 + 2*b**5)*(-96 + 10 + 1582 - 3062).\nAnswer: -1566*b**5 - 14094*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 11*w. Let h(d) be the second derivative of d**4\/12 + 202*d. What is t(h(p))?\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0\/(-46))\/14*3\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3248538248 to the power of 1\/2, to the nearest integer?\nAnswer: 56996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*t + 27*t + 53*t - 107*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of -41*p + 0*p**2 + 0 + 0*p**3 - 3\/20*p**5 + 3\/4*p**4. Factor m(j).\nAnswer: -3*j**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 2*l**2 - 10*l - 8. Let v be g(6). Which is the fourth biggest value? (a) 2\/15 (b) -1\/5 (c) 0.2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37526 and 66641?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35 - -35. Let g(i) be the second derivative of -7*i + 1\/3*i**3 + l + 0*i**2. Let v(x) = 5*x**2. What is v(g(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-190)\/48070*-92)\/(8\/(-6)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 1367775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/8)\/((-90)\/(-1080)). Let z = 10 - 18. Is z greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2313683, -2313682, -2313681, -2313680, -2313679?\n\"Answer: k - 2313684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1427200539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 51478 to the nearest 100.\nAnswer: 51500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -476 - -425.6. Let p = -48.4 - f. Let u = -0.3 - -0.2. Which is the closest to p? (a) 0 (b) u (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -420723 (base 10) in base 7?\nAnswer: -3401412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1578 - -1562. Which is the fifth biggest value? (a) n (b) -0.3 (c) -2\/5 (d) -0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 116137854*j - 95633304 wrt j.\nAnswer: 116137854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-4\/29))\/s**12)**(3\/2))**(-7\/11) assuming s is positive.\nAnswer: s**(6783\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -91\/2108655 and -103\/93718.\nAnswer: 4217310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 466 and 4427.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31\/(2821\/(-104))*(-196)\/336.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = -163\/1578600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c**2*d**2 - 7*c**2*d*p*u + 15*c*d**2*p*u + c*d*u + 376*d**2*p*u + 6*d*p*u - 73 wrt d?\nAnswer: 4*c**2 + 30*c*p*u + 752*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2 + 9 - (5 + 3 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21390\/18 + 3 - 2\/(-3)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 14336\/11*f + 142\/11*f**3 + 2\/11*f**4 + 2944\/11*f**2 = 0 for f.\nAnswer: -32, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(1 + sqrt(539)))**2 + (sqrt(11) - ((sqrt(33)\/sqrt(3))**2 + 3))*-2.\nAnswer: 222*sqrt(11) + 8668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 35319 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -237580, -475161, -712742, -950323, -1187904, -1425485?\n\"Answer: -237581*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-10))\/(104\/208)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -4\/49365 and 167\/98730.\nAnswer: 98730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, -6, -48, -128, -258, -450, -716, -1068?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/10247670 and -139\/396.\nAnswer: 225448740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -259199.\nAnswer: 1\/259199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 + 7*s. Let h be q(-6). Suppose 2*a - 158 = -62. Calculate the remainder when a is divided by ((-1)\/3)\/(h\/234).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 31*y - 43536 = -343212. Is 226 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 85, 173, 261?\n\"Answer: 88*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 23*c. Let y(i) be the first derivative of -8*i**3\/3 + 143. Give y(b(l)).\nAnswer: -4232*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -33 - -29. Let a be (-1)\/x + (-11)\/44. Suppose 6 = -6*t - a*t. Which is greater: t or -1\/56?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1153223992 is divided by 6617?\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 - 10. Let y = 0 - -2. Solve y*n - 2 = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 306719 = -233281. What is f rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 + 8.1. Let k = l - 2.1. Let n = 7 + k. What is the third biggest value in 4, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence du when two letters picked without replacement from {z: 3, o: 3, h: 3, d: 5, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 24 by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 5*s + 2*r - 32260 = 0, 4*r + 24162 = 3*s. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 39 (b) 0.38 (c) -1\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (14 - -2) - (-1400 - -1367)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 565 - 498. Calculate the remainder when 265 is divided by b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34446 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (804*v - 502*v**2 - 804*v)*(6 - 5 + 3 + 9).\nAnswer: -6526*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -428\/93, -40, -2\/7 in increasing order.\nAnswer: -40, -428\/93, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) -0.051 (c) -0.4 (d) -3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 116946997 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1568*j**2*v**4 - 6*j**2*v**2 - 10*j**2*v + 2*j**2 - 2*j*v + 238*v wrt v?\nAnswer: 18816*j**2*v**2 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -5859 (c) -1.026 (d) 3\/4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 279961 divided by 79.\nAnswer: 279961\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*a - 2*a**3 - 6*a**3 - 2*a**3 - 11*a**3 to g*a**3 + m*a + q + n*a**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -75.1810408015 take away 6?\nAnswer: -81.1810408015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1270 - -1332 - (92 + 4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 603989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16260784 divided by -16196.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2\/5 of a litre?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Solve -22 = 871*l - 882*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8335765 days to hours.\nAnswer: 20.005836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 60248 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 109*q**2 - 701*q - 364. Determine h(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -i**4 + 4 + 2*i + 0*i - 465*i**2 - 2*i**3 + 467*i**2 to the form l*i**2 + r*i + c*i**3 + x + o*i**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-352919\nAnswer: -70583.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.604851 millilitres?\nAnswer: 0.000604851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 314 + -328. What are the prime factors of 91\/((n\/84)\/(2\/(-4)))?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1599424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (7 - 4) + (-2)\/(-5) + (-33516)\/(-10). What is the highest common factor of c and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, o: 11}. What is prob of picking 3 e?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 114 - (-8373 + 8558)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 209, 492, 763, 1022?\n\"Answer: -6*s**2 + 301*s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3140 + 3141. Is s at least 14\/409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-50)\/(30\/(-84)*(-385)\/(-110))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -293*169\nAnswer: -49517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 66.10355766 + -0.10368966. Let s = z - 66. What is s rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 61053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 + 16*j**2 + 87*j + 5. Give d(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -247.00336 + 247. Round b to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-2)*(-3260406)\/19641.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2, 18, 60, 140, 270, 462, 728?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 100 (base 5) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 7\/2, 0.3, -48, -166, 38, 4\/7?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/20*(-138*10\/(-120))\/(-3)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 19361722138?\nAnswer: -19361722138.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 155083 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 86674 divided by 1057?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 68957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/6*(-16)\/14. Suppose l - 5*l = 4*t + 4, 4*t = 3*l + 38. Let k be 1\/2*l\/(-1). What is the third smallest value in 2, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10*j**2 - 7*j + 216?\nAnswer: -20*j - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 117269 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 12 = 2*l - 3*r, 14 = 3*l + 2*r. Let g = 50 - 29. Let d be (-4 - (-120)\/g)\/((-2)\/(-7)). Solve -s = l*s - d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*w + 0*w - 35 = 0. Let r(b) = -2*b + 1. Let v be r(w). What are the prime factors of 1289\/v + (-8)\/44?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/2 - 20\/(-8). Suppose 12 = 8*l - o*l. Let f(p) = p**3 - 5*p**2 + 4*p + 1. Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2\/9*j**2 - 8\/3*j - 8 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((0\/(-1))\/(-3))\/(-2). Let p be 9*(-1)\/6*-2. Suppose -17*j + 225 = 8*j. Solve -3*l + j + p = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -k**3 + 24*k**2 - 125025*k + 72193875 wrt k?\nAnswer: -3*k**2 + 48*k - 125025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36 - 36 + 3282*p**2 - 3283*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 1317884.\nAnswer: 527153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(-3) + (-122)\/6. Let j = y + 37. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2652 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 63 by 19.\nAnswer: 63\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, 5\/4, 66, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -6*a**3 + 2*a**2. Let b be x(-2). Suppose -6*s - 56 = -10*s. What is the greatest common divisor of b and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 3 = -4*a - 13, -y + 12 = -2*a. Let q be (-3)\/6 + a\/(-2). Determine u so that -3*u + 4*u**3 + u - q*u**3 + 4*u**2 + 4*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -88868 or -89264?\nAnswer: -89264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 8460 = 9*m. What are the prime factors of m?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 3*p - 10 = 0, 0 = -5*l - p + 20 + 5. Suppose -3*d - l*b + 5 = -9, -2*b + 20 = 3*d. Let k = 9 - 3. What is the lowest common multiple of k and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -4*i + 88. Suppose -58 = -5*f + 22. What is the lowest common multiple of i and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10760920 (base 10) in base 16?\nAnswer: a432d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 8*s**2 + 64*s - 102. Calculate u(4).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -36 - (115 + -123 + (15 - -1))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 115 = -350. Does 31 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122 - 2021?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3934*k*t**3 - 35587*k*t**2 - 672152250*t**3 wrt k?\nAnswer: -3934*t**3 - 35587*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1402512 less than 12679.6?\nAnswer: 1415191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2316292776.\nAnswer: 2, 3, 7, 487, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 30\/4*(-56)\/(-70)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.1 + 1.1. Let q = 27 - 18. Let j be -12 + q - (-58)\/20. Which is the second smallest value? (a) o (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 30739 and 17193?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*w + 81525 - 82713 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -112831497 or -112831498?\nAnswer: -112831497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + 2000?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0.253 (c) 0.4 (d) 60\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-82)\/(-6) + 2\/(-3). Suppose 0 = -h*x + 11*x + 316. Let p = x + -98. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 112 and 3318?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -7.7349022 to 1 decimal place.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 5, y: 1, h: 4}. What is prob of picking 1 y and 3 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o - 4*o**2 + 7 + o**2 + 8*o**2 - o**3. Let b be k(5). What is the third derivative of 6*q**3 + 3*q**2 - b*q**3 - 2*q**2 wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1345, 1356, 1365, 1372?\n\"Answer: -i**2 + 14*i + 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(96) - (5*-1*sqrt(96) - sqrt(96)))*-1)\/((sqrt(24) + sqrt(600)*1)\/sqrt(2)*-4).\nAnswer: 7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/42)\/(2 - 3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -20, 0.07, 10317?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 PM and 10:58 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*-2*6)\/(sqrt(11) + (sqrt(132)\/(1*sqrt(12)) - sqrt(11)))*-6*3.\nAnswer: 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3\/(-5) + 8\/5 - -44. Let j = 46 - o. Let y(g) = -3*g + 1. Let f be y(j). Is f less than -13\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**3 + j**3 - 2*j**3)*(906125 - 877*j - 906125) - 5*j**4 + 5*j**4 - 2*j**4 + (-j + j**3 + j)*(-4*j + 3*j - j) + 0*j**4 - 2*j**4 + 3*j**4.\nAnswer: 874*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38396372 is divided by 1189?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -276 - -280. Suppose 5*p - 30 = -5*w, 13*p - 11*p = h*w - 48. Solve -5*g - w = -5*v, 0*v - 5*v = g - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2*a**2 - 9*a + 9. Let m(n) = n**2 - 4*n + 4. Let h(x) = 4*j(x) - 9*m(x). Let r(i) = i**2 - 12. What is h(r(w))?\nAnswer: -w**4 + 24*w**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 4*o = -0*o, 10 = 2*n - 2*o. Let v(f) = f**2 + 13*f + 10. Calculate the smallest common multiple of v(-13) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (78\/(-15) + 2)*(6 - -34). Let c = n + 297. What is the remainder when c is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*d = -246*d + 65 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2128 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**4 - 38*l**3 + 383*l**2 + 14136*l - 138384.\nAnswer: -(l - 12)**2*(l + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be -29 - -1*(2 - 1). Suppose -7 = -g - 2*u, 3*u - 14 = 2*g + 7. What is the units digit of (1 - g - f) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 6*d - 6. Suppose -i = -t, -d*t = 3*i - 0*i - 20. What is the greatest common factor of 12 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 299313258 to the power of 1\/2, to the nearest integer?\nAnswer: 17301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*c - 2)*((0 + 1 - 4)*(3*c - 6*c + 2*c) - 2 + 1 + 3 - c).\nAnswer: 4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 196 and 1468?\nAnswer: 71932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -258930 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2101757372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -0*i. Suppose 8*w - 3*w + 4*q = 44, i = -5*w - 3*q + 48. Suppose 3*a - 72 = -w. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-289)\/84 - (-160)\/48)\/((-6)\/(-4)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9708.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f - 3. Let q be t(5). Suppose 11*s = q*s. Let n = s - -2. Which is smaller: n or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n**3 + 0 - 7 + 7*n**3 + 7 + 9*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1184, 204, 1626, 3082, 4572?\n\"Answer: 17*l**2 + 1337*l - 2538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 21 - -2. Let x = p + 43. Round x to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -34027*j**4 + 8982*j**3 - 2*j + 117698509 wrt j.\nAnswer: -408324*j**2 + 53892*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5*(-7)\/(-175) + 11\/(-105). Let p(w) be the first derivative of 2\/7*w**4 - 1\/7*w + m*w**3 + 1\/21*w**6 + 1\/5*w**5 - 4 - 1\/7*w**2. Factor p(c).\nAnswer: (c + 1)**4*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -695.98 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 4*k + 3. Let h be i(3). Let x be ((-12)\/h)\/((-4)\/50). Solve 2*b = 4*b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.69 + 0.72. Let p = 1 + 1. Let m be -1 - 1*1\/p. Put b, m, -2\/7 in increasing order.\nAnswer: m, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14361 or 14363?\nAnswer: 14361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 491198900 to the nearest integer?\nAnswer: 22163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 - (-1495 + 1505)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o\/o**(6\/7))\/(o*o*o\/o**25*o)*(o**7*o)**(-1\/44))**(-3\/13) assuming o is positive.\nAnswer: o**(-408\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*j**2 + 3*j**2 + 151 - 192 to i*j + l*j**2 + z and give z.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -90 + 89.8. Which is the nearest to -1\/3? (a) 0.5 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k - 3*k**4 + 2*k**4 - 2*k**4 + (0*k**2 + 0*k**2 + 2*k**3)*(-2*k + 4*k - 4*k) - k**3 - 3*k**4 + k**3 + (-2*k**2 - 1 + 1)*(2*k**2 + 7*k**2 - 5*k**2).\nAnswer: -18*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 8 = -3. Let y be 6\/2 + (w - -5). Solve 4*j + 4*v = 36, -y*j + 13 = -2*j - 3*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 + 4*z**2 - 7*z + 2. Calculate c(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 AM and 9:15 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of y**6\/30 + 3*y**5\/20 + y**4\/12 - y**3\/2 - y**2 + 6*y + 6. Let h(n) be the first derivative of a(n). Factor h(b).\nAnswer: (b - 1)*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((((sqrt(8)\/sqrt(4) - sqrt(2)) + -2 - sqrt(2))**2 + sqrt(2))*1 - (-1*sqrt(32) - (sqrt(64) - sqrt(16))\/sqrt(8))).\nAnswer: 2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*c**4*q**2 + c**4*q - 3114053*c**3 + 16446*c**2*q + 3116*q**2 wrt c.\nAnswer: 120*c*q**2 + 24*c*q - 18684318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -6*g + 6. Suppose 0 = 3*a + 5*d + 35, -31 = 2*a + 3*d - 9. Does 9 divide k(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*w, -4*o - 4*w + 492 = 168. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/9 + -1)*2\/10*(-103740)\/1976?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1050 (base 11) to base 8.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -8958126 greater than -8958127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24*h**3 - 271*h + 271*h + (3*h - 4*h + 2*h)*(5*h**2 + 0*h**2 - 4*h**2) to the form g*h + z + s*h**3 + u*h**2 and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 65663 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -625 - -674. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -16*s + 98. Let a be 8*(-21)\/(-2)*(-2)\/(-28). Let c be h(a). Solve c*x + 37 = 41 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3 + 1530*y**2 + 24096*y + 95872.\nAnswer: 2*(y + 8)**2*(y + 749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -4*c**2 + 21*c**2 - 2*c**2 + (1 + 5 - 4)*(c**2 + 2*c**2 - 4*c**2) in the form m + y*c**2 + v*c and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-9))\/((-7)\/56*4\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -378 + 1552. Is u\/(-3)*51\/(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 + 18*o**2 + 45*o. Let a be x(-3). Solve 51*t - 45*t - 12 = a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-20)\/(-3 - 68\/(-24)). Let d be (-4)\/6 - l\/(-234). Put -0.5, d, 0.4 in decreasing order.\nAnswer: 0.4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2 - 3 = 0. Find the first derivative of 3*o**2 + 3*o**2 + 0*o**2 - z wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 24*p - 26*p, -f - p = 157. Let z = f - -296. Calculate the remainder when z is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -10)\/((-8104)\/12156)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-7\/5)*i*(((i*i**(-1\/10)*i*i)\/i)\/i)\/i*i*((i*i**(-1\/3))\/i)**(-1\/15))**(-1\/29) assuming i is positive.\nAnswer: i**(-47\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from xdzzxbgzzxzxbzzz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 11439 = 5*h, -6*l + 8 = -2*l. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.12 * -831.8\nAnswer: 99.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 1419*a**2 + 4*a. Let f(x) = 2*x. Calculate t(f(g)).\nAnswer: 5676*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 28 = 4*k, -7 = 2*q + 4*k - 19. Suppose -2*r = q*r - 13188. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48, 119, 214, 333, 476?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2221397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d**4 - 225045*d**3 + 450099*d**2 - 225051*d = 0. Calculate d.\nAnswer: -75017, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -6, 3 in descending order.\nAnswer: 3, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 123 + -79. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*c - 97 = 151 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -104 - -104.0057. What is p rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j**2 - j - 2. Let x(r) = 9*r**2 - 2*r - 3. What is 3*x(u) - 5*y(u)?\nAnswer: 7*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -12 (base 3) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) 4\/5 (c) 1104 (d) 113 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 14 - 38 = -3*c, b + 4*b = 8*c + 4*b - 157 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 - 10*p. Let n be i(-8). Suppose -2*w - 2*w = -n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -32.918 + -0.082. Let z = o - -31.96. Let i = z - -0.04. Is -5 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 496*b - 480*b - 3*b**2 + 0*b**2 + b**2 + b**2. Let l(a) = -a**2. Give x(l(n)).\nAnswer: -n**4 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 86, 297, 664, 1199, 1914?\n\"Answer: 2*b**3 + 66*b**2 - b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1276493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002978 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6*(0 - 20\/(-6)). Suppose -l + o = 4*l. Suppose l*u = -4*z + 3*u + 1559, 5*u = 2*z - 807. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o - 12 = -498. Let k = -34 - o. Calculate the highest common factor of 188 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 + 10. Suppose -2*b = 0, v*b + 48 = -6*f + 3*f. Let h = 49 - f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, k: 5, x: 5}. Give prob of sequence xa.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5623784443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*a**2 - a**2 + 3*a**2)*(a**2 + 3*a**2 - 2*a**2) - 253 + 253 - 2*a**4 to the form v*a**2 + o*a + m*a**4 + h + w*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 4 + (5*-5*sqrt(343))**2.\nAnswer: 214374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 56960511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f**3 - 3 + 4 + 0*f**3 + (-4 - 1 + 3)*(-2*f**2 - 2*f**3 + 2*f**2) + 2*f**3 + f**3 - 2*f**3 - 26*f**3 - 55*f**2 + 55*f**2.\nAnswer: -23*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of 28*n + 0*n**3 + 0*n**4 + 0*n**2 - 23 - 6\/5*n**5. Differentiate l(a) wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 d when four letters picked without replacement from jjjdjdjjdjjdjjjjjjj?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -5*n + 90. What is the highest common factor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -3*q + 960, -43 = 5*q - 3. What is the remainder when d is divided by 201?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 3*s - 6. Suppose 2*h = 2 + s. Suppose -5 = -h*k + 7. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 - j. Let z be t(-1). Suppose z = 4*h - 115 + 43. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:01 PM and 4:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9 - 4. Suppose 6*i - 2*i + 98 = d, o*d - 90 = 4*i. What is the smallest common multiple of 8 and ((-6)\/15)\/(1\/i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 896*j = 911*j - 30. Let t(f) = f**3 - f**2 - f + 4. Let p be t(0). Solve d = -p*c + c - j, -d = 5*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 3 - 13. Suppose 9 = w*v + 5. Calculate the greatest common divisor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wcci when four letters picked without replacement from cciwccciiccicc?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 87 = -27. Let j = -11 + v. What are the prime factors of (-130)\/((-2 + j - -2)\/1)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2854455, 5708909, 8563363?\nAnswer: 11417817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and -184640602.\nAnswer: 369281204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 479*d + 246 with respect to d.\nAnswer: 479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 - 18*o**2 + o + 10. Let c be q(18). Find the common denominator of -87\/4 and (-142)\/c*(-14)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -409566883+1\nAnswer: -409566882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 334118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from jldkjpkm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -8 (b) -4\/5 (c) -72.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 353719.\nAnswer: 17, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -61523.16359 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000125624 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 106853672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 35 + -50. Let p = -1 - s. What is the remainder when p is divided by (-2*1)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - 3 - ((-3381)\/245 - (2 - 17))*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + 10. Let n = 60.3 + -65. Let a = 0.3 - n. Sort 4, c, a in ascending order.\nAnswer: c, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.132 + -0.168. Which is the closest to 0? (a) 5\/3 (b) 5 (c) z (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 4 = 0, 13 = a + 5*h + 1. Solve -a*j = 2*b, 3*j = -0*j - 4*b - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qsqsqsssvsvvqs. What is prob of sequence qqvs?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j + 4. Let s = 7 - 3. Give d(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1594512 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -40.64 * -1122.12.\nAnswer: 45602.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = p - 4*j, 189 = 4*p - 3*j + 206 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -5*a**2 - 4*a - 2. Let i be 0*(-3)\/9 - -17. Let u = i + -8. Let n(k) = -11*k**2 - 9*k - 5. Give u*s(x) - 4*n(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18840293957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.46 - 2774.\nAnswer: -2775.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 327 + -47. Is ((-1)\/2)\/((-4)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1516466.\nAnswer: 2, 7, 19, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2251285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1146 + 46?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006507283 rounded to 4 decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 98, 79, 60, 41, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12714603 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: What is 11468312 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: Let f(g) = -13*g - g - 6*g + 3*g. Let d(r) = -3*r**2. Calculate d(f(j)).\nAnswer: -867*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Total of 17094170956.6 and -148.\nAnswer: 17094170808.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -3 (b) 86\/7 (c) 6 (d) 4 (e) 65\/6 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -8*w - 1. Let j be s(2). Let x = j - -24. Suppose x*q - 132 = 3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(((-28)\/(-42))\/(-2 - 0)). Is (-9666)\/(-10) - x\/(-15)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 259 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**14*g**6)**(-16) assuming g is positive.\nAnswer: g**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 - 2*h + 0)*(1 - 2 + 6) - 2*h + 3*h - 3*h)*(3*h + 3*h - 3*h) in the form m*h**2 + z*h + s and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f - 6. Let h(y) = -y - 7. What is -4*d(i) + 5*h(i)?\nAnswer: -i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1013048562 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 673789848, 673789849, 673789850?\nAnswer: 673789851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -2*d + d. What is the remainder when 94 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uvcucck. Give prob of picking 1 v and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21663*c + 390 + 5550*c - 390.\nAnswer: 27213*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 307*i**2 + i + 11. Let w(v) = -204*v**2 - v - 7. Let p(f) = 5*r(f) + 8*w(f). What is the second derivative of p(b) wrt b?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pjjjtappaa. Give prob of sequence ata.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -136 + 7 - (276 + -268).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 293200 (base 10) in base 12?\nAnswer: 121814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 4*b - 3. Let o(c) = c**2 - 19*c + 66. Let d be o(14). Suppose -15 = 7*a - 4*a. Let y(m) = -4*m + 2. What is a*y(s) + d*t(s)?\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 678 in 3, 5, -556?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 6492, 15571, 24646, 33717, 42784?\n\"Answer: -2*u**2 + 9085*u - 2591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 28 = -22. Let v = h - 21. Solve v*w - 33 = 5*u, -u - 15 = -3*w - 2*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, 4\/3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 + 54125?\nAnswer: 54134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*a**2 + 16*a + 3*a**2 + 2*a**2 - a**2 - 124*a to the form o*a + i*a**2 + x and give o.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 42290 less than 0.04?\nAnswer: -42289.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 + 20*d. Let p(f) = -2507*f. What is p(a(v))?