diff --git "a/data/dm_maths/full_data_1/11150_11255.jsonl" "b/data/dm_maths/full_data_1/11150_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11150_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -4*c**3 + 163982872*c**2 - 1680648894335524*c.\nAnswer: -4*c*(c - 20497859)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/5)\/(27\/360) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68320 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 u(b) = 15*b**2 + 11. Let k(p) = 8*p**2 + 6. Let j = 472 - 303. Suppose -j*c + 189 = -142*c. What is c*k(i) - 4*u(i)?\nAnswer: -4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 65 + 22 = -5*h, -6 = 2*h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 15. Let w be m(-10). Let g be (111\/(-185))\/(1 + (-6)\/w). Suppose -5*u = 0, -g*t - 2*u = 2*t - 1655. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 645 and 16775.\nAnswer: 17420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by -38.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 - -5) - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.4 and 355174.\nAnswer: 355168.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 425 - 423. Let m = -0.083 - 0.217. What is the closest to o in 0.25, -1\/4, m?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let j = -7 - -11. Put b, 0, j in increasing order.\nAnswer: 0, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 5761 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7.1. Let p = 2674099 + -2674101.100001. Let s = n - p. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q**3 + 10*q**3 + 17*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 753898367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkithttiizzttz. Give prob of picking 1 k, 1 h, and 1 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1696*g - 1499*g - 1 - 8757*g)*(2 + 2 - 3) as b*g + y and give b.\nAnswer: -8560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, -3, -3\/2, -54?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50323551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + 1998780.\nAnswer: 1998780.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 11 - 15 - 2*s**3 - 8 + 2*s**4 + 31 + 2*s**2 to the form a*s**2 + f*s**3 + q*s**4 + g + m*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 2*a = 20, 0 = -5*v - 2*a + 136. Let o = v - 21. Suppose 7 = -3*r - 0*q - 5*q, 5*q = -o*r + 5. What is the greatest common divisor of 9 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_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: Product of 803 and 0.138.\nAnswer: 110.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2176*g + 6525. Calculate h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 4.1. Let h = x + -1. Suppose -2*s + 5*p = -3*s + 3, -2*p = -5*s - 12. Which is the third smallest value? (a) s (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -2. What is the second smallest value in -2, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:03 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/11, 5, -0.266, 2\/9, 7 in increasing order.\nAnswer: -0.266, 2\/11, 2\/9, 0.5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73980859 to the power of 1\/2, to the nearest integer?\nAnswer: 8601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 116273449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 - 13*v - 20. Let n be d(-8). Solve -3*y + 2*k + 20 = 7*k, -y - 5*k + n = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24734526?\nAnswer: 2, 3, 4122421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*b = 19, -4*b = -2*o + 28975 - 29005 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 80, 2, -3, -4 in ascending order.\nAnswer: -8, -4, -3, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 2. Let a be (-681)\/(-27) - 8\/36. Let r be -2*a\/10*(-1 - -2). Determine t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(37\/(-222))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 18 - 2 = 0. Let l = 165 - 164. What is the third smallest value in s, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*w - 675 + 1351 - 676.\nAnswer: -333*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6772?\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1966 or 1767?\nAnswer: 1966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 5*h + 9. Let c be x(7). Suppose 0*i + 3*i - 2*r = c, -4*r = i - 24. What is the smallest common multiple of i and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -0.5, 19.8 in increasing order.\nAnswer: -0.5, 19.8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/8)*m*m*m)\/m)\/(m\/(m\/(m*m**(-2\/11)\/m))))\/(((m\/(m\/(m\/(m\/(m*m**1*m))*m*m)))\/m)\/(m**(-1)*m*m)) assuming m is positive.\nAnswer: m**(-83\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*o + 7138 = 0, 45*t - 43*t - 2860 = 4*o. What is the highest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 4. What is the remainder when (1 + 1)\/(220\/3190) is divided by k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/10608 and -13\/285.\nAnswer: 1007760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1011)\/(-337)*(-4)\/1062*-3\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -7*t + 2*t + 10, 0 = 2*t - 3*q + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963230653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 141b7a?\nAnswer: -141b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, 0, 38.\nAnswer: -1, 0, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - z**2)*(-5 + 27 + 10 + (5 - 3 - 3)*(3 - 5 + 1) - 1 + 1 + 2).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -129. Suppose -t - r = -4*u, 0 = -2*u - 3*t - 22 + 111. Suppose 0 = 4*g - 0 - u. Calculate the smallest common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10231 is divided by 568.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38211799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - z + 11*z - 4*z - 4*z. Let i(w) = -3*w**2 + 337*w. Give u(i(x)).\nAnswer: -3*x**2 + 337*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(252)*2 + 0) + -2*sqrt(252) + sqrt(252) + 0 + 1)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24039254?\nAnswer: 2, 12019627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -36. Let s = -58 + h. Let v = s + 3. What is the closest to 3\/4 in 4, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23197 + 91373 = -1408*h - 97968 for h.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/10 - 85*x**3\/3 - 174*x**2 - 83*x. Differentiate r(q) with respect to q.\nAnswer: 6*q**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 140 = -6*l. Let j be (l\/8)\/((-3)\/(-6)). What is the third derivative of 2*q**3 + 6*q**2 - j*q**2 - q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*a - 0 - 8, 0 = -a - 2*c + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + -38 + (-5 - (-11 + -6)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 9. Let x(u) = 2 + 0*u**2 + 5*u - 1 + 1 + u**2. Let p be x(-5). Solve p - y = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/11)*a*a**(-2\/9)*(a*a**(-4\/11))\/a*a**17)**(-10\/9) assuming a is positive.\nAnswer: a**(-17420\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 31 - -10) + (-142 - -59).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754393 less than 1057?\nAnswer: -753336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1173 - 3?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 11*m**2 - 13*m + 9. Determine c(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29733500 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5. Let x(g) = -3. Let k(s) = 16*s**2 + 1695*s - 109. Let w be k(-106). Suppose 3*q - 4*o = -0*q + 1, q = 5*o + 15. Calculate q*x(i) + w*u(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3545, -3042, -2553, -2084, -1641, -1230, -857?\n\"Answer: -i**3 - i**2 + 513*i - 4056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7*q**(-2\/5))\/(q**(2\/11)\/q)**(-24) assuming q is positive.\nAnswer: q**(-717\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*o + 169*o - 5456 = 0. What is the remainder when o is divided by 84?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2. Let l be -2 + (-6 - -2) + 2. Let k be l\/(-6)*((6 - 3) + 0). Let f(y) = -74*y**2 - k + 2 + 80*y**2. Determine m(f(a)).\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 153623026?\nAnswer: 153623030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:28 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89534485?\nAnswer: 5, 17906897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**4 + 0 - 14*q**2 + 12*q + 16\/3*q**3.\nAnswer: -2*q*(q - 3)**2*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = -16*i + 20577 + 12346. Calculate the smallest common multiple of i and 64.\nAnswer: 16064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 47*i - 327 - 48*i + 12*i**2 + 5*i**4 + 331 - 3*i**4 to b*i**4 + c + s*i**3 + a*i + t*i**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s. Let l(r) = -7*r + 5. Let g(o) = 15*o + 11. Let q(k) = -7*k - 5. Let t(w) = 6*g(w) + 13*q(w). Let d(c) = -l(c) + 5*t(c). Determine n(d(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7242357 divided by 111\nAnswer: -2414119\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -6, -18, -28, -36, -42, -46?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20443238\/5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2387*74\/8954 + 19.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1040, 25, -2, 5, -4, 4, 2 in decreasing order.\nAnswer: 1040, 25, 5, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5*b - 88, 35*v + 3*b = -2*v - 2*v - 168 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/72 - (-101)\/576. Is 0 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 3. Let g be m(11). Let o = g + -5. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 529317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2552 and -89\/22040.\nAnswer: 242440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101870763 rounded to 5 decimal places?\nAnswer: 0.10187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 4804*u**5\/5 + 3067*u**3\/3 - 2507. Find the third derivative of r(a) wrt a.\nAnswer: 115296*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and -77\/112862220?\nAnswer: 112862220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -112686\/11 smaller than -10243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**3 + 758*v**2 - 229*v + 1407. Determine u(108).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 1, 2, -182 in decreasing order.\nAnswer: 5, 2, 1, -11, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 27, 59?\n\"Answer: 32*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -10. Suppose 0 = -w - 2*w - 3. Let r be (4\/12)\/(w\/(-9)). Sort -1, u, r in descending order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-14)*-30*(-11)\/528?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -275 divided by -55\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 8 - 155 + 8*b**3 - 9*b**3.\nAnswer: b**3 - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 5*a - 10 - 4, -4*a = -3*n + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*3 - (sqrt(15) - (sqrt(15) + sqrt(960) - sqrt(15) - sqrt(15)))*1)\/((4*sqrt(324)*-5)\/sqrt(12)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 196*j. Let y be u(1). Suppose 4*r = -y + 504. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 42. What is c(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6451 is divided by 1195?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4137800 divided by 9736.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3.7. Let j = d - 0.1. Let i = 112 + -124. Which is the second biggest value? (a) i (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -530 and -76832.784.\nAnswer: -77362.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123820\/21 + 5899. Find the common denominator of a and (19\/(-95 - 0))\/((-51)\/5780).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -355*m + 2. Let b(d) = -d**3 + 20*d**2 - 19*d - 1. Let k be b(19). What are the prime factors of s(k)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -35*w + 4. Let y(x) be the third derivative of -3*x**4\/4 + x**3\/3 - 9*x**2 + 187. What is 3*s(z) - 5*y(z)?\nAnswer: -15*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 973694.\nAnswer: -4868470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 102930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*i - 8, 0 = -2*h - 0*h + 2*i + 12. Suppose -o = -h*f - 86, 0*f + 4*f = 5*o - 446. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 9 = -3*n, -23212*n - 2*w = -23210*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -426430 greater than or equal to -426433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 114*q - 5588. What is s(37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x - 7. Let r be k(-1). Let s(q) = -q**2 + 8*q - 10. Let c(n) = -1. Let u(t) = -6*c(t) - s(t). Let d be u(r). Solve 4*z + d = -15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216523 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2786 - 3 = 23*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*p + 69*p - 9 + 74*p as d + n*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 189.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from zzdzdzd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5438 (b) -3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/197 - -570\/2167. Which is the third smallest value? (a) -0.3 (b) 0 (c) p (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104536749, 104536747, 104536745, 104536743, 104536741?\n\"Answer: -2*w + 104536751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2486, -4987, -7488, -9989, -12490?\nAnswer: -14991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/8 (b) 3 (c) 1.1 (d) 1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16439 + -16441. Let r = -0.1 + 0. What is the nearest to r in -2\/7, u, 202?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*w + 10 = 137*w. Let m(n) = -n**3 + 4*n**2 - 3. Let a be m(5). Find the common denominator of 70\/9 and -3 + 1 + -118*w\/a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6711264 divided by 16.\nAnswer: -419454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a millisecond in microseconds?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 22. Let i be 8*(g\/4 - 0). Suppose i*t - 2*t = 314. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 - 31150667\nAnswer: -31150666.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*l + 122*l + 36*l - 88*l + 102*l.\nAnswer: -258*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*c = 135 + 105, -k + 3*c = -60. Calculate the greatest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/5 - (-3)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 18102?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:41 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 111, 113?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.59 - -57.315. Let f = -0.425 + w. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 424215 + -a7?\nAnswer: 424119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.1, -2\/15 in increasing order.\nAnswer: -2\/15, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64.8 + 60. Let d = k - -0.8. Let z(p) = -p**2 - p + 4. Let a be z(0). What is the second smallest value in a, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.978 - -9. Round i to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 1 + 6 - 3)*(8*k - k - 3*k) - k**2 + 4*k**2 - k**2.\nAnswer: 18*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6341511.6 seconds to hours.\nAnswer: 1761.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2431\/8971?\nAnswer: -2431\/8971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 126 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 18 = -2*j. Let t be 2\/4 - 27\/j. Solve 24 = -t*y - g, -y + 3*g + 24 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-220)\/(-231))\/(14\/(-49)*-1)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-42) + -2735*(-663)\/455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7346*u**2 - 14699*u**2 - 315*u**3 + 7353*u**2.\nAnswer: -315*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -17.12. Let x = j + 6.12. Is -3\/4 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 382 + -376. Let v(t) be the third derivative of 1\/945*t**7 + 1\/540*t**a + 0*t**3 + 0 + 0*t + 5*t**2 + 0*t**4 - 1\/135*t**5. Factor v(q).\nAnswer: 2*q**2*(q - 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53288*m**3 - 164207*m**2?\nAnswer: 319728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + 27. Suppose 0 = 2*y - 3*y + 1. Calculate the lowest common multiple of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -29. Let j = 188 + d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 184. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18, 1\/16, -0.3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 345. Let w = 176 - h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-4\/13)*(h**0\/h)**(-4\/17))\/((h*(h**3*h)\/h)\/h*h**0\/h)**(7\/5) assuming h is positive.\nAnswer: h**(-2698\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62536*n**2*z - 24*n**2 + 4078688*z wrt n.\nAnswer: 125072*n*z - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294.777 milligrams in micrograms?\nAnswer: 4294777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 934 (b) 2 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9890.355 years to months.\nAnswer: 118684.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - b**2 - 3*b**2 - 5 - 2 + b**2 + 2 + (-b + 2*b + b)*(2*b + 0 + 0).\nAnswer: 3*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 73\/1907, 4, 5 in decreasing order.\nAnswer: 5, 4, 73\/1907, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 + 6*x + 2. Suppose p + 4*p = -35. Let j be w(p). Factor i**3 + j*i**2 + 12*i + 4*i**2 + 7*i**2 - 9*i**3.\nAnswer: -4*i*(i - 3)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2649 and 865340?\nAnswer: 2596020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let i = 157 - 53. Suppose -2*z - i = -2*y, 4*y = -z + 287 - 54. Let l(b) = 4*b - 29 - b - 25 + y. Calculate d(l(s)).\nAnswer: 18*s**2 + 36*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 21. Let a be f(25). Put a, 2, -20 in descending order.\nAnswer: a, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -21.5. Let i be (5\/((-3)\/3))\/2. Let w = -521 + 523. Sort i, w, u.\nAnswer: i, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 17*b**3 + 28*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58065473771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81\/15 + (-9)\/(-15). Let k(p) be the second derivative of p**4\/12 - 7*p**3\/6 + 3*p**2\/2 + 2*p + 16. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + m**3 + 3*m**2\/2 + 2*m - 21. Give i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214.922 + -7.302. Let m = r - 200. Round m to one dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(102) - sqrt(102)*-1 - sqrt(102))\/sqrt(6).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2. Let g(w) = -24*w**2 - 22*w**2 + 37*w**2. Give g(l(p)).