\nAnswer: -2507*v**2 - 50140*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 32189.72 weeks in seconds?\nAnswer: 19468342656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 3 (b) -11230 (c) -130 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16\/(-108)*(-210627)\/538?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 + w - 1. Let z be (11\/3 - 3) + 17\/(-3). Calculate s(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -c067 (base 15) to base 12\nAnswer: -1b5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23.5 - 23. What is the second biggest value in 1, 32, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -859*w - 1714. Determine f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1\/3, 0.042, 2, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3068 and 28.\nAnswer: 21476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 1327212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4 + sqrt(304) + 5*(2 + sqrt(304)) - 3*(sqrt(304) + -1 + sqrt(304))*2)**2.\nAnswer: -3840*sqrt(19) + 45376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 99*l - 1339 = 280*l + 1195 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 93014?\nAnswer: 2, 46507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o**5 - 55208*o**4 - 55228*o**3 + 220832*o**2 + 220848*o = 0. What is o?\nAnswer: -2, -1, 0, 2, 13803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -177 in -2\/7, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/(-1) + (234 - 254)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/(35\/24))\/((36297\/(-3052))\/(-111)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -3190110000 to the nearest one million.\nAnswer: -3190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 6*a**2 + 7*a - 7. Let r(g) = 3*g**2 + 4*g - 4. Let j(w) = 4*c(w) - 7*r(w). Let l(k) be the first derivative of -21\/2*k**2 + 0*k + 199. Give j(l(n)).\nAnswer: 1323*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 2 = 5*o + 74, 3*o = -4*w - 64. Let g = o - -20. List the prime factors of ((-14)\/g - 0)\/((-3)\/210).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(275) + 5 - sqrt(275)) + 2)**2.\nAnswer: -280*sqrt(11) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -820*q**2 + 56316*q - 56316*q.\nAnswer: -820*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - 3. Let x(m) = -m**2 + 1. Let k be x(1). Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - -1239981.942.\nAnswer: 1239985.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2475 is divided by 795?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 24458 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h*h**(-1))\/h**0)\/(h**(1\/16)*(h\/(h**(1\/13)*h))\/h))**(-1\/7) assuming h is positive.\nAnswer: h**(-211\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5398 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 206049276?\nAnswer: 2, 3, 167, 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 30.18 times -1994?\nAnswer: -60178.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, -0.4, 10.04, 127?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l**2 - 5*l - 3. Let p(u) = 3*u**2 + 28*u + 9. Let a(n) = n**2 + 12*n + 4. Let r(y) = -5*a(y) + 2*p(y). What is 4*r(i) - 3*z(i)?\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-3)\/(-2))\/((-6)\/(-4)). Let m(o) = 4*o**3 - o**2 + 1. What is the least common multiple of 16 and m(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes before 9:25 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -43.6 - 4.4. Let q = i + 51. Let n = 0.7 - -0.3. Which is the smallest value? (a) -5 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (19053*n - 39305*n + 10202*n)*(-n + 5*n - 5*n) in the form g + i*n + u*n**2 and give u.\nAnswer: 10050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4367 is divided by 1451?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = -13*w - 17*w + 33*w + f, 44 = 2*w + 5*f - 7*f for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.2 and 2.954.\nAnswer: 3.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2.4 times 18\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -206 - 0.96.\nAnswer: -206.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.249 and -0.3004.\nAnswer: -0.0747996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -735617 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.37*-0.04069\nAnswer: 0.0150553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from diiddidiiddhii. What is prob of sequence di?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 786908 (base 13) to base 5\nAnswer: 1211423000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*z**3 - 168790*z**2 - 284731776*z + 570138912.\nAnswer: -(z - 2)*(5*z + 16884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -3*q**3 + 20832*q**2 + 21962892*q + 43842432 = 0.\nAnswer: -928, -2, 7874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (19 + 0 - (-116 - -137)) + (-1 - 70 - 1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -l - 3*c - 0, 5*l - 5*c = 95. Suppose -3*t - 3*n + 45 = 0, -t + 2*n + l = 4*n. What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l + 11 = 3*i, l - 12590*i = -12588*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 - 2 - (-2 + 1). Let r = 95 + -94.7. Are r and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*z - 1851 = 0, -y - 5*z + 1864 = -11. List the prime factors of y.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j**2. Let z(s) be the third derivative of 7*s**4\/12 + 16*s**2. What is z(y(x))?\nAnswer: 56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 + 6*m**2 + 6*m + 6. Calculate the remainder when x(5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2899)\/136253*2*1\/3*(-2)\/4?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 6, 569, -4, 0 in decreasing order.\nAnswer: 569, 6, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85663.\nAnswer: 17, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/35 and -67\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 - 13*o**2 - 15*o - 41. Let x be l(-12). Let z = 13 + -20. Which is the third smallest value? (a) -0.4 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/15)\/(1\/(-5)). Solve 0 = -3*c - 5*h + 6, 0*h + a*h = 2*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 3*r + 221 = 0, 5*f + 4*r = 2*r + 278. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 23*w. Let h(j) = -13*j**2 - 7*j. Let a(c) = -7*c**2 - 4*c. Let l = 56 + -28. Suppose 0 = -u + 24 - l. Let g(k) = u*h(k) + 7*a(k). Give d(g(z)).\nAnswer: 69*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + 7 + 4 + 3 + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes before 12:35 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 5, -9, -3, 0 in decreasing order.\nAnswer: 5, 4, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 5547664333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126 = 4*j - 2*q, 3*j + 5*q = 8*j - 150. Suppose 7*p - 5*p - 22 = 0. What is the greatest common divisor of p and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 2, 0, -196?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -29 + (8 - -1) + -1 + 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 0.4 (c) 16 (d) 3\/4 (e) -32410\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -117*t + 108*t + 2 + 3*t**2 + t**3 - 8. Calculate a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o - 5*q + 22 = 0, -16 = -o - 5*q + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be 500\/(-8)*(-16271360)\/(-16). Round a to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25606760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 195130870?\nAnswer: 2, 5, 11, 1773917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 82 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 137\/18 and 83\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/4 + 27155*x\/2 + 814425\/4.\nAnswer: (x + 15)*(x + 54295)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d*d*d**(-7)*d*d**(-1\/2)*d assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-60)\/18)\/((-2)\/3). Suppose -t*f - 33 = -78. Calculate the highest common divisor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12262 is divided by 261?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does -2\/15 = -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 + -222212100201010?\nAnswer: -222212100201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n**2. Let u(r) = 15*r. Let x(a) = a - a + 2*a + 5*a. Let d(w) = 4*u(w) - 9*x(w). Determine d(g(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 20300000 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + 14 + (5 - (-3 + 8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-1\/2))\/p*(p\/((p*(p**(-1\/5)*p)\/p)\/p))\/p*p*(p**(-6)\/p)\/p**(2\/13) assuming p is positive.\nAnswer: p**(-839\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 5854.783 hours?\nAnswer: 21077218800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2 + 15*a + 14. Let c be p(-14). What is the remainder when 28 is divided by (c - -5)\/((-6)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 205434716?\nAnswer: 2, 167, 307537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(96) - sqrt(30)\/sqrt(5)*-6)\/(-2*((-2*sqrt(72) - sqrt(72))*-5 - sqrt(72))).\nAnswer: sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40493291, 40493280, 40493269, 40493258, 40493247, 40493236?\nAnswer: 40493225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 429 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 46 - 46 - ((-4)\/10)\/(5\/175).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -33*t + 8. Give q(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -11102200 (base 3) to base 4.\nAnswer: -302133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 91 and 5465460?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(175) + sqrt(175) + (0 + sqrt(175) - sqrt(175) - sqrt(175)) + -3 - 3*(2 + sqrt(175)))**2.\nAnswer: 180*sqrt(7) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by 11604.\nAnswer: -1\/2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -4*c - 3. Let o(v) = -9*v - 5. Let a = -23 + 16. Let q(l) = a*d(l) + 4*o(l). Is q(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2493 = -86*u + 6760 - 6157 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of 24*p**4 - 189*p**3\/2 - 1723*p. Find the second derivative of d(o) wrt o.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, a: 2, u: 1}. What is prob of sequence up?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 23312203 (base 5) in base 13?\nAnswer: 761b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 161 bigger than 161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30 and 780?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-18)\/(-540))\/(2\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1532327966 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(384)*3 + sqrt(24))\/(sqrt(96)\/(-4*sqrt(12))) + -4.\nAnswer: -52*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 - x + 1. Let r(y) = -y**3 - 11*y**2 + 6*y - 11. Let i(h) = r(h) + 6*v(h). Let m(d) = -3*d**2 - 3. Calculate -3*i(j) + 5*m(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c + 2*c**2 + 2*c)*(3*c - c - 7 + 0*c).\nAnswer: 4*c**3 - 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + v - 41 = 0, 0*v - 14 = -2*l - v. Suppose 15 = 5*b, 2*b - l - 3 = -2*n. Suppose 2 + 3 = -5*a. Sort n, a, -3 in decreasing order.\nAnswer: n, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-25)\/10*(-4)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2086 and 1267245.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 372 + -141. Let a be -21*(3 - 5 - -1). What is the highest common factor of a and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 308*a**2*l**3 + 29776*a**2 - 18*a - 462*l**3 - 2*l**2 wrt l.\nAnswer: 1848*a**2 - 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29618997 is divided by 270.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (168\/16*2\/(-3))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 217801688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -3*h**2 + 21*h + 2. Let i be g(7). Solve i*k - 2 + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 + -1 - (-20 + 22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -38 + 29 - -13 - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = -3*g - 229. Let w be -3 + (-3 - g) - 3. Suppose -2*y = -2*a + w, 0*y + 5*y = -25. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2, 5, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15260.693 - -15280. What is n rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5894?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m**4 + 73565*m**3 - 15*m**2 - 220685*m + 147130 = 0. Calculate m.\nAnswer: -14713, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 137 - 27. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8869 less than -4?\nAnswer: -8873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*h - 15*h = -x - 7, 0 = 2*x + 5*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t - 37494 = -2*o - 37496, -5*o = 4*t + 47 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 - -7) + (37 - (-6 + (-1 - -3))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3813.39 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -10*y - 58. Let f be a(-6). Let m(g) be the first derivative of g**4 + 2*g - 2*g**f + 1 + 0*g**3 - 2\/5*g**5. Factor m(c).\nAnswer: -2*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 5390*i - 854. List the prime factors of s(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 452 + -448. Solve l*s - 1 = -17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19 - -26. Let g = 0.19 - -9.81. Let q = g - o. Which is the second biggest value? (a) -1\/2 (b) -1\/12 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 420 - -4880. Calculate the greatest common factor of 53 and w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the second derivative of x**7\/1680 - x**5\/240 + x**3\/2 - 2*x. Let a(z) be the second derivative of j(z). Factor a(g).\nAnswer: g*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -2*u - 13. Let l(c) = c**3 + 3*c**2 + 6*c + 10. Let k be l(-3). Let w(q) = -q - 8. Let x(i) = k*w(i) + 5*m(i). Let y(b) = b. Calculate x(y(g)).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 73*z**2 + 7*z + 7. Determine h(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 3 + 3)*(2*p - 3*p + 2*p) + 11*p + 6*p - 26*p to n*p + r and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand m**4 - 3*m**4 + 0*m**4 + (0 + m + 0)*(-5*m**3 - m**3 + 4*m**3) - 2*m**4 + 3*m**4 + 0*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3896849 is divided by 216.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-12)*3 + -100. Let q = 143 + t. Find the second derivative of q*p - 64*p + 18*p**5 - 60*p**5 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q - 1 + 55 = t + 25, -66 = 2*t - 21*q for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207 is divided by 60.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 246938710.\nAnswer: 2, 5, 71, 347801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1166233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-5*sqrt(132) - sqrt(132))\/sqrt(12).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1236*o**2 - 1 + 1.\nAnswer: -1236*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 - 6*t**2 + 12*t + 17. Let x be r(-7). Which is bigger: -16 or x?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.05 and 12.11?\nAnswer: 12.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -377464330 rounded to the nearest one million?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -24*r. Let l(n) = n - 4. Let t(j) be the first derivative of -309*j - 9 + 150*j + 158*j. Let x(u) = l(u) - 4*t(u). Give i(x(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**5 - s**5 + 2*s**5)*(764 + 301 + 71 - 3 + 1 + 1 + (-5 + 4 + 3)*(4 + 2 - 4) - 1 - 1 + 0 - 1 - 1 + 0) + 0*s**5 - 3*s**5 + 2*s**5.\nAnswer: -1136*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -841, -841, -833, -811, -769?\n\"Answer: r**3 - 2*r**2 - r - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -31 - -47. Suppose -3*z - 28 = 2*g - g, 5*g - 4*z + 64 = 0. Let w = g + r. Sort 4, -4, w.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 3*j = -2*t + 14, -4*j + 32 = 5*t. Factor -1\/3 - f**3 - 1\/3*f**2 + 2\/3*f**t + f.\nAnswer: (f - 1)**2*(f + 1)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -269*d - 13689 = -42*d + 7195. Which is greater: -96 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 6:03 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 453*l - 261 + 261 + (-4*l - 2*l + 7*l)*(-3 + 2 + 3) + 2*l - 3*l + 2*l to the form t + m*l and give m.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p. Let d be n(-4). Let w(j) = j**3 - 5*j**2 + 5*j - 2. Suppose -5*i = -2*i - 9. Calculate the remainder when i is divided by w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = 5 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**3 - 10*h**3 + h**3)*(2 + 3 - 4) + 0*h**3 + 3*h**3 + h**3 + h**3 - 4*h**3 + 4*h**3 - 1 + 1 - 3*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-67 - 1)\/(-4) + -2. Suppose -6*p = -11*p + d. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 101430 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 442.1 - 442. Which is the fourth smallest value? (a) 2.3 (b) 4\/5 (c) -1\/3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.71 + 0.71. Let g = 1.97 + 0.03. Sort c, g, 0.1.\nAnswer: c, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30052263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 23806, 7, -46\/3, -5?\nAnswer: 23806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -19 - (-9 - (13 - (-17 + 7)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/2*(-310)\/2635.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 140\/1225 + (-8)\/70 + (-66)\/10.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 4060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 20 = -4*d, 6 = -5*d - 9. Suppose f + 3*y - 8 = m, -3*f - y + 16 = 0. Suppose 0 = 2*c - c - s + 5, 4*s = c - f. Sort 2, 3, c in ascending order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9101 <= 508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3*i - 487 - 5*i + 487. Let y(r) be the third derivative of -r**5\/40 + r**3\/6 + r**2. Let d(w) be the first derivative of y(w). Determine d(j(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4555110 - -135?\nAnswer: 4555245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -56775 by -5.\nAnswer: 11355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 2*a + 28. Let m be j(-8). Solve -4*o + 8 = 0, -m = 4*p - 3*o + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q + 4*j + 72 - 0, -2*j = -q + 22. Suppose -y - 1 - 2 = -2*w, -10 = 2*y - 5*w. Calculate the remainder when q is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*i**4 + i**4 + 2*i**4 + (2*i - i**2 - 2*i)*(-i**2 + 5*i**2 - 3*i**2) - 2*i**3 + 2*i**3 + 2*i**4 as m*i**3 + t + v*i + x*i**4 + u*i**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17815507033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5952*g = -5971*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*c + 13886 = -4418. Let v = -554 - c. What is the remainder when 72 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9*i**2*x**2 - 2199*i**2*x + 1634*i*x**2 wrt x?\nAnswer: -18*i**2 + 3268*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -60 * 78.\nAnswer: -4680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 487, 474, 447, 400, 327, 222?\n\"Answer: -h**3 - h**2 - 3*h + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r = -2*q - 6, 5*r = 5*q - 10. Suppose 2*y + 7*y - 9 = q. Solve -y = -4*u - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 2*l = 9. Suppose -i + l + 1 = 0. Solve -13 = -i*x - 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-7 - (-78)\/12). Let u(x) = x**2 + 5*x - 16. Let z be u(c). Which is bigger: -15\/13 or z?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3080 and 490.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 9*s - 21. Give a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from usnssxn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 74\/7 + 10\/(-1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6274759 to the nearest integer?\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -191 - 129 = -4*n. What is the greatest common factor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -6158*g - 24793.\nAnswer: -6158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -905*x**5 + 4*x**4 - 544*x**3 + 44035886*x**2 + 2 wrt x.\nAnswer: -54300*x**2 + 96*x - 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 579 is divided by (-3 - -2)*-111 - (42\/(-7) - -1)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - b = -2. Let c(v) = -3*v + 1. Let p be c(b). Is (-1)\/p*(-296)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/5 + 85854*z**2\/5 - 171714*z\/5 + 85858\/5.\nAnswer: 2*(z - 1)**2*(z + 42929)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -s**3 - 1223*s**2 + 1913*s.\nAnswer: -6*s - 2446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 87663712 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - 11) + 24 + -9 + -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2354*j + 2355*j - 5*c - 37 = 0, 35 = -j - 4*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 - 7*i**2 + 8*i - 3. Suppose 36 = -3*l - 3*d, 30 - 50 = 2*l + d. What is y(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*c**2 - 7*c + 185*c**2 + 5*c + 2*c.\nAnswer: 157*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -140913*p + 106051.\nAnswer: -140913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 4*v - 28 = 0, -33*h = -36*h - 4*v + 60. Solve -4*c = -z + h, c - z = 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.03 - -0.47. Let x be (-1 - -1) + (20 - 22). What is the nearest to 5 in x, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4810 and 9415094.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w - 1 - 5. Suppose -5*o = -p + w + 2, 8 = 2*p + o. Let k(j) = -j. Let v be k(-2). Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cqq when three letters picked without replacement from cqcqcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*g + 4 = 2, d + 14 = -4*g. Let w be (3\/d)\/((-1)\/(-12)). Let s be 39*((-6400)\/w)\/4. Round s to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 5) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {e: 1, y: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.081 + -47.919. Let h = 0.07921 + -48.35521. Let g = r - h. Round g to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4847 and 1179?\nAnswer: 43623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 46069.01 millilitres to litres.\nAnswer: 46.06901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 8592*n**2 - 4295*n**2 + 10*n**4 - 4296*n**2 + 8*n - 3 + n**3 + 2 - 3 as s*n + c*n**3 + v*n**4 + q + f*n**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 4)*(71 + 5844*k - 71 + 116*k).\nAnswer: -29800*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*h - 11425 = -63125. What is the remainder when h is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 11*y**2 - 282*y - 94. Suppose -131 = -4*x - 3*t, -5*x + t + 185 - 26 = 0. Calculate the remainder when x is divided by m(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 + 4 = -4*a. Let u = 131 - 131. What is the units digit of -1 + u + 23 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 85\/(-20)*6384\/(-31654) - (2\/(-7) + 0)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 7, 5, 742, -5 in ascending order.\nAnswer: -5, 2, 5, 7, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -258996 times 0.2\nAnswer: -51799.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*p, -5*x = -p - 94 - 100. What is the remainder when 374 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-114)\/(-72))\/(2*3\/18). Let w = 107\/4 + g. Let t = 25715\/18 + -1429. Calculate the common denominator of t and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 37 + -34. Suppose -d*v - 2*r + 329 = 0, -4*v - 5*r = -10*r - 454. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6933 and 30452047?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-7))**(-2\/3) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 57256 + 1963?\nAnswer: 59219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(112) + sqrt(7) + (sqrt(77)*3)\/sqrt(11) + -1 + 5.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*q + 10*x - 44 = 11*x, 0 = -5*x + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1586206 and -0.049?\nAnswer: 1586205.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, 4, -2\/5, 0.1, -0.1, 13 in ascending order.\nAnswer: -2\/5, -0.1, 0.05, 0.1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + f = -3*f - 2178, 4*m + f - 8763 = 0. Let d = 1360 - m. What is d rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 - -20. Let w(y) = 19*y**2 - 7*y - 26*y**2 + u + 3*y**3 + 3. Let a(n) = -2*n**3 + 4*n**2 + 4*n - 3. What is -7*a(v) - 4*w(v)?\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 124*k - 288*k = 198*k + 9774 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1786*q + 1793*q + 77 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i - 4*i + 2 - 2*i + 7*i. Let o be m(2). Let f(v) = v**3 - 7*v**2 - 8*v + 2. Let k be f(o). Solve p = -k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3*t. Let m(u) = 3*u. Let w(a) = -a. Let k(o) = m(o) + 6*w(o). Calculate k(z(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x**4 + 735*x**3 + 5310*x**2 + 12260*x + 9240 = 0 for x.\nAnswer: -3, -2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = 5*v - 17, -5*n = 4*v - 4 - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 7:40 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.8 + 2. What is the second smallest value in 1\/4, c, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4*b - h = -4, 0 = 3*b - h - 1. Suppose -2*x + 7 = -b. Let p(n) = -6 + 1 + n + 1. What is p(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 534037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/8*-3)\/((-124806)\/(-21472)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 12:21 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/220 and 83\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6 + 7?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 6:53 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 24.54086 to 2 decimal places.\nAnswer: 24.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-6\/5))\/(((f*f**11*f)\/f)\/f)*f\/(f*f\/(f*f**(2\/9)*f*f*f)*f)*f**10 assuming f is positive.\nAnswer: f**(154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 24.79592l in millilitres?\nAnswer: 24795.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 28*w**4 + 14*w**2 - 26*w. Let v(u) = -u**4 - u**2 + u. Let j(z) = 2*g(z) + 28*v(z). What is the second derivative of j(t) wrt t?\nAnswer: 336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16 - 20 + 3*i + 31 - 45*i**4 wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 103770*x = -103775*x - 31, -2*x = 17*r - 266 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 5\/2 (c) 41 (d) 142 (e) 5 (f) -5 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -25579, -25580, -25581, -25582?\n\"Answer: -d - 25578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8432089225091\/4804 - 1755222588. Let a = -3\/1201 + c. Find the common denominator of (26\/(-18))\/((-4)\/(-8)) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 12. Let h be (-28)\/6*(-9)\/6. Solve -s = -5*o + h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0024 + -138248890026?\nAnswer: -138248890025.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 11*p - 3*u - 40, p - 3*u - 1 = 0. Let g = 0 + 1. Suppose 4*m - 12 = 0, -3*a = m - 5 + 11. Put g, p, a in increasing order.\nAnswer: a, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3*(-3 - -2))\/((-9)\/(-12)). Suppose -o + 234 + 238 = 2*d, -o = -v*d + 932. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i**2 - 10164*i - 12913362 = 0 for i.\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -927709431 + -0.2453?\nAnswer: -927709431.2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -30 - -36. Let i = m - 6. Let x = 0.24 + -0.12. Put x, i, 4\/7, 5 in descending order.\nAnswer: 5, 4\/7, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*s - 111*s - 4 = -2*u, u + 2*s - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, 85, 198, 357, 562, 813?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -1*188\/(-60))*96\/(-112)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of -i**7\/1470 - 19*i**6\/840 - i**5\/14 + 24*i**4\/7 - 144*i**3\/7 - 140*i**2 + 4. Factor t(y).\nAnswer: -(y - 3)*(y - 2)*(y + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 105\/(-40) - (-6)\/8. Let q = k + 27\/8. Which is the third biggest value? (a) q (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2264*x + 64917 - 10581 = 0 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-4))\/b*b*b**(-5\/2)*b**(3\/5)\/(b\/(b*b\/b**(2\/5)))*((b*b*b*b**(-1))**(1\/10))**(-49) assuming b is positive.\nAnswer: b**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 53 (base 7) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -63829 - 19171. What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -7790 (base 16) to base 10\nAnswer: -30608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 10 = -3*o, 0 = -3*w + 8*w + 3*o + 2. Find the second derivative of -y - 92 - 74*y**2 + w*y - 12*y**2 + 13 - 51*y**2 wrt y.\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of 1\/3*z**6 - 1\/21*z**7 + 26*z - 5\/6*z**4 + 0*z**3 + 0*z**2 + 1\/10*z**5 + 0. Let o(s) = 0. Calculate s.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 553774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -39*c**4\/2 + 699*c**3 - 8316*c**2 + 32400*c + 5184.\nAnswer: -3*(c - 12)**3*(13*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 7 - 0 - (36 - (-39 - -63)) - 27\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -204830 - -204833. Let z = -0.2 + 0. Which is the nearest to -0.2? (a) -4 (b) m (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 10964 from 0.\nAnswer: -10964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*n + 59*n - 64 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 5*s**4\/2 + 192170*s**3 + 7384324135*s**2\/2 - 29551326590*s - 33243296490 = 0.\nAnswer: -38438, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 22471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - t + 5. Let a be j(0). Solve -4 = -g + a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3*(-3 + 33*-3 - -1). Let s be 1\/(-4) + -1 + x\/(-12). Which is smaller: 23 or s?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*v + 3*v + 60. Let f = v - -45. Let k be 1 - 1 - 6\/f. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((v**(-1)\/v*v*v)\/v**9)\/(v\/(v*v**2)*v)**(2\/3))**(2\/15))**(2\/9) assuming v is positive.\nAnswer: v**(-20\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 495, -158, -11.\nAnswer: -158, -11, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 242628016.\nAnswer: 2, 43, 71, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 295614 + -13?\nAnswer: 295601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + -1111b92?\nAnswer: -1111b8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 7*i**2 + 2*i**3 + 2*i + 146*i**4 - 3 + 146*i**4 + 3*i**2 - 285*i**4 in the form a*i**2 + x*i + m + l*i**3 + j*i**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 48 + 4*p**2 - 51 - 16*p - 3*p**2 + 25. Determine s(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5229 and 3906.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -118505\/22 + 5388. Calculate the common denominator of 27\/2 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -52 + 75. Suppose 4*g + 2*h + 4 - 2 = 0, g + 5*h + o = 0. Let m be 5 - ((1 - 238\/(-63)) + 12\/54). Solve z + g + 2 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00106176 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*h**3 + 3704*h**2 - 120998 wrt h?\nAnswer: 6*h**2 + 7408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -23. Suppose 0 = 3*o - l, -3*s + 0*o + o - 21 = 0. Let q = 7 - s. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c**2 - 1549*c**3 + 3*c**2 - 1502*c**3 + 4626*c**3 - 1515*c**3.\nAnswer: 60*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7082?\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 794 (base 11) to base 9\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -6*k + 45. Let n(u) = 7*u - 60. Let i(t) = 4*l(t) + 3*n(t). Let r(m) = -2*m**2 + 183. Determine i(r(b)).\nAnswer: 6*b**2 - 549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 20719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.185 * -46.616.\nAnswer: -8.62396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 255?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4779637 divided by -55?\nAnswer: -4779637\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 AM and 4:03 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 22149, 44690, 68031, 92574, 118721, 146874, 177435, 210806?\n\"Answer: 67*l**3 - 2*l**2 + 22078*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 39.2 and -124820.\nAnswer: -4892944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -33*k**3 - 1. Let h be c(-1). Let w(y) = 2*y**2 - 2*y - 1. Let n be w(-1). Suppose 0 = n*v - h - 25. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -2*q**2 + 2*q - 5. Let z(f) = -f**2 + f - 2. Let i(p) = -2*r(p) + 5*z(p). Factor i(h).\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the third derivative of -11*a**9\/252 + a**5\/6 - 20*a**2. What is the third derivative of l(b) wrt b?\nAnswer: -2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 58*c**2. Let i(m) = -m**2 - 3557*m. Calculate i(a(n)).\nAnswer: -3364*n**4 - 206306*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the second derivative of x**8\/56 - 4907*x**6\/30 + x**4\/3 - 13*x**3\/3 + x**2\/2 - 23*x - 84. Find the third derivative of v(b) wrt b.\nAnswer: 120*b**3 - 117768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -125*q + 213 = 73*q - 815 - 952 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*l + 2890 = 3*l. Let b = l + -280. What is the remainder when 61 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u - 3 + u + u**2 + 3*u - 3. Calculate the remainder when 10 is divided by k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -392 + 565. Suppose 3*p - u = -2*f, -4*f + 2*f - 2*p = -174. Suppose -3*g + 2*g - 93 = -2*t, 2*t - f = 2*g. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 222316 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5933082.\nAnswer: 2, 3, 307, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -5 and -613707196.83.\nAnswer: -613707201.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-r + 57 - 57)*((1 - 3 + 3)*(r + r + r) + 0*r + 3*r - 5*r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:21 AM and 3:11 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-20)\/130 + ((-35)\/(-2))\/(117\/342). Solve 77 = c*m - 62*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a - 74. What is f(27)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 AM and 9:37 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 3\/((-27)\/(-5))*1492\/3730\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -56? (a) -3 (b) 0.9 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vfgffffffgfgfff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 8*r**2 - r + 11. Let t(p) = 17*p**2 - 2*p + 24. Let h(k) = 13*s(k) - 6*t(k). Let v(x) = -2*x**2 + 2*x + 1. Determine 2*h(o) + 3*v(o).\nAnswer: -2*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**10)\/(q\/(q\/((q\/(q**(-11)*q*q)*q)\/q*q)))*q*q**(4\/11)\/q*q**5\/q assuming q is positive.\nAnswer: q**(-172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 156932.1 years in months?\nAnswer: 1883185.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 2 + 2)*(0*f + 2*f - 4 + 5)*(-13 + 1 + 2 + 0 + 1 + 1 + (-1 - 2 + 2)*(-4 + 6 - 1) + 1 - 1 - 1) in the form b*f + r and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (11 - 15)\/(1\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1286 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + (-7 + -14 - -18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -39, -83, -123, -159?\n\"Answer: 2*r**2 - 50*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (49\/(-2))\/((-1)\/2). What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -162436, -27 in descending order.\nAnswer: -5, -27, -162436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from nnjbnbbn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.5, -0.05, 5, 185 in descending order.\nAnswer: 185, 5, 3, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*j = 19*j - 368. Let y = 16 + j. Suppose 7*f = 2*f + y. Calculate the greatest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -23 + 24. Let w be 7\/(-9) + a + (-529)\/(-9). Let l = w - 38. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffxxfdxxxfxdf. Give prob of sequence xx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 a, and 1 s when three letters picked without replacement from kdkkskssssddsuda?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g - 5. Let b be (-5 - -3 - -3) + -9. Let m be h(b). What is the tens digit of 106 - (m - -1) - (1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -70a (base 12) to base 4\nAnswer: -33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -224, 0, 402, 1006, 1836, 2916?\n\"Answer: 4*f**3 + 65*f**2 + f - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 217 divided by 4\nAnswer: 217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2304\/2560*25\/(-6)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**3 + 15*g**2 - 53*g + 21. Let z be h(-18). Solve z*i - 2 = 5*i + 4*y, -5*y - 7 = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 596\/30 - (-7 + (-412)\/(-60)). Suppose -5*l - v = -6*l. Calculate the smallest common multiple of l and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 5, i: 1, b: 5, x: 5, p: 2}. Give prob of sequence ibbb.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j + 1. Let m(d) = 3*d + 4. Let f(z) = -z + 2. Let x(s) = -4*f(s) + m(s). What is 6*g(i) + x(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3535 a factor of 309775585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -t**4\/3 + 3*t**2 + 3*t. Differentiate p(x) with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 421*z. Let s(w) = 33919*w. What is v(s(t))?\nAnswer: 14279899*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11000111101011 + 11?\nAnswer: -11000111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g - 18. Let t be m(13). Let w(r) = 5*r**2 + 8. Let h be w(t). Does 29 divide h\/6 - 6\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 23905 and 0.011?\nAnswer: 23904.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -179*x - 102. Let q be z(-1). What is the third smallest value in q, 0.2, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -423 - -294. Let u = o - -134. Suppose 22 = -b - u*z, z + 8 = -z. Sort -5, -4, b in increasing order.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1)\/(-3))\/(5\/45). Let s be 12 - (-1 + 1) - 6\/(-2). Suppose s = 4*p + d. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -341258*b**3*l - 2*b**2 + 6214*b*l + 10*l wrt b?\nAnswer: -2047548*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 56974, 227884, 512732, 911518, 1424242?\nAnswer: 2050904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 - 0. Suppose -3*z + z + 4 = 0. Let o be (-5)\/((z - 0) + -1). Sort o, -1, w in ascending order.\nAnswer: o, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*m - 2*u - 1, -3*m + 3*u - 7 = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 125*s**2 - 380*s + 1. Determine i(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-y + y**2 + y)*(y**2 + 0*y**2 - 3*y**2) - y**4 + 3 - 1 - 3 in the form u + t*y**4 + r*y + h*y**2 + a*y**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (21\/(-49))\/((-48)\/(-56)*(34 - 44))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 13*c**2 - c + 1. Suppose -2 = -a - 1. Is 5 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = -5, n + 3*k - 15 = -2*n. Let o(w) = -w + 6*w + n*w - 4*w. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 divided by -44\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) 18559 (c) -133 (d) -3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, 5 in descending order.\nAnswer: 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1833\/(-2067624))\/(5\/240).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 35 - 23. Suppose -x + 150 = 128. What is the least common multiple of x and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/10)\/(1\/10). Let w = x + 11. What is the units digit of -1*-1*27\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the third derivative of -x**4\/24 + 170*x**2. Let w(g) = -15*g + 2. Calculate a(p) - w(p).\nAnswer: 14*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -493*i - 17. Let f(x) = -123*x - 4. Let s(d) = 2*a(d) - 9*f(d). Let u be s(1). Suppose -z + u + 207 = 0. What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -336, -328, -338, -366, -412?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3240077\/76 - -42632. What is the common denominator of (-210)\/(-36)*(-21)\/(-15) and i?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2237 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxooxxxxxxxoxxxxx. Give prob of picking 1 o and 1 x.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 28*h**2 - 3*h**2 + 11*h - 12*h. Let z be l(-1). Calculate the greatest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes before 4:42 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**2 + 5583616*n + 1948547977216.\nAnswer: 4*(n + 697952)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**2 + 4*t. Suppose 3 = -4*f - 5, -4*f = 4*k - 4. Let l be u(k). Solve 0 = 2*d + l*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10704.2 - -10704.19903878. Round z to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, 10, 0.8, 1\/59 in ascending order.\nAnswer: -3\/4, 1\/59, 0.8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7.903 + -103.622. Let m = h - -112. Round m to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2 = -2*m, -v - 29 = -5*m + v. Suppose -4*j + 3*l = -111, -2*j + m = 2*l - 47. Let a = j + -24. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 201*d + 84467 - 84467 + d - d + 2*d + (-2*d + 2 - 2)*(0 + 3 - 1) to the form x + r*d and give r.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3445546 is divided by 1006?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*i**3*q - 2461*i**3 + 167059*i**2*q wrt i.\nAnswer: -48*q - 14766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**2. Let p(w) = 1058*w. Calculate o(p(b)).\nAnswer: -1119364*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*h = 228489 + 224404. Does 108 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 + h - 2. Let n = 12 - 9. Let k be g(n). Solve 0 = s + 3*z + k, 0 = -z + 3*z + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 - 12*n**2 - 10*n + 9. Let y be s(-11). Which is bigger: 27 or y?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96.759 take away -6?\nAnswer: 102.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**3 + 7*j**2 + 9*j - 1. Let u be h(8). Let d be 3\/(-3)*u\/5. Let o = d + 26\/15. Sort -2, 0.1, o in ascending order.\nAnswer: -2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -147 - -246. Let p = 5 - 4. Let g be 11 + (-2 + p)*2. Calculate the highest common divisor of g and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of -w**6\/300 + 271*w**5\/150 - 9*w**4\/2 + 17*w**2 - 32. Suppose c(l) = 0. Calculate l.\nAnswer: 0, 1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2204 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - 9 = 5*j + 17, p = -3353*j + 3357*j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-7) - (-17)\/(-14). Let v = -50455 + 50453. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*1*(sqrt(84) - -1*sqrt(84)))\/(sqrt(12) + (sqrt(588) - sqrt(588)*-2) + (sqrt(24)\/sqrt(2) - sqrt(12))*-3).\nAnswer: -4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -4*f + 13. Let y be n(9). Let s = -14 - y. Is 3 a factor of s\/(-12) + 70\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*g + 0 + 0*g - 2 + g.\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4\/83, -2, 3, -2707\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 195185 a multiple of 515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a millennium in decades?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-81)\/(-63) + (-3 - 38\/(-14)). Suppose u - 4*r = -u + 10, -3*r + 42 = 4*u. Suppose -3*h + 4*h - u = -v, 3*h + c = v. Let f(d) = d - 10. What is f(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r - 7 + 15. Let i(b) = -b**3 - 3*b**2 + 6*b + 6. Let k be i(-4). Calculate the remainder when 2 + 41 + (r - k) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 30.6 + -29.6. Which is the nearest to -1? (a) p (b) -2\/7 (c) 1\/2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4 + 14*s**2 + 98\/5*s - 8\/5*s**3 = 0. Calculate s.\nAnswer: -1, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15 - (14 - 9)) + -14 + (0 - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 + -4.4. Let z = -12.331 - -12.1. Let f = 0.069 - z. Which is the smallest value? (a) -1\/3 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -168152 + 168176.59936. Let q = k + -24.6. What is q rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 11:21 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (13*f**2 - 11*f**2 + 80*f**2)*(-3*f - 3*f + 5*f) in the form m*f**2 + k*f + j*f**3 + u and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 3*v + 5*t, 0 = -2*v - 4*t. Suppose v*b + 268 = 4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of j**5\/20 + 13*j**3\/6 - 133*j**2\/2 + 85*j. Find the first derivative of o(u) wrt u.\nAnswer: 3*u**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -36 + 40. Suppose y - v*h - 56 = -y, 2*h + 112 = 4*y. Let u = y + -24. Solve -u*o = 5*z - 15, o + 0*o = -5*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 5\/28, 11, -2\/5, -2.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 11*k - 8*k. Sort k, 2, 0, 4 in descending order.\nAnswer: 4, 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - 5. Let i(d) = d**2 + 7*d - 7. Let u be i(k). Do 2\/13 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w - 2. Let h be x(-3). Let n(r) = 4*r. Calculate n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2932439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -s - 4, 5*o - 145 = 5*s. Suppose 4*t = 2*r - 40, -r + 1 = -3*t - 21. Let m = o - r. Solve -j - 3*j = m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3381 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 95894825 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Total of -8691.8 and -1020046.\nAnswer: -1028737.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 12 - (3 + -2 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 5:30 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2145, -2123, -2081, -2019, -1937, -1835?\n\"Answer: 10*u**2 - 8*u - 2147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, z: 2, e: 1, t: 4, s: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*f**4 - 2*f**4 - f**4)*(0*f - 4*f + 2*f) + (0 - 4 + 2)*(44*f**5 - 56*f**4 + 56*f**4) + f**2 - f**2 + f**5.\nAnswer: -91*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 84759034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2256*t**4 + 46*t**3 + 3387885*t**2.\nAnswer: -54144*t + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y + 2*y - 7*y)*(0*y**3 + 3*y**3 - y**3) + 2*y**2 + 2*y**4 - 2*y**2 - y - 2*y**4 + y + (0 - 2*y**3 + 0)*(-4 + 4 + 2*y) + 6*y**4 + y**4 - 2*y**4.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 2*b**3 + b**2 + b + 1. Let r = 12 - 22. Let h = -5 - r. Let q(f) = -f + 4. Let v be q(h). Let m(x) = -x**3 - x**2 - x + 1. What is v*n(g) - m(g)?\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -13704 (base 8) to base 16\nAnswer: -17c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*j**3 + 27*j**3 - 84*j**3 + 22*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - v + 1. Let a(s) = 447*s**3 - 2*s**2 + 6*s - 756. Let r(d) = -a(d) - 6*z(d). Find the third derivative of r(m) wrt m.\nAnswer: -2718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/(-4))\/(87\/232). Let w be 1*4 - (f - 4)\/(-7). Solve j - 4 = -k + w, 5*k = 2*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 + 84465860*c + 356724075276980.\nAnswer: 5*(c + 8446586)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 2768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*l**2*p - 8*l**2 + l*p + p - 6 wrt l?\nAnswer: 8*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -19 times 52.41\nAnswer: -995.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c + 11 + 21 - 71 + 12 + 21. Give x(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1*2)\/((-180)\/270). Solve 3*f + 8 + 1 = 3*m, 4*m = w*f + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9450 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1915746830.\nAnswer: 2, 5, 17, 11269099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, 7 in decreasing order.\nAnswer: 7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*y - 318 - 2. Which is smaller: 42 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 62*z + 11. Let l be p(-1). Let k be (42\/8)\/(l\/(-68)). What is the greatest common factor of 133 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3513 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/2? (a) 0.5 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 101600 and 41675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -207*c**3 - 22*c**2 wrt c.\nAnswer: -1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 905161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = -51 + 31. Let p = i + 23. Let j = -0.86 + -4.14. Which is the closest to p? (a) 0 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -299639*i - 2996394. Give h(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -31281221*f**2*n**3 + 3*f**2*n**2 - 2722044*f*n**2 wrt n.\nAnswer: -187687326*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1212555718?\nAnswer: 2, 11, 19, 2900851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 195\/260*16\/510\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = 2*f - 14, -84 + 118 = 3*t - 2*f. Calculate the highest common factor of t and 528.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 3*x**3 + 13*x**2 - 13. Let v(z) = -z**3 - 3*z**2 + 3. Let k = -5629 - -5623. Determine k*b(w) - 26*v(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/((h*(h\/((h\/(h*h*(h*h\/(h*h**(4\/11)))\/h*h))\/h))\/h)\/h))\/(h*h**(7\/3)))\/(h\/(h\/(h\/(h*h**(-9)*h*h)*h*h))*h*h**(-1\/5)))**31 assuming h is positive.\nAnswer: h**(-75547\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -30041 + 4311343?\nAnswer: 4231302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101 = -3*b + 2*j, -5*b - 22 + 193 = -4*j. Solve 38*d = b*d + 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -47, -57, -69, -83, -99?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**4\/k**(-3\/2))**(-2\/27))**(3\/28) assuming k is positive.\nAnswer: k**(-11\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0156 + -0.0156. What is the third biggest value in 2\/11, -0.4, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -3121051251?\nAnswer: 3121051254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of 1\/240*z**5 + 1\/32*z**4 - 1\/160*z**6 + 1\/840*z**7 + 0*z - 1\/12*z**3 + 0 + 2*z**2. What is g in u(g) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 - 4\/((-28)\/21))\/(-8). Suppose 4*c - 2*j = -7 + 3, 2 = -2*c + 2*j. What is the closest to c in -0.1, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2628990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1872)*3 - -2*(sqrt(1872) - (sqrt(1872) + 0 - sqrt(1872))**2).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/221 bigger than 613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/6*4\/6. Let m(i) = 4*i + 1 - 6*i - n. Let l(g) = 5*g. Calculate l(m(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 596 = -3*b, -2*b = -4*n - 124 - 250. List the prime factors of b.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (210\/50)\/((-6)\/(-5))*(-40)\/28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u**5 - 4201*u**4 - 178876*u**3 + 545412*u**2 + 88128*u = 0. What is u?\nAnswer: -272, -54, -2\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -330484, -660982, -991480, -1321978, -1652476, -1982974?\n\"Answer: -330498*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/74082 and -37\/33?\nAnswer: 814902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 855 is divided by 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 29109.6 to the nearest one hundred.\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*l + 503 - 4040 = -82*l + 2413 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f - 2. Let c be s(6). Suppose a + c*a = 30. Is 14\/(-21) + 1234\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4017, 8036, 12045, 16038, 20009?\nAnswer: 23952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/6)\/(42\/(-12) + 3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1948 - 1695. What is the lowest common multiple of 207 and v?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 15417 = t, 0 = 34*t - 31*t + 3*r - 46260. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -70*p**3 + 22*p - 8 + 8*p + 35 - 27 in the form w + o*p + n*p**3 + a*p**2 and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 583879.48 and -0.1?\nAnswer: -58387.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 337 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, e: 3}. Give prob of sequence oee.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 36, -111, -480, -1173, -2292, -3939?\nAnswer: -6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -7*b + 3. Let n(r) = 6*r - 2. Let x(l) = 2*m(l) + 3*n(l). Let k = -1 + 3. Let h(d) = -1 + 1 - d**k. Calculate x(h(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -360, -612, -740, -750, -648, -440, -132, 270?\n\"Answer: -p**3 + 68*p**2 - 449*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 3 - 1. Let s(o) = 3*o**2 - 1 - 2*o**2 + 2*o**3 + 36*o**3 + 0. What is the units digit of s(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 8 = -2*j, 0 = j - 21*v + 16*v + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 9311\nAnswer: 2\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the third derivative of -17*v**4\/12 + 7*v**3\/6 + v**2. Is n(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5103 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(8640)*2 - sqrt(8640))\/(2*sqrt(768)*1).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 z, 1 g, and 1 s when four letters picked without replacement from pfffzfzgftsgp.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11616617, -11616612, -11616607, -11616602?\nAnswer: -11616597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + -22. Let y = -21 - l. Suppose r - 127 = -y*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 177647485.9 to the nearest one million.\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 47 divided by -134\nAnswer: -47\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1232330 - 10?\nAnswer: 1232320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + a = -103, m = 4*a + 32 + 6. Suppose -c - m = -0*c. Let y = c + 38. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 15*n - 16. Let t(k) = k**3 - 3*k**2 - k. Let i be t(3). Let q(y) = -8*y + 8. Let x(p) = i*s(p) - 7*q(p). What is the units digit of x(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 662602?\nAnswer: 2, 331301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2.94 times 6.837\nAnswer: -20.10078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15327 + 15397.999. Let y = 70.8821 - -0.1179. Let v = y - u. What is v rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 9*y + 1. Suppose 12 = 2*n + n. Suppose m = n*m - 12. What is the tens digit of x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Factor -845*v**3 - 527608575*v**2 + 81170565*v - 3121945.\nAnswer: -5*(v + 624389)*(13*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 106 - 61. Let r = j + -30. Suppose -4*l = -1 - r. Solve l*q + 1 - 9 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 52900 and 176?\nAnswer: 2327600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 143 - 74. Suppose 2*j + 422 - 423 = 5*r, -2*j - 2 = -6*r. What is the lowest common multiple of j and x?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 31\/3*y**4 + 704\/3*y**3 + 16384\/3*y + 6656\/3*y**2 + 1\/6*y**5 - 65536\/3.\nAnswer: (y - 2)*(y + 16)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10730808 and 77418.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -17*b + 2. Suppose 3*g = -5*k + 28, 0*g + g - 2*k + 9 = 0. Let y(p) = p - 1. Let v(o) = g*n(o) + 6*y(o). Does 29 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.57 - -2.57. Let f = -0.9 + 1.9. Which is the biggest value? (a) f (b) 3\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/((-68)\/(-16) - 4). Let n be (-1)\/(-3) + 214\/6. What is the highest common divisor of i and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 933 + 1399 = -63*c + 316 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = 33 + 9. Let f(t) = 7*t - 24. Does 8 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -54*x + 5028. What is j(93)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -61174605 times -23?\nAnswer: 1407015915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 704885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-2) + (-3)\/(-6)*7. Solve -2 = -i*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 0 + -3424?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 339 and 6893.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*v - 143 + 161 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 + 10*h**2 + 8*h + 4. Suppose 0 = o + 9 - 17, 2*j - 4*o + 50 = 0. Calculate k(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 3*a - 12. Let u(d) = 2*d**2 + 2 + d**3 - 6*d - 1 - 1 - a. Let x(n) = -n + 1. Let v be x(5). What is u(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-53 - -30) + (16 - 7 - 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v - v - 3*v + (-3 + 2 + 5)*(-8 - 29*v + 8) + 4*v - 2*v - v + (1 - 2 - 1)*(-3 + 3 + 2*v)*(2 - 3 + 2).\nAnswer: -121*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 31554645 and 4239.\nAnswer: 283991805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -3*j**2 - 111*j - 480 = 0. What is j?\nAnswer: -32, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 313111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1785738 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - 8 - ((2 - 0) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/364 and 95\/416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 210234 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3882 - -5934. Calculate the highest common factor of l and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-2 - (4 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**1\/a)\/a)**(3\/16)*a\/(((a*a**0)\/a)\/a)*a\/(a**(3\/8)\/a) assuming a is positive.\nAnswer: a**(55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -4*w - 6. Let v be r(-2). Solve 0 = 3*z - 2*z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31631161 is divided by 936.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/(-72)*20)\/(28\/1008*18)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3417 or 331392\/97?\nAnswer: 3417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 921 + -915. Is y > 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p. Let i be -4 + 30\/(-120) + 14\/(-8). Let g(n) = 8*n + 14. Determine i*o(s) - g(s).\nAnswer: -2*s - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27*-3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7397878730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add 14.44 and 49.\nAnswer: 63.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(143\/26 - 4)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13093 - -13092.98. Is x greater than or equal to 578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 457 - 450. Let f(b) = 84*b**2 - b - 2. Let n be f(-2). Suppose -3*u = -k*u + n. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -29373 divided by -9791\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -13*c**3 + 490*c**3 - 179*c**3 + (2*c - c - 2*c)*(2*c - 3*c**2 - 2*c) + (2*c - 2*c - c**3)*(1 - 3 + 3).\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 101027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -2254 equal to -2255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.73103109 + 0.731. Round o to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 9\/(-11) + (2 - 1). Let y = 5510 + -5510. Factor y - h*f**2 + 2\/11*f.\nAnswer: -2*f*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 8399424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -258, -1821, -6062, -14319, -27930?\nAnswer: -48233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of h**4\/12 + h**3\/6 + h**2\/2 - 18*h + 4. Let w(y) = -18*y**3 - 36*y**2 - 36*y - 36. Determine 36*i(r) + w(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 6*f - 5*j + 85 = 0, 2*j = -5*f + 88. Let z be ((-10)\/(400\/255))\/(2\/f). Let g = 2861\/56 + z. What is the common denominator of 8\/9 and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n - 3*d - 6 - 8 = 0, -n + 2*d = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-one halves of a tonne in kilograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 2 + 12 - 29*x - 5 - 26*x**2.\nAnswer: -26*x**2 - 29*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + ((sqrt(220) + (sqrt(220) - sqrt(220)*4)*-2)\/sqrt(10))\/(sqrt(704)*-1 - (sqrt(99) + sqrt(99)*1)))**2.\nAnswer: 2*sqrt(2) + 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -30 + 119\/4. What is the closest to -1\/2 in -0.2, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + -1111011101011100000?