\nAnswer: -81*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 2. Let p(t) = -4*t - 7. Let a(w) = 4*w + 9. Let u(i) = 3*a(i) + 4*p(i). What is 2*h(l) - 3*u(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 922 - 443 = 0. Calculate the highest common factor of 39 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((23 - (16 - -2)) + -6)) + 78\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 7. Let k be m(3). Suppose -5*z = -269 - 91. What is the highest common factor of k and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26381000 rounded to the nearest one hundred thousand?\nAnswer: 26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 6*s**2 + 2*s**2)*(1 + 0 - 9) + (3*s - 6*s + s)*(0 + 0 + 2*s) - s**2 - 2*s**2 + 5*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 19. Let i = w - -8. Suppose i*n + 10 = 55. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8448*l**2 + 12*l - 37. Let h(n) = n**2 - 2*n + 6. Determine -6*h(d) - y(d).\nAnswer: 8442*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -5\/2 (c) -388\/7 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 2*n - 2. Let x be v(-5). Let j = x + 63. Let p be ((-80)\/(-8))\/(-3*6\/(-9)). Sort 3, j, -2, p in increasing order.\nAnswer: -2, j, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l + 46*l - 28*l - 10*l + 76744*l**2.\nAnswer: 76744*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/(-20) - (0 + 3). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 2, d: 2, b: 2, j: 1, e: 2}. What is prob of sequence bce?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y. Let c(z) = 8*z. Let j(v) = 5*c(v) + 6*u(v). Let s(m) be the third derivative of 7*m**5\/15 + 164*m**2. Calculate j(s(r)).\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39075 - 21979 = 747*u - 124*u for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.084 and 0?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34239 is divided by 353.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 43 + 7 = 0. Let p(f) = 8*f + 4. Let k(u) = -20*u - 10. Let i(x) = s*p(x) - 5*k(x). Suppose -2*b + 0*b = 4. Calculate i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - b + 1, 4*s + 10679*b = 10680*b + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -10. Suppose -51 = -c - 101 + 48. Let w = -10 - -6. Put w, c, p in ascending order.\nAnswer: p, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 244150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48994915*i**4 - 558*i - 35036?\nAnswer: -587938980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -0.4, 4 in decreasing order.\nAnswer: 58, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21242?\nAnswer: 2, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/(-10) + (-4)\/(-10). Suppose -9*p = -10*p - 10. Let n = b - p. Is 7\/6 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sry when three letters picked without replacement from {y: 8, s: 4, r: 8}?\nAnswer: 32\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6893 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83.5212 + -1056.\nAnswer: -972.4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.98 + -5. Let l = -0.22 - o. Which is the smallest value? (a) 1 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59284 + 361261\/6. Let z = -913 + h. Calculate the common denominator of -25\/11 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 4766*c\/11 - 71040\/11.\nAnswer: -2*(c - 2368)*(c - 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569 divided by 1.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m + 6532747 = 6533957 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.011 rounded to 1 dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137\/(35072\/(-192))*-124?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -96. Put 10, s, 4 in increasing order.\nAnswer: s, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-42)*3\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-136662)\/3)\/(-3 - -1). Suppose -x - 847223 = -c. Round c to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123935590.\nAnswer: 2, 5, 12393559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 13, 89 in increasing order.\nAnswer: -95, 13, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691546901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -93. Let x be ((-3)\/6 - g\/(-4))*1. Solve 5*b + x = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 28 = -3*y + 8*v, -y = -2*v - 11. Is 6\/5 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22412 and 452712?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((-64 + 62 - 25) + -2 + 3 + 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -18. Let h = n - 13. Suppose -h*x + 128 = -a, 2*x - 2*a = a + 59. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a4a (base 13) to base 6\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = c - 4*g + 7, 5*g = 2*c + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -358352.\nAnswer: 3\/358352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20 - 2) + -7 + 6. Let v = a - 17. Let n(k) = -k - 3. Give n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6507 * -2.\nAnswer: 11.3014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*h - 187*h = -648*h + 258*h + 4860 for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + 3*t**3 + 516*t**4 - 530*t**4 - 5*t**2 - 3*t**3 to the form k*t**3 + o*t + h*t**4 + c + l*t**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17981 and -0.388.\nAnswer: 17980.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58117139 smaller than 58117148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8*o = -3160. Suppose 4*n = 4*v + o - 832, 5*v - 621 = -3*n. Calculate the greatest common divisor of 56 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2319096 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:17 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s + 7 - 24*s - 8*s. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + 0*p + (-2 - 1 + 1)*(2*p - 2*p - 2*p) + 3*p - 2*p + p + p - 4*p + 4*p - 37 + 59*p + 37.\nAnswer: 67*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.0613 + -0.0613. What is the second biggest value in -712, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -24*q**2 - 63*q + 298. Determine t(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(5\/(-3)) + 2. Suppose 4*f = -5*a + 55, -a + t*a + 5*f = 53. What is the remainder when 11 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 4*o + 0*o)*(-3 + 3 + 3)*(-o - 3*o - 8*o)*(-4 + o + 4).\nAnswer: -72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -369. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7688317784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -749.9?\nAnswer: 743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t + 5. Let w = 7 - 1. Let d(x) = -16*x - 1 + 1 + 6 + w*x. Give -6*d(r) + 7*i(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7493033*a + 14986059*a - 7493030*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -21339 + 21342 - 2*j - 46*j in the form k*j + p and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2 + 3 + -8). Solve -27 = -a*r + 3*r - 4*u, -5*u + 27 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/2)*h**(-4)*h*h**(-1)*h**(3\/4) assuming h is positive.\nAnswer: h**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -25.999963. What is q rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1041 = -5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l**2. Let q(i) = 143*i**2 - 16*i - 144*i**2 + 16*i - 14. Give f(q(t)).\nAnswer: -9*t**4 - 252*t**2 - 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) -773 (d) -4\/7 (e) -0.24 (f) 1\/4 (g) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180597885 and 27.\nAnswer: 1625380965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 717 and 699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 34930.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31006322, -31006320, -31006318, -31006316?\n\"Answer: 2*r - 31006324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.3, -0.19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 21936 = 2*o, -102*o + 106*o - 2*g - 43860 = 0. List the prime factors of o.\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 225?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3\/6 - 8*j. Let y(w) = -w**2. Give y(u(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:13 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625 - 310 - 5*i**2 - 315 + 3*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14 and -51\/358.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13484*l**2 - 65163*l**2 + 4*l - 5*l + 2*l.\nAnswer: -51679*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1950 and 1040.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 765, 707, 649, 591, 533?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/35 - (-1428)\/15. Let w = r - 1837\/20. Factor -3\/4*y**5 - 15\/4*y**4 - w*y - 3\/4 - 15\/2*y**2 - 15\/2*y**3.\nAnswer: -3*(y + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - 3*v)*(-11 - 3 - 15 + (-2 + 0 + 4)*(0 + 3 - 4)) + 8 - 8 + 6*v - 2*v - v + 2*v + (-4 + 1 + 1)*(-v - 3*v + 6*v).\nAnswer: 125*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 17*i**2 + 10*i + 21. Let a be q(-3). Let z(l) be the first derivative of 5*l**2\/2 - 3*l + 115. What is z(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 11*y**2 + 10*y + 23. Let z be t(12). Let b be ((-1)\/z)\/(1 - 162\/105). Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14948681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2) + 1 + -1. Let t be 5 + (340\/(-14))\/5. Which is the third smallest value? (a) 2 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 652\/5. Let g = 12 + -10. What is the biggest value in r, g, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110220321211 (base 4) to base 10\nAnswer: 5410405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + b73a?\nAnswer: b730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8620 - -19486. What are the prime factors of c?\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 95888.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 4*r + 9, -2*l + 4*r = 6. Let n = l + 4. Suppose 0 = -n*x + 98 + 2. What is the smallest common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let w(f) = 7*f - 2. Give w(l(q)).\nAnswer: -14*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 76, 87, 102, 121?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 11. Let r be i\/(-9) + (-6)\/(-9). Solve -m = r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2)*z\/(z**(-1\/3)*z)*z)**4*(z**(5\/4)*z**(-3))**(1\/28) assuming z is positive.\nAnswer: z**(541\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3221.\nAnswer: -4\/3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 20. Let t be u(4). Suppose 263*h = k + 260*h - 335, 2*k - 4*h = 676. Calculate the greatest common divisor of t and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:14 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 12b41c?\nAnswer: -12b417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*h + 10 = 0, -4*i + 2*h + 1 = -h. Solve -l = v - 2, 3*v + i = 5*v - l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4232, -8461, -12702, -16961, -21244, -25557?\n\"Answer: -a**3 - 4222*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 9*c**2 + 55 + 5*c - 61 to the form m*c + w*c**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002221 - 221?\nAnswer: 1002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 72847 in -38, -5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7653876\nAnswer: -7653876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*v - 2*r + 5*r, 2*v + 13 = -3*r. Let o be -3*2\/(-1 - v). Suppose 3*z + 5*g - 67 = 0, 2*z + o*z - 89 = 3*g. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173595629?\nAnswer: 31, 5599859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/99 in -0.1, 3\/2, 167, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-nine fifths of a millimeter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4\/7 (b) 5 (c) -0.3 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 8) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2202.891 - 4.891. Let i = 2197.99998223 - w. What is i rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 2*i**5 + 5*i**5 + (2*i + i - 2*i)*(-2*i**4 - 2*i**4 + 6*i**4) + (-16*i**3 - 130 + 130)*(-8*i**2 - 6*i**2 + 3*i**2).\nAnswer: 180*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 3*d + 3. Let l = -10 + 7. What are the prime factors of z(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*v**2 + o**3 + 18979*o**2*v**3 - 5*o + 806*v - 2 wrt v?\nAnswer: 2*o**3 + 113874*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2.8, -1\/4, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.08 and 10734176 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((63\/18)\/((-42)\/12))\/((-2)\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 25673 + 68325 = -t, -5*g - 4*t + 235008 = 0. What is g rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*j**3 + 1371*j**3 - 1379*j**3.\nAnswer: 106*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -3b412?\nAnswer: -3b407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.12205 and 5?\nAnswer: 7.12205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 626032412 - -3?\nAnswer: 626032415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 10*b - 78. Let p(i) = 2*i**3 - 4*i - 40. Calculate -5*p(l) + 2*z(l).\nAnswer: -2*l**3 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**2 + 2*t + 1. Let d be a(2). What is the smallest common multiple of 2 and -2 + 24\/10 + 884\/d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = -16*y - 9*y + 784890. Is 34 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2844 divide 1100940840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-2)*(12 + -10). What is the units digit of 22\/77 + (-4455)\/i*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666404, -666407, -666410, -666413?\nAnswer: -666416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586\/745 + -2\/149. Let x be (-3 - -3) + -2 + 3. Sort -0.1, x, w in ascending order.\nAnswer: w, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = -3*s. Calculate the remainder when (105\/(-28))\/(0 - (-6)\/(-16)) is divided by s*4\/(-8) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqdcz. Give prob of picking 1 f and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**9\/5040 - x**8\/2240 + x**7\/840 + x**6\/240 + 3*x**4\/2 + 21*x. Let j(v) be the third derivative of n(v). Solve j(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Suppose b = 5*u + 5*u + 8*u. Suppose -9*w + 497 - 92 = u. Calculate the lowest common multiple of w and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + (-12 - -8 - 3 - (-20 + 25))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30409024?\nAnswer: 2, 475141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*u**2 + u**3 - u**3 + 2*u**5 - 7*u**4 + 34*u**5 + 5*u**4 wrt u.\nAnswer: 2160*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose -h - x*h = 0. Solve -3*i - i - 4 = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 129 - 408*m**2 + 2 - 29.\nAnswer: -408*m**2 - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -3\/7 (b) -0.4 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 89*a + 164. Determine n(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -196.\nAnswer: -1\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - h**2 + 715*h - 8*h**2 - 1613*h + 2*h**2 + 783*h.\nAnswer: h**2 - 115*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 6*h)*(-15*h - 7*h**2 + 15*h)*(0 + 0 - 4).\nAnswer: 112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 9790 = 33*w. What are the prime factors of w?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + c = -5, -4*p + 2 + 14 = -3*c. Suppose 5*b + 6 = p. Let a(y) = 3*y + 1. Let o be a(b). Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -289, -256, -221, -184, -145?\n\"Answer: b**2 + 30*b - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.90106 millennia in centuries?\nAnswer: 29.0106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 1, j: 1, q: 2, p: 12}. What is prob of picking 1 r, 1 p, and 2 q?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = -4*m, -2*m + 2*p - 6*p + 20 = 0. Let f(y) be the first derivative of 1\/8*y**4 - 2 + m*y**3 + 0*y - 1\/4*y**2. Suppose f(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = s + 85. Let p be ((-4)\/(-2))\/((-1)\/(-16)). Calculate the highest common factor of s and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 4.34?\nAnswer: 12.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -29*i**2 - 27*i + 32. Let x(y) = 16*y**2 + 14*y - 15. Let g(f) = 6*l(f) + 11*x(f). Let q be g(5). Solve 7*v + q = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 48.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10126.39 grams?\nAnswer: 0.01012639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 - 23 = 0. Let p = -39 - v. Let r be (-5 + 7 - 5) + 25 + -1. Solve -n + r = p*s, 0 = 3*s + 5*n + 2 - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmzc when four letters picked without replacement from wmwcwmwwwwwwzww?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(52) + (-5*sqrt(208) - sqrt(13)))**2.\nAnswer: -190*sqrt(13) + 4718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 8\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11614 is divided by 321.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 - -96.2. Let u = 85.99999985 - s. Round u to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/10 (b) -3\/5 (c) -5 (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-2)\/48*4). Let u be (6\/4)\/((-6)\/64). Let a = w + u. Solve -b - 15 = a*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 17*l - 10. What is f(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-15912662\nAnswer: 12730129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00876423111 rounded to six dps?\nAnswer: 0.008764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 15?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11048 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7597 (base 11) to base 2.\nAnswer: 10011100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 - 282. Suppose -6*t + t - 2*n + 14635 = 0, d = 4*n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 5.6. Let f = p + 0.5. Which is the second biggest value? (a) 1\/8 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/7 - 16048*w**2\/7 - 35997898*w\/7 - 14785861052\/7 = 0. What is w?\nAnswer: -3749, -526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-4)\/(-15)*12\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3112364l to millilitres.\nAnswer: 311.2364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/57 (b) -6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.0071?\nAnswer: -0.9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -14, -28, -48, -74, -106, -144?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**2 + 4*j - 5*j - 2*j**4 + 1 - 15*j**2 - j to s*j**4 + m*j + r*j**2 + u + q*j**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.078, 5, 28, -17\/4?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1097 + 1100. Sort 0, 37, q in decreasing order.\nAnswer: 37, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175*w**2 + 26*w**2 - 50*w**2 + (-2 + 2 - w)*(-4*w - w + 3*w).\nAnswer: 153*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.07, -8203?