\nAnswer: -1111011101011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -13*y**3 - 27*y**2 + 8*y - 8. Let r(h) = 7*h**3 + 14*h**2 - 5*h + 4. Let k(o) = 6*q(o) + 11*r(o). Give k(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 134 a factor of 29767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) 3772 (c) -68 (d) 0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 40*o - 25 = 44*o, -5*r - 3*o = 26. What is the closest to r in -0.4, 7\/12, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4607803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of -2*r + 0 + 2\/3*r**3 - 3\/2*r**2 - 1\/20*r**5 - 1\/12*r**4. Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p = 4*a - 3, -2*p - 9*a - 39 = -67 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 272 = 2*m + 320, 3*x - 60 = 3*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.158*-16.\nAnswer: 34.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*v + 4*v + 36*v.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1409 rounded to 3 decimal places?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from akyaayyokyo. What is prob of picking 2 k and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -13238148*x + 9311416.\nAnswer: -13238148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2774, 2773, 2772, 2771, 2770, 2769?\n\"Answer: -a + 2775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*q + 4443 - 2223 - 2220 + 8*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 + 0*n**3 + 5*n**3 + 10 + 0*n**3.\nAnswer: 5*n**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 9*i + 6. Suppose 5*f - 20 = -0*f. Let s be f\/(-6) + 48\/(-9). Is z(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 5*o + 2 - 4 = 0, -5*o = 5*l + 10. Let p = l + 5. Let h = p + 7. Solve m + m = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 160, 477, 996, 1711, 2616, 3705?\nAnswer: 4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -441*a**3 - 30*a**2 - 27*a + 1. Is z(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 21 - 12 - c**2 - 4 - 5 + 8*c - 4. Suppose 0*l = -3*l - 24. Let w = 16 + l. Calculate n(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6804 by 3.\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 9*a - 102. Let j be p(12). Let x(b) = 7*b**2 + 5*b - 2. What is the hundreds digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 211*d + 25 = 199*d, 3*v + 15 = 3*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-12\/7))**(-17\/2)*h\/(h\/h**(-23))*h\/(h**(5\/6)\/h*h) assuming h is positive.\nAnswer: h**(-347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2388 = -l + 2*f + 2*f, -l + 2428 = 4*f. Is l + 3 - (1 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -313*x**3\/6 - 1147*x**2\/2 + 105*x - 5. Differentiate g(t) wrt t.\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g - 5. Let h(c) = c**3 - c**2 - c. Let w(z) = 5*z**3 + 3*z**2 - 10*z + 16. Let x(a) = -4*h(a) + w(a). Let d be x(-8). Determine q(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1395 - -698. Let v = l - -712.6. Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 388 + -388. What is the biggest value in 4\/3, -0.01, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -10*s + 40. Suppose 0 = r - 2, -2 = -q + 3*r - 4. Let w be g(q). Find y, given that w*y**2 + 4\/9 - 2\/9*y**3 + 2\/3*y = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1388*t + 1010*t - 9450 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -194 <= -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Do -45379219 and -45379221 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes before 3:06 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, q: 13}. What is prob of sequence wqw?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 209 + -149. What is the remainder when 76 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes after 2:35 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*s**2 + 2*s + 13*s**2 - 38*s**2.\nAnswer: -36*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.87 and 12276.\nAnswer: 35232.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 - -16. Let q be -4 - (1 + -17 + -4). Suppose -3*z + l + q = 0. Calculate the highest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -114275 - 0.08633021.\nAnswer: -114275.08633021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -536 (base 12) in base 14?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 - 9*r + 13. Let t = -73 + 65. Let w be o(t). What is the second derivative of 10*z + w*z**4 - 65*z**2 + 32*z**2 + 33*z**2 wrt z?\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 474 by 6.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times 16?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13310 divided by 118.\nAnswer: -6655\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 277 is divided by 224.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2251924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Add together -361.5 and -3.\nAnswer: -364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 30*o - 21*o - 12*o + (-2*o + 2*o - o)*(0 + 4 - 2) - o + 5*o - 3*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.6 - 1.28. Let g = j + 0.08. Let w = -0.06 + 1.06. What is the smallest value in g, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -932, -1863, -2794, -3725, -4656?\n\"Answer: -931*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*a*c**2*j*q + 36*a*c*j*q - 3*a*c*j + a*c*q + 34*a*j - 3*a*q + 3997*c**2*j + c**2*q + 4*c*j*q - 2*c*j wrt c.\nAnswer: 10*a*j*q + 7994*j + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 31242196 and 31242193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -12*a**2 + 17*a + 6. Let b(g) = 24*g**2 - 33*g - 11. Suppose 3*p + 31 = 13. Let t(w) = p*b(w) - 11*l(w). Find the second derivative of t(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 5, 21\/97, 4, -10.06?\nAnswer: 21\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2\/7, -8, 14090 in descending order.\nAnswer: 14090, 5, 2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-341)\/31*(4560\/88)\/(-10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 10310001 (base 4) to base 15\nAnswer: 5c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = -h + 3*h. What is the highest common factor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -2 + 17 + (38 - (2 + 38))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 - 8. Let m be 17\/5 - 4\/k. Solve -d + m*f = -4*d + 9, 0 = 2*d - 2*f - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2289, 2259, 2169, 1989, 1689, 1239, 609, -231?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -150, -591, -1298, -2253, -3438?\nAnswer: -4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -2*u + 6, 199*r = -5*u + 200*r + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = 2*o + 43600, 35*u + 34878 = 31*u - 2*o. What is u rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 2484\/11 (c) -7 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-153)\/(-72) + (-50)\/144\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 4443 + 4436 - 15131*b - 8879 as g + l*b and give l.\nAnswer: -15131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -56 + 57. Calculate the common denominator of 45 + l\/((-5)\/15) and 6\/2 - -33 - 2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 185 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -14\/181241491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 384 + -535. Let z = 1277 + p. List the prime factors of z.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 28, -8, -1, -2, 27 in increasing order.\nAnswer: -8, -2, -1, 27, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-4) - 2*73\/(-8). Let t = q - 10. Solve -4*c - t + 20 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 3*n**2 - 92*n + 608. Determine w(23).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(-2\/21)*f\/(f**(-2\/17)*f))**(1\/23) assuming f is positive.\nAnswer: f**(433\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 13 by 42666.\nAnswer: 1\/3282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(91) + (3*sqrt(91) - sqrt(91)))*-1 - sqrt(91))\/(sqrt(56)\/sqrt(2)) + 1 + 1.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36135066?\nAnswer: 2, 3, 11, 547501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -5*z - w, -3*z + w = 5*w - 36. Let a = 7 + z. Suppose 0*v - a = -v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:22 PM and 9:58 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 630 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 15*(-6)\/(-36)*24\/15*(-156)\/(-24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is 14209 - -2371.3?\nAnswer: 16580.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -1329*i - 602. What is the thousands digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2147274413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 255 and 640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 3*n**3 - n**2 + n + 1. Let m be p(-1). Let j(d) = -d + 3. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**3 + 27*i**2 - 67*i - 8. Let z be w(3). Solve 8 = 3*n + 4*j, z*n - 17 = 3*n + j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xmxfxmmfffdmf. Give prob of sequence xmx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -8*s**3 - 16*s**2 + 81*s - 99. Give n(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4098 divided by 50191.\nAnswer: 4098\/50191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**3*d)\/(d*d*d*d**(-2\/7)))\/(d**(-1))**(-1\/43)*(((d\/(d**(-2\/11)*d))\/d)\/((d\/((d*(d*d*d**(1\/6)\/d)\/d*d*d)\/d))\/d))**(-42) assuming d is positive.\nAnswer: d**(-183343\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be (12\/(-48))\/((-30)\/16). Let z(j) be the first derivative of 3\/10*j**4 + p*j**3 - 1\/15*j**6 + 0*j - 2\/25*j**5 + 7 - 2\/5*j**2. Solve z(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 37219568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -64, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 1871*f - 152515 = 5501*f + 130625 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 100\/203 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + 3*t = 4*p + 15, -15 = 5*p - 5*t. Is p greater than -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 3, 1\/108, -5, -282 in increasing order.\nAnswer: -282, -5, -0.2, 1\/108, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-42)*14\/20?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**2. Let s(l) = -16 + 16 + 2*l. Calculate s(r(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 65 and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 144 = -2*m - 4*g, 3*g = -2*m + 151. Let a be 27\/36 - m\/(-8)*1. Let k = 10 - a. Solve k = 9*p - 4*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6529428.1 to the nearest one hundred thousand.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1377 and 425.\nAnswer: 34425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4247657 is divided by 620.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -32*l**3 - 2531*l**2 - 235*l + 167. Determine u(-79).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 17586\/20815 or 0?\nAnswer: 17586\/20815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 516415 and -37.\nAnswer: -19107355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000676996 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68724351.\nAnswer: 3, 877, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -0.5 (c) 11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r + 12. Let l be b(-7). Suppose -6 = l*o + 3*f, f - 3*f = -o + 4. Suppose o*u = -5*u + 20. Solve -u*p = -5*m + 23, -2*p = -0*p + 5*m - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -13*n**2 - 3*n. Let w(t) = 82*t - 2. Give w(r(z)).\nAnswer: -1066*z**2 - 246*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 32 - -89. Calculate the remainder when c is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -46239.2.\nAnswer: -46239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4564 divided by -4?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10695381*q**2*y**2 + 35*q**2*y - 3*q**2 + 394 wrt y?\nAnswer: -21390762*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 532, 571, 642, 751, 904, 1107, 1366, 1687?\nAnswer: 2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 2.5. Let x = -1781 + 1783. Let u = -0.3 - -0.2. Which is the nearest to -3? (a) u (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 - l - 1. Let g(z) = -20*z**4 + z**3 - 8*z - 1. Let o(w) = 2*g(w) - 2*t(w). What is the second derivative of o(h) wrt h?\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 18965154 divided by -26\nAnswer: -729429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46980891*s**2 - 46980891*s**2 - 2*s**3 - 3*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.04 in 3\/11, 38, 1, -0.4, -1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3379089 divided by 21.\nAnswer: 160909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -16960 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8355357 centimeters to millimeters.\nAnswer: 8.355357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5366 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 4, f: 16}. Give prob of picking 1 k and 2 f.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80*x**3 + 84*x**3 - 155*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*s - 135743 = 11767 + 4026. Which is greater: -3159 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 7. Let d = -22 + 22.5. Which is the smallest value? (a) 3 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -7859, -9740, -14839, -24764, -41123, -65524, -99575, -144884?\n\"Answer: -268*l**3 - l**2 - 2*l - 7588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 2.276481789 to 3 dps.\nAnswer: 2.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -3*s**3 + 258*s**2 - 68*s + 5486. Give c(86).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 - 10*l**2 - 29*l + 27. Let q be f(12). Let n be 51\/9 - 11\/q. Are n and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1\/10)\/((-1309)\/255 - -5). What is the nearest to -5 in -0.5, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 576*u + 25385. Let j be f(-44). Let r(i) = -10*i - 9. Let p be r(-6). Solve p - j = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1047627 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 187455?\nAnswer: 3, 5, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -3240.3 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -65442460760728.\nAnswer: -65442460760731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4728, -9459, -14182, -18891, -23580, -28243, -32874, -37467?\n\"Answer: z**3 - 2*z**2 - 4732*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2, 23 in increasing order.\nAnswer: 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 4*n**2 + 42*n - 25. Let r be b(-12). What is the second derivative of -r*t - t**3 - 7*t**4 + t**4 + 2*t - 2*t**4 - 5*t**4 wrt t?\nAnswer: -156*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 486 = v + 487 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/12*(-202)\/(-5656)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.088412 millimeters in kilometers?\nAnswer: 0.000007088412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4 + (-4 + 2 + -1 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 + 31. Suppose 0*r - r = q*i + 18, -5*r - 27 = 4*i. Which is the nearest to 1\/7? (a) -0.2 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - d = 7, 2*d = -5*z - 2 + 18. Suppose -4488 = z*t - 8*t. List the prime factors of t.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*f - 288811254 = -305*f + 37*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**3 + 6 + 46*u - 75*u - 8*u**2 + 40*u. Determine x(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 273 in -27\/13, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 6888 = 2*f, -5*f + 17239 = -20*b + 17*b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (d + 0*d + d)*(7*d - 3*d - 2*d) + (-d**2 + 9*d**2 + 2*d**2)*(1 - 2 + 5) to the form w*d + g*d**2 + o and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*h - 62 + 54 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3157 and 4059.\nAnswer: 28413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 8*z**2 - 30*z + 419. What is the units digit of u(-61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -6 - (-28 + -10 + -22 + 21)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n**3 + 0*n + 0*n)*(-2*n**2 + 2*n**2 + 5*n**2 + (2 - 3 + 2)*(-2*n**2 + 3*n**2 - 2*n**2) + 0*n + 3*n**2 + 0*n).\nAnswer: 21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.9 + -4. Let i = -0.23 - z. Let t = i - -0.03. Which is the second smallest value? (a) -1\/3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 19094 = -4*u, -4*m - 3*u + 25160 = 9860. Suppose 7*o + m = 33*o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1\/10)\/(4\/(948\/3)) and (-18)\/(-22)*(-26)\/(-12)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2*(2 + -7 + 3). Let w = 6 - d. Suppose -6*f + f + 15 = 0. What is the lowest common multiple of f and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -15852363 equal to -15852364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84283472?\nAnswer: 2, 7, 13, 107, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in 1.06857, 3\/10, 2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**5 - 3*b**4 + b**3 + 2*b. Let t(h) = -6*h**5 + 227*h**4 + 15382*h**3 - 248*h**2 - 15362*h. Let o(c) = -21*l(c) + 3*t(c). Solve o(r) = 0 for r.\nAnswer: -124, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 140633 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 40*y**2 + 32*y - 22. Determine v(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 7378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-12)\/(-9)*14)\/(2\/(-9)). Let n = 88 + k. Is (-1 + 252)*4\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 4197\/9997?\nAnswer: 4197\/9997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 29700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -2349087.\nAnswer: -1\/783029","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Solve 5*c - 4*o - 27 + 4 = 0, 5*c - o - 17 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 2 = 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-19)\/(-768))\/((-2)\/(-104)) + (-3)\/9 and -2 - (-1)\/(192\/434).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**2 - 310*g + 2040.\nAnswer: -5*(g - 6)*(g + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) 64.8 (c) 1 (d) -0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -4*(sqrt(605) + 1) + sqrt(605) + 0.\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30 - c**2 + 16 - 12.\nAnswer: -c**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**2\/11 + 823662324*t\/11 - 84802452997135122\/11 = 0 for t.\nAnswer: 205915581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -4467.5 - 6763694\nAnswer: -6768161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -104 (base 12) to base 15.\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 103, 4, -5\/3, 57\/7, -3, 1 in increasing order.\nAnswer: -3, -5\/3, 1, 4, 57\/7, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 35645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:38 PM and 12:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express j**2 - j**2 + 2*j**3 - 2*j**3 + 4*j**3 - 3*j**3 + (-j - 13*j - 25*j)*(3*j**2 + j**2 + 0*j**2) in the form q*j**2 + l*j**3 + a*j + k and give l.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.8 less than -104?\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 x when three letters picked without replacement from {u: 3, q: 2, m: 2, p: 1, x: 2, k: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2391 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - 3*j**2 - 2*j - 4. Let b be m(-3). Suppose b*l = -l + 42. Suppose -l = -0*v - v. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6590 - 6590.02. Which is the closest to 3? (a) -3 (b) 0.5 (c) y (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -2*o - 5. Suppose -f - 4*g = -2*g + 8, -2*g = 2*f + 8. Suppose 0*n - n + 4 = f. Let b(u) = 6*u + 14. Give n*b(v) + 11*k(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-8 + (5 - -2) + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.5031 + 0.0331. Let z = -0.53 + y. What is the nearest to 3\/7 in 3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(5\/17)*y**(-10)\/y)\/((y*y*y\/(y\/(y\/y**(-46))*y))\/y*y\/((y\/(((y*y\/y**41)\/y)\/y))\/y)*y) assuming y is positive.\nAnswer: y**(-318\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -5*l**2 - 1220982490*l - 74539912044330005 = 0.\nAnswer: -122098249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4584 + 6629. What are the prime factors of i?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(252)*-1*4 + 5 + 1 + -3)**2.\nAnswer: -336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*w + 38 + 38 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -47 + 0*a + 47 - a. Let h(y) = -37*y + 147. Let n be h(4). Let o(g) = 1 + 2*g**2 - 3 + 0*g**2 - 7*g. Calculate n*o(t) + 6*j(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 336*p - 342*p = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -7*b + 3. Let h(g) = 8*g - 3. Suppose 3*c + 3*p = -0*p, -c + 2*p = 15. What is c*h(w) - 6*d(w)?\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -48 + 52. Suppose -2*u + 8 = -c*u - 5*m, u = 4*m + 9. Is -3*u - (-63 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -23*a**3 + 11*a**2 - 16*a. Let z(w) = 6*w**3 - 3*w**2 + 4*w. Let i = -9 - -15. Let s(d) = i*x(d) + 22*z(d). Find the second derivative of s(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {t: 5, y: 4, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.8 - -0.4. Let a = h + -7. Round a to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2 - 12*t - 2. Let l be x(-8). Let q(b) = 4*b + 2. Let j = 12 - 18. Let v(r) = -23*r - 11. Determine j*v(a) + l*q(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-7)\/((-126)\/24))\/((-5)\/(2040\/(-32)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333803806 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -27*x - 15. Let c be ((-85)\/20 - 14\/168)*3. Let v(r) = 13*r + 7. Determine c*v(g) - 6*y(g).\nAnswer: -7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -492247.344 to the nearest one hundred.\nAnswer: -492200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -27, -4, 2, 3, -2 in ascending order.\nAnswer: -27, -4, -2, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 0) + -4 - (24 + -38 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 353497 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand c**2 - 5*c**2 + 3*c**2 + 12*c - 2*c**2 + 356 - 356 + (0*c**2 + 3*c**2 - c**2)*(0 + 0 - 1).\nAnswer: -5*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be 100\/60*(-44)\/(-110). Find w, given that 0 + 2*w**3 + s*w**4 + 4\/3*w**2 + 0*w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhaahahaahhhhhh.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9173.\nAnswer: 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s + s + 2*s - 2*s + 3*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 23.5539 nanograms?\nAnswer: 0.0000235539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 4*i + 2, -3*f - 2*i - 2*i + 34 = 0. Suppose 0 = -f*a + 4*a - 18. List the prime factors of 58\/6 + a\/(-27).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of t**2*x**2 + 1586*t**2*x + 1080*t*x**2 + 2*t*x wrt t?\nAnswer: 2*x**2 + 3172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.0873 * 1.73\nAnswer: -0.151029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3161*l - 83221 + 726037 = 2132*l + 2643*l for l.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the third derivative of -53*u**4\/12 + 2*u**2. Let w = -1093 + 1091. List the prime factors of o(w).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, h: 2, t: 9, o: 3}. What is prob of picking 1 t and 1 h?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 + 2 - 0)\/1. Let l(p) = p**2 - 81*p + 6. Let s be l(4). Let x = -301 - s. Solve 4*q - 3*r - x = 0, -2*r + o = r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 546 + -21839\/40. Suppose -3*r + 4*k - 3*k + 16 = 0, -k - 1 = 0. Suppose 2*x + 10 = u, -25 = 7*u - 3*u + r*x. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + 0.5. Let h = -2065\/1524 - -40\/381. Suppose -k - 5 = d, -4*d + 0 + 5 = -k. Sort f, d, h in ascending order.\nAnswer: h, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 180 = 3*v + 174. Suppose 187 - 201 = -v*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**2 + 12*j - 31. Let u be y(5). Solve 0 = -0*m - m + d + 8, -3*m = u*d + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-44)\/4 - -7 - ((-244)\/32 + 4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/(-190))\/(4806\/8010)\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, -56, -319, -25, -2 in ascending order.\nAnswer: -319, -56, -25, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 + 2*j + 4. Let i(a) = 2*a + 2. Let x be i(-1). Let n be d(x). Solve f + 3*f = -n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 2*l + 20. Let p be s(-10). Suppose -6 = -2*f, y + f + p = 3. Solve 5*u + 42 - 17 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1065 + -7b42?\nAnswer: -6a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 17 - 78 = 0. Let t(z) = -z**2 - 8*z + 123. Let l be t(-16). Let d = i - l. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2d88 - b96c?\nAnswer: -89c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-147)\/35 - -3) + (-9460)\/(-550)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Calculate 32*3185\/3360 + (-10)\/(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -16\/7, 0.5, 0.1, -1\/4, -15 in ascending order.\nAnswer: -15, -5, -16\/7, -1\/4, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*((-9008)\/(-644) + (21 - 35)).\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of -9*v**5\/5 + 8*v**3\/3 - 8. Find the third derivative of i(o) wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -4*b**4 - 444*b**3 + 6876*b**2 - 16004*b - 63000 = 0.\nAnswer: -125, -2, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 26 or 1997\/80?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r**3 - 38*r**2 + 9*r - 35. Let h be g(20). Calculate the highest common factor of 70 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r + 2. Let z be k(-3). Suppose 0 = -6*g + 13 + z. Suppose -4 = 2*n - g*n. Calculate the least common multiple of n and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 2 l, and 1 x when four letters picked without replacement from xwxxllxlwww.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of -3 - 3\/7*b**4 + 4\/7*b**2 - 2*b + 2\/3*b**3. Let t(j) be the first derivative of d(j). Factor t(c).\nAnswer: -4*(c - 1)*(9*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 40 = -0*v. Let n = 15 - v. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 15.2 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 135 - 44*i**4 - 64 - 5*i + i**3 - i**2 + 42*i**4 - 70 as n*i**3 + u*i**4 + x*i + a + b*i**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4335338?\nAnswer: 2, 7, 309667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -452 + 457.06. Let c = 0.06 - b. Let s = -2782.9 + 2783. What is the fourth biggest value in s, c, -92\/3, -2?\nAnswer: -92\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2292.5 - 2291.5. Let l = 4.21 - 0.21. What is the biggest value in x, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10870492 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 324, 650, 976, 1302, 1628?\n\"Answer: 326*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5633 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = z - 60. Suppose -4*s - 20 = 4*j - 0*s, -5*j + 5*s + 15 = 0. List the prime factors of 0\/j + (5 + 1 - z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/13320 and 161\/324840.\nAnswer: 36057240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 8*b - 15. Let w(a) = 40 + 24 + 46 - 32*a - 110. Calculate w(l(t)).\nAnswer: -256*t + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -3391.183 to zero dps.\nAnswer: -3391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -565\/1173839?\nAnswer: -565\/1173839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2 - 5*d + 84. Let s(z) = z**3 + 13*z**2 - 41*z - 386. Let i be s(-14). Determine f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/13? (a) 2 (b) -2\/5 (c) -10 (d) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 4*o + 8, 5*o - 15 + 5 = -3*k. Suppose 0 = -2*g + 10, -4*r + 2*g + k*g = -9990. Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 262 - 135. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 5*o + r + 53, 3*r = -2*o - 26. What is the closest to o in 4, -5, -1\/21, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 3 + (sqrt(320) + -1)*-5*3 + (-4 + sqrt(320) + 4*(sqrt(320) + -2))*5)**2.\nAnswer: -7200*sqrt(5) + 34025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35 and 2065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-4*(3 + (sqrt(325) - (-3 + sqrt(325) + -3) - sqrt(325)) + 4*(sqrt(325) + -1 + 4)))**2.\nAnswer: -215424 - 40320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -182546 * -1.3\nAnswer: 237309.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 0 - o + 0. Let t(q) be the second derivative of -q**7\/1260 + 5*q**4\/12 - 6*q. Let w(g) be the third derivative of t(g). Calculate m(w(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 7*k - 1. Let p(s) = -72*s + 10. Let m(q) = -10*o(q) - p(q). Let n(f) = 27*f**2 - 4*f. Calculate m(n(l)).\nAnswer: 54*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 1.39506553 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 925728511 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -15\/62 (b) 0.07 (c) 20 (d) 2\/9 (e) -0.1 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b + 3 + 13 - 1. What is the remainder when 64 is divided by w(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12075034)\/22 - 8\/(-44)*1. Let k = -85619437\/156 - c. Let u = k - 384\/13. What is the common denominator of 37\/2 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 14073 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.9? (a) -2\/11 (b) 0.4 (c) 0.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 139 divide 36557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-353)\/(-1)*(-6)\/3510. Let b = -2\/585 - r. Sort 4, 0.2, b.\nAnswer: 0.2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1)\/(-2))\/(1\/6). Let u be (0 + 1)\/(1 + -2). Is 3\/(o*u\/(-4)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64 - 33 + 4)*(-1 + 2*u + 1)*(3 - 2*u - 5 - 1).\nAnswer: 372*u**2 + 558*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k + 2*j + 5, 3*k + j = 4*k - 3. Which is smaller: 9\/29 or k?\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - 8\/((-216)\/15) - (-10396266)\/54 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -253959277*n. Let f(b) = 5*b. Give f(p(q)).\nAnswer: -1269796385*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -50 - -49.991. Let a = -0.991 + z. What is the nearest to a in -0.5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of 325476281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 4:21 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 3*m + 5, -4*f - 2*m = 2*m - 28. Let r(v) = 2*v**2 + 6*v + 4. Let s be r(-4). Let q be 3 + s\/(-2) + 6. Solve -f - 13 = -q*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 190356134079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -66*d + 66*d + 16*d**5 + (2*d**4 - d**4 + 0*d**4)*(-4*d + 4*d + d + (-1 + 1 + 1)*(-2*d + d + 3*d) - 6*d + d + 3*d).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fkfk. What is prob of sequence ff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -22 + 30. What is the remainder when 15 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (5 + -9) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m. Let b(q) = 2*q**2 + 6*q + 1. Let z(k) = b(k) + 3*j(k). Suppose 2*t - 11 = 3*y, -t + 11 = -4*y + 3. Let c(w) = w. Give y*z(n) + 3*c(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2925626.\nAnswer: 2, 11, 71, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 468 (b) 1\/5 (c) 3\/8 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-35)\/210)\/((-1)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, -30, -50?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2688 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/231 or -0.0532?\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 8*j**2. Let t(m) be the second derivative of m**3\/3 + 5*m. What is c(t(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 164 - 0?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p\/(p*((p**(1\/4)\/p)\/p)\/p*p))*p)*p*p**(-5\/6))**(-43))**(3\/11) assuming p is positive.\nAnswer: p**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -da - 2?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*w**2 - 3*w - 13*w + 31*w**2 + 18*w.\nAnswer: -20*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36314 and 3?\nAnswer: 108942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 500, 498, 496?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3285*h + 3714 + 18186 = -14235 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -6429522.1 to the nearest one thousand.\nAnswer: -6430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 23, -1227, -41, 3, -6 in increasing order.\nAnswer: -1227, -41, -6, 1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -252519120 by 5320.\nAnswer: -47466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/2 smaller than 82565.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1646794.\nAnswer: 2, 29, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*s - s - 3*s)*(0 + 0 + 2*s) - s**2 - 2*s**2 + s**2 + (s + 5*s - 5*s)*(3 + s - 3) + 8*s**2 + 4*s - 4*s to f + w*s**2 + t*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 192737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 9:12 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-18)\/((-6)\/3 - -1). Let k = -17 + y. Is 3\/20 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 10*z. Let r(c) be the second derivative of c**3\/6 - 11*c. Give r(o(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 6 = 5*k - o, o = -3*k + 6. Calculate the remainder when 232\/28 - 6\/21 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = -38 + 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3206501.5100058 + 3206502. Let n = x + -0.49. What is n rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444888 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25*(-294)\/13125*40\/(-28).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1736 a factor of 248287928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + 49*l**2 - 10*l + 484. Let q be d(49). Let v(o) = -26*o + 5. Let t(f) = 25*f - 4. Give q*t(j) - 5*v(j).\nAnswer: -20*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.08 + -0.28. Let j = m - -4.2. Let b be (-6)\/(-8)*8\/(-9). What is the second biggest value in -4, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 54.96165ml in litres?\nAnswer: 0.05496165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -7882709, -15765411, -23648113, -31530815, -39413517, -47296219?\n\"Answer: -7882702*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 + 18*h**2 - 10*h + 32. List the prime factors of l(-18).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b**3 - 8*b**2 - 9*b - 2. Suppose -x - 3 = 4. List the prime factors of j(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -c + 8*c - 2*c - c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-42)\/(-735) + (-1497)\/7455 and -92\/1065?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 185 + 35 = n. Let f(w) = 44 + 47*w - 26*w - 25*w. Let b be f(6). What is the highest common factor of b and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 456 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 6*t + 25. Let f(z) = -9*z**2 + 5*z - 3. Let x(a) = -13*a**2 + 8*a - 5. Let k(n) = t*x(n) + 8*f(n). Calculate k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 1 = 7. Let y be (1064 - 4)*(4 + i + -2). Is -4*(-6)\/8 + y\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5947 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 q(h) = -h**2 + 12*h + 2. Let r be 1380\/210 + (-2)\/(14\/(-3)). Give q(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 137 = -b, -6*b - 35 = -p - b. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 2*d + 2486 = 0, -3*h + 2*h + 492 = 3*d. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28*1884.\nAnswer: -52752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1981536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -8276 times -0.8\nAnswer: 6620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -732 = -4*i + 4*l, -l = -2*i + 4*l + 381. Let u = -125 + i. Let p = u + -42. What is the least common multiple of p and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -41 + 56. What is the highest common divisor of u and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18390121.\nAnswer: 317, 58013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6*j - 223. Let h be d(38). Solve 2*u - 9 = 5*t - 20, h*t + 4*u = 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2173 + 2174. Is -5\/1151 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 46 = 121. Let q(u) = -u**2 + 6*u - 2. Let l be q(5). Suppose 0 = l*k - k - 24. Solve 20 + k = 4*v + 3*c, v = -5*c + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.11*-313002.\nAnswer: -34430.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the third derivative of -g**5\/30 + 5*g**4\/6 - 15*g**3\/2 + 24*g**2. Let y be u(6). What is the fourth smallest value in -2\/3, -1\/4, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by 42547\nAnswer: 3\/42547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 163 - 88. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 1 = 4*x + 29, 5*z + x - 26 = 0. Let d(b) = 2*b**3 - 6*b**2 - b + 5. Calculate the remainder when d(4) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1861103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1.987 or -3\/7?\nAnswer: 1.987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 51 (b) -7459 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9287, 18037, 26787?\nAnswer: 35537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 - 4 - (12 + (3 - 12))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -16*y + 2*y**2 - 133066 + 66528 + 66566. Let u be 2\/5 - (-96)\/10. List the prime factors of j(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 5, -4.\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -d**2 + 0 + 0 + (-14*d - 13*d - 17*d)*(0 - 5 + 3)*(1 - 1 - 2*d) to y + r*d**2 + h*d and give r.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -69, 579, -3 in ascending order.\nAnswer: -69, -3, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z - 3*z**3 + z**3 + 28*z**4 - 21*z**4 to the form p*z**4 + r*z + s*z**3 + h*z**2 + b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 702 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1617557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/z**(-2\/5)*z**4)\/(z**(-1\/2))**42)**(4\/7))**48 assuming z is positive.\nAnswer: z**(25344\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1580 + 1004 = 19*h. Calculate the greatest common factor of h and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {v: 3, l: 3, w: 2, e: 1, m: 4, u: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 100011100011 (base 2) to base 8\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 2*w**3 - 39*w**2 + 34*w - 55. Let k be l(19). Sort k, -5, -2 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(700) + 0)**2 + 2 - (sqrt(700)*-1 + -4 - (0 + sqrt(700) + -2)).\nAnswer: 20*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, g: 3}. What is prob of sequence ggp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rjr when three letters picked without replacement from {r: 10, o: 2, j: 1, s: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 - 1 - 3)*(h - h - 2*h) + 7*h - 21 + 21 - h + 1 + 0*h + 9*h)*(1 + 0 + 0)*(-236*h - 20*h**2 + 236*h) to a*h + x + n*h**2 + c*h**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -12001002011121 (base 3) to base 11.\nAnswer: -156a413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the third derivative of x**5\/60 - x**4\/8 - x**3 - 8*x**2. Determine n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -3\/511341374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -z**3 - 2*z**3 + 0*z**3 + (-5 + 8 - 7)*(3*z**3 - z**3 - 4*z**3).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*f**3 - 4*f**3 + 2*f**3 + (0*f**2 + 0*f**2 - 2*f**2)*(f + 0 + 0) + 0*f - 2*f**3 + 0*f - 71*f**3 + 4745*f - 4745*f.\nAnswer: -73*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 29*x + 268 = -352 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 2 + 3)*(6 - 45*r + 1 - 6) to h + i*r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 3*n = 19*g - 14*g - 52, g - n - 13 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the first derivative of -2*x**2 + 13*x - 12. Does 9 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 27*l**3 + 2*l**2 - 1. Let f be 10\/((-70)\/21) - (-1 + -61). Let t = 141 - f. Calculate the remainder when t is divided by v(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2290\/7 or -328?\nAnswer: -2290\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 7288 and 51016.\nAnswer: 51016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 58300 = -4*v + 415016. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 217*m - 1213 - 2476 = 0. Solve -m*t = -12*t - 4*k - 12, -5*t - 3 = k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**3 - 11*a**2 - 29. Let x be v(-6). Suppose -180 = -3*p - x*p. Suppose 4*q = 3*q + 36. What is the highest common factor of p and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39406.66634 + 39408. Round d to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1*((-1*(sqrt(1216) - sqrt(1216)*-2) - sqrt(1216)) + -4*sqrt(1216)*1 + 0))**2.\nAnswer: -512*sqrt(19) + 77840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of -m**5\/2 - 5*m**4\/12 + m. What is the third derivative of v(j) wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4017 + 3993.91. Let z = 23.08998261 + a. Round z to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1003 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1262910, 1262949, 1262988, 1263027?\n\"Answer: 39*o + 1262871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2308 + -2313. Let x = 0.7 - 0.5. Which is the nearest to 0? (a) o (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -25a91 (base 16) to base 2.\nAnswer: -100101101010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153)\/(-3*sqrt(9)) + 3 - 6*(5*(sqrt(612) + sqrt(17)))**2.\nAnswer: -124947 - sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**2\/5 - 69644328*m\/5 + 139288672\/5 = 0. Calculate m.\nAnswer: -17411084, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yjj when three letters picked without replacement from {y: 3, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 286 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1181, 1135, 1057, 947?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 100 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 9*t**2 + 6*t + 7. Let k(s) = -8*s**2 - 5*s - 7. Let g(a) = -5*c(a) - 6*k(a). What is the first derivative of g(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*z + 0 - 3 + 0)*((2*z - 1 + 1)*(-2*z**2 + 3*z**2 + z**2) - 2*z**3 + 4*z**3 + 2*z**3).\nAnswer: -24*z**4 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wyawyyeywawyaewwf. Give prob of picking 1 f and 1 e.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -276476985*q + 343416694 wrt q.\nAnswer: -276476985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6445 - -6857. Is 408 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1116*q + 1161*q + 945 = 0 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 110.4 + -110. Which is the closest to -1\/3? (a) o (b) -1\/5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6 less than 2994006006?\nAnswer: 2994006005.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52501052\/2371 + -22143. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -16 + 17 + d + 4. Let j(x) be the second derivative of 11*x + 2*x**2 + 0 + 1\/6*x**3. What is 3*f(s) - 4*j(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -15 + (-8 - -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -122341.6 - -122340.9999972. Let i = -0.6 - n. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7.8 - 7.1. What is i rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -43 - 105*x**4 + 28 + 74 + 51 wrt x.\nAnswer: -420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -8*b - 192. What is j(-18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -5 + 12 - 16 - (-11 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (2 + (5 + (-1 - 1) - 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 - 12*c**2 - 13*c + 8. Suppose -8*h = -3*h + 50. Let m be a(h). Calculate the least common multiple of 5 and m\/(-6) - (-4)\/6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*a**3 + 0*a**3 - a**4 + (-3*a + a + 4*a)*(2 + a**3 - 2) + a**4 - 4 + 5 + 6.\nAnswer: 2*a**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2\/3, -5, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:12 PM and 12:22 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.046 - -0.054. Suppose 0 = -3*s + 6*s - 3. Let z be 4*(28\/(-8) + (s - -2)). Which is the nearest to g? (a) z (b) -2\/5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 + 33*s - 267. Calculate j(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 37383260.00329 - 37382477. Let w = r + -783. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 3*z - 41, -4*z = -3*z + 4*c - 37. What is the greatest common divisor of z and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) be the first derivative of -z**2\/2 - z - 11. What is v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.21 or 5421959?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 6 + 1)*(63*x - 6*x - 22*x) - 1 - x + 1 + (-x - 2*x + x)*(2 - 6 + 1) + x - x + 3*x)*(3 - 3 - 2).\nAnswer: 124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor n**2\/3 + 8251*n + 19717496\/3.\nAnswer: (n + 824)*(n + 23929)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -14293780 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -47, -36, -9, 40, 117, 228?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12257929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -t + 2*q, q + 5 = 6*q. Suppose 0*a - 31 = b + t*a, 3*b + 42 = 5*a. Let g be (-2 + b)\/(-3) - 2. Solve -4*k + 4 = -2*l - k, 2*l + g*k = 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of -t**7\/2100 - t**6\/180 - t**5\/75 - 11*t**3\/6 - 9*t**2. Let h(g) be the first derivative of i(g). What is j in h(j) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4683.61 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -8a2 (base 11) to base 5.\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114 divided by -2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from addooxxh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**(-1\/32)*s)\/s)\/s**(1\/7))\/(s**17*s\/s**(-12)) assuming s is positive.\nAnswer: s**(-6759\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 16 = 5*y - 62, 3*y = 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 6*c**2 + c - 8. Let m be b(-3). Calculate the highest common divisor of 258 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-9)*-7)\/((42\/(-7))\/36)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 921 + -901. Solve 19 = 5*q - 6, o = -i + 4*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - (3 - (-6 + 10 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 253*n + 1350 = 262*n. What is the highest common factor of 75 and n?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35 + -51. Let j = -13 - c. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17*l**5 + 2*l**2 + 1367*l + 2.\nAnswer: -340*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum -262 and -11300.7.\nAnswer: -11562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, m: 1, o: 3, w: 1, n: 3}. What is prob of picking 1 w, 2 x, and 1 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**3 + 6*i**2 + 5*i - 4. Let a(f) = -2*f**3 - 183 + 180 + 3*f**3 + 4*f + 5*f**2. Determine -4*a(m) + 3*j(m).\nAnswer: 2*m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-157)\/((-63742)\/696)*-7*16\/(-6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12*v + 11*v - 2*v)*(-9 - 6 + 3) - 2*v - 3*v + 4*v to the form i + a*v and give a.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 49*g**2 + 3*g - 6. Let z be y(4). Suppose -5*m = 3*q + 598, -4*q - m = 2*m + z. Let c = 310 + q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13392 is divided by 1115.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**9*b\/(b\/b**(-9))*b**(-7)\/b**(1\/15) assuming b is positive.\nAnswer: b**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 812524418 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 6*6*(-35)\/(-252)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 AM and 12:03 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from isumx. Give prob of sequence um.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5183679463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (3 + -1 + sqrt(1300) + (-1*sqrt(1300) - sqrt(1300)) + sqrt(1300))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 37*z**2 + 2*z. Suppose -j + 15 = 2*j. Let i(p) = p - 7. Let o be i(j). Let d be s(o). Calculate the greatest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 68\/10449 and -1\/251715.\nAnswer: 876723345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + 3 + 64\/(-20). What is the closest to -4 in m, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(1*sqrt(441)*-2 + sqrt(441) - sqrt(441)))\/(2*sqrt(147) - (sqrt(30)*-3 + sqrt(30))\/sqrt(10)).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b**3 + 5*b**2 + b - 4. Let a be i(-5). What is the units digit of (a\/15)\/(3\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4140, 4175, 4200, 4215, 4220, 4215, 4200?\n\"Answer: -5*q**2 + 50*q + 4095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1071479 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 27 = -x, 0 = -x + 6*x - 4*k - 51. Suppose -x*b + 17*b + 40 = 0. Put -3, 0, b in decreasing order.\nAnswer: 0, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = m - 4*m + 693, -9 = 3*u. Let y = m + -159. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 818973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/4)\/(3\/(-24)). Let j(r) = -40*r**2 - 7*r + 9. Let y be j(2). Let b = y + 160. Sort b, 0, m in decreasing order.\nAnswer: 0, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b**5 + 252*b**4 + 248*b**3 - 252*b**2 - 250*b = 0.\nAnswer: -125, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -7*-1.102\nAnswer: 7.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 891549.6g to kilograms.\nAnswer: 891.5496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 104*g + 67 + 79*g + 103*g - 262*g - 136 + 69.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -16 + 31. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q = -5*q - 10. Let n(m) = -q + 5*m + 6*m + 5. Let j(d) = 2*d**2. Give j(n(h)).\nAnswer: 242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.23 and -4.7?\nAnswer: 1.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*w - 2*b + 726 = -23*w, w - 5*b - 198 = 0. Are w and 183 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 13 - -b?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -4*m - 3*m**3 + 2*m**3 + 2*m**3 + m**2. Let l be j(4). Find the third derivative of 33*i**5 - l*i**5 + 26*i**5 - 9*i**2 wrt i.\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1426336*j**3*u**3 + 35*j**3*u + j**2*u + 6*j*u**3 - 6*u**3 + 50589*u**2 - 2 wrt u?\nAnswer: -8558016*j**3 + 36*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 49 - 45. Suppose -3*s = -0*z + z - 50, -2*z + 100 = -s. Suppose -z = -b*g - 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 100415 - 8794. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48689613?\nAnswer: 3, 7, 73, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 4*d = -5*x - 279, 3*d - 817 = 5*x. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -8*p - 7. Give u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1818, 1992, 2166, 2340, 2514?\n\"Answer: 174*k + 1644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express q**3 + 3*q - 9*q - 2*q**2 - q + 6*q**2 as f*q**2 + h*q + z*q**3 + p and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 28016 by -34.\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kjk when three letters picked without replacement from pkzpjjkkpjmjp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the first derivative of 1\/2*t**2 + 0*t + 3\/4*t**4 - 3 - t**3 - 1\/5*t**5. Suppose w(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2136 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 64 + 112. Calculate the greatest common factor of 363 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6075 is divided by 1487?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -22\/49 (b) -0.4 (c) -557 (d) 0.3 (e) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/56*35*(-72)\/(-70). Let -2*v + 4\/7 + a*v**2 + 2\/7*v**4 - 10\/7*v**3 = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2368283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2\/509 + -1040\/5599. Which is the second biggest value? (a) t (b) -32 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2380519 and -0.3?\nAnswer: 714155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 16*a + 25. Let h be z(16). Suppose h*i - 4509 = 272*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 + 4 + -3 + 6 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.159 + -1.259. Let d be 4\/18 - (-117)\/(-162). Which is the biggest value? (a) h (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/744315 or -1?\nAnswer: 4\/744315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1909 - -187.6091. Let j = -167 + n. Let l = -3.8 + j. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4251160 by -2.\nAnswer: -2125580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 4144 (base 5) to base 2.\nAnswer: 1000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 24 - 1 + 15 + 8*y - 11*y.\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-5*sqrt(30)\/sqrt(3)*2)\/(sqrt(80)\/sqrt(4)*-3).\nAnswer: 5*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-7) - 15\/(-7). Suppose p*j = 40 - 10. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cnnnyvnnvlnddn. What is prob of picking 1 d and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 5*y = -10, p + 2 - 9 = 4*y. Suppose -p + 5 = -2*q. Let n be (-6)\/(-2) - q - -1. Solve -n*h = 14 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6)\/(2*1\/(-3)). Let 6*u - u**2 + 0 - x + 0*u = 0. What is u?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 = -4*a - 12. Suppose 0*t + a = 3*h - 3*t, h - 2*t - 15 = 0. Is (h\/2 + -2)*(506 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) - 1*(sqrt(170)*-1 - sqrt(170)))\/(2*sqrt(360)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 3*z**2 + 4*z. What is the units digit of k(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19451*y**3 + 212537*y**3 - 59965*y**3 + 188766*y**3.\nAnswer: 321887*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - -1) + (-5 - (0 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 - (1 - (-6 + (7 - -5) - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + (-3 - 1 - (-6 + 4)) + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 841*w - 838*w - 2*i - 21, -i = -24*w - 57 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d + 0*d - 3*d)*(-1 + 1 - d**2) + (-2 + d + 4*d - 7*d)*(-3*d**2 - 2*d + 2*d).\nAnswer: 9*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 770 and 199760.\nAnswer: 1398320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the first derivative of -87*k**5\/5 + 11*k**3 - 258. What is the third derivative of j(l) wrt l?\nAnswer: -2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 159 in 8\/9, 1, 78\/11?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -38800800 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h - 135 = 3*h. Sort h, 2, 5, 4 in descending order.\nAnswer: h, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2557170382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 20*g**2 - 3*g - 22*g**2 + 6*g + (6 - 20 + 3)*(-4*g**2 + 2*g + 7*g**2 + 7 + 0*g) in the form w*g + i*g**2 + z and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2*b**2 + 305*b. Let j(q) = 15*q - 9*q - 10*q. Give j(v(i)).\nAnswer: 8*i**2 - 1220*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(264)*5 + sqrt(264) - sqrt(264))\/(1*(sqrt(32) + sqrt(8))))\/((sqrt(132) + sqrt(132)*-3)\/sqrt(12) - (sqrt(1584) - sqrt(1584)*-3)).\nAnswer: -sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (57 - (7 + -4 + (0 - -8))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2\/3 + 5431*w\/3 - 231500.\nAnswer: (w - 125)*(w + 5556)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -635, -634, -625, -602, -559, -490?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (o + 0*o + 0*o)*(3 + 1 - 2)*(-6 + 0 - 4)*(11 - 2 + 20)*(6 - 2 - 3).\nAnswer: -580*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 251 + 1.12134.\nAnswer: 252.12134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/32486 and -163\/30.\nAnswer: 487290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61370951.\nAnswer: 1109, 55339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -14) + -9 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -406, -927, -1446, -1963, -2478?\nAnswer: -2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4 + -9 + -7 + (2 - 1) + 115\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-87)*(-86768)\/176?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 8) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 4*n - 31, -2*k + 5*n = 8 + 2. Suppose -2*y - 4*g = -0*y - 122, 25 = k*g. Is -3*y*4\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 4*q - 4. Let s(m) = -2*m**2 - 3*m - 3. Suppose 36 - 32 = 2*l, -5*g + 2*l - 19 = 0. Suppose -12 = 3*d - 6*d. Give d*s(f) + g*r(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 84781, 169551, 254321, 339091, 423861, 508631?\nAnswer: 593401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 127\/(49784\/(-672))*4*(-42)\/48.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2. Let r(w) be the first derivative of -5*w**3\/3 + w**2 + w + 4. Let j(v) = 6*q(v) + r(v). Determine d, given that j(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**2\/7 + 341822*z - 11963420 = 0 for z.\nAnswer: 35, 1196342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 404 - 858?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l + 402 - 367, 0 = w + 2*l - 18. Solve -4*x - 50 = -5*r, -3*r + 23 = -w*x + 3*x for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the second derivative of 5\/12*j**4 - 9*j + 0 + 5\/6*j**3 + 0*j**2 - 1\/6*j**6 - 1\/4*j**5. Find m, given that f(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 783.963472 to 1 decimal place.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of -m**4\/20 - 11*m**3\/5 - 363*m**2\/10 + 29*m + 19. Let v(b) be the first derivative of s(b). Factor v(p).\nAnswer: -3*(p + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001870003 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 9*y - 4. Let p be d(-8). Let o(i) = i + 4. Let n be o(p). Suppose h = 2*t + n, -t - 4*h - 4 = -0. Sort 0, t, 3.\nAnswer: t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 2 = l. Let t(w) = -w**2 + 4*w - 2. Let v be t(4). Let j be 39\/(-60) - v\/l. Which is the second smallest value? (a) -0.5 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (4 - (-4 + 21 - 23)) + (-1 - 73).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 1)*(1 - 1 + i) + (-4 + 2 + 0)*(3 - 3 + i) + 0*i - i - i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 5*m + 5*f, 0 = -4*m + f + 3*f + 20. Suppose m*w + 14 - 29 = 0. Suppose -330 + 115 = -w*n. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes before 10:07 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -33.058 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -322.2 - -319.2309. Let t = q - 13.0499. Let a = t - -16. Round a to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1211 (base 4) in base 7?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 664 a factor of 14619921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -110 - -114. Let v = 94 - 67. Suppose -55 + v = -z*c. What is the greatest common divisor of c and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 plus -417?\nAnswer: -417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -29360.6 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**2 + 9*l - 26. Give o(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/13 in -0.4, 2\/7, 5, 4, -0.35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2483736 (base 10) to base 11\nAnswer: 1447082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 45663135 - 12?\nAnswer: 45663123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -143\/51384 and 67\/4282000?\nAnswer: 12846000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from oavwvfvoofo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 PM and 2:03 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8859\/4 + 2234. Calculate the common denominator of 2\/3*(-114)\/(-14) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51d30 (base 15) in base 9?\nAnswer: -434830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.03379598545 + -172.96619563455. Let y = o - -173. What is y rounded to seven decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5263, 19856, 43745, 76906, 119315, 170948, 231781?