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9726774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 32*g**2 - 118*g - 1186. Determine c(-35).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 51012.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t + t. Let y = t - -5. Solve y*g + 16 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.089l to millilitres.\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-7245)*-45*46*-2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, 1\/2, -0.1, 0, -54?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 59. Let d = s - 40. Calculate the least common multiple of 11 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (1 - 3))*60\/(-6). Let r(t) = 3*t**2 + 10*t - 8. Let z be r(6). Calculate the highest common factor of j and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/4 + -293\/28. Let n = 378 + -3035\/8. Calculate the common denominator of n and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8806 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: -2314420 (base 5) to base 6\nAnswer: -521444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (1 - -1 - -1 - (-364 - -369)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 3\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00249 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12652304 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 318*b - 360*b. Solve 15 = 3*c - 3*f, 0*c + 5 = -3*c - b*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 5*i**2 + 2*i - 5. Let h be t(5). Suppose 5*r = -4*p + 2, -3*p - 5*r + h = 2*p. Factor 0*s**4 - 2*s**4 + 3*s + 2 + s - 4*s**p.\nAnswer: -2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - 1.97. Let y = 10.2 - 10.5. Which is the third biggest value? (a) y (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437.3386 - -243.8.\nAnswer: -193.5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.13 - -0.13. Let f = 218 - 220. Let k = 0.296 + -0.496. Sort k, u, f in descending order.\nAnswer: k, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51208831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9*-1*-24. Let n = r + -10. Let p be n\/4 - (-3)\/(-6). Solve 2*w - 1 = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 5*r + 8. Let g be s(-10). Let l(q) = -22*q**3 + 2*q**2 + q + 4. Let m be l(2). Let h = m + g. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t - 9. Let s(z) = -6*z - 4. Give 7*s(c) - 3*v(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-12) - 3)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 4395352186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 71. Let r be (2 + (-2)\/d)\/(4\/16). Let v be ((-3)\/r*2 - -2) + 2. Put -5, v, 1, 2\/3 in decreasing order.\nAnswer: v, 1, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**2 + 373*c - 373*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -831\/1712 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 1453, 2177, 2901, 3625, 4349?\nAnswer: 5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 10*g - 123. Determine z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354268.\nAnswer: 2, 31, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*z + 5 + 9 + 13 - 106*z as t + r*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -47\/397?\nAnswer: -47\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5*c + 10, y - c + 2 - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4174, 390 in decreasing order.\nAnswer: 4174, 390, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + ((-151)\/27 - -2). Let k = o + 22\/27. Which is the third biggest value? (a) -5 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 - 2*k**2 - 2. Let r = -102 - -111. Let w(n) = -20*n**3 - 9*n**2 - 8. Determine r*c(h) - 2*w(h).\nAnswer: -5*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Suppose 6*o = 26 + 172. Let l = 16 + 1. Let c(m) = -16 + 10*m - l + o. Determine q(c(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 2. Let w be 6*(-2 + 1) + o. Suppose -7 = 4*v + 1. Sort w, v, 5 in increasing order.\nAnswer: w, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aba - 16?\nAnswer: aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 6, 0.26, 9, 0.1, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**4\/2 - x**3\/3 + x**2 - 1. Let b be 0*(-2 + (-6)\/(-2)). Let k be (-2 - (-1 + 1)) + b. Calculate j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3553878*m - 3336387 wrt m?\nAnswer: -3553878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5129, 10260, 15391, 20522, 25653?\n\"Answer: 5131*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 52*t - 54*t - 2420 - 4507 + 1113.\nAnswer: -2*t - 5815","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 106*r**2 + 725*r**2 - 4*r + 2 - r.\nAnswer: 831*r**2 - 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-3) + 148\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(0 + 4\/(-12)). Suppose 5*w - 2 = s*w. Let l(g) = 22*g**2 - 2*g + 1. What is the remainder when 40 is divided by l(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1\/4, 1\/128, -20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -18337.\nAnswer: -18337, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/((1 - 1\/(-3))\/4). Let q = g + 47. Suppose 5 = -q*h - 0. Let m(j) = -3*j + 3. Let i(a) = a. Determine h*m(n) - 2*i(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g + 3, -2*a = -3*g - 11. Let i(h) = -1 + a*h - 4 + 4. Suppose 0 = 3*x + o - 2, x - o = 3*x - 3. What is i(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -83, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -144069?\nAnswer: -4\/144069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 5, -2\/7, -17\/12?\nAnswer: -17\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156760.187 rounded to the nearest one hundred?\nAnswer: 156800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (-9 + -44)) + 0 + (15 - -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 5 - 5*p**4 + 7*p**4 - 4*p**3 to h*p**2 + u + x*p**3 + s*p**4 + r*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*(-12400)\/144)\/((-1)\/(-5517)*3). Round n to the nearest 10000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let o(u) be the first derivative of 0*u + 0*u**2 + 3 - 2\/3*u**3. Determine o(h(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.5 + 5. Which is the second biggest value? (a) -0.3 (b) -4\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 28280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(2 - 3 - 1)*(-3*f + 3*f + 2*f**5).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 3*v**2 + 0*v + 1\/12*v**4 + 0 + 1\/30*v**5 - 2\/3*v**3. Factor k(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 34. Let i be n(-7). Let u = i - 38. Solve -r + 3*t = u - 3, 2*t + 2 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4659*z = 4637*z - 506 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -56. Suppose 3*t + 4*s = 4*t + 1, -5*t + s = -i. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4105145.\nAnswer: 5, 11, 101, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 38*k + 55. Let z be v(-8). Let p be ((-2)\/(-6))\/((-1)\/(-21)). What is the greatest common factor of p and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 2441067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -6a60?\nAnswer: 6a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.9345 - -0.0467?\nAnswer: 142.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108*192\/(-68608)*-67.\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -9, -2, -3, 0, -1.\nAnswer: -9, -3, -2, -1, 0, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*t = -187 + 47 - 160 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - t + 4, -3*o - 9304 + 9312 = 5*t for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2268 = 4*w - 3002 + 1686. Which is smaller: 9858\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 134.\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -25, 0.4, -8, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1223, -5207, -11845, -21137?\n\"Answer: -1327*m**2 - 3*m + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3708)\/(-84) - (-1)\/(-7). Solve -2*c - u = -46 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 10 in decreasing order.\nAnswer: 12, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+11.36\nAnswer: 11.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 50 - 24 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose 4*v - 10 = -m. What is the third derivative of t**3 - t**2 + t**2 + 2*t**v - 5*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 10. Suppose -14*o - 39 = -11*o. Let d be m(o). Solve -s + 14 = -d*p, 2*p + 5*s = -13 - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s + 25. Let l(k) = -k + 2*k - k + 8 + k. Let w be l(s). Let n(x) = -x**3 + x**2 - 2*x + 1. Give n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4195\/1014 + -5\/169. Calculate the common denominator of -77\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and 54788.7.\nAnswer: -7177319.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 6. Let t be q(-3). Let j = -10 - t. Let k be (2 + j)\/(1\/77000). What is k rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 5. Let x = -52 + 60. Calculate t(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*n**4 + 515*n**3 + 2*n - 1 - 515*n**3 in the form y*n**3 + s*n**2 + r*n + c + k*n**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-24)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -79 + 2509. Let d = -286 - y. Suppose -3*p + 2*r = 3*r - 161, -d = -2*p - 3*r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293277 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 16977\nAnswer: 407448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.66 and -1.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 1, -6, 5 in descending order.\nAnswer: 27, 5, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 + 2040?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22399 is divided by 2679.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299) + 1 + 0)**2 - ((sqrt(931) + 0)**2 + -3 + sqrt(19) + 2).\nAnswer: -23*sqrt(19) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1b848 (base 12) to base 4\nAnswer: 21333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 24430099 and 24430099 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 77, 51, 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 10 + 2 - 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5 = 4*y, -303*k + 299*k = y - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(1 + (-30)\/20). Put -15, j, -3 in ascending order.\nAnswer: -15, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 5:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/1321 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-286 + k + 292 - 2*k)*(-58 + 24 - 95)*(3 - 5 - 1) in the form c + f*k and give f.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19394677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*(3\/(-45))\/(8\/88)*21\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + ((9 - 4) + 1 - (5 + 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111068 divided by 4\nAnswer: 27767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 308. Let v be (-14)\/o - 928\/(-22). Let i(s) = s + 41. Let c be i(-13). What is the highest common divisor of v and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3422 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: b\"What is the pth term of -361, -3029, -10279, -24403, -47693, -82441, -130939, -195479?\n\"Answer: -382*p**3 + p**2 + 3*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**3 - 2*n**3 - 2*n - n**2 - 2*n**3 + 5. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*u)*(-1 - 4 + 6)*(-128*u + 75*u + 53*u - 6943*u**2) in the form v*u**3 + m*u**2 + a*u + d and give v.\nAnswer: 13886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 28*s**2 + 17*s + 32. What is m(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -15*f**7\/14 + 25*f**6\/6 - 3*f**5 - 5*f**4\/3 + 2*f + 3. Solve w(i) = 0 for i.\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxhyymhhxyx. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4*p. Let b be i(4). Let w be -2 + 0 + b - -12. Suppose w = -2*k + 194. Round k to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 25*l**8\/4 - 793*l**5\/20 + 4*l**2 + 11*l. Find the third derivative of b(u) wrt u.\nAnswer: 126000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36409249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < 3.337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*j = -9*j + 24, -5*j = -h - 22. What are the prime factors of h*(1 + 7\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/51*3*(-1)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -55241*z. Let i(b) = 9*b**2 - 8*b. Calculate i(x(p)).\nAnswer: 27464112729*p**2 + 441928*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v - 3. Let w(f) = -4*f + 2. Let i = 8 - 5. Let r be (-1 + 0)\/(i\/(-15)). Suppose -r*m = -23 - 2. What is m*w(z) + 3*d(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -71.986. Round w to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*f - 1247 = 0, -w + f = 2*w - 1888. Suppose -2*s = 3*h - w, -11*h + 3*s + 192 = -10*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 9469\nAnswer: -2\/9469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 21*k = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 12*m - 4311. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + a - a)*(2*a**2 - 5*a**2 + a**2) - 366 + 366 + 10*a**4 to m*a**4 + k*a + b*a**3 + j*a**2 + p and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047.1 or -0.03?\nAnswer: -1047.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45c2c (base 14) to base 13.\nAnswer: -5c379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.509 - 0.509010176. What is r rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 1396090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -37. Suppose h - 5 = 4*o - 0*o, 0 = -3*o + 4*h + a. Let c be 1\/o - (-3)\/18. What is the third smallest value in -5\/2, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 - 1. Let d = -870 + 890. Suppose 7*a - 162 = -d*a. What is the remainder when g(-2) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-85)\/20 + 6). Let f(q) be the third derivative of 0 + 0*q + 15*q**2 + 1\/2*q**3 - 1\/60*q**5 - 7\/24*q**4. Determine f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s - 4*s + 1260 = 0. Suppose o - 3*q = 84, -s + 6 = -3*q. Calculate the greatest common divisor of 72 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 29*o + 4. Let z be 4\/(-2) + 2 + 3. Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20 (b) -6051 (c) 16 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (7 + -20 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 109*i - 7. Let g(j) = -3*j + 23*j - 6 + 2 + 34*j. Let a(s) = 7*g(s) - 3*n(s). What is the tens digit of a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 13*w**2 - 4*w - 50. Let f be q(-13). What is the units digit of ((-141)\/f)\/((-351)\/(-36) + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77466 is divided by 19365.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + (-1 - 2) - (29 - (24 - 52))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + p - 3. Let q be w(3). Suppose q*i + 12 = i. Calculate the remainder when 34 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*f = 9, -5*g - f = -3*f + 21. Which is the second smallest value? (a) g (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.54579 nanograms?\nAnswer: 0.00000000154579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1600 and 63\/48115400.\nAnswer: 384923200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 15*q + 44 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m + 5*m + 1 - 9*m**3 - 5*m**3 + m**3 + 3*m**2 + 3*m**3 in the form v*m + q*m**2 + l*m**3 + d and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 + 24089947612\nAnswer: 24089947611.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*i**3*y**2 + 5*i**3*y - 200*i**2*x**2*y**2 + i**2*x**2*y + 398*x**2 + 2*y**2 wrt y.\nAnswer: 24*i**3 - 400*i**2*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 - 135*y**2 + 34*y**2 + 2*y + 34*y**2 + 1 + 3*y**3 + 68*y**2 in the form u + b*y + f*y**2 + r*y**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.98846342 rounded to 1 decimal place?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k + k - 2 + k + 2 + (0 + k + 0)*(3 + 0 - 1))*(-2 + 1 + 3)*(2 - 1 + 0).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 50*l - 147. Calculate c(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -37\/8169?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19402715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1025, 1\/2, -12, 4, -0.1, 1, -5?\nAnswer: -1025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.001 + -6. Let r = 0.001 - f. What is the second smallest value in -5, 0.2, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let k = 11 + 12. Let y(d) = 26*d. Let f(m) = 880*m - 1536*m + 863*m. Let z(t) = k*y(t) - 3*f(t). Calculate j(z(a)).\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -11. What is the highest common factor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1680 and 320.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhdvzzzz. Give prob of sequence vvz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49937 or 49924?\nAnswer: 49937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/55 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7777940 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 2*c - 2. Let w(u) = 15*u**2 - 11*u + 11. Let f(j) = -11*t(j) - 2*w(j). Let v(h) = -5*h**2. What is v(f(y))?\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 20 = 7*q + 6. Factor 1\/2*f**q + 49\/2 - 7*f.\nAnswer: (f - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Suppose 17 = -3*s - 5*x, 9*s - 3*x = 6*s + 15. Let v(a) be the third derivative of 0 + 0*a - 1\/6*a**3 - 3*a**2 - 1\/12*a**4. Give s*v(c) + 4*q(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 11:51 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -28\/7937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11808 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 w(z) = 11*z**4 - 8*z**3 + 7*z**2 - 118. Let g(p) = 12*p**4 - 7*p**3 + 6*p**2 - 119. Let c(s) = 7*g(s) - 6*w(s). Differentiate c(b) wrt b.\nAnswer: 72*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -2*k**3\/3 + 3*k**2 - 5*k. Find the first derivative of j(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -10)\/(-3) - 2. List the prime factors of 4 - 1 - (-3 + x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-5*(-1*sqrt(18) - sqrt(18)))\/sqrt(6) + sqrt(12)\/sqrt(4)*4 + -3*(0 + sqrt(3)))**2 + 1).\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 2*p + 262 - 805 + 264.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -267*d - 2975. What is x(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 37*t - 31*t. What is the least common multiple of (-92)\/(-4)*(-1)\/(-1) and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/420)\/(8\/6*24*(-3)\/48)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/4 + 29*i**2\/2 + 1259*i\/4 + 300 = 0.\nAnswer: -16, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100 (base 2) to base 16.