\nAnswer: 301790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - 2*x - 18 = 0, 5*z - 5*x - 24 = -39 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 36 = 4*g. Let m = 18 - g. Let d(c) be the first derivative of c**2\/2 + 2*c + 1. What is d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7231490 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 0.024, -32\/79 in descending order.\nAnswer: 0.024, -32\/79, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 2*m + 24 = 4*f, -4*f = 4*m. Suppose 4*w - 1477 = -5*b, -f*b + 207 = -2*w + 939. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ftvv when four letters picked without replacement from vtefipipv.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 7, q: 7}. What is prob of picking 2 f and 2 q?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is t in -2*t**5 - 304*t**4 - 9700*t**3 - 6680*t**2 + 87462*t + 84744 = 0?\nAnswer: -107, -44, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 12 = 3*m, 8*p - 3*p + 2*m = -22. Let n(h) be the first derivative of 7\/3*h**3 + 1\/4*h**4 + 2*h + 2*h**2 + 27. Give n(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1257245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9693276*m**5 + 103*m - 35671 wrt m?\nAnswer: -193865520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 127472462?\nAnswer: 2, 13, 4902787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/x**(-22)*x\/(x\/x**(-26)) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39062361.\nAnswer: 3, 13, 43, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2941 and 346.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1a23 (base 13) in base 14?\nAnswer: 15da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m. Let c(j) = -3*j**2 + 5*j. Determine c(o(k)).\nAnswer: -3*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 18 = -3*b, -833*b + 830*b + 22 = 4*s. Let l(n) = 9*n - 2. Let p(d) = -d - 1. Give b*p(q) - l(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 6365, 9332, 12289, 15236, 18173, 21100?\n\"Answer: -5*w**2 + 2982*w + 3388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.037336 nanometers?\nAnswer: 0.000037336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = -43 - -16. What is the remainder when 9\/(b\/(-6)) - -100 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 393 + 26*h - 757 + 2*h**2 + 375.\nAnswer: 2*h**2 + 26*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/(2*sqrt(275) + sqrt(11)) - (-3 + (sqrt(33) - (sqrt(33) - sqrt(66)\/sqrt(2)))\/sqrt(11) + sqrt(3)).\nAnswer: -21*sqrt(3)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001 times 0.5?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xff when three letters picked without replacement from xvvffxfef.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39, -91, -121, -117, -67, 41, 219?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -81\/356 + -2\/89. Put 13, 1, l in increasing order.\nAnswer: l, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.032012 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2789642 to the power of 1\/2, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22 + -29. Let t be ((-3)\/s)\/(5\/35). Suppose 4*j - 4 = t*l, -j - 2 = 2*l - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*o + 32 = 7 - 119. Calculate the greatest common factor of 20676 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1514371 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 5*d**2 - 3*d - 14. Let o be p(5). Find the common denominator of -49\/40 and 3 + -2 + o\/(-165).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**3 - 11*h**3 + 2*h**3 + (-h + 2*h**2 + h)*(-7 - 4 - 4)*(h + 0*h + 3*h).\nAnswer: -130*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5565, -4308, -3051, -1794, -537?\n\"Answer: 1257*x - 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 18664 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j - 10. Let n be 4 + -11 + (8 - 4). Let t be s(n). Let g = 0.4 - 0.2. What is the closest to 0 in t, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 + 4*z**2 + 6*z - 2. Let v be j(5). Suppose 22 = 8*n - 11*n - 5*l, -5*l - 13 = 2*n. Let p be 1 + 1 - (-9 - n). Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 325 + 254 = 3*y. Let p = y + -138. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 6*c**6 - 19*c**2 - c wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-6))\/(3\/18). Let h = q - -1. Let a(m) = 3*m**2 - 5*m. Let g be a(2). Solve g*l - 14 = 4*d - 6*d, 0 = 2*l + h*d - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 21 = j, -2*j = -3*u + 1 + 17. Let b = 29 - 22. Calculate the remainder when (3 + u)\/(5 + -2 - 2) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from edmoenx. Give prob of sequence dxem.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*w + f = -123, 0 = -3*w + 12890*f - 12889*f + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-3 + 1 + 1) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12294120*g**2*l**2 - 4*g**2 + 105661339*g*l**2 wrt g.\nAnswer: 24588240*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -3*s + 8. Let l(f) = -3*f + 8. Let i(h) = 2*l(h) - 3*t(h). Suppose -9 + 3 = -k. Is i(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7630*x**6 - 33008*x**2 wrt x.\nAnswer: -915600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-37 - -38) + 46 + 0. What is the third derivative of b*w**6 - 32*w**6 - 4 + 4 - 3*w + 2*w**2 wrt w?\nAnswer: 1800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.05 - -0.1475189824?\nAnswer: 0.1975189824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 993 is divided by 44?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1722.8 less than 200548?\nAnswer: 198825.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of o**6\/10 + 47*o**5\/15 - 8*o**4\/3 - 680*o**2. Solve b(s) = 0.\nAnswer: -16, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 485 divided by -827.\nAnswer: -485\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -4*b**2 - 17276*b - 34536 = 0. What is b?\nAnswer: -4317, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*x = -469 + 405. Let q(g) = 15*g - 4. Calculate q(x).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2613 and 1809.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 2:30 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2899 - 130585376873?\nAnswer: -130585379772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 379 * -4\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*7\/(-84))\/(((-10388)\/168)\/53).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 12*n**2 - 18*n**2 + 25*n**2 - 2 + 230*n + 3.\nAnswer: -5*n**2 + 230*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 145, -4, -3 in descending order.\nAnswer: 145, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + -2021220110102?\nAnswer: -2021220110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -8*o. Let j(s) = -2*s + 792248. Give j(w(h)).\nAnswer: 16*h + 792248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1 + -5f67887?\nAnswer: -5f67886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 1168608 by -2.\nAnswer: -584304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -2, 4\/7, 3\/11, 7\/122, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - 0 - (-4 + -3) - 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h + 1319 = -522. Let k = h + 442. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2244838586.\nAnswer: 2, 9733, 115321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 63265 greater than 2214318\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -164*u - 13403. Let p be h(-82). Solve -p*l = 15*l + 300 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (0\/(-3 - 17))\/(3 - (2 + -2)). Put 8, -17, s, 4 in ascending order.\nAnswer: -17, s, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*j - 38 = -2*v + 42*j, 9*j + 36 = 0. Let n(t) = 28*t**3 - 11*t**2 + 11*t + 11. Let o(f) = 9*f**3 - 4*f**2 + 4*f + 4. Give v*o(h) - 4*n(h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 790619.8ng in grams?\nAnswer: 0.0007906198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*j**2*r*s - 764*j**2*s**2 - 5259*j*r*s - 10*r*s**2 wrt s.\nAnswer: -1528*j**2 - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 10*d = 25. Suppose 0*v + 3*v = 0. Let l = 0.2 - 0.1. What is the closest to l in d, 6\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 305 minutes after 2:18 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/5627 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - 0) + -1 + -25 + -61 + 77?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2 + z - 4. Let b be g(-3). Let r(t) = -t - 6. Let f be r(-9). Let n = -3 + f. Solve n = b*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -141.88079 rounded to 1 dp?\nAnswer: -141.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 - -3. Let t(x) = 2 - x + 0 + 0*x + 0 + 8. Give t(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 81 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -6\/35 and 55\/203?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 487.5 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-8 - -19) + 0 - 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 7 = 2*z. Suppose 4*j = z*n + 8, 0 = -4*n - 17 + 1. Let h be 4 + (-2 - j) + -6000003. Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -9, 0, -28.\nAnswer: -28, -9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1126 (base 14) in base 12?\nAnswer: -187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 + -8)*(-2)\/6. Suppose -d*s = -5*s + 6. Suppose s*b = -3*b. Solve n + t = b, 3*n - t = 4*t - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2401 - 10021?\nAnswer: -12422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 7860 = 4*h + 1074, -5 = -i. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -28*x**3 + 5*x**2 - 5*x + 5. Let w(a) = 476*a**3 - 84*a**2 + 84*a - 84. Give 84*n(o) + 5*w(o).\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a*a**(-1\/4)))\/a)**41\/((a\/a**(-1))\/a**(-8)) assuming a is positive.\nAnswer: a**(-163\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 9*r - 474. Calculate the remainder when 225 is divided by v(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.31028 + 1.409. Let d = -8.9012 - g. Let y = d + 9. What is y rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2*d = -168. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = -2*g - 39 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 4 = -4*j - 4 - 7, 4*j - 30 + 51 = 5*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(21)\/(sqrt(28)\/sqrt(4)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1225143 (base 7) to base 12.\nAnswer: 77430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the first derivative of v**5\/60 - 7*v**4\/24 + v**3 + 1. Let g(r) be the third derivative of n(r). Give g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of d**3*m + 887*d**3 - 2*d**2*m - d*m wrt m?\nAnswer: d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 491 - 488. Let j(n) = c - n + 5 + 3 - 11. Let m(a) = -2*a**2 - 15. What is m(j(z))?\nAnswer: -2*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -8*q**2. Let a(z) = -13947*z. Determine u(a(i)).\nAnswer: -1556150472*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -567.6 - -534. Let v = 0.37 + -34.37. Let n = p - v. Which is the closest to 3? (a) 0.1 (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14167*w + 11764 wrt w?\nAnswer: -14167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5254\/1349 - (-4)\/38. Solve 0*t = -5*i + 4*t + 17, 5*t + 11 = -w*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + -1 - (24 + -28). Suppose -4*v = -g*u - u - 6465, 2*v + 2*u - 3246 = 0. Round v to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 80*j - 23. Let u = -32 + 34. Suppose y = 5*z - 31, 3*z = u*y + 3*y + 1. Is f(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 + -11. Let m(t) = t**2 + 10*t - 9. Let y be m(c). Let q = y + 35. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 241824.8 to the nearest 100.\nAnswer: 241800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p - 61. Let s(d) = -4*d - 62. Let c(k) = 6*s(k) - 5*t(k). What are the prime factors of c(-13)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -110 - 6*q**2 + 109 - 8*q + 10*q + 2*q**3 in the form t*q + p*q**2 + d + a*q**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3071*u - 103880 = 342*u + 132*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 28376651 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 39.9479771 + -3059.6\nAnswer: -3019.6520229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1 (b) -5 (c) 1002\/11 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -610, -490, -370, -250?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the second derivative of x**4\/4 - 3*x**2 + 6*x. Let p be d(6). Suppose 0*g = -4*s - 2*g + p, -81 = -4*s + 5*g. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (87453\/8316)\/(-41) + (-7)\/(231\/(-12)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(704) + 0 + sqrt(704) + -2 - (-1*sqrt(704))**2*6).\nAnswer: -4223 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8\/(-3))\/((-4)\/126). Let z = v - 119. Let f = z + 51. Calculate the least common multiple of f and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = -j + 5*r + 5, 0 = 5*j - r + 66. Let s(k) = -2*k**2 - 21*k + 11. Let c be s(-10). Let z = c + j. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 - 10*i + 2. Let h(x) = -5*x**2 + 40*x - 10. Let d(a) = -9*f(a) - 2*h(a). Calculate the remainder when d(-12) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j + 3. Suppose -3*k - g - 5 = 0, -2*k + 2 = -0*k + 2*g. Let t be o(k). Let b = 2893\/15 - 193. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 5*n + 31, -6*n = -3*n. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t + 23. Let m = -14 - 4. Let q be w(m). Let l be q\/10*28\/34. Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j**2 + 22596*j - 22596*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1\/2 (c) -0.2 (d) -0.1 (e) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -170*z + 181*z - 66. Suppose -z = 3*b, -b + 2*b - 7890 = -4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 - (-1 - -2) - 0. Suppose -r + 0*n + 11 = n, -5*n + 7 = x*r. Let s = -4 + r. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - d - 1 + (d - 3*d + d)*(-3 + 0 + 7) + 0*d + 7*d - 4*d)*(6*d**2 + d**2 - 2*d**2) as c + t*d**2 + v*d**3 + b*d and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10845 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-102))\/((-1)\/(-3)*(-59)\/(-354)*2).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5697355 to the power of 1\/2, to the nearest integer?\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 144 - 3*d**3 - 153 + 21*d - 15*d**2 + 6*d**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 1539190 = 3*v, b + v - 769590 = -0*v. Let f(z) = -51962*z - 28. Let g be f(-10). Let x = b - g. Round x to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -353*n + 106 = -1088 - 4101 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 842968490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -3*b**2 + 126*b - 123 = 0.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 300 divide 560618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 100*x**2 - 435*x - 23. List the prime factors of j(-17).\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 3*t + 2*t)*(-2*t**3 + 0*t**3 - 2*t + 4*t).\nAnswer: -4*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 6*r + 9 = 0. Suppose -3*y + 0 = r. What are the prime factors of 20 - (-1 + 2 + y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10240.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 52806*f - 52806*f + 28 + 4*f**2 + (101 - 13*f**2 - 101)*(5 - 2 - 1).\nAnswer: -22*f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the second derivative of 128*w**3\/3 + 3*w**2 - 9*w. Let u be m(1). Let a = 1219 + u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1799057?\nAnswer: 13, 138389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 2 (c) 5 (d) -322 (e) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56259 is divided by 28125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1\/8, -0.01, -32, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w + 5922. Let j(z) = 2*z**2. What is j(q(l))?\nAnswer: 8*l**2 + 47376*l + 70140168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -48*k**4 + 5*k**3 - 8*k**2 + 5*k + 131. Let w(n) = 71*n**4 - 7*n**3 + 12*n**2 - 7*n - 196. Let j(z) = -7*t(z) - 5*w(z). Differentiate j(x) wrt x.\nAnswer: -76*x**3 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -0.3, 5\/3.\nAnswer: -0.3, 5\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 10*s + 621 = 0. Which is bigger: -70 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g - 20. Let p(z) = -3*z + 20. Let h(b) = -4*m(b) - 3*p(b). Let y be h(9). Let j = -14 + y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 541 and 275369?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/10*(-95)\/(-171).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.5 (c) -2\/9 (d) -1\/7 (e) 2\/28955 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**2 - 5*s - 8. What is p(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -a**5\/8 - 189*a**4\/4 - 7055*a**3\/8 + 19155*a**2\/4 + 63819*a\/2 - 111159 = 0.\nAnswer: -358, -23, -6, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 - (22 - 36) - 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14330205 a multiple of 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15978 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4036179 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15495*n**4*v**2 + 9703*n*v - v**2 wrt n.\nAnswer: -185940*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (8 - (-2 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 150 - 150.3. Is i <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, 20, -17, -52 in ascending order.\nAnswer: -52, -17, 0, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = 2*y - p - 0*p, 0 = -y - 5*p + 87. Let g(i) = 2 + 4*i + 4*i + 0*i - 1. What is the remainder when y is divided by g(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21495 is divided by 5210.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -2*y - 8, y + 2 = -3*w - 14. Let c = y + 12. Suppose 28 = 4*t + c*h, -h - 3 + 1 = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2467359 and 171?\nAnswer: 2467359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91)*3*-3 + ((sqrt(91)*3 + sqrt(91))*-5 - sqrt(91) - sqrt(91)))\/(sqrt(847)*1 - sqrt(112)*-3).\nAnswer: -31*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-45)\/((-23490)\/2001)*-4?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -205*c - 1689. What is the tens digit of n(-77)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1537776 divided by -256296?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mimmim. What is prob of sequence mm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11.4 + 13. Let z = -2 + i. Let l = 9\/28 - 1\/14. Which is the nearest to 1? (a) 3 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = 4*n + x, -1906*n + 53*x = -1902*n + 2564 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-47)\/(2444\/(-39)))\/(2\/(-24))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 11:44 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is c in -9*c**5\/5 - 3889*c**4\/5 - 23544*c**3\/5 - 48648*c**2\/5 - 35792*c\/5 - 3408\/5 = 0?\nAnswer: -426, -2, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be -1 - (-3)\/(-1 - -2). Let x = -1 + d. Let n = -7 - -7.2. Sort 3\/4, x, n.\nAnswer: n, 3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 12.05. Let y = 6.95 + r. Let z = 6.83 - y. What is z rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - ((12 - 8) + 5) - 16 - 13\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3395 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -29*378\nAnswer: -10962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 45 times 0.14\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 5, 27.\nAnswer: -6, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12169869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1a (base 16) to base 5\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d - 3*d + 2*d)*(2*d - d**3 - 2*d) - 492*d**4 + 10801*d - 5417*d - 5383*d - d**3.\nAnswer: -490*d**4 - d**3 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 550065292 to the power of 1\/2, to the nearest integer?\nAnswer: 23453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 233520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*t + t + 22*t)*(-1 - 3 + 3) + 2*t - 4*t + 0*t + (3*t - 2*t - 2*t)*(0 + 1 + 1).\nAnswer: -41*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 9 = 3*v. Suppose v*a - 4*a + 80 = 0. Let s = 143 - a. What is the remainder when s is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45354163, 45354166, 45354169, 45354172, 45354175?\nAnswer: 45354178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve d = -d + 4*m + 6, -4*d = -m + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -47*h**2 + 26*h**2 - 3*h**3 + 5*h**3 in the form p*h**2 + b + u*h + s*h**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 83 - 645 = 0. Let m = w + -2. Suppose -3*i = 2*g - 187, 171 - m = -4*g - i. Calculate the highest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 303 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 110 - 232?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = 89 + -142. Let u = -43 - y. Suppose 159 = u*o - 1461. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62234088 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: What are the prime factors of 34 - (3 + (0 - 3))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -6870983 to the nearest 10000.\nAnswer: -6870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 164928.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do -8 and 216\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -576698.5 rounded to the nearest 1000?\nAnswer: -577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 256 + 8 = 0. Let r be z\/6 - (-10)\/(-30). Suppose -r*j = -j - 2142. Does 41 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -3*p - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3414845 to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 312 and 2526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eff when three letters picked without replacement from {e: 1, k: 2, f: 11, b: 5}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-33)\/9)\/((-17424)\/(-3168))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 + 3*c**2 + 10*c. Is q(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**2 + 5*j + 20. Let g(z) = 3*z**2 - 6*z - 24. Let f(i) = 5*g(i) + 6*s(i). Calculate f(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2*b - 8 = -3*w, 4*w + 5*b = 18. Suppose x - 81 = -w*x. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the second derivative of 29*u**3\/6 - 3*u**2\/2 + 4*u. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -66 + 31 - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 67678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 31*p**2 - 11*p + 18. Let a be k(-6). Let t be 1332\/a + 2\/(-2). Let g = -401\/350 + t. Find the common denominator of g and -5\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-120)\/42*(-14)\/4*264\/330\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -506*g**2*v**2 - 55432*g**2 - 74820*g*v**2 + 1917*g*v - 3*v**2 wrt v.\nAnswer: -1012*g**2 - 149640*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3, -2\/15, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15541*s - 3928*s + 27469*s + 65909*s + 55925*s.\nAnswer: 129834*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1407 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 35 = 5*x, j + 2*x - 7 = 3*x. Suppose 0 = j*n - 3*n - 8. Solve -n*b = -4*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2.387 (b) -2\/7 (c) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (0 - 2 - 9) + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -157170.7+1\nAnswer: -157169.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14188884?\nAnswer: 2, 3, 23, 101, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/2520 and 12 + -1 - 79676*(-14)\/(-100800)?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 2*y - 5*w - 8, -3*y - 38 = 4*w. Is 13 a factor of 138\/9 + (-4)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.71 - 11.71. Sort 42, o, -0.2 in descending order.\nAnswer: 42, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 11:54 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2 and 3426285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 3*u**3 - 1. Let v be n(1). Suppose 5*t + 407 = 412. Put v, t, -1 in descending order.\nAnswer: v, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-1)\/2)\/((-2)\/12). Let c = -40 + 43. Suppose 54 = 4*i + c*r, -2*i = 2*r - 33 + 5. Solve -3 = -2*v - x*z - 1, 3*z - i = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 106512987 - 14491*z - 106512987.\nAnswer: -14491*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 1:01 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide (-15 + 0\/2)*(-8220)\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3129 by -3.\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -126 - 2?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/433? (a) -0.2 (b) -19 (c) 0 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the second derivative of -2*z + 1\/2*z**3 + 0 + 0*z**2. Let o(b) = b**2. Determine o(t(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6516, 6940, 7646, 8634?\nAnswer: 9904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 1. Let g = 1 + v. Let u(o) = 4*o**2 - o**2 + 0*o**2 - 2*o**2. Determine u(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.5 (b) -3\/4 (c) 3849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 4*t = -267, -2*p + 108 = -13*t + 11*t. What is the remainder when 163 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -f**5\/90 + 19*f**4\/27 - 37*f**3\/27 - 240*f - 1. Factor s(p).\nAnswer: -2*p*(p - 37)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -44*m**3 - 2*m**2 - 3*m - m + m**2 + 42*m**3 as w*m**2 + v + x*m + s*m**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = 3*k - 29, -4*c + 5*k - 6*k - 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 374517 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 20 - 5. What are the prime factors of u + -2 - 1*-13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**2 + n + 34. Suppose -4*v + 4 = -2*a, 3*v + 3 = 3*a + 9. Let o be b(v). Suppose -39*h + o*h + 910 = 0. List the prime factors of h.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1377) + (sqrt(1377) - (3 + sqrt(1377) + 2))**2 + (-2*sqrt(1377) - sqrt(1377)) + 5 - ((4 + sqrt(1377))**2*-1 + sqrt(1377) + -5).\nAnswer: 45*sqrt(17) + 1428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**3 - a**3 - 2*a**4)*(5 - a - 5) - 2*a**4 + 2 - 3*a**5 + 3*a**5 + 2*a**5.\nAnswer: 4*a**5 - 2*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the second derivative of n**8\/672 - n**7\/210 + n**6\/240 + 2*n**2 + 2*n. Let z(q) be the first derivative of b(q). Determine d, given that z(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1923 - 14335?\nAnswer: -16158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 120 = 11*l, -4*p + 3*p + 516 = -13*l + 5*p - p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -2030 by 62.\nAnswer: -1015\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -12*s - 242 + 290 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*1*sqrt(720) + sqrt(720)*1*1)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 5 = -2*m. Suppose 4 = 3*t - m. Let f(x) = 0*x**t - 5*x + 4*x**2 + x**3 + 0 + 7. Give f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47 divided by 39?\nAnswer: 47\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5.6 + -6. Let h = 4.3 - 9.3. Sort 4, v, h in ascending order.\nAnswer: h, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -9*c**5\/4 + 597*c**4 + 7860*c**3 + 17484*c**2 + 8340*c = 0.\nAnswer: -10, -2, -2\/3, 0, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 140111117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**2 - 11*r - 10. Calculate i(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7\/4 in 1.4, -0.3, 1, 0?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of j**8\/2520 - j**7\/504 + j**6\/360 - j**5\/60 + 16*j**3\/3 - 8*j**2 + 2*j. Let r(p) be the third derivative of a(p). Factor r(h).\nAnswer: 2*(h - 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-3*sqrt(133)*-4)\/(sqrt(7) + -4*sqrt(21)\/sqrt(3)) + 1 + -3)**2*1.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from rrrcrcrhcrhhhr?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0\/2)\/(1*-2). Suppose 12 + k = 4*m. Suppose -b + 5 = -m*q, 4*q + 10 = -5*b - 3. Which is greater: 1\/3 or q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 618 and 1110?\nAnswer: 114330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**2. Let z(d) = 2*d**4 - d**2 - 9*d. Let b(r) = -3*m(r) + 3*z(r). Find the second derivative of b(n) wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + p = 2 - 0, -16 = -2*a + 3*p. Let u(k) = 2*k**2 + k. Let y be u(-1). Let s be (-6)\/(-8)*4\/y. Is a not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s**3 - 2*s + 5*s - 3*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 0.2, -3684 in increasing order.\nAnswer: -3684, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-4*j + 0*j + 2*j)*(2*j + 1 - 1) + 2*j**2 - 2*j**2 - 2*j**2)*(31 + 143 + 220) to the form v*j**2 + y + f*j and give v.\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 9) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 + 10*z + 2. Let r be f(-7). Let h = r + 133. Does 38 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 4, -2, 0, -3.\nAnswer: -4, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 42\/(-9) - 1\/3. Let u be l*(-1 + 3\/5). Suppose -u*v + 2 = -2*s, 4*v + v = -3*s + 29. Solve -4*h = c - s*h, -5*c - 2*h = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 2332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.964 + 0.064. Let g = q - -4. Let w = g + -0.2. Which is the third biggest value? (a) w (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 + (-16 - -36) + -17.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 29, -13, -85, -187, -319, -481, -673?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 = -18*g - g. Suppose -u - 2142 = -3*u + 4*s, -g*u + 4*s + 5343 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*z**4\/3 + 558800*z**3\/3 + 1397246*z**2\/3 - 803396*z\/3 + 34930 = 0 for z.\nAnswer: -3, 1\/4, 17465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -88*a - 1581. Calculate j(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {r: 12, w: 2, u: 3}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 16149397 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + q + 3 + 3*q - 4*q - q + q - 3*q + q + 2*q - 1 + 1 + (-2*q - 2 + 2)*(0 + 0 - 2) + 2 - 1 + 2 + 2*q.\nAnswer: 6*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(2\/9))\/(a\/a**(-12)) assuming a is positive.\nAnswer: a**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -419*42.