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 5*a - 3. Let y(h) = -h**2 - h - 2. Let u(z) = 2*q(z) - 6*y(z). Find the first derivative of u(s) wrt s.\nAnswer: 20*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 13 - 31*h**2)*(5*h - 59 + 59 + 0*h - h + 2*h + (-h + 2*h + 0*h)*(0 - 5 + 3)) to the form a*h**2 + r*h + i*h**3 + f and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, t: 2, l: 2, i: 2, x: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*d = -359*d - 728. Calculate the remainder when d is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 129. Suppose -d = 17*j + 21. Let p(y) be the second derivative of -y**4\/12 + y**2 + 2*y. Determine p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -35?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Let g be (-1 + (-1 - -1))*-8. Let r = 3516 + -3513. Solve -4*f - 5*z = g, r*f + 14 = f - b*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - ((1 - 2)*7)\/((-12)\/40))*3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 33 = 3*h, 2*h = -4*z + 6 - 0. Let x = 11 + -8. What is the highest common divisor of x and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768 and 183508.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 28 = -4*m + 4*o, -4*o + 2 = -2*m. What is the second biggest value in m, 5, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512 divided by -2573.\nAnswer: -1512\/2573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 52. Suppose 0 = x - 4*b - c, 2*x - 3*b + 8 = 4*x. Solve 5*l + v - 2 = x*l, 3*v - 8 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k - 16. Let j(u) = -6*u + 17. Let h(q) = 3*g(q) + 2*j(q). What is the smallest common multiple of 2\/3 + (-44)\/(-6) and h(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533193?\nAnswer: 3, 223, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929733*w + 929733*w - 16*w**3.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 - 9*l - 9. Let i(a) = -a + 2. Let s(z) = 3*z - 9. Let f(u) = -4*i(u) - s(u). What is 18*f(o) + 2*r(o)?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 5721 = -6199. What are the prime factors of w?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/60 - 80\/100.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 2*w + 2*c + 2, 2*c = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 282, 294, 310, 330, 354?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-40) - 5\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -249*j - 4735. Let z be r(-19). Let m(a) = -1 + 1 + 2*a. Give m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-434)\/(-6) + 7\/(-21). Let x = -38 + k. Suppose 0 = x*v - 39*v + 825. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(2\/(-11) + (-19)\/(-44)). Let l(i) = -i**2 + 12*i - 29. Determine l(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-54*r + 27*r + 30*r - 2) + 5*r - r - r in the form m*r + w and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose m - 9 = 3. Suppose -r = -4*r + m. Sort -1, y, r in descending order.\nAnswer: y, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.1 - 8.2. What is the nearest to v in -3\/5, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002439 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, l: 1, d: 2, p: 1}. What is prob of sequence dl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-140))\/(5\/(75\/(-2)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = 5*g - 10571, -2*g + 4222 = -2*q. Let n = g - -7287. Round n to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4693, 18786, 42283, 75184, 117489?\nAnswer: 169198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273798\/(-8904))\/(15\/20).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 131.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2 - 6*u - 1 + 0*u + 1. Let m(q) = -5*q + 2. Suppose 0*w + s - 7 = 2*w, 2*s = -5*w - 31. Let v = w + 9. Calculate v*h(d) - 5*m(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sacsssck. Give prob of sequence cack.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 85. Determine a(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 21*w - 6. Let t(z) = -5*z**2 - 85*z + 25. Let d(g) = -6*t(g) - 25*x(g). Factor d(s).\nAnswer: 5*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 4. Let w(j) = -6*j - 21. Let l(h) = -21*u(h) + 4*w(h). Let o(k) = -5*k**2. Determine l(o(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -250083226 divided by -17?\nAnswer: 14710778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 134 = -21. Let f = -107 - c. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:13 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 428225572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-60) + (-12)\/(-18)*(-3)\/5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 47*z - 15. What is d(17)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 4*j - 2*j)*(-394*j + 214*j + 258*j - 24).\nAnswer: 156*j**2 - 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 19*o = -344. Let w = 214\/5 + o. What is the closest to -1 in w, 0.3, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 51.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9037316 less than 0.3?\nAnswer: -9.6037316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 21*c - 19. Calculate q(10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 96*l**3 - 364*l**2 + 1080*l.\nAnswer: 4*l*(l - 27)*(l - 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2623 times -4659?\nAnswer: 1222.0557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1075*z + 7373. Determine k(-7).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99711 * 5.8.\nAnswer: 578323.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 2*s + 7*s - 7*s**2. Let r(v) = -5*v**2 + 3*v. Let t(u) = 3*a(u) - 5*r(u). Let j(m) = 3*m**2. Calculate j(t(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 2*g**2 + g. Suppose 8 - 2 = 3*v - 3*h, 3*h = -4*v + 8. Suppose -s - 1 = -v*s. Calculate l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9050 - 63335\/7. Which is greater: -192 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -159 in descending order.\nAnswer: -1, -3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*l + 23435 - 24891 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 545 * -3\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = -0*q. Let a be (-12)\/1*(-3)\/q. Suppose -f - 5*b = 2, 3*b = -0*f - a*f - 8. Which is smaller: -16 or f?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*a*f*h - 29000*a*f + 2*a*h - 2*f*h + 52*h - 4 wrt h?\nAnswer: -114*a*f + 2*a - 2*f + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12524 + -8257. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = -6*o - 3*t, -3*o + 4*t = 13. Suppose j - v = 6 + o, -2*j = -5*v - 14. Solve 3*q - 5 - j = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1167530 by -2566.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110124 - -311202?\nAnswer: 1421331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -11?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-1 - 2) + -1). Solve v = o*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:43 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 35. Sort g, 1\/12, 2\/7, -0.2 in descending order.\nAnswer: 2\/7, 1\/12, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1703, 4752, 7801, 10850?\nAnswer: 13899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5961206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 7, n: 1}. Give prob of sequence nj.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 97194.88um?\nAnswer: 97.19488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7324.532m to centimeters.\nAnswer: 732453.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = 8*i + 591. Let d be (-4)\/(-4 - i - 3) - 5. What is the fourth smallest value in -0.38, d, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-13)*v**(-24)*v)**(2\/27))**(-6\/7) assuming v is positive.\nAnswer: v**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**2*g*g)))**(-2\/27)\/(g\/(g\/g**(-2\/9)))**(-2\/37)*(g**(-2\/3)\/g**(2\/13))\/((g\/g**(1\/3)*g)\/g)**29 assuming g is positive.\nAnswer: g**(-265742\/12987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 0 (c) -0.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820180 and 50075555.\nAnswer: 8915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -20. Let w = -6 - k. Let v be 1\/(w - (-27)\/(-15)). Solve -q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 + 14*r - 75. Determine u(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1892585*o**3 - 519310?\nAnswer: -5677755*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 - 10*h + 11. Let s be r(9). Suppose 0*p + 15 = p - 5*d, -3*p + 3*d + 21 = 0. Suppose s*g = p*g. Put g, 1, 5 in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:17 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/16)\/(10\/(-16)))\/((-1)\/(-14))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - 94866*z**3 + 5999610435*z**2 - 126469787530450*z - 758926723293375\/2.\nAnswer: (z - 63245)**3*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -2, 3, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66650070 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*s**2)*(s*s\/((s*s\/((s*(s\/((s**2\/s*s)\/s))\/s)\/s))\/s)*s*s)\/s)**17 assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*c = -49, -4*c - 4 = -l + 19. Let i(f) = 13*f**2 + 2*f - 1. Let w be i(2). What is the greatest common factor of w and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14118)\/21)\/1 + (-2)\/(-7). Suppose 0 = -r - r - 2*q + 2456, 4919 = 4*r - 3*q. Let p = u + r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521 - 257 - 264 - 10*z**3 - 7*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 1\/5, -1.156, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 11101000111001110?\nAnswer: 11101000110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 2*o**2 - 3*o - 1. Let l be g(-2). Let m be 8\/48 + -13 + 23968\/192. Calculate the greatest common factor of l and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + -527\/6. Let x(j) be the second derivative of 0 - 3*j + 0*j**2 - k*j**3 - 1\/4*j**4. Find the second derivative of x(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwwiqq. What is prob of sequence wq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -370 - -258. Let v = -108 - s. Solve v = 2*n + 3*z, 2*z - 7 = -3*n - 3*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -968478 or -227\/7?\nAnswer: -227\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -13090*t + 13222*t. Suppose -8\/3 + 16\/9*l - 2\/9*l**3 + 2\/9*l**t = 0. Calculate l.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608.5829 centuries in decades?\nAnswer: 6085.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z + 52. Let x be f(-3). Let i(r) = -4*r + 18. Let v be i(x). Let 2\/7*p**4 + 4\/7*p**5 + 0 - 6\/7*p**3 + 2\/7*p - 2\/7*p**v = 0. What is p?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 0, 2*u + 180 = w - 422. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -450 - -455. Solve -40 = m*t - 5*a, -3*a + 19 = -3*t - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 34. Suppose 3*m = 4*x + m - 16, 0 = 2*x - 5*m - 16. Suppose 5*h + a - 250 = -18, -a = -x*h + 136. What is the remainder when h is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -583*b + 609*b + 416 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/(-87))\/(3\/(-108)*-304)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1206\/16 - (-12)\/(-32). Suppose 5*r + 270 = 5*v, -8 = -0*v - 2*v. Let n = t + r. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwr when three letters picked without replacement from {w: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*y + 321 = 0, 2*x + 0*y = -5*y + 214. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63722576 + -52?\nAnswer: 63722524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from wyyvvwwwyyyww?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506003909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -1991.91 + 1992. What is the closest to a in -5, -0.08, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -378, 2208 in decreasing order.\nAnswer: 2208, 0.4, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45274*s**2*v**3 + 865*s**2*v + 135763*v**3 - v**2 + 9*v + 1 with respect to s.\nAnswer: -90548*s*v**3 + 1730*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Let x(b) = -b**f + 2*b**2 - 2*b**2 + 0*b**2. Let d(r) = -5*r**2. Determine d(x(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 2. Let o be t(-8). Suppose 11 = 3*b + 3*x + 2, -2*b = -o*x - 6. Let l(q) = -3*q. Give l(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 3*t**2 + 8*t + 7. Suppose -7 - 1 = 4*p, s = 3*p + 1. List the prime factors of u(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2671, 5345, 8019, 10693, 13367, 16041?\n\"Answer: 2674*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10*b + 16065 = 0. List the prime factors of 2*(b\/(-10))\/9.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773 divided by -2\nAnswer: 773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(112)*-2*4 - -5*(sqrt(112) + 1) - (5 + sqrt(49)\/(sqrt(7) + 1*sqrt(112)))).\nAnswer: -61*sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b1c - 1?\nAnswer: -2b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146131 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 590550 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 10. Let p = -1089 - -1092. Suppose 32 = 2*i + 11*b - 13*b, -12 = p*b. What is the remainder when l is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:51 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 3*c**4\/4 + 64*c**3\/3 - 4*c**2 + 13. Let n be i(-7). Solve -2*b = -n*v + 1 + 5, b + 5 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27658 + -11700.2.\nAnswer: -11700.47658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132520486.\nAnswer: 2, 7, 9465749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.3 (b) 8 (c) 0.057 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15921*l - 584. Is h(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.6 + -1.8. Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/13 and -9\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/2937 - -11582\/243771. Let h(n) = n + 9. Let j be h(-8). Is j equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -160*m + 73*m + 56*m as y*m + c and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**5 + 10*r**4 - 1495*r**3 - 42*r**2 + 1692*r wrt r.\nAnswer: -960*r**2 + 240*r - 8970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let t(q) = -q**2 + 9*q - 10. Let x be t(7). Let o = x - d. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/6083555 and -48\/30417775.\nAnswer: 30417775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*r*w**5 - 2039654*r*w**3 - 1667*r*w - 37278*r - w wrt w?\nAnswer: -660*r*w**3 - 12237924*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 10. Let g be v(-10). Suppose f + 15 = 3*x - 0*f, 4*f - g = -2*x. What is the closest to 0 in x, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 6. Suppose -c*g = -4*g. Suppose g*q = -3*q + 42. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 1 = 7*u. Determine c so that 0*c**2 + 2*c**4 + 4*c**5 - 10*c**3 + 4 + u*c + 5*c**4 - 10*c**2 - c**4 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 2\/5 (c) 4\/7 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 2 + 22 - 16 = 2*p, 3*p = 4*u + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 0*n - 81*n**3 - 4 + 2*n + 85*n**3 in the form t*n**2 + k*n**3 + s*n + l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 4*y + 168 = 0, 23*y + 43 = -2*v + 20*y for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 341637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*2)\/(3\/(-4080)). Let f = m - -27253\/10. Let v = -4053\/550 + 274\/25. Calculate the common denominator of v and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:29 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7) + (sqrt(7) - sqrt(21)\/sqrt(3)))**2 - 1*-1*sqrt(7))*1.\nAnswer: -21 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w + 156. Let f be b(22). Sort -25, f, 0, 1.\nAnswer: -25, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35373 and 7293.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*t**2*z + 9786788*t**2 - 4348*t*z - 14*t + 3*z wrt z.\nAnswer: 11*t**2 - 4348*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 2685035.\nAnswer: -19\/2685035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4400, -4389, -4372, -4349, -4320, -4285?\nAnswer: -4244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5 = 8*c - 5*s, 3*c + 3 = 3*s. Let j(g) = 3*g + 585. What is the tens digit of j(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.119975 and 0.4?\nAnswer: 0.04799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -182 + 81. Let y = -88 - m. Solve -r = -l - 2, 3*l + y = -2*r - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(88) - (1*2*sqrt(88) - sqrt(88)))*-6)\/(sqrt(352)\/(-2*sqrt(11)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3)*27\/(-3). Suppose -2*x + 0*x = -8. Suppose x*v = v + w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k**3 + 5. Let s(z) = 4*z**3 - 3*z**2 + 3*z + 1. Let w(t) = 4*t**3 - 4*t**2 + 4*t + 2. Let r(u) = 4*s(u) - 3*w(u). Determine -2*d(l) - 5*r(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4437\/46 or 95?\nAnswer: 4437\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4958, -4957, -4956?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -717859 * 0.5\nAnswer: -358929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 - 4*y**3 + 5*y**2 + (4*y**2 - 2*y**3 - 4*y**2)*(2 + 3 - 4) - 3*y + 2*y**3 + 3*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - q**5 + q**5 + (q**2 + 4*q**2 - 4*q**2)*(-3 + 3 + q**3) - 4*q**5 + 5*q**5 + 2*q**5.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k. Let n(h) = h. Determine 12*n(z) - w(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 = 14*l + 2*z + 768, 152 = 4*l - 2*z - 3*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -2 + 23\/9*d**3 + 4\/3*d + 7\/12*d**4 + 10\/3*d**2. Factor h(y).\nAnswer: (y + 1)*(y + 2)*(7*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 2*m)*(m - m + 2*m)*(31*m + 1613 - 1613).\nAnswer: 62*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 3*w + w + (110 - 110 + 100*w)*(-2 - 3 + 3) to h*w + j and give h.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807159 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -69\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/222456 and -10\/24219.\nAnswer: 6006312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3642*i*s**3 - 2244*i*s**2 wrt s?\nAnswer: -21852*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 5*c + 3 - 3*c**2 + 3*c - 3*c**3. Let q be (-4 - -5)*((-45)\/3)\/3. What are the prime factors of w(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 - 24*d + 3. Let t be y(3). Let b be (28\/210)\/(t\/(-10)). Suppose z + z = -2. Sort 0, z, b, 2 in ascending order.\nAnswer: z, 0, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -81. Let w = f - -31. Calculate the highest common factor of w and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {r: 3, q: 3, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 6*c - 1. Let x be h(6). Let i = x + -8. Let b be (-12)\/i*(-9)\/(-2). Solve -2 - b = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410, -339, -268, -197, -126, -55?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 4*p - 1. Give r(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-871178778)\/(-1062))\/((-1 + 2)\/1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 69. Solve 3*a**2 + 60*a**n - 57*a**3 - 5*a - a = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1009, 9, 1\/11?\nAnswer: -1009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-113148)\/7184)\/((-3)\/(-16))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-4)\/16*2). Let k = -26 + 101\/4. Let w = -3.9 - 1.1. Which is the second smallest value? (a) y (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3456)*1*2)\/(2*sqrt(512)*3 + (sqrt(512) - (sqrt(512) + 1*(sqrt(512) - (-1*sqrt(512) + sqrt(512) - sqrt(512)) - sqrt(512))))).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4849 + -1103. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/(-65) + (-19)\/((-760)\/128). Let l(y) be the second derivative of -33*y + 9*y**2 + 37\/6*y**o + 0. Differentiate l(x) wrt x.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/16, -9, 0, 1?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = -4*q + 25*b - 47, -32 = 4*q - 4*b. Is (-2 + 1)*(q + -4608) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163\/3 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(931))*1)**2 + 5 + 2 + (sqrt(931) - (2 + -3*sqrt(931)) - sqrt(931) - sqrt(931))**2.\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19867*l - 9488*l - 13332*l.\nAnswer: -42687*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/(-28) + (-17 - -22) - -3 and 17\/217?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(605) + -1 + 0 + sqrt(605)*-2 + sqrt(605) + 1))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -3 + n + 4 - 5*n + 1 + 1562*n**2. Let w be m(-4). What is w rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(5 + -6) + 3. Solve -a + 1 = -d*z, 2*z + 0*z - 5*a + 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(2*j - 1 + 1)*(14 + 8 - 5)*(-1 - 3 + 2).\nAnswer: -136*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**6\/l)\/(l**(2\/19)\/l))**(2\/59)*l**(-2\/7)\/l*l*l**1*l*l*l**4*l*l*(l*l\/(l\/((l\/(l**(4\/5)\/l))\/l)))\/l assuming l is positive.\nAnswer: l**(358922\/39235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 1.55, 71, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76138, 148125, 220112, 292099?\nAnswer: 364086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -23, 0, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -23, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o**2 + 6 - 23*o**2 - 6.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 2*a - 1 + a)*(-3*a**2 + 15 - 2*a - 15).\nAnswer: 18*a**3 + 15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*s + 5*c, -114 = -5*s + s + 3*c. What is the remainder when 104 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 602264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1*((-50)\/20 + 1). Suppose 0 = 3*w - o*b + 15, 0 = -w - 2*b - 7 - 4. Put 1, -1, w in decreasing order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*c + 507 = 0, 56*c - 61*c = -9*u + 1507. Calculate the highest common divisor of u and 20328.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7370, 16921, 26472?\n\"Answer: 9551*x - 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiieeiiiiiiiiieeiii.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/17, -4\/179, -1, 0.1, 3, 229?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - 21 - (-67 - (25 + -88))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - (sqrt(3) + 5)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -9, -5, 1, -3, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1732\/(-24) - 18\/108. List the prime factors of (f\/(-30))\/((-1)\/327).\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3731837*d**2 + 169*d + 1196. Let f be v(-7). Round f to the nearest one million.\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:28 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*f**3 + 51*f**3 + 51*f**3 + 51*f**3 + 47*f**3 + 58*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 26*l + 224 - 114 to u + w*l and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*z + 494*z = 32341365. What is the ten thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1826?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/24*(-53991)\/(-3428).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -100b + -26b?\nAnswer: -127a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655136737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-7188)\/(-333))\/((-10)\/(-145)). Let c = u + -284. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23523 + -1\nAnswer: 23522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3)\/(1\/(-3)). Suppose -q - 3*q = -s - 215, -5*s = -2*q + 121. What is the remainder when q is divided by m\/15 - (-71)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -34409648.\nAnswer: -34409648.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 539 = 647 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + (14 - (2 - 3)) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3, 18 = 5*b + l - 4. Let c(h) = 16*h - 6*h - 4*h + 16 - b*h. Calculate the remainder when c(0) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 0. Suppose -6*r + r + 15 = x. Suppose 3*d = -16*w + 14*w - 4, -2*w - 2 = 4*d. Solve r*n - d*n = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-1)*((-498)\/(-30) + -5). Suppose -3*z - 2*b = -127, 0 = -z + 5*b + 7 + o. What is the remainder when 358 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let o = 8.2 - 9. Let p = o + 2.8. Sort 0, p, s in decreasing order.\nAnswer: p, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 1, o: 7, m: 1, q: 2}. Give prob of picking 3 o.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7 - 9*c**2 + 8*c**2 - 144*c + 148*c. Determine k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54a8c - c?\nAnswer: -54a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132525 is divided by 43983?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*z**5 + 29*z**2 - 7*z**4 - 501*z**5 + 249*z**5 wrt z?\nAnswer: -180*z**2 - 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183442 (base 11) to base 12.\nAnswer: -117726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4, -5*g + 0*g - 4*d + 3979 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -9734 - 18730. Suppose l = -4*v - p, -6*v - 4458 = -v - 4*p. What is v rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 1 in ascending order.\nAnswer: -10, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 - 1 - 1 + 293*s**2.\nAnswer: 293*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 25 - ((2 - 7) + 126 + -74)) + -9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -109308, -218613, -327918, -437223?\n\"Answer: -109305*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1414, -2877, -4340?\nAnswer: -5803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3405, -6799, -10193, -13587, -16981?\n\"Answer: -3394*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9*u*u**(-8))\/((u*u**0)\/u)**(5\/2) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4.6. Let j = i + 1.4000007. What is j rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 - 5*i**2 + 5*i + 5. Let s(v) = -8*v**3 + 6*v**2 - 6*v - 6. Let q = -5 + 9. Let t = q - -1. Give t*s(r) + 6*z(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/7, -13, 52, 0.1.\nAnswer: -13, -5, 0.1, 3\/7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 2340*u**2 - 194385*u + 914050.\nAnswer: -5*(u - 362)*(u - 101)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 6) in base 5?\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/8 - j**3\/2 - 3*j**2\/4 - 9*j. Determine w so that x(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 2. Suppose 34 = 6*f + 64. What is g(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17061, -68236, -153525, -272928, -426445?\nAnswer: -614076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*c - 10 = 278*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 1 - 16. Let l = a + 29. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 12*r - 15 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwqqqqqmwwwqwwqqwwqw. What is prob of sequence qmq?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 414\/(-1656)*3\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*j + 69 = 0, 0*u - 5*j = -2*u + 25. Let q be ((-15)\/10)\/(4\/(-256)). Suppose q = 5*b + 7*b. What is the lowest common multiple of b and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(-2*w**2 + 5*w**4 + 2*w**2).\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1735025 by -1735025.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 492 = 4*r, 0 = 4*v. Suppose -3*p - r = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnnljnlvllvvnvngvvnv. Give prob of sequence nv.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.4, 1.6, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2 = g. Suppose -2*m = -3*u - u + 8, -3*u = -g*m - 6. Put u, 4, 5 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805985943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 15. Let h(i) = 3*i**2 + 1. Give h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + a**2 + 0 + 1)*(28*a - 5*a + 0*a - 2).\nAnswer: -69*a**3 + 6*a**2 + 23*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 2. Suppose -z*i + 10000 = -3*i. What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 7*x**2 - 7*x + 4. Let s be u(4). Let m be (-5 - -1)*924\/s. Let g = -42 - m. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 425*a + 3720 = 0. Calculate a.\nAnswer: -93, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -18, 29, -2\/7, 2, -0.5 in increasing order.\nAnswer: -18, -0.5, -1\/3, -2\/7, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623779723?\nAnswer: 7, 47, 239, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2 - (-9)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, -4, -57, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -121. Let b = d - -35. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-49.172\nAnswer: -98.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583090 is divided by 1291448.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 13 + -3 + 0 + 11 - (190 + -75)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 0, -8*a + 3*a + 3*z = -26. Suppose -2*x + 14 + 2 = 4*c, -c + a = -5*x. Sort 0, 0.5, 2, c in ascending order.\nAnswer: 0, 0.5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - 2*f**2 + 4*f - 2. Let m(j) = -j**3 - 1. Let y(x) = -2*m(x) - n(x). Suppose -35*q = -80 - 25. Give y(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1777 - 1776.7616. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120394496 to the nearest integer?\nAnswer: 10972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 5*n**4 - 5*n**3 + 5*n**2.\nAnswer: 5*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4594303nm to micrometers.\nAnswer: 0.0004594303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 8, 3993 in decreasing order.\nAnswer: 3993, 8, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98121, -392500, -883127, -1570002?\n\"Answer: -98124*b**2 - 7*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1687773523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1507?\nAnswer: -5\/1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 + 2204*f**3 - 269202*f**2 - 186238000*f - 14280500000 = 0?\nAnswer: -125, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 4:58 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let w be z(1). Let k(h) = -5 + w*h + 5. Let m(d) = -d**2 - d - 1. Let o(c) = 2*c**2 + 4*c + 4. Let f(j) = -4*m(j) - o(j). What is k(f(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 0 + 24 - -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 9*i**2 + 11*i - 3. Suppose 2*b = 5*b - 24. List the prime factors of v(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1361, 2720, 4079, 5438, 6797?\n\"Answer: 1359*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -19*j - 532. What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -155, -5 in decreasing order.\nAnswer: -5, -11, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 23*l**2 - 29*l - 17. What is the remainder when u(-22) is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - d**3 + 2007*d**2 - 2*d**3 + 6*d**3 - 2005*d**2 to t*d**3 + r*d + q*d**2 + f and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 156187 divided by 216\nAnswer: 156187\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*m**2 - 1016*m + 0.\nAnswer: -4*m*(m + 1270)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 1:30 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/368 and 75\/416.\nAnswer: 9568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + -3 + (-10 - -9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9163.583 millennia to months.\nAnswer: 109962996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (0 - -2) + -6. Let p = 70 - 348\/5. Which is the closest to 0? (a) -4\/5 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20088 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 605963646 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 293537, 0.2?\nAnswer: 293537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68240 is divided by 16952?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263 and 127?\nAnswer: 33401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3915534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/34 - 10*c**3\/51 + 8*c**2\/17 - 8*c\/17 - 55. Factor s(z).\nAnswer: 2*(z - 2)**2*(z - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 + 21 - (28 + -6 + -6 - 14))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8257.2 - 8257.2056147. What is i rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*g + 9463, 3*u = 5*g + 13710 + 494. What are the prime factors of u?\nAnswer: 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3932*p - 6498. Is r(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + 81 - 603*m + 318*m + 285*m - 2*m**2.\nAnswer: -2*m**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-3)*u)**45)**(-8))**(4\/27))**(-32) assuming u is positive.\nAnswer: u**(-10240\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 67?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11629 + 17826. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 170. Solve t*f = -2*y - 8, -y + 0*f = -f - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**3 + 6*j**2 + 6*j. Let n(g) = -g**3 + g**2 + g. Calculate -5*b(h) + 30*n(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 94?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + 48. Let u = -95.9 + a. What is u rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25449 is divided by 81.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = -37. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-15))\/(5\/10). Which is the second biggest value? (a) u (b) 1\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, m: 4, d: 4}. What is prob of sequence dyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h*h\/(h\/h**(-3\/7)))**(2\/35)*(h\/h**0)\/h**4*h**(2\/9)\/h**(3\/4) assuming h is positive.\nAnswer: h**(-5863\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-99) + (-4206)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Suppose 0*t = -3*t. Let d(z) = -3*z + t*z + z + 3*z. Determine p(d(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 1, n: 3, l: 1, a: 6, p: 4, g: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -32*t - 10 - 2*t + 3*t. What is the units digit of y(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9)*2*2\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*s + 197*s + 32 = 0. Let d(f) = -791*f + 41. Is d(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1812 + 1811. What is the closest to t in 3\/53, 0.1, 2?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*c + 1, -c - q = 1 - 2. Suppose -3*o + 6*o - 123 = -x, 0 = -4*x + 4*o + 444. Let u = x - 111. Calculate the highest common factor of u and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/(-42)))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 2. Let k(i) = -11*i + 16. Let d(y) be the first derivative of -5*y**2 + 17*y + 3. Let w(h) = -5*d(h) + 6*k(h). Determine 11*s(p) - 2*w(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/10*5\/2. Let s(x) = 5*x**2 + 6*x - 2. Let t(b) = -5*b**2 - 6*b + 1. Let k(n) = h*t(n) + 4*s(n). Factor k(y).\nAnswer: -2*(y + 1)*(5*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)*p\/((p**(3\/8)*p)\/p))\/(p\/((p\/(p\/(p\/(p*p**0))))\/p))**(-3\/10) assuming p is positive.\nAnswer: p**(-431\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*p + 2 - 6, 0 = -2*a + 5*p + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004743 to seven dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f - 204. Determine i(19).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*j - 8, 13 = 3*j + s + 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 101.048. Let b = x + -1.252. Which is smaller: b or -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/35 - (-1)\/(14\/38). Let g be j\/9*3*(-9)\/(-3). Let k(n) = 2*n**2 - 9*n + 15. Let f be k(g). Solve 3*m = 3*a + f, -m + 14 = 2*m - 5*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in -2\/17, 3\/5, -3, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000090516 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:31 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4614576 and 1272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*y - 5*c + 6, 4*c = y + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 2. Let f = l - -7. Suppose -3*i = q - 63, f*q = -2*i - i + 63. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545612 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**3 - 1\/30*r**6 - 1\/12*r**4 + 0 - 7*r**2 + 1\/56*r**8 + 4\/105*r**7 + 0*r - 2\/15*r**5. Find k, given that d(k) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:15 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 4*d**2 + 2*d + 1. Suppose -w = -4*z - 14, 5*z + 8 = z. Let i be ((-3)\/(-2))\/3*w. Calculate c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.779754 kilometers in micrometers?\nAnswer: 779754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqn. What is prob of picking 1 n and 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -826*w**4 + 9914*w**3 - 23978*w**2 + 14926*w - 36 = 0. Calculate w.\nAnswer: 1\/413, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (253 - 2)*(-1)\/(-1) - -1. Suppose -6*f + 2*f + u = 3*a, -5*a - f + 437 = 0. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91*r**4 + 4*r - 3.\nAnswer: -364*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9*k + 30 = 7*k, 0 = -2*k - 10. Suppose -y + 5 = -h + 2, 3*y - n = 2*h. 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(b) be the first derivative of -5*b**4\/4 + 10*b**3\/3 + 5*b**2\/2 - 10*b - 17. Find m, given that s(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.301005 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 - -5b?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -525.92 minus 5?\nAnswer: -530.