\nAnswer: -17598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1861107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -60*k**3 - 60*k**3 + 110*k**3 - 125*k**2 - 266*k**2 in the form j + i*k + s*k**3 + g*k**2 and give g.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/1*(-16)\/288*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 31269.66ml to litres.\nAnswer: 31.26966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 3*b**2 - 2*b - 91. Let z(t) = 5*t**2 - 4*t - 182. Let n(r) = 7*w(r) - 4*z(r). Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 54\/15 - 6\/(-15). Suppose 7 = x*j - 121. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 8) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -440.545 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/5))**(-26))**35*((j**(-5)*j)\/j*j**(-1))\/((j\/j**(-1\/6))\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(-6685\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 147, 273, 413, 573, 759, 977, 1233, 1533?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3955 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872)*-1 + -1)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 26*t**2 - 25*t - 59. Let j(h) = -2*h + 19. Let o be j(-4). Let g be z(o). Let w = -87 - -87. Which is the nearest to w? (a) 0 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3088 divided by -1544?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**2 - h - 2. Suppose 0 = -5*c + 2*o + 10, -3*c = -4*o - o + 13. Let a(s) = -s**2 - 2*s - 1. Let x(t) = c*v(t) - 5*a(t). Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -4*s - 6 - 10, -5*r = s + 20. Let a be s\/(-1 + -1 + -1). Let a*c**2 - 2\/7*c + 2\/7*c**3 + 0 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11460 + -4333. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 5340264 (base 8) to base 13\nAnswer: 3abb58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-848)*10\/(-3)*(-1)\/(20\/(-24)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -424 (base 12) to base 8.\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -4*a**3 + a**2 - 8*a + 27. Let u be g(5). Calculate the remainder when 181 is divided by ((u\/10)\/(12\/30))\/(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7*j*n**3 - 27*j*n**2 + 5*j*n + 3659*n**3 wrt j?\nAnswer: -7*n**3 - 27*n**2 + 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 156945726?\nAnswer: 2, 3, 7, 177943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**5\/3 - 92*z**4\/3 + 205*z**3 + 2650*z**2\/3 + 356*z\/3 - 1176 = 0. What is z?\nAnswer: -98, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -81873580*h*x**3 + h*x**2 - 11*h*x - 11*h + 6836*x**2 + 2*x wrt x.\nAnswer: -491241480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u + 25. Let w be 1 + (114\/(-9) - -2) + 114\/171. Determine b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -206*p**5*v**2 + p**2*v**2 + 2*p*v**2 + p*v + 3*v**2 - 110*v wrt p.\nAnswer: -4120*p**3*v**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*1*sqrt(24))\/(1*(sqrt(2) + sqrt(8)\/sqrt(4))))\/((-1*sqrt(100) - sqrt(100))*-3 - 3*(sqrt(100) + sqrt(100) + sqrt(100)*2)))**2.\nAnswer: 1\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c**5\/5 - 28*c**4\/5 - 512*c**3\/5 + 96*c**2\/5 + 6336*c\/5 - 1728 = 0 for c.\nAnswer: -6, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:58 AM and 11:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -12197264*g**3 + 4185847?\nAnswer: -36591792*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -23, -9, 6814, 13 in descending order.\nAnswer: 6814, 13, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 16034546 by 1457686.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27500*t = -27517*t + 612. Calculate the highest common divisor of t and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from skkkskkkkskksskkkk.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 4. Let s(x) = 4*x - 5*x - n - x - 2*x. Let q be s(1). What is the closest to 1 in -0.5, q, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.0274 - 0.2726. Let m be 25\/30 + 1\/(-2). Let b = 4.91 - -0.09. What is the nearest to 0 in n, b, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 34738016*t - 63*t**2 - 34738016*t. Let o(w) = 2*w**2 + 6. Determine g(o(d)).\nAnswer: -252*d**4 - 1512*d**2 - 2268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 212772 and 18921?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-438)\/16 - (60\/(-32))\/5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by -1019581.\nAnswer: 9\/1019581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 472732.\nAnswer: 2, 13, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m + 3. Let q be c(-2). Suppose -q = -d - 2. Suppose -d*h - 12 = -6*h. Solve 0*b + h = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z - 24 + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(2\/13))**(1\/9))**(-12\/11)\/((x**(-1\/3)*x)**(-7\/2)*x\/(x\/(x**(2\/13)\/x))*((x**(-1\/12)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(10715\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/45 - 34\/(-9). Sort 2\/7, 0, q in increasing order.\nAnswer: 0, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (702 - -2) + 1 + 0 + 1.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -3 (b) 4\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 0, -0.03, -3, -26, 4\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14949300*t**5 - 7635414*t.\nAnswer: 298986000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 + i - 12. Let f be y(0). Let b be 3\/f*3 + 70\/72. Solve 0 - b*x**2 + 2\/9*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of -5*n**4\/14 + 32*n**3\/21 + 41*n**2\/7 + 40*n\/7 - 3094. Let k(q) = 0. What is q?\nAnswer: -1, -4\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 13*j + 19*j**4 - 8*j + 4*j wrt j?\nAnswer: 228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13252121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.9077 - 2.0923. Which is the fifth biggest value? (a) -3 (b) 4 (c) -2.5 (d) i (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 209691.\nAnswer: 3, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -n - 2*o = -52 + 43, 0 = n + 5*o - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 17 (b) -0.3 (c) 2\/3 (d) -1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 93 - 91. Let r(y) = 200*y + 77. What is the hundreds digit of r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 38 (base 10) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s = 5*m - 3, -1 + 56 - 44 = -3*m - 2*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 80043897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*l + 163 + 23. Suppose 5*v + 5*f - 65 = 0, -l + 11 = -5*f. What is the smallest common multiple of v and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4276 divided by 2069?\nAnswer: 4276\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w**2 + 0*w**2 + 2*w**2)*(0*w + w**2 + 0*w) + 9*w**3 + 97*w + 2*w**4 + 100*w - 155*w.\nAnswer: 4*w**4 + 9*w**3 + 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 + t**2 - 5. Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from etnotttntr. Give prob of sequence nro.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35202499 to the nearest integer?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 22288726 + -0.1945045.\nAnswer: 22288725.8054955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u**2 - 18*u - 31. Let a(g) = -g**2 - 585*g - 5752. Let k be a(-10). Calculate l(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 3*m - x, -5*m - 696*x + 5 = -698*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -3*r + 41. Let u be q(13). Let a(f) = -103*f - 117*f - 1 + 221*f. Let i(s) = 4*s - 3. Determine u*a(g) - i(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1878341 + -1097644. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 + (-9)\/(28\/(-9) + 3). Let m = j - 36. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1132916 + -3.\nAnswer: 1132913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 366023.\nAnswer: 7, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - (0\/(-4))\/(-4). Suppose -29 = -2*f - s*q + 17, -f - 4*q + 29 = 0. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + 6. Let k = -3.1 - 12.9. Let a = n + k. What is the closest to -0.1 in 4, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -2*v**2 - 18*v + 1. Let j(x) = -2*x**2 - 31*x + 3. Determine -j(s) + 2*u(s).\nAnswer: -2*s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/(-3) + (-3)\/27. Let l = -171 - -172.3. Let d = l + -6.3. Which is the smallest value? (a) d (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is j in -70*j**3 + 915*j**4 - 930*j**4 + 249*j**2 + 180*j + 16*j**3 - 108 = 0?\nAnswer: -6, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.30498 rounded to two decimal places?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of -1\/6*n**4 + n + 0 + 0*n**3 + 1\/20*n**5 + 0*n**2. What is the third derivative of q(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -109 + 107. Let l = -3 + -3. Let o = 10 + l. Which is the nearest to v? (a) 0.1 (b) 4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 32368.9 nanoseconds?\nAnswer: 0.0323689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 13819012 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 45 + 21 = -d, b + 3*b = 0. Calculate the remainder when 13414 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -16 + 20. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a factor of 119664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18018 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the first derivative of -c**3\/3 + 7*c**2 - 31*c + 10. Let a be b(3). Solve -17 = -3*g - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -347\/12 - -113\/4. What is the second smallest value in -2\/7, m, 10, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + (86 - 8) + -1 + -1 + -13?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 1, s: 1, k: 2, r: 3, t: 7, y: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.083 - 4.217. Let g = -4.5 - u. Suppose -3*c - 16 = -7. Sort 3, c, g, -5 in ascending order.\nAnswer: -5, c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -m**5\/150 + m**4\/5 - 12*m**3\/5 - 8*m**2. Factor d(g).\nAnswer: -2*(g - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, j: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 564106 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - (60 - (48 - 7) - (12 - (-4 - -4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 PM and 7:45 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 130*a**6 + 51*a**2?\nAnswer: 15600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (55\/3)\/((-1)\/(-3)). Suppose 123 = 3*o - 3*s, 5*o = 23*s - 22*s + 197. Let n = -28 + o. What is the highest common factor of n and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 PM and 1:06 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from wewe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 396479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1021 divided by -5\nAnswer: 1021\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-51) + 24\/(-663). What is the nearest to -3\/2 in 3, j, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42*n - 1 - 2*n**3 + 1 + 37*n to the form b*n**3 + s*n**2 + w + o*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.435 and -23.4.\nAnswer: -56.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 239\/2 - 129. Calculate the common denominator of -43\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, -7, -2, -5 in increasing order.\nAnswer: -13, -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -323, -291, -241, -173, -87?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**2. Suppose -2*c - 11 = 1. Let i be (6\/(-5))\/(c\/15). Let s(d) = 1 - i*d**2 - 1. Calculate s(n(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 3411, 26737, 90041, 213309, 416527?\n\"Answer: 3331*g**3 + 3*g**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-98)\/(-196)*6708\/(-43)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does -267 = 512337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 416814862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 4*b + 2*b + 20 = 0, 4*f = -b - 20. Let h be ((-5)\/10)\/((-1)\/f). Is -31*(0 - h)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 97 + -64. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8.37 - 8.3702101. Round u to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 117 + -97. Calculate the smallest common multiple of 44 and (-2)\/(-8) + 795\/s.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 3*c - 4*c. Let q be -14*(0 + 24\/c). Let w = q + -1. What is the least common multiple of 5 and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide ((-11)\/(-7) - -1)*98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/z**(2\/11)*z**4)\/((z**(-3)\/z*z)\/((z**(-2)\/z)\/z)) assuming z is positive.\nAnswer: z**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 2*b**2 + 4 - 2*b**3 - 3.\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4244206366 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 75.46 + -70. Let r = v - -0.54. Sort r, 0, -0.4 in descending order.\nAnswer: r, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 3*h**2 - 10*h - 2. Let t(j) = -2*j**2 + 10*j + 2. Calculate 3*g(o) + 2*t(o).\nAnswer: 5*o**2 - 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6674579 millennia to decades.\nAnswer: 66.74579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that t**4\/7 - 148*t**3\/7 + 4174*t**2\/7 - 7332*t\/7 - 1665 = 0.\nAnswer: -1, 3, 35, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -2*m**5\/13 - 576*m**4\/13 - 2268*m**3\/13 + 1160*m**2\/13 + 6798*m\/13 - 5112\/13 = 0. What is m?\nAnswer: -284, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*l + 0*l**2 + 34*l**2 - 11*l.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -1 + 2*sqrt(7)*2 + sqrt(7)*-2*-2)**2 + 2 + 1.\nAnswer: -80*sqrt(7) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3098 is divided by 1044.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (30\/(-180))\/((-21)\/(-18))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is q in 3*q**5 - 198*q**4 - 3681*q**3 - 20352*q**2 - 45324*q - 35424 = 0?\nAnswer: -8, -3, -2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 12:19 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 17811647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 181*k - 213*k = -32 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.4, 1, 0?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14240859.\nAnswer: 3, 47, 100999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 23441444*i**4 + i**3 - 110879544*i**2.\nAnswer: 562594656*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.46 - -0.06. Let i = 7 + -6.9. Which is the smallest value? (a) u (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2139785, -8559331, -19258635, -34237697?\nAnswer: -53496517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -418 + 421. Suppose -5*r + 18 + 17 = 0. Let q(p) = -p**2 + 6*p + 9. Let o be q(r). Solve 0*m + j*m = 2*l + 15, m - o*l - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 673 (base 9) in base 7?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 51*a**2 - 4*a - 2. What is the tens digit of h(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5530847919.\nAnswer: 3, 31, 59471483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 31290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 1130405 (base 6) to base 12\nAnswer: 29a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6.704 + -1.196. Let m = 179.526452 + -171.62645795. Let x = m + r. What is x rounded to seven dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 44.18 + 0.82. Let s = -46 + i. What is the third smallest value in s, -0.1, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 847555, 1695110, 2542665, 3390220?\nAnswer: 4237775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 8*q**2 + 3*q - 5. Let z(x) = -8*x**2 - 2*x + 4. Give -3*k(m) - 4*z(m).\nAnswer: 8*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be -5 + 6\/(-12)*0. What is the third biggest value in l, 2\/3, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6287140 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 305 or 214366\/705?\nAnswer: 214366\/705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 50\/23 + -696\/299. Which is the second smallest value? (a) -4 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 56 + 12124?\nAnswer: 12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p = -5*c + 168 - 136, -27 = -5*p - 3*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*c + 1601 = -6*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 742*u = 639*u + 309 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/7 or 287007\/5?\nAnswer: 287007\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 12, 5, -20, -69, -148, -263, -420?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22594 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*t - 17*t + 4*t + 2*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92401*l**3 - 5088*l**3 + 128509*l**3.\nAnswer: 215822*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5502 and 5159042.\nAnswer: 15477126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/16)\/(1*15\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2875355 is divided by 807?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.93 - 0.38. Let t = w - 0.45. Which is greater: t or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the second derivative of -3\/20*x**5 + 3*x + 0 + 0*x**4 - 1\/2*x**2 + 0*x**3. What is the derivative of g(a) wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, -0.4, -0.04, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1295233us in nanoseconds?\nAnswer: 129.5233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-30))\/(60\/80)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1684 divided by -2.\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 533225000 rounded to the nearest 1000000?\nAnswer: 533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, h: 3}. What is prob of sequence hhb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -5*s**3 + 121*s**2 - 25*s - 98. Calculate g(24).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pxx when three letters picked without replacement from {r: 9, x: 2, p: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are -11636722\/3 and -3878906 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -544002, -543921, -543840, -543759?\nAnswer: -543678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 392 = -0*m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*g - 220 + 66. Let w be 4\/g - 1475\/(-55). Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12667325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -111101 (base 4) to base 13\nAnswer: -809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2156 and 904442?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-9))**(-3\/16) assuming o is positive.\nAnswer: o**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -56*y**2. Let z(g) = -3*g**2 - 2. Determine v(z(p)).\nAnswer: -504*p**4 - 672*p**2 - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes before 9:15 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1362599, -1362595, -1362589, -1362581?\n\"Answer: l**2 + l - 1362601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.21 - -1.79. Sort -3\/7, -4\/5, h in increasing order.\nAnswer: -4\/5, -3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3\/5051 - -10057\/75765. Sort n, 1\/6, 14\/61 in ascending order.\nAnswer: n, 1\/6, 14\/61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - 564150?\nAnswer: -564144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -2*t**3 - t**2 - 3*t - 3. Let r be y(-2). Let s be ((-3)\/(-15))\/(9\/r). What is the third biggest value in s, -0.9, -2, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2888 + 696. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.4*-0.0325\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 29283 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1858.39 < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 4009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 55356.\nAnswer: 55356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**2 + 3 + 1 - j + 0*j**2 + j**3 - 5. Suppose 2*b + 6 - 14 = 0. Let s(q) = -6*q**3 + q**3 - 4*q**2 + 0*q**3 + b*q + 4. What is -12*m(v) - 3*s(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*m + 8*m = 52*m + 14379712. Round m to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/(-5))\/(2\/(-30)). Let g be (-3)\/j + 3\/2. Let a = 114 - 113.97. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -3*i**2 + 2*i + 6. Suppose h + 50 = -3*x, -x - 3*h - 9 = 13. Let b be 68\/x + (-3)\/(-12). Let p(t) = 2*t**2 - 2*t - 5. Give b*p(n) - 3*d(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16378 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -14 (base 6) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 89, -3, -1, -4, 15 in decreasing order.\nAnswer: 89, 15, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*s**4 + s**4 - 3*s**4 - 3*s**4 + 5*s**4 + 0*s**4 + (s - 3 + 3)*(2 - 2 + s**3) + 3*s**4 + 0*s**4 - s**4.\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {f: 2, w: 4, h: 2, z: 3, y: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 521984252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 102 minutes before 4:00 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 144*b*l**5 - 5493*b*l**3 + 75181*b - 154*l**2 wrt l.\nAnswer: 8640*b*l**2 - 32958*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.28 - -126.28. Let j = -136.6 + z. What is j rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1963065*n + 1325583?\nAnswer: -1963065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 - 11*h + 4. Let v be o(-11). Suppose i + 444 = v*i. Suppose 4*n - 2*t - 148 = 0, 4*t - 3*t - i = -4*n. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 11*j**3 - 6*j**2 - 8*j - 4. Let q be y(-3). Let x = q + 509. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 5, 48, -3, 2, -1 in descending order.\nAnswer: 48, 11, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 1 = -5*z. Let r = -4 + 4. Suppose 3*i = -o - 2 - 10, -3*i - 3*o - 12 = r. Sort i, -5, z in descending order.\nAnswer: z, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**4 + 5224*a**3 - 36724*a**2 + 52520*a.\nAnswer: 4*a*(a - 5)*(a - 2)*(a + 1313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 - -11. What is the second derivative of 2*g - 3*g**2 + 1 - 1 - m*g**2 wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 66 - 68. Let g(j) = -8*j**3 + 2*j + 1. Calculate the remainder when g(s) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*l + 1, -2*j + 4*l + 4 = 0. Suppose -5*n = 3*z - 3*n - 70, 98 = j*z + 5*n. Calculate the least common multiple of 16 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 5*l - 3 = -2, -3*l + 1 = -2*b. Let o = b + -17. Let f = o + 39. Solve -4*t - 3*z - f = 0, 4*t - z = 2*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -5*(-3 + sqrt(512) + 0))**2.\nAnswer: -2720*sqrt(2) + 13089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -134 + 403\/3. Let x = -24.027 + 0.027. Let h = x + 21. What is the fourth biggest value in h, a, 5, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -3862.\nAnswer: -1\/3862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3711.9 + 3971.478\nAnswer: 259.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 6*y + 9. Let c(n) = -n - 1. What is 5*c(t) + z(t)?\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -23? (a) -3 (b) 5 (c) -2\/187927\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 101971524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do 4 and 37\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 990 and 7744654?\nAnswer: 7743664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -q**5 - 27*q**3 + 2*q**2 - 43*q wrt q.\nAnswer: -60*q**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 4 = -a. Suppose -a*r - 4 = -4*r. Suppose -50 = -2*f - r*m, -m + 210 = 5*f + 85. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1120 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 - 15689*o + 219794. What is y(14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21 (base 10) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.3, -4, 213736.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 269719.\nAnswer: 269719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -490214, -3921708, -13235758, -31373642, -61276638, -105886024, -168143078, -250989078?\n\"Answer: -490213*b**3 - 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 4*f**2 + 2*f - 10. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36342, -36773, -37542, -38691, -40262?\nAnswer: -42297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-2))\/((-26)\/((-156)\/42))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*k + 0*k + 3*k - 10*k to the form i + q*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 52511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*g = -12*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348 is divided by 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1637 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 849079 (base 10) to base 8\nAnswer: 3172267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**3 + 618*h**2 - 3207*h - 8862.\nAnswer: 3*(h - 7)*(h + 2)*(h + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/19 + 57730*k**2\/19 - 415987286*k\/19 - 8761210458\/19.\nAnswer: -2*(k - 14443)**2*(k + 21)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(16\/12) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -6539\nAnswer: -4\/6539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 304 + -4?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 0. Suppose 34*n - 32*n = 0. Suppose -4*y = 4*p - 2*p + 12, -5*y + p - 8 = n. Which is the second smallest value? (a) 1 (b) g (c) y (d) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(25)\/sqrt(45) - (sqrt(5) + -3)*6.\nAnswer: -17*sqrt(5)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 29 - 34 + 2*n - 2*n + n**2. Let b be l(-3). Let r(c) = -c**3 + 4*c**2 + 4*c. Let u be r(b). Solve -5*h = 2*s - 8, -h + s + u = 5*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 4*h - 14. Suppose -h*p + 6 = -p. Suppose -2*c = -3*x + 47, 0 = -3*x + 5*x - c - 30. Solve -g - p*b + 12 = 0, 2*g + x = -5*b + 34 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**2 - 9*c - 2. Let t be v(10). Find the third derivative of -d**3 + 7*d**3 - 51*d**2 + t*d**3 + 43*d**2 wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x**2. Let n(r) = -624*r**2. Give z(n(t)).\nAnswer: -778752*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/1571, -2\/3, 1653?\nAnswer: -1\/1571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (392 - 392 - 26*v**3)*(1 - 1 + 2*v) + 61*v**3 - 2*v**4 - 61*v**3 as w*v**3 + j*v + c*v**4 + p*v**2 + x and give c.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2691733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -226 = -3*n - a, 0*a = -2*n + a + 159. Let k be 209\/(-19)*(-28)\/n. Determine l, given that 7\/3*l**2 + 16\/3*l + k + 1\/3*l**3 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -12. Let j be 8\/k*(-57)\/4. Let p = j - 24. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -525*j + 107*j + 235 + 115*j + 110*j + 192*j.\nAnswer: -j + 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -3*i - 3*r, i + r = -4*r + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1616205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000006602 rounded to seven decimal places?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 2*n = 24, -5*v - n + 42 - 15 = 0. Solve 0 = -5*k - 10 - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3728 + 199 = -81*k - 1095 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oylo when four letters picked without replacement from {l: 4, h: 2, y: 4, o: 2, q: 2}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -0.00401?\nAnswer: 0.01203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0 * -2226.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -442616903 - 0.01.\nAnswer: -442616903.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -644.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a + 1. Let t(q) = -6*q - 3. Suppose 0 = 3*u - 6 - 3. Let l = -14 - u. Calculate l*y(k) - 6*t(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2 (b) -28\/849 (c) 0 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 24*v + 484. Let l be z(-20). Let j(t) be the third derivative of 11*t**2 - 5\/6*t**3 + 2\/3*t**l + 0 + 0*t. Differentiate j(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 31*r + 81 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65*u**2 - 63*u**2 + 131*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*s**2 + 8*s**3 + s**4 + 37*s - 36*s - 5 + 5 + 3 - 2 to the form p*s**3 + b*s + l*s**4 + v + g*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*j - 12*j + 9*j - 3*j + 6*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 7*s + 5*s - 2*s**3 - s**4 - 6 as x*s + a*s**2 + h*s**3 + p + t*s**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -90105, -179895, -269685, -359475?\n\"Answer: -89790*z - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 292 - 296. What is the closest to -0.4 in p, -2, -0.1, -71?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 34*k + 932. Calculate q(-68).\nAnswer: -1380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 778809.4ng?\nAnswer: 0.0000007788094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/(-19*42\/(-532))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -12 - -8. Let v be ((-5)\/h)\/(1\/40). Let c = v - 199\/4. What is the biggest value in 4\/7, -1\/4, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8197002 less than -155.095?\nAnswer: 8196846.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 + -12.73. Let h = 0.2699962 - b. What is h rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-4)*3*120\/18. Suppose 3*l = 4*u - 363, -5*l - 18 = -u + 77. Calculate the highest common factor of y and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2375019 a multiple of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (18*15\/(-225))\/((-1)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/7*(-2)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*a**3 - 2*a**3 - 4*a**3)*(0 + 3 - 2)*(3 - a - 3 + a + a - 3*a + (-2 + 6 - 2)*(3*a - 7*a + 3*a) - 5*a + 2*a + 4*a + 6*a + 6 - 6).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -373 - -375. Find the second derivative of -21*v**2 + 9*v**h + 58*v**2 + 23*v**2 + 47*v wrt v.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.32 + 0.3. Let p = 5.398 + -6.398. What is the third smallest value in 4, p, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -7 (c) 1 (d) -26 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 2, u: 1, q: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -10011111011110010111 (base 2) to base 16\nAnswer: -9f797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46887 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19*36\/(-1026))\/(2\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 - 32b9ac1?