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -21c?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmfmmmlmlmlllmlplll. Give prob of sequence fll.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 - 3*f - 5. Let o be u(5). Suppose -r + o*r = 36. Let a(c) = c**3 - 9*c**2 - c + 11. Does 2 divide a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/12)\/((-55)\/(-20)))\/((-1)\/18)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 1)\/((-51)\/9928). What is the greatest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3 - 102*t**2 - 1001*t = 0.\nAnswer: -91, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33790777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 42. Let q(o) = -o**3 - 4*o**2 + 12*o + 6. Suppose -3*p - 5*g - 23 = 0, 7 = -2*p + 2*g + 3*g. Let m be q(p). Does 9 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41487 is divided by 4520.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/4))**(-9)*u**(-4\/5)*u**8*((u**(-2\/11))**(-7))**(-1\/55) assuming u is positive.\nAnswer: u**(1033\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 80662 - 1605*m**3 - 80660 - 412*m**3 in the form i*m**3 + b + h*m + t*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**3 + 0*t**3 + 757*t**2 - 742*t**2 in the form y*t**2 + n*t**3 + l*t + d and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 20 = 5*q, -4*q - 27*x = -26*x + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, p: 1, n: 4, s: 4, b: 2}. What is prob of sequence ssbb?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 50*s**2 - 160*s - 72. Let m(k) = -5*k**3 + 48*k**2 + 159*k + 76. Let c(a) = -4*m(a) - 5*q(a). Find g such that c(g) = 0.\nAnswer: -2, -2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*u**3 + 11*j*u - 15*j + 93631*u**3 wrt j.\nAnswer: -2*u**3 + 11*u - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 4, l: 6, s: 1, d: 3, p: 1}. What is prob of picking 2 v?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 104\/2173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2439063336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 288*c - 13032. Let t(a) = 2*a + 5. Let z(m) = j(m) - 18*t(m). Suppose z(f) = 0. Calculate f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 + 10200012?\nAnswer: 10202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99384 and 4951626.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 42789\/2692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-20) + 4)*(-20)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/50*(-495)\/(-1782)*6\/26*-3\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 151806567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 227, 224, 221, 218?\n\"Answer: -3*d + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:20 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -32*f**3 - f**2 + f + 3. Let x be v(-1). Let z be (2 - 14) + 0\/(-3). What are the prime factors of x*(4 + 28\/z)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 122 (b) -191 (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 0.0415, 40, -9.1, -1 in ascending order.\nAnswer: -9.1, -1, -1\/10, 0.0415, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - i**4\/4 + i**3 + 5*i**2\/2 + 5*i. Let k be g(-5). Suppose 0 = 3*q + 2*q - k. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -64, -76, -92?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 1, s: 1, z: 1, h: 2, p: 5}. Give prob of picking 2 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2811 + 4419. What is the least common multiple of n and 72?\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41024 divided by -179.\nAnswer: 41024\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 27. What is the remainder when 12 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*k + 47*k - 4*b - 12, 3*k + 7*b = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 30. Let o be (b + 2\/1)*-45. Let w = -23 - o. Solve -f + 3*a = f + 9, 5*a - w = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**2. Let a(j) = j**3 + 2*j**2 - j. Suppose -5*z + z + 4 = 0. Let y be a(z). Let x(s) = -s + s + s**2 - y*s**2. Give x(k(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 13) to base 9.\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258606.\nAnswer: 2, 3, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:40 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 72, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.863 kilograms in milligrams?\nAnswer: 367863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-10)\/(-70)*-7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -1. Let w(q) = q**2 + 11*q - 30. Suppose -3*r = -3*f - f - 50, -22 = f + 4*r. Let x be w(f). Solve -3*s + x = c, -4*s = -4*c - 2 - b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 13 + 17 = 0. What is the smallest common multiple of (-7 - -37)*(-6)\/(-10) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 - (4 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -869 + 891. What is the highest common factor of 2629 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4439667 divided by 1081?\nAnswer: -4107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:10 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + 0)*77\/42 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 17. Let v(p) = p**3 - 9. Suppose 224 + 168 = 56*u. Calculate u*v(q) + 3*c(q).\nAnswer: -2*q**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 11*s**2 + 21*s - 4. Let n be d(-3). Solve 2*a - 4*y - 22 = 0, -n*y = 2*a - 2*y + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-5))\/(((-38)\/(-5))\/(-19))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1056\/(-5632) + 157\/(-16) - -12. Solve 75\/2*x**z + 21*x**3 - 87\/2*x - 15 = 0.\nAnswer: -5\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*z = -2 + 1, 5*z = -2*r + 2. Let p = 1 + r. Suppose 4*g + p = 6. Which is bigger: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*o - 7, 5*o - 22 + 3 = -x. What is the fourth smallest value in 0.06, 0, x, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98422*o**3*t**2*z - 6*o**3*t**2 - 1464*o**2*t**2*z - 2*o**2*z - 12*o**2 wrt o?\nAnswer: -590532*t**2*z - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 + 3*t - 9. Let g(m) = -m**3 - 4*m**2 + 2*m - 8. Let f(z) = -6*g(z) + 5*x(z). Let i be f(-2). Let a = -5 - i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78555?\nAnswer: 3, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16218 and 3621?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1692*l**5\/11 + 362086*l**4\/11 - 20400016*l**3\/11 + 107316366*l**2\/11 + 128231584*l\/11 + 151424\/11 = 0.\nAnswer: -1, -1\/846, 7, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32*f. Let i(h) = 2*h. Determine g(i(c)).\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/(-148)*2)\/(6 - 168)?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -12. Suppose l*o - 21 = 3*z + o, 4*z = o - 28. Let v(b) = b**3 + 9*b**2 + 9*b - 9. Is v(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11808 or 11827?\nAnswer: 11808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 711 = 2*d. Let c be 8*(-24)\/(-144)*(-30)\/(-8). Suppose 3*q + 2*q = -c, -4*q = -u + d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 642 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(3*i + 2 - 2)*((-i + 2*i + i)*(3 - 6 - 5) + (-i + 0*i + 3*i)*(2 - 2 - 1) + i - 3*i + i).\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1414021222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*m**2*s + 4*m**2 + 17*m*s + m + 1007969*s with respect to m.\nAnswer: 60*m*s + 8*m + 17*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61.56232 decades?\nAnswer: 7387.4784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9138*k**2 + 10*k - 10*k + 10450 - 10450 to c*k + u + y*k**2 and give y.\nAnswer: -9138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 + -6.2. Which is the nearest to -1? (a) -1 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19435\/15 - 3\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/29608 and -3\/2?\nAnswer: 29608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365262 divided by 1.\nAnswer: -365262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3 - l**2\/2 + 7*l + 4. Let d(m) = -2*m**2 - m + 6. Determine -5*d(h) + 4*j(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -265*k + 5. Let v(a) = -10071*a + 189. What is 189*f(i) - 5*v(i)?\nAnswer: 270*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, -5, -2\/19, -0.5, 129\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3447\/22 + -2268\/11. Find the common denominator of x and -67\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307818023 to the nearest integer?\nAnswer: 36164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1483, -1765, -1991, -2137, -2179?\n\"Answer: 4*p**3 + 4*p**2 - 322*p - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:43 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) - sqrt(112)) + sqrt(3) + (0 + sqrt(3))*-4.\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 3*g + 2*g**4 + (0*g + 5*g - 4*g)*((-2*g**2 + 0*g + 0*g)*(-4 + 2*g + 4) + 2*g**3 - 3*g**3 + 2*g**3) + (21 + 9 + 109)*(0*g - g**4 + 0*g).\nAnswer: -140*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, 0, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8338*-0.09\nAnswer: -750.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401576841?\nAnswer: 3, 44619649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/5*72\/(-900).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557456.\nAnswer: 2, 3, 71, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5596, -44941, -151750, -359755, -702688, -1214281?\nAnswer: -1928266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 13*r - 7. Let l = -10 + 10. Let f be 0 + (l - (-8 + -3)). Let y be g(f). Solve -5*k = -2*k - t + y, 0 = -5*k + 3*t - 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 + 6*y + 1. Let r be k(-1). Solve 0 = -n + r*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 2, o: 4, d: 3, t: 6, h: 1}. What is prob of picking 1 o, 1 h, and 1 t?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmeememmm. What is prob of sequence meme?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-31)\/(-11) - 3. Which is the closest to 1? (a) -6 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 + (-6 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154*5\/(-25)*-6*(-25)\/(-105).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7888\/(-1972)*(-10)\/4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1735\nAnswer: -520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 271 divided by 4\nAnswer: 271\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 5) to base 9.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 3904?\nAnswer: 46848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3583210568870.999999031 - 3583210567220. Let z = n + -1651. What is z rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 77 = 117 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1029*j**2*n**2 + j**2*n - 73*j*n**2 - 166*j*n - j + 7*n wrt n.\nAnswer: -2058*j**2 - 146*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 7. Suppose -22 = -2*d + 5*f, -4*d + 3*f = f - 44. Suppose 5*t + 4*s = 42, 1 + d = 4*s. Determine q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37695767 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 5*b**3 + 5*b**3 + 3*b**2.\nAnswer: 10*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-66)\/(-18))\/((-5)\/(-3)). Let q = -324151\/9 + 36017. What is the third smallest value in u, q, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.3847.\nAnswer: 1.9235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -347 and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 254*x + 98*x + 3350 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230\/(-164)*(-1 - (-1)\/(-1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 1 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321\/5 + 64. Let i be 1\/(-3) - 1\/(-21). Let s be ((-1)\/2)\/((-1)\/6). Which is the closest to i? (a) s (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 5.\nAnswer: -5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**3 + 7*y**2 - 9*y - 10. Let g be c(2). Suppose -g = -18*i + 246. Calculate the greatest common divisor of 399 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - b**4 + (b - b + b**2)*(2*b**2 + 0*b**2 - 3*b**2) + 5*b**4 - b**4 - 3*b**4 - 21*b**4 - 47 + 47 + b**2 + (b**3 + 3*b**3 - b**3)*(-2 + 2 + 2*b).\nAnswer: -16*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43477 is divided by 8638.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9222 and 3?\nAnswer: 9219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 2. Let n(y) be the second derivative of -2*y**5\/5 + y**2\/2 - 7*y. Let g be n(1). Give l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 284, 263, 214, 125, -16?\n\"Answer: -2*p**3 - 2*p**2 - p + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/(k*k**(-3\/19))*k*k*k**(7\/8)*k**(-1\/15)\/k**42 assuming k is positive.\nAnswer: k**(-84437\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -204*i**3*z - 2*i**3 + 8*i**2*z - 2*i**2 + 5*i*z + 747 wrt z?\nAnswer: -204*i**3 + 8*i**2 + 5*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 26345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 7 - (-3 - (-9 - -28))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527702.\nAnswer: 2, 7, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) 10 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 8 + 4*l - 5)*(37410 - 37410 - 691*l) as v*l**2 + m*l + w and give v.\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -3. Let j = -7 - q. Sort -2\/5, 2, j in decreasing order.\nAnswer: j, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - 9*p**2 + 9*p**2.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/13 + 70*o\/13 + 432\/13 = 0.\nAnswer: -27, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -2 - (280 + -247)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q + 60. Let n = 16 - q. Let r be 12*1\/5 + -2. Which is the smallest value? (a) r (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/129 + -802\/903. Sort -2\/3, 10, x.\nAnswer: x, -2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 90.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*t**2 - 286216*m**3*t - 14*m**3 + 3375*m**2*t**2 + 2318*t**2 wrt m.\nAnswer: -6*t**2 - 1717296*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/45 - 16\/45. Let f = q + -1\/18. Suppose -z + 5*z = 0. What is the closest to z in f, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55242 and 3138750?\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/2)*f)\/f*f*f*f*f**(-2\/9)*f*f*f)**(-7\/2) assuming f is positive.\nAnswer: f**(-413\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 5*x. Let y = 10 - 9. Suppose -38 = -2*o + 4*t, -t = -x*t + y. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16981854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 22 = 4*h - 6*h, -h - k + 7 = 0. Let t be (-90)\/(-24) - (-2)\/8. Suppose t = -h*l + 10. What is the closest to l in 0, 5\/6, 0.2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 437 + -437.00906. Round j to 4 decimal places.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -12, 32, 114, 246?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34726282 or -2\/5?\nAnswer: -34726282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 35902?\nAnswer: 3\/35902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14034320 (base 6) in base 5?\nAnswer: -110041212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/8 - -13)\/(-4 + (-252)\/(-64))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 2*q. Let j(x) = 3*x**2 - 2*x. Calculate 4*j(s) + 5*r(s).\nAnswer: -8*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-7524)*-19)\/((-2)\/11)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1052 - 272. What are the prime factors of c?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136382.8 to the nearest one hundred.\nAnswer: -136400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49726?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -16) + (-3 - 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -16*f + 12*f + 12, -17 = 3*f + 5*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*x = -71*x + 1600. Let d = x + 40. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.447763l in millilitres?\nAnswer: 9447.763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -2. Let x = -7.8 - v. Let q = -1 - x. Which is smaller: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-817)\/(-2040)*(-2 + (-68)\/(-40)). Let n = 1\/400 + w. Sort -0.1, n, 3 in descending order.\nAnswer: 3, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, 1\/24, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((1 - 6) + 47 + -43)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 118 and -0.7?\nAnswer: -82.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305.77 litres in millilitres?\nAnswer: 7305770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5*m - 15*g**5 - g**3*m**3 + 79*g**2*m**3 + g*m**3 wrt g?\nAnswer: 60*g**2*m - 900*g**2 - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**2 - 25*n + 51. What is the remainder when j(2) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100853 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6349 smaller than -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2553268\/785 + -22768\/7. Let l = z - 63961\/1099. Let t = l + 58. Sort 0.1, t, -2 in increasing order.\nAnswer: -2, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/2))**(-5\/3) assuming r is positive.\nAnswer: r**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6009, 5621, 5235, 4851, 4469, 4089, 3711?\n\"Answer: f**2 - 391*f + 6399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02762 + -0.97238. Sort 5, j, -0.5.\nAnswer: j, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*o - 5755, 32*m - 1153 = -o + 33*m. Suppose 4*d = -10 + 34. Suppose 970 + o = d*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 4*u**2 + 8*u - 31. Give s(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29181, 5 in descending order.\nAnswer: 5, -4, -29181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 + 195. Suppose 52*c + 15 = l*c. Solve -2*u = -4*f + 6, 3*u + 23 = -c*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34516*a + 34464*a + 2236 = 0 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -620*q**2 - 632*q - 1. Let b be x(-1). Suppose 5*w = 2*k + 18, -4*k = -w + 3*w - 12. Solve 0 = w*z + 17 - 5, -b = -4*i + 5*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 22*n**3 + 5*n**2 - 10*n**2. Let i be x(5). Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12857\/5 - -2584. What is the common denominator of -40\/27 and p?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 260*t - 124. Is d(6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.52 - -7.52000763. What is r rounded to seven dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:24 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88665 + -2?\nAnswer: -88667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 189287.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)**(-3\/8)*(j**(-1))**(3\/29))**42 assuming j is positive.\nAnswer: j**(-5985\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppeivie. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(1 - 6 + 3)*(-a + a + a) - 2*a**2 - 2*a**2 + 2*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*w = 9, -1 = c - 0*w + 3*w. Let g(k) = k**3 + 2*k - 5 - 2 + 4 + k + 6*k**c. What are the prime factors of g(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 204 = 5*k - 34, 236 = 5*k + 3*g. Let t = k + 157. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3792\/4424)\/(1\/((-7)\/(-87)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190 - -6.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 z, and 1 u when four letters picked without replacement from {b: 2, f: 1, n: 3, u: 2, z: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 14. Calculate the greatest common factor of 20 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1858 - -2609. Let l = 740 - b. Is -20 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 - 287. Let k(c) = 35*c + 92. What is the hundreds digit of k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 39 = 5*u - 309, -171 = -4*u + 5*j. What is the remainder when 8770 is divided by u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2380 and 280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58719 from -1419591473.\nAnswer: -1419532754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + sqrt(605) + 0)*3 + (2 + sqrt(605))**2 + -2 + sqrt(605) + (sqrt(605) + -1)**2 + -3 + sqrt(605)).\nAnswer: 77*sqrt(5) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1926\/(-1498)*357\/(-90))\/((-3)\/(-2))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 1.48. Let s = b - -0.04. Put 2\/11, s, 3 in decreasing order.\nAnswer: 3, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - 2154*y**3 - 14754*y**2 + 241610*y - 224700 = 0. What is y?\nAnswer: -1070, -15, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-211300)\/(-350) + (-2)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-736)\/23))\/(56*11\/1056).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.042 months in decades?\nAnswer: 5.25035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 721, 703, 673, 625, 553, 451, 313?\n\"Answer: -d**3 - 11*d + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**3 + 2482*g**2 + 1928*g + 701. What is k(-275)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 92 = -183. Suppose 2*u = -0*u + 156. What is the highest common factor of u and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x + 5. Let h(s) = -41*s + 12. Let d(n) = -7*c(n) + 3*h(n). Let i(u) = -16*u. Let b(p) = 7*p. Let a(m) = 14*b(m) + 6*i(m). Give a(d(q)).\nAnswer: 34*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 6*i + 7. Let v be p(7). Let f(b) = 2*b + 144. Let a be f(v). Suppose a = -5*z + 7*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -22*c**3 - 1137*c**2 - 14694*c - 103. What is n(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 528*c - 523*c + 169, 2*c = -6*a - 248 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -883.5 + 884. Let z = -0.1 - -0.4. Which is the closest to 2\/7? (a) v (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 302 = -2*k + 4709, 4*y - 2236 = -k. What is the greatest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -5. Suppose 0 = -3*g - 0*g + 273. Let m = g + -821\/9. Which is the third smallest value? (a) q (b) m (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccmccccmm. Give prob of picking 2 m and 2 c.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 60237.27 months?\nAnswer: 5.0197725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*l - 51 = -663*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/28 + 204\/378\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 5*j - p = -3, 2*j + 5*p + 9 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.1 - -31.1. What is the nearest to x in -1\/6, -3\/5, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13991.\nAnswer: 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouoou. Give prob of sequence uooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*m - 26. Suppose m*f - 24 = 2*f. Calculate the smallest common multiple of 6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -315540.73607 - -315542. Round a to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = d + 5, 0*d - 4*u = -5*d + 70. Suppose -2*w - 1680 = -d*w. Calculate the greatest common divisor of w and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 19*a**2 - 2*a + 41. Let g be r(19). Calculate the highest common divisor of g and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 2*a**2 + 3*a + 0*a**2 to the form i*a + t + k*a**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -530*u**3 - 11635*u**2 + 39265*u - 27750 = 0.\nAnswer: -25, 111\/106, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(238\/28)*(-462)\/56.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/3))\/(h**(1\/5)\/h)*h\/(h\/(h**(2\/3)\/h)*h)*h\/(h\/h**2)*(h**(1\/4)*h**(1\/4)*h)**(3\/20) assuming h is positive.\nAnswer: h**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/90)\/((-8)\/(-72)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 + q**2 - q - 8. Let k(a) = -a**3 + 4. Let p(r) = 5*k(r) + 2*y(r). Calculate p(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -16. Sort -51, 3, z in ascending order.\nAnswer: -51, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 5) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 16, t: 4}. Give prob of sequence tt.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15905 - -16419. Calculate the remainder when i is divided by 89.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 - 6*q. Let d be m(-6). Solve 2*i = -g - 6, i + 6 = -d*g - 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/36 + 1\/4. Which is the second biggest value? (a) -1 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -8*n + 4*u + 23, -19 = -4*n + 3*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542 - 469 - 7626 = 301*v + 15443 for v.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-55) - 186\/(-10). Suppose p + t = -p + 2*c, p + 2*c + 6 = 0. Put -2, p, -1 in ascending order.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153\/2 - -1687\/22. Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*1*-3) + 6*(sqrt(147) - ((sqrt(147) - (-3 + sqrt(147))) + sqrt(147))))**2.\nAnswer: -1008*sqrt(3) + 2676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-86)\/(-43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**5 + 7*p**4 + 15740*p**3 - 2*p**2 + 610913*p - 9 wrt p.\nAnswer: -240*p**2 + 168*p + 94440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3590853 + 153.\nAnswer: 3591006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 51688?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let u(g) be the first derivative of -13*g**2\/2 + 13. Give t(u(a)).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-30)\/(-36)*((-12)\/2 + 84) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7692887 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/600 - 83*b**5\/100 - 79*b**2 - 2*b + 1. Factor m(x).\nAnswer: -x**2*(x + 249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2075 - 2075. What is the third biggest value in z, -0.06, 28?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*3\/15*144\/9.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -3.4. Let h be ((-8)\/10)\/(7\/(-210)). Let g be (1\/8)\/((-4)\/h). Put 1, g, r in descending order.\nAnswer: 1, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnnn when four letters picked without replacement from nnnfxxffggnnnfngfxx.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132.5 + 149. Let t = 17 - q. Let y = -0.04 - 1.96. Which is the fourth biggest value? (a) 4 (b) t (c) y (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 6*f - 18. Suppose 6*l + 3*l = -f. Let i(s) = s**2 - 4*s - 8. Let a be i(6). Sort l, 3, 1, a in increasing order.\nAnswer: l, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 2. Let k(j) = -7*j - 11. Let r be k(u). What is the third derivative of 15*p**3 + 8*p**3 - 8*p**r - 32*p**2 wrt p?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:27 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246.35 + 251. Let i = w - 3.86. Put 1\/5, i, 3 in increasing order.\nAnswer: 1\/5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ammax.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -23*n**4\/6 - n**3\/2 - 7*n**2\/2 + n + 3. What is the second derivative of g(u) wrt u?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 - -0.08. Which is the second biggest value? (a) f (b) 0 (c) 2\/15 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.03854621 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 4\/1 - 314. Let u be t\/1 - (13 - 11). Let p = u - -469. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4337100 divided by -1084275?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -603, 2\/13, -2 in decreasing order.\nAnswer: 2\/13, -2, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04563 + -0.24563. Which is the nearest to -1? (a) w (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 729.7 + -718. Let c = i + -15.7. Which is bigger: 7\/6 or c?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 24 = 4*p, 36 = 4*p + 4*h. Solve 5*m - 12 = 4*g + 2*m, 2*g - p*m = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238951 times -0.3\nAnswer: 71685.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(1\/7)\/g))\/g*g\/((g\/(g**8\/g))\/g)*g*g)\/(g**7\/g**(-1\/4)))**(47\/2) assuming g is positive.\nAnswer: g**(4747\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1466 + 13172\/9. Suppose u = -0*u - 1. What is the common denominator of u - 1\/((-10)\/(-47)) and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 8 - 0. Let a(f) be the first derivative of f**2\/2 - 2. What is the units digit of a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 6*v + 15. Let i be k(-11). Let h = i - -1320. What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34178 and -3?\nAnswer: 34175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 - 22 = 15*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g + 3 + 87*g - g**2 - 17 + 14.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/382 and -7\/40.\nAnswer: 7640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -32\/805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -116*k**2 + 14*k - 18. Give z(2).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**2 + 11*p**2 - 51*p**2 + 16*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 323*c - 74889. Calculate l(232).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 53*b**2 + 38*b**2 + 3*b**3 - 2*b**3 to c*b**2 + v*b**3 + w*b + f and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1898, 3768, 5638?\nAnswer: 7508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -11*d**2\/2 + 6*d - 11. What is the units digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401014807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 96 = -0*b. Suppose -132*h + 135*h = -66. Let o = b + h. Calculate the lowest common multiple of o and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - f - 4*f = 62, -26 = 3*r - 4*f. Let d be 10\/14 + (-4)\/r. What is the second smallest value in d, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttjj when four letters picked without replacement from {j: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32390687255 + 5*i**2 - 32390687255. Let u(b) = 675*b**2 - 55*b - 55. Let l(p) = -25*p**2 + 2*p + 2. Let c(n) = 55*l(n) + 2*u(n). Determine c(v(f)).\nAnswer: -625*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2928523.185 and -5.\nAnswer: 2928518.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 888681788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*r - 404 + 146. Sort r, -162, -1.\nAnswer: -162, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxmrjgrj. Give prob of picking 1 v, 1 g, and 1 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/6*117\/(-208))\/(555\/1480).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330333659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p, 2*u + 7 = 3*u - 2*p. Let h(f) = -f**2 + 6*f - 3. What is the remainder when u*(-1 - 14\/(-5)) is divided by h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 4) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570300 - 9287 = 29527*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -96*p - 3. Calculate s(1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6287 - 5*w + 0*w - 6772 + w in the form g*w + z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/5 + 8)\/((-690)\/15).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430214343 + 1?\nAnswer: 430214344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - h = 4*h + 3, 5*y = -3*h + 6. Suppose -11789*c + 11786*c = 0. Solve y*o + 2*o + 20 = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/368230 and 123\/198950?\nAnswer: 318518950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from yybbybyyybyyyyyybyyy.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba210 + -285?\nAnswer: b9b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028799020?\nAnswer: 2, 5, 103, 157, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -525*a - 6 + 545*a + 4 to the form v*a + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 85.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279378 is divided by 7334.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/14*(-14)\/(-2). Let y be (-18)\/4*4\/n. Suppose -2*k - 2*k = k. Which is the third biggest value? (a) y (b) -5\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -60, 4, 87 in increasing order.\nAnswer: -60, 0, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(6\/17)*(b\/(((b**1*b)\/b)\/b*b))\/(b\/(b**(1\/9)*b*b)*b) assuming b is positive.\nAnswer: b**(193\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 + 203*n**2 - 114*n - 1299. Give o(67).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + (-414470)\/(-210) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 204737276, 204737278, 204737280, 204737282, 204737284, 204737286?\n\"Answer: 2*l + 204737274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -13*n**2\/2 + 2*n + 2. Let t be i(-3). Suppose t + 7 = 3*f. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -987 + 987. Solve 7*p + k*p - 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44741?\nAnswer: 44741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:27 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3801 + 3971. Calculate the remainder when l is divided by 95.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6361120*m**4 + 5341948 wrt m?\nAnswer: 25444480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -59*v**4\/12 - 7*v**3\/6 - 37*v**2. List the prime factors of a(-1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 i, and 1 d when four letters picked without replacement from {c: 3, i: 1, d: 1, r: 8, g: 4}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2585210 is divided by 1454.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((6\/(-75))\/((-4)\/(-10)))\/((-1)\/30). Factor z*q + 9\/4*q**2 + 4 + 1\/4*q**3.\nAnswer: (q + 1)*(q + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*-0.1.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 341*o - 337*o, -4*c - 21 = o. Solve -3*r + 21 - o = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 9725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 450 = -2*h, -160*h + 24 = -164*h. Calculate the smallest common multiple of 385 and j.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from alllliaai?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*f - 158 - 167 = 0, 0 = -y + 4*f + 65. Suppose 4*d - 3*d = -y. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + 10*h**2)*(21*h - 30*h + 62*h).\nAnswer: 530*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*z - 79 - 164 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) -2 (b) -275 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-15) + (-452)\/12. Let l = o - -48. Suppose x - 20 = -3*x. What is the least common multiple of l and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 3*u - 7*u**3 - 3*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3378 and -8.\nAnswer: 27024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhahhahhhasi. What is prob of sequence as?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from xcccxcxiccvxvxo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 - 2*j - 2. Let d be g(4). Let z = 10 - d. Suppose z*b = 4*m - 92, -5*b + 2 = m - 3. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-75))\/((-10)\/(-6) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, q: 5}. What is prob of sequence eeqe?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.8 - -19. What is the nearest to p in 3\/5, 4, -3\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 20*v + 26. Let x be 5\/v - (-10)\/(-4). Suppose -2 = -f, -2*f + x*f = 4*h - 548. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344145 (base 7) to base 8.\nAnswer: -170047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - 6\/(-38). Is x bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 + 27 + (7 - 6)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385672?\nAnswer: 2, 7, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-22)*(-1)\/2. Let y be (-2 - -3)\/(2\/8). Suppose 5*p = -10, 2*k + y*p + 16 = 4. Sort 2\/13, s, k.\nAnswer: k, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 116 = -171. What is the third derivative of -108*f**4 + 35*f**3 - 24*f**2 - 76*f**3 + a*f**3 wrt f?\nAnswer: -2592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -141821, -21 in descending order.\nAnswer: 4, -21, -141821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 2. Suppose -h + 3*h - 14 = 4*w, 0 = -h - 5. Let x be y(w). Is 3 a factor of (-1)\/(-2)*x - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-425)\/(-1800)*-8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 75 = -5*u, u = 5*n - 159 + 6. Suppose -32*t + 5*p = -n*t - 1048, -1561 = -3*t + 2*p. Is t a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 36*x - 5 = 40*x, 2*h - 4*x = -10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/152663?\nAnswer: -2\/152663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/(-6 + 3)). Let q(o) = o**3 + o**2 + o - 1. Let h(f) = f**3 + 15*f**2 - 7*f - 16. Let g(s) = i*h(s) - 2*q(s). What is the tens digit of g(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n - 11. Let y be f(-3). Let v(r) = r - 10. Let j be v(6). What is the closest to 1 in j, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107374477 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 307 = 74*w - 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 14 = -i - 1, -y = -3*i + 19. Suppose -3*x - 4 - 1 = 2*j, -i*x = -3*j - 17. Let h(v) = -v - 6. Let l be h(-5). Is j > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:23 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 38473947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -33. Let u = 4 - 8. Which is the nearest to -1? (a) -0.2 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:41 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 + 12*i. Let b be r(6). Which is smaller: 5\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 + v + 1. Let a(o) = 110*o**2. What is a(z(q))?