\nAnswer: -32b9ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -421135774 or -421135773?\nAnswer: -421135774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 16*k**2 - 2*k - 1. Let q be f(-1). What is the highest common divisor of q and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 74 in -16, -3, 11, -2\/9, 0.19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 15*j - 6. Let w be z(-2). Suppose -5*o - 15 = 0, x + x - 2*o = -30. Let m be (-4)\/x - 172\/w. Solve -m*d - 9 = 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1839431 to the power of 1\/2, to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 10*h**2 + 4*h - 3. Let b(a) = 10*a - 16. Let c be b(5). Let y = c + -39. What is the hundreds digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the second derivative of 13*r**3\/6 - 203*r**2\/2 + r - 90. Is d(24) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10298945?\nAnswer: 5, 1171, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.241*4\nAnswer: 0.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((1 + sqrt(1100))*-5 - sqrt(1100))**2*6 + (sqrt(1100)*1 + -1 + sqrt(1100) + sqrt(1100)*-2 + -5 + sqrt(1100))**2 + 0)*3.\nAnswer: 10440*sqrt(11) + 716658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -118 * -87385.17.\nAnswer: 10311450.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 3*n + 4, -119 + 23 = -4*v - 4*n. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (20\/(-5))\/(6\/(-27)). Let x be 1\/(-3) + 78\/k. Suppose -2*s - 50 = -x*s. Solve 5*y = 4*f - 41, f + 4*y - 9 = -s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -n**3\/21 - 2*n**2 - 160*n\/7 + 9773. Determine z so that b(z) = 0.\nAnswer: -20, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*-2*(-1)\/(-4). Suppose -n - h = 0, 4*n + 0 - 16 = -4*v. Let a = v - -35. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + -1)*-2 + -2 + (sqrt(171) - 6*(-1 + sqrt(171))**2).\nAnswer: -1032 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**4 + u**3 + u**2 - u + 1. Let i(q) = -2*q**4 + 8*q**3 + 42*q**2 + 84*q + 51. Let d(r) = 2*i(r) + 6*l(r). Factor d(s).\nAnswer: 2*(s + 2)*(s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -198*v**2 - 1977*v + 31. Determine q(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 + 0. Suppose -3*k - u = -5*b, -2*k - 18 = -2*b - 5*k. Which is greater: b or 5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 14*h - 11. Calculate p(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 70*y - 224*y + 99*y + 2*y**2.\nAnswer: 2*y**2 - 55*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 40503.78*-0.2\nAnswer: -8100.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + 7. Let j = -18 - -19. Let u(z) = z**2 - 1. Let m be u(1). Sort q, j, m in descending order.\nAnswer: q, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 428 and 379819933?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -17*z**3 - 9*z**2 + 69*z - 1. Let n(g) = 4*g**3 + 2*g**2 - 17*g. Determine -9*n(v) - 2*q(v).\nAnswer: -2*v**3 + 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 44 = 4*s + 21, 764*s = 717*s + 3*m - 9 + 48 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 991613351 to the nearest integer?\nAnswer: 31490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 168 and 36?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that 10*s**3\/3 + 437846*s**2 + 3677846*s\/3 + 788106 = 0.\nAnswer: -131351, -9\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.2, 14834, 0, 0.135, -0.2.\nAnswer: -2, -0.2, 0, 0.135, 0.2, 14834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of 16*w**2 - 25*w + 98. What are the prime factors of z(6)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from bokqueou.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 52067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a - 223 = -187. Solve s + 3*x = 6, -3 = 3*s + a*x - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-2 + 3 + -1*((sqrt(147) - (sqrt(147) + 1))*-5)**2*-4).\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 309.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 445794720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 0*b + 2, 0 = l + b. Suppose -3*a + 30 + 30 = 0. Suppose -f = a - 23. Solve 4*w = 20, 0 = f*n + 4*w - l*w - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-310)*-3)\/((287\/(-205))\/((-161)\/(-69)))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 323913 - 117?\nAnswer: 3237a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -4*a**3 + 2*a**2 + 2*a + 12. Calculate y(5).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 12106 (base 8) in base 16?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-6)*j)\/(j\/j**(-17)) assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 418286.\nAnswer: 2\/209143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 89.59917 minutes to hours.\nAnswer: 1.4933195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8 + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (221 + 56 + 22 - 15)*(34*x + 38*x - 74*x).\nAnswer: -568*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 z when three letters picked without replacement from {s: 1, z: 2, k: 6, j: 1, a: 4, w: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -13*t**2 + 36*t + 1. Give k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -3) + -2 - (-2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(51)*-2)\/sqrt(3) - (2*sqrt(85))\/sqrt(5))**2 - (sqrt(17) + (sqrt(17) - sqrt(34)\/sqrt(2)*5))*-1.\nAnswer: -3*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 0.24, -1, -10, 1, -3, 31.7 in decreasing order.\nAnswer: 31.7, 1, 0.24, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 115\/48 - (-24)\/((-432)\/42). Is m less than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.4 + 7. Let h = 54 - 65.5. Let t = w + h. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (19 - -1)\/(-2)*45\/(-30). Let w = -13 + k. Let n be (9 - 4)*w\/(-16). Is n at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeqehedhet. What is prob of sequence qd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 136901861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -15 - 5. Let d(l) = -2 + 4*l + 3*l + 2 + 5*l**2 - l**3 - 2. Let s be d(6). Which is the second smallest value? (a) s (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 638 + -635. Let z(i) be the first derivative of 4 - 1\/6*i**2 + 0*i + 4\/9*i**d - 4\/15*i**5 + 1\/12*i**4. Factor z(a).\nAnswer: -a*(a - 1)*(a + 1)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 962 - -156?\nAnswer: ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/2761248 and -41\/1764?\nAnswer: 8283744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 572.621t?\nAnswer: 572621000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r + 4*n - 8 = -9*r, -2*n - 26 = 2*r. Which is the third biggest value? (a) 4 (b) r (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 2*l**2 + 22*l + 8. Suppose 4*v = 4*z + 60, 2*z - z + 2*v + 3 = 0. Let c be h(z). Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-14)\/4)\/7)\/((-2)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-30)*-6)\/((-98)\/(-35)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - 65?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of -b**8\/120960 - b**7\/7560 - b**6\/1080 - b**5\/60 - 5*b**2. Let r(p) be the third derivative of d(p). Factor r(n).\nAnswer: -(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 7.8 from 49745.\nAnswer: 49737.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = 4*n + 3*q + 10, 2*q = -2*n. Suppose 2 + 62 = 4*d + p, -2*d = -n*p - 54. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -379\/3077 - -1\/181. Let t = -5.97 + 1.97. Put 3\/7, -2\/3, t, p in descending order.\nAnswer: 3\/7, p, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i. Let v(a) be the third derivative of 1\/20*a**5 + 0*a**3 + 0*a + 0 + 0*a**4 + 3*a**2. Give v(g(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -8, 1, 0.8, -4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from eaaeaaaeaeaae.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s**25\/s*s)\/s)\/s**(-24\/5))\/(s\/s**(-8\/3))**(1\/52) assuming s is positive.\nAnswer: s**(22409\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(-14) + (-506)\/7. Let s = -35 - a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-20) + 0)\/(36\/72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 489679 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -5, 692, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -93*c**2 - 13*c + 13. What is g(1)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75512 is divided by 4127.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 - -2. Let b(m) = -m**2 - 135*m - 1020. Let z be b(-8). Put 2, p, -3, z in increasing order.\nAnswer: z, -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of h**3\/6 - 42*h**2. Suppose 0 = -i + 5*q + 17, -29 = 7*i - 4*i + q. Let a(o) = -1 - 1 - 1 + 2*o - 3. Determine i*m(k) - a(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 PM and 6:32 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/3 + (-26)\/6. Let g = -2771 - -2376.4. Let p = 395 + g. Which is the third smallest value? (a) -4 (b) y (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 284140 = 252*a + 305560 for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 84 divide 5073408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 PM and 4:41 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*m - 53*m - 50760 = -188*m. What is the lowest common multiple of m and 564?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 + -6 - 2) + (3 + -15 - -6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 17 - (-1 - -1 - -3). Let u be -2 + -1 + (1 - -18). Suppose 5*n = u + x. Solve -5*d = -5*w, -w + n = -4*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001 + -1111110000011101011?\nAnswer: -1111110000011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/(-3) + 5*-1. Calculate the remainder when 14 is divided by (-30)\/g + 3\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - s - 120499996, -4*z - 5*s = -6*z - 48200020. What is z rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1213286\/7 or 173326?\nAnswer: 1213286\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12405223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-123)\/6)\/(2\/12). Let y = -87 - r. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 40765416 (base 8) to base 9.\nAnswer: 17236218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6.48 - 1.48. Which is the biggest value? (a) f (b) 10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1141\/244 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*l**3 + 106*l**3 - 117*l**3 - 206*l**3 + 105*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-832)\/(-48))\/13*6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(-18))\/(2\/12). Let i(l) be the first derivative of -k*l**3 - 2 + 1\/5*l**5 + 0*l**2 + 0*l**4 + 0*l. Find the third derivative of i(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 227639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 - -1. Suppose -4*f = -4*x - x - 5, -3*x = -f - l. Suppose 4*t - 2*v + 6*v - 28 = 0, -t + f*v = 11. Solve 5*z + 16 = 4*g, 4*z + t*g - 16 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -11, -101798, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1919430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**4 - 44*s**3 - 48*s**2.\nAnswer: 4*s**2*(s - 12)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 10806?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oooroooooorrro. Give prob of picking 1 o and 3 r.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.5 + 2. Let x = 2.12 + -2. Let r = -0.22 + x. What is the second biggest value in -0.2, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.4 - -5. Let l = 75 + -110. Let u be l\/14 + (-11)\/(-2). Put -5, v, u in ascending order.\nAnswer: -5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10194 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 2*c**2 + c. Let i be h(-2). Let s be 2\/i + 16\/6. Suppose 0 = 35*m + 757168 - 758533. Calculate the greatest common divisor of s and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = 2*o + 2*g + 25, g + 16 = -3*o. Let r(k) = 3*k**3 + 21*k**2 - k - 4. Let j be r(o). Solve 4*z + 0 - j = 3*v, -3*v - 2*z = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 1 - (5 - (24 - 24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 115 - 120. What is the biggest value in 4, 3, -0.4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 53.7165t in grams?\nAnswer: 53716500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 11. Let j = 155 + -151. What is the highest common factor of r and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes before 9:28 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*q**2 - 12*q**2 + 24*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (29 - 14 + 13)*(-10715 + 10715 - 91*j**2)*(-2 - 3 + 6).\nAnswer: -2548*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -20.6452831 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 + 6*l - 4. Suppose -3*j + 5*j = 12. Let x be v(j). Suppose x = 2*s - 8. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000757948 to seven dps.\nAnswer: 0.0000758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 2*h = -56. Suppose -13*w = -2*w - 44. Suppose n = 4 + 1, w*n = -4*j + 80. Is h <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 685*t**3 + 68 - 121 + 53.\nAnswer: 685*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 13*u - 7. Let n be (8\/9*3)\/((-2)\/3). Let r be v(n). Let d = r + 151. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -22 in 0.44, 13.5, -1371?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 15239 - 76227\/5. What is the common denominator of 4\/10 + (-309)\/10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*o - 0*o - 12, 0 = 5*k - o - 46. Let q(d) = d**3 - 6*d**2 - 8*d + 8. Let c = 12 + -5. Calculate the smallest common multiple of k and q(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.1, 35, -278\/5, 5, -0.4, -0.14?\nAnswer: -278\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2402 (base 8) in base 14?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 34343919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together -288.9 and 4228073842.\nAnswer: 4228073553.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101886.\nAnswer: 2, 3, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-57)\/(-190)*-10 + 0 + 8. Suppose -3*b + 9 = 0, -3*b = -2*x - 4 + 3. Solve l*c = 3*f + x*c - 13, -3*f + 21 = -3*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 + (10 - 261\/15))\/(-9 + 2).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 4326499 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*w + 38*w - 81*w = 310 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(396) + -1 - sqrt(396))*6*2)**2 - (1*(sqrt(99) + 2*sqrt(99) - sqrt(99)))\/(1*sqrt(81) + sqrt(9)))*6.\nAnswer: -3*sqrt(11) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -8. Let x = p - -9. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*v - v - v)*(-4*v + v + 6*v)*(-5 - 1 + 5) as d*v**2 + n + q*v and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**3 - 9*j**2 + 24*j - 16. Let c be (-12 - 0)\/(12\/(-9)). List the prime factors of w(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**6*u*(u**6\/u)\/u)**(-17))**(16\/5) assuming u is positive.\nAnswer: u**(-2992\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 61 = -569. Let z = -1141\/9 - m. What is the fourth biggest value in -5\/6, -0.1, z, -0.2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-8\/11))\/d*d*d*d*d**10\/d*d*d assuming d is positive.\nAnswer: d**(146\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 9433 from 21.\nAnswer: -9412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - 13 - -52 - 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 6 * 0.373.\nAnswer: 2.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3377*y**3 - 176*y**3 - y - 840*y**3 + 1210*y**3 + 0*y.\nAnswer: 3571*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 2*h. Let a be 6\/(2 + -4) + (-18)\/(-3). Suppose a*d = -h*d + 78. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {d: 1, n: 2, k: 2, e: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 108 + -45. Let o = p + -61. Put -0.9, -1\/6, o in ascending order.\nAnswer: -0.9, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/((-144)\/(-30)))\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-330)\/99*-18*53\/(-99640)?\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.5 (b) 0 (c) -3\/557\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -153*a - 225*a + 377*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 982558.1kg in milligrams?\nAnswer: 982558100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0118*-4.\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {y: 2, k: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(4\/5 + 3 - (-276740)\/(-68175)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/49, 2\/9, 9322.\nAnswer: -2\/49, 2\/9, 9322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 + 8. Is u\/4*3 - -152 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 + 16*r**2 - 18*r - 12. Let j be 8\/(-32) - 603\/36. Let f be k(j). Solve f*s + 2*o + 8 + 7 = 0, o + 9 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o - o - 2*o)*(1 + 2 - 2)*(3 - 4 + 2).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 11. Suppose -2*h = a*k - 12 - 3, k = -h. Let j(p) = -k*p + 4*p + 3*p - p. Let z(y) = -6*y. Determine z(j(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 + 27 = -11*n. Let o(a) = -2*a**2 - 2*a + 9. Let g(x) = 2*x**2 + x - 7. Let t(c) = n*g(c) - 3*o(c). What is t(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = g + 1. Suppose -12 = -3*i + 3*t, t + 2 = g*i - 5. Let a be i*(-3 - (-3 + 0)). Solve -n + 0*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5432)\/(-12) + (2\/(-6))\/(-1). Suppose -g - 2*a = -0*a - 115, 4*g + a = r. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 3\/137 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -4 + 6*m + m**2 - 4*m + 2. Let q be 2\/(-7) - (-23)\/7. What is the remainder when k(q) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-38)\/(-8) - -2*(-6)\/(-48). Suppose 30 - 10 = -c*r. What are the prime factors of ((-12)\/18)\/(r\/(-6)) + 136?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/3 - (-532479)\/1008. Let k = -3688\/7 + s. What is the common denominator of k and ((385\/(-36))\/(-7))\/((-1)\/(-2))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 88845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1211096 = -2*z - p + 1211090, -5*z - 15 = -2*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -627.1444 + 580.397. Let c = w - 0.2926. What is c rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(104) - -4*sqrt(104))\/sqrt(8) + sqrt(13))*1)**2 - (1 + sqrt(1300) - sqrt(1300))**2*-3*6.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -1329.8 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26*m**6 - 5*m**5 - 8*m**4 - 6*m**2 + 15*m + 7.\nAnswer: 3120*m**3 - 300*m**2 - 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10922 - -11708. Solve 0 = -9*v + q - 741 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 738, -53545 in increasing order.\nAnswer: -53545, 2, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 7) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = u - 5, -2*u = -2*r - 5*u + 15. Suppose 2*n + 0*n - 4 = r. Suppose 19 = n*m - 5. What is the highest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 131 = 137. What is the first derivative of 175*o**2 - 26 - 169*o**2 - c + 3*o**3 wrt o?\nAnswer: 9*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -4*n - 4. Let l be g(-2). Let d(r) be the second derivative of -2*r + 1\/2*r**2 + 0 - 1\/2*r**3 + 1\/4*r**l - 1\/20*r**5. Factor d(m).\nAnswer: -(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9162, -36690, -82580, -146832, -229446, -330422?\nAnswer: -449760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 17 = 4*w + 2*f, 4 = -w + 2*f. Let p(z) = 7 - 1 + 1 + 6*z**2 + w*z - 1. Let a(d) = 7*d**2 + 2*d + 7. Determine -5*a(b) + 6*p(b).\nAnswer: b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = -0*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6516877 to the nearest integer?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 + 1905093*h - 1905096.\nAnswer: 3*(h - 1)*(h + 635032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of -n**3\/21 + 4*n**2\/7 - 16*n\/7 + 10. Let l(i) = 0. Calculate i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*h**2 - 4*h**2 - h**2 + (-73629 + 172*h + 73629)*(2*h - 3*h + 0*h) to the form v*h + c*h**2 + k and give c.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -207059047.40998212 + 207058456.41. Let w = a - -591. Round w to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**3 + 7*c**2 + 7*c - 1. Let i = -75 - -80. Suppose 0 = i*m - 215 - 50. What is the remainder when m is divided by b(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 420411 and 1.39.\nAnswer: 584371.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, 84, -2\/7, 0.2, -238 in decreasing order.\nAnswer: 84, 2, 0.2, -2\/7, -3, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 929400 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 5*c = 8, -c + 226 - 230 = 0. Let 2\/23*g**5 + 4\/23*g**3 + 8\/23*g**x - 8\/23*g**2 - 6\/23*g + 0 = 0. Calculate g.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 124096040 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1250 - 275. Calculate the lowest common multiple of 21 and c.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 - 6*a + 21. Let w be f(-15). Let x = w - 232. Calculate the highest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2205 (base 6) in base 11?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 2*h**2 + 8*h + 6. Let b be l(-5). Let o(c) = c**3 - 16*c**2 + 2*c - 27. Let i be o(b). Suppose -s + i*k = -152, -3*k + 45 + 75 = s. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 162619.\nAnswer: 137, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -83*d**2*j**4 - 2*d**2*j**3 + 3*d**2*j**2 - d**2*j - 11*j**2 wrt j.\nAnswer: -1992*d**2*j - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8028 and 2351312.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 418544 is divided by 137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2364 is divided by 2350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -325 + 329. Solve -2*x + 4*x + v = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 9647028?\nAnswer: 48235140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (588*i + 217*i - 161*i)*(i**2 - i**2 + 3*i**2).\nAnswer: 1932*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*c**5 + 531*c**4 + 702*c**2 - 2*c wrt c.\nAnswer: 180*c**2 + 12744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + (-5 - -3) + (-9 - 3) + 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -334273638 by -6.\nAnswer: 55712273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.111 + -405.728253.\nAnswer: -405.839253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1b (base 12) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 + w - 3. Let u(p) = 9*p**2 + 3*p + 459. Determine -3*j(g) + u(g).\nAnswer: 6*g**2 + 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**2 + 7*v + 37. Let o be x(-5). What is the highest common factor of o and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -1 (b) -12 (c) 3 (d) 5\/9 (e) 2\/1639\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*u - 45123 + 44034 = 0 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -8*v**2 - 3*v - 43. Let m(s) = -6*s**2 - 2*s - 41. Let x(n) = -3*m(n) + 2*y(n). Let d(c) = 2*c. Determine x(d(o)).\nAnswer: 8*o**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - 5*y**2 + 14*y + 2. Suppose 5*i + 4*t = t - 23, -3*i = -2*t + 29. Let a be l(i). Let z = a + -1. Is 0 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -34 - -124. What is the remainder when f is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 + 3*g - 28. Give f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 102 and 61098?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1896028\/405496 + 2\/(-78)*12\/(-8)?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**3 + 44*f**2 - 150*f + 17. Give p(6).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = 2 - 62. What is the remainder when 70 is divided by (b\/(-5))\/(3\/(-18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 63\/12 + (-8)\/32. Calculate the lowest common multiple of i*2*4*(-8)\/(-16) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 m when three letters picked without replacement from {k: 1, i: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 9\/12*(-8 - 798\/63 - -20)*36\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-1 + (-24)\/(-27)). Let d be 1655\/(-15) - 3\/i. Let y = d + 105. Is -2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -7790226, -7789978, -7789728, -7789476, -7789222, -7788966, -7788708?\n\"Answer: j**2 + 245*j - 7790472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 5. Let m(z) = 583534*z. Determine m(g(o)).\nAnswer: 583534*o**2 + 2917670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 + -9 + -11 + (1 - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 380194845 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-14 - 3) + 22 + (-12 - 1) - -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 38146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5, 49, -1.\nAnswer: -1, 1, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 349\/1065 - -2\/355. Which is the nearest to h? (a) 4\/5 (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*n**3 + 5*n**3 + 74222 - 5*n**3 - 74201 - n**3.\nAnswer: 2*n**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -3 + 5*sqrt(45)\/sqrt(9) + (-3*sqrt(80) + sqrt(80) - sqrt(5)))**2.\nAnswer: -16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t**2 - 2*t**2 - 2*t**2)*(-2 + 2 - 2)*(-66*t**3 - 27*t**3 - 21*t**3).\nAnswer: -228*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of (155\/2)\/(5\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7044, -14069, -21094, -28119?\nAnswer: -35144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 3:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of a**5\/80 - a**4\/12 + 5*a**3\/24 - a**2\/4 + 30*a - 18. Let i(o) be the first derivative of d(o). Find g such that i(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18431 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1\/34, 217, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 + 10*q**2 - q - 10. Let m be l(-10). Which is smaller: m or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -180*v = -293*v - 311 - 254 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 + -3. Let z = -48 - -68. Suppose 6*n - z = n + 2*i, 5*i - 25 = 0. Calculate the remainder when n is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (504\/5)\/(12\/80). Suppose 6*f - 10*f = -z. Let r = 675\/4 - f. What is the third smallest value in -6, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26834450?\nAnswer: 2, 5, 71, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19 + 22. Suppose z*x = -4*x + 168. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 905, 1785, 2663, 3539, 4413, 5285, 6155?\n\"Answer: -q**2 + 883*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 34 - (307 - 292)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1560 + -2110.7. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 25*u + 150 = 22*u, 3*x = u + 225. Calculate the remainder when 131 is divided by x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 27 = -d. Solve 5*q - 3*v = d + 13, -9 = -2*q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -2*s**3\/11 + 47222*s**2\/11 + 228147136*s\/11 + 252384953856\/11 = 0.\nAnswer: -2128, 27867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.3*58.\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-96*9\/2688)\/(-3).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 118557 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: Round -0.003704 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11090 is divided by 89?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*i + 13*i + 15*i - 9*i**3 - 26*i**3 + 2*i**3 to w*i + p + g*i**3 + l*i**2 and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-9464)\/3549*(3\/2)\/(-1). Solve v*g = 33*g - 203 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5 - -5) + (-4)\/1. Suppose 3*n = g*n - 54. Suppose f - 29 = -2*x, -2*f - 91 = -5*f - 4*x. What is the remainder when f is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*d = 26*d - 205*d - 248*d + 72048 for d.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -40937 and -3.\nAnswer: 122811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 5 (b) -893 (c) -2 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -3*n + 7*n**2 - 5 + 5 - 4*n**2 as g*n + w + b*n**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 283 + -2422644.3.\nAnswer: -2422361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 259*s**6\/120 + 17*s**3 - 96*s**2. What is the first derivative of x(o) wrt o?\nAnswer: 777*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 + 1 + (22 + 3 - 26) - 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -493 - 41*t + 24*t + 18*t + 338.\nAnswer: t - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-95)\/10*(-166)\/1577)\/(3\/327)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4\/19 or -2\/169?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of 152 and 2.4.\nAnswer: 364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 14 + 6443065*y - 12886132*y + 6443062*y - 11.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 56 = -18. Suppose c*k + 20 = 24*k. What is the second derivative of k*b**5 + b**5 + 39*b - 30*b wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(5103)*-3 + sqrt(5103))*-1*2)\/(4*sqrt(9)*-2 + sqrt(441) + sqrt(441)*2))**2.\nAnswer: 9072\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v - 9. Let u be n(3). Factor u*z + 2\/7*z**2 + 2\/7*z**4 + 0 - 4\/7*z**3.\nAnswer: 2*z**2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 678 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 10*m**2 + 5*m + 7. Suppose -111 = 12*i - 27. Let s(u) = 7*u**2 + 3*u + 5. Let q(o) = i*s(o) + 5*p(o). Let q(v) = 0. What is v?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*l - 2*l - 7*l**4 - l - 4*l wrt l.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -939 divided by -15.\nAnswer: 313\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1008) + 1)*-3*-6 + 4)**2 + 3*(-3*((sqrt(1008) + 0 - sqrt(1008)) + sqrt(1008)))**2*3 + 0.\nAnswer: 9504*sqrt(7) + 408724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-525 + 33*f + 525)*((4*f**2 - f**2 - f**2)*(-3 - 1 + 2) + (0*f + 2*f - f)*(2*f - 3*f - f) - 4*f**2 + 0*f**2 + 6*f**2).\nAnswer: -132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}