\nAnswer: 110*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 55066?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2883*d + 2966*d = 354 - 22. Solve -h - 2*y = -9, -2*h + 4*y = y - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3592.\nAnswer: 1\/1796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147376 and 303208.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -57*n - 3. Let c(y) = 229*y + 11. Calculate -6*c(d) - 22*j(d).\nAnswer: -120*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -34. Suppose 16 = 2*k - z*q - 4*q, -2*q - 12 = -2*k. Find the second derivative of -2*s**3 + 75*s - 51*s + k*s**3 wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 655195, 2620983, 5897301, 10484155, 16381551, 23589495, 32107993?\nAnswer: 41937051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 n when three letters picked without replacement from {k: 3, w: 3, n: 1, h: 3, f: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 7347*f**2\/4 + 1246968*f + 1248805.\nAnswer: (f - 6590)*(f - 758)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and 79\/1473396?\nAnswer: 1473396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 17*z**2 - 16*z - 40. Let p be x(18). Let i(q) = -6*q + 3. Determine i(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 2*o)*(-2 - 3 + 2) + (-o + 0*o + 2*o)*(-1 - 1 + 5) + (-2 - 1 + 2)*(-o + 3*o - o).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) - 6\/15. Solve 3*l = -2*g - 17 + 4, -l - 3*g - 9 = c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 5*d - 54. Determine i(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/34 - 6\/2) + 3. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.4 and 4.\nAnswer: -81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -199*a + 1961. Calculate u(9).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 656 and 1886?\nAnswer: 15088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 + 681774569*h**2 - 424756516*h?\nAnswer: -6*h + 1363549138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:14 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*u + 378*u - 85*u + 540*u to the form g + c*u and give c.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6044 - 6043. Let y be (-38)\/(-30) + (-14)\/(-35). Which is greater: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60*17\/(-612))\/((-20)\/(-204)). Let g(i) = -i + 4. Let d be g(6). Sort o, d, 3.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28367419 is divided by 61.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 173, -68.4, -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 273*x**4 + 270 wrt x?\nAnswer: 1092*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -1 - (-3 + 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 242*i - 11699. What is r(-37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 smaller than -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from {l: 3, f: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.088, -1\/225, -15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*t - 38, 4*t - d - 48 = d. Let r be 6\/51 - (-15)\/17. What is the greatest common factor of r and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -0.2 (c) 42 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 14 = -5*g, x - 2*g = 5*x. Let z be (-2)\/3 - (-24)\/27. What is the closest to z in 1\/6, 4, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -489 + 489. Put 7, o, -5, -4 in ascending order.\nAnswer: -5, -4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - -195. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/(-8733)*41*201.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c*u*z**2 + 17*c*z**3 - 40*u*z**3 wrt c?\nAnswer: -12*u*z**2 + 17*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.033 and 7.557771?\nAnswer: -0.249406443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g - 4*a - 72 = 141*g, 0 = 9*g + 7*a + 141 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 6948 + 12240. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 19860*y + 59598.\nAnswer: -2*(y - 3)*(y + 9933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w - 1 + (-2*w + 2 - 2)*(-7 + 2 + 4) + 1 + 2*w - 1)*(-35 + 22 + 126).\nAnswer: 339*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 0 + 192*j)*(-18 + 33 + 20) in the form x + v*j and give v.\nAnswer: 6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1436169 + 0.04361734. Let p = -0.1 - u. Let c = 0 - p. What is c rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-132)*2\/2*8)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 3 + 36*m**2 + 3 - 40*m**2.\nAnswer: -4*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 7*r = -19. Does 32 divide ((-1)\/(-1) - r) + 551 + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 15. Let m be 14\/s + 1 - -3. Which is the closest to 2? (a) 0.1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((66\/15)\/(32\/(-40)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381520227 divided by -5.\nAnswer: -381520227\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -80188 less than -2397855?\nAnswer: -2317667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = v + 4*h, -2*v + 5*h = 45. Does 4 divide (v\/45)\/((-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*k**3*w**3*z**2 - 7694*k**3*w**2*z**2 - 56*k**2*w**2*z**2 + 177*k*w**3 - 3*k*w**2*z**2 wrt k?\nAnswer: 90*w**3*z**2 - 46164*w**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 125 = 6*p + 4*j + 145, 0 = -4*j + j - 16 - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -61, -154, -287?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**9\/37800 - t**8\/16800 + t**4\/4 - 2*t. Let i(m) be the third derivative of g(m). Factor i(n).\nAnswer: -2*n**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -734\/7 - -27004\/259. What is the closest to 1 in 5, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 - 5*f - 10. Let d be m(7). Let g(u) = 2*u**2 + 4*u - 5. Let c be g(-5). Let w = d - c. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c37 (base 16) to base 14.\nAnswer: 11d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -9, -33, -79, -153?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -20. Suppose -11387 = 2*o + 10003. Is o\/(-10) - (1 + h\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 80. Calculate the highest common factor of f and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k. Let s(v) = 893224*v - 1. What is s(h(z))?\nAnswer: -5359344*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 423*a**4 - a**3 - 1111*a**2 - 701698 wrt a?\nAnswer: 1692*a**3 - 3*a**2 - 2222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**6\/240 + 2*d**4\/3 + 6*d. Let x(m) be the third derivative of y(m). Let o(a) = 4*a**2. Determine o(x(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -1\/10, 2\/15, -478 in ascending order.\nAnswer: -478, -1\/10, 0, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4c69 (base 13) to base 9\nAnswer: -15854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(((-9975)\/(-70))\/(-19)))\/3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92672a - -4?\nAnswer: -926726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3\/4, 1, 4, 27?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i + 36. Let u be g(2). Let r(q) = 26*q + 263. Let s be r(u). Solve s*b + 6 = 3*c - 0, -5*b = 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2504*q**2\/5 + 69656278*q\/5 + 166908\/5 = 0.\nAnswer: -27818, -3\/1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 minutes before 12:53 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:17 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/3 + 4 - 4. Suppose -648 = -f*k - 81. Let y = k + -117. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 69933205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -5)*(-3)\/(-5). What is the units digit of ((-9)\/(-6))\/(n\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u - 13*u - 7*u + 16529*u**3 - 14439*u**3.\nAnswer: 2090*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3790983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -59, -1 in decreasing order.\nAnswer: 3, -1, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y - y)*(16*y + 15*y + 1 - 9*y).\nAnswer: 44*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from vnwnlnnvnlbwz.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16100974 is divided by 255571.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/(u**3\/u)*(u*u\/(u*(u**(-6)\/u)\/u)*u)\/(u\/(u\/u**(-8))))**7)**41 assuming u is positive.\nAnswer: u**4592","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 410 + -415 + (12 - (2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/(-6) + (-120)\/(-558). Let q(i) = 5*i + 10. Let g be q(-2). Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122386 is divided by 284?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7737\/17 + 455. Let h be 2\/(-14) - (-1856)\/56. Let m = -32 + h. Which is greater: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3103101 + -101?\nAnswer: 3103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.07 - -4.6. Let m = k + 5.97. What is m rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {a: 4, p: 11, b: 2, o: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4*47720\/17895.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4450413 and -69\/983692.\nAnswer: 551851212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, 3, 2, -1.5.\nAnswer: -293, -1.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5345854 is divided by 785.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1116367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e08 (base 15) in base 2?\nAnswer: 1000001011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.1. Let p = -3\/4 - -5\/4. Put p, -6\/7, s in descending order.\nAnswer: p, s, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0571874 + -0.5?\nAnswer: -0.4428126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-992)\/(-1984) + 1 + 1*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5729, 2978, 227?\n\"Answer: -2751*w + 8480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -4 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 178. Let q(c) be the third derivative of -c**5\/60 - 3*c**4\/4 + 7*c**3\/6 - 3*c**2. Is 19 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + 119\/28. Suppose -4*j + 5*g = -6*j + 18, 0 = i*g + 8. Calculate the remainder when 151 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332233 (base 4) to base 6\nAnswer: 30331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let m be (-138)\/(-7) - b\/(-14). Suppose 0 = -4*u - 20, -3*u + 1 - m = -s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 553146\/(-108953) + 991\/208?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.103759207 - 0.015.\nAnswer: -0.118759207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/3 + 11\/12. Which is the nearest to -1\/5? (a) l (b) -0.14 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 615 = -5*u - 582, u = 5*f + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.575 and 311.\nAnswer: 178.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.9171 grams in milligrams?\nAnswer: 717917.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let w(c) = 257*c. What is b(w(h))?\nAnswer: -257*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 6*k - 123. Calculate j(-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjkg when four letters picked without replacement from {j: 3, g: 1, k: 9, v: 1}?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49650 and 9516912.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (216\/90)\/((-3)\/(-10)*2). Solve 0 = 6*b - 2*b + 2*c + 18, -4*c = k*b + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 9 (c) 0.3 (d) -480 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 * 0.4\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15499 - 15498. What is the biggest value in y, -2.3, -60?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 3. Let q(g) = 110*g**3 - 7*g**2 - 109*g**3 + 2*g**2 - 14 - 8*g**2 - 29*g. Let k be q(15). Let c be (k + 1)\/(27\/12 - 2). What is r(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32083994 is divided by 256.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3906 and 59\/1936074.\nAnswer: 5808222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.00172 - 10.0017195. Let y = -3 + u. Round y to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (1 - 0))*0. Suppose 4*u - 7 + 3 = g. What is the tens digit of u*-10*(-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, 2, -11, -20, -2 in ascending order.\nAnswer: -20, -11, -2, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 59\/4*y**4 + 6*y + 0*y**3 - 115*y**2 - 6. Find the first derivative of b(o) wrt o.\nAnswer: 354*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 + -90 + -142 + 160 - (0 + 6).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 9.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.78 + -1. Let v = z + 0.32. Let r = 1.99 - 1.9. Which is the closest to r? (a) v (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 4*x**2 + 2*x**2 + 4*x - 4*x + x**2 + (1 - 2*x - 1)*(-6*x + 2*x + 3*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 15*v - 17. Calculate h(-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.5, 12, 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 6*i + 7. Let j be h(-5). Let x = -32 + 48. Suppose -x = 3*s - 28. Solve -j = -m - s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 585 - 939. Let t = l + 757. Put t, -6, -4, 2\/9 in decreasing order.\nAnswer: 2\/9, -4, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000956 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 5. Let a(y) = -y - 2. Let i(c) = -5*a(c) + 2*r(c). Let t(q) = -5*q**2. Let h(s) = -16*s**2. Let o(b) = -3*h(b) + 10*t(b). What is o(i(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, -17, -105, -217, -347?\n\"Answer: l**3 - 21*l**2 - 2*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-4)\/(100\/(-105)). Let g = -0.1449 + -0.1551. Which is the nearest to d? (a) -4 (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -22*c + 1. Let k be a(-1). Let r be (0 - -3) + 4 + -3. Let s(f) = -f**2 + 5*f + 6. Let p be s(6). Solve -1 = o - 2*j, r*o + j - k = -p*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1122*f + 57 = -1123*f - 2*d, -5*d = 6*f + 132 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 12. Calculate the remainder when 3\/((-30)\/(-4)) - (-353)\/5 is divided by y(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 89?\nAnswer: 6\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -2 - 1 - (7 - -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-49))\/5*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 3*a + 0*a = -6*a, 3*b + 4*a = 13 + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 20*y + 35. Calculate o(-9).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39185201.\nAnswer: 11, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*z + 0 - 2\/7*z**2.\nAnswer: -2*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*k*m**2 - 6*k*m*q**3 + 3*k*m*q + 24*k*q**2 + 1947*m**2*q**3 wrt q?\nAnswer: -36*k*m + 11682*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -413, -410, -407, -404?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y\/y**(-2\/21))\/y)))\/((y\/(y**(-4\/3)\/y))\/y))**9 assuming y is positive.\nAnswer: y**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**2 - 2*d + 8. Let m(x) = -23*x**2 - 5*x + 15. Let p(t) = -13*g(t) + 6*m(t). Let b be ((-3)\/(-6))\/((-1)\/88*4). Is p(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 3\/9*(-9)\/6*-460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -100*b. Calculate k(-1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let s = 3.95 - 4. Let v = s - 0.45. Put 1\/2, n, v in ascending order.\nAnswer: v, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -89. What are the prime factors of 7\/(-35)*y - -244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402633 by 134211.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (80\/28)\/(((-968)\/(-385))\/(-44))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110010101 (base 2) to base 13\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46228999 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39499 is divided by 7474?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001390346057 to 6 dps.\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let v(h) = 555*h. Let m(l) = 569*l. Let o(q) = 4*m(q) - 5*v(q). Give o(w(u)).\nAnswer: 1497*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((1 - -14) + -15). Solve -5*l - r - 5 = x, -l + 3*l + 3*r = -15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1121 = 4*l, 0 = 5*m - 18 - 7. Suppose 5*y - k + 25 = 0, -5*y - 3*k + 7*k = 10. Is (l\/y)\/(8\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 519\/188276?\nAnswer: 519\/188276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152.3 in -5, 7, 0.4, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -4)\/((-3)\/(-4)). Let c = 26 - t. List the prime factors of (c\/(-2))\/(2\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.0383 (b) 0.9 (c) 0.71 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = 45*u - 47*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**4\/4 - 5*u**3 - 132*u**2 - 624*u + 874. Factor x(v).\nAnswer: 3*(v - 13)*(v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400551508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(16 + 330 - 62)*(4*l**2 - l**3 - 4*l**2).\nAnswer: -568*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10176518365 take away -3?\nAnswer: 10176518368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**2 - 3*s**2 - s**2)*(s + 2 - 2) + 0*s**3 + 0*s**3 + 4*s**3 in the form j + u*s + r*s**2 + n*s**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 6 = 4*u - 5, u = 5*a + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -24, -1, -2 in decreasing order.\nAnswer: -1, -2, -24, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(99126\/247890 + 2\/(-5))?\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 3:34 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*x + 5*w, 0 = 3*x - 4*w + 5*w + 5. Suppose x = 5*f - 3*s - 27, -2*s - 20 = -4*f - 0*s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 26 = 3*x + x, -2*x + 2 = -5*f. Let j be 4\/x - (-4)\/(-6). Solve -b + j*l = 3*l + 4, 4*l = -4*b + 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*k + 15, 60 = -3*u + 84*k - 89*k for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - f - 110 = 17*s - 29*s, 0 = f - 4*s + 38 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, -1238, -4 in decreasing order.\nAnswer: 4, -2, -3, -4, -1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/25)\/(v**(2\/79)*v)*v\/(v\/(v\/(v*v*((v**(2\/47)\/v)\/v)\/v*v*v*v))*v)*v*(v\/v**(-8\/7))\/v)**(-29) assuming v is positive.\nAnswer: v**(18937928\/649775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19.733888 and -5.504.\nAnswer: 14.229888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6786 and 19836.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 0*m**2 + 26*m**4 - 24*m**3 - 28*m**4 + m**2 to z*m + s*m**2 + g + l*m**4 + w*m**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.67263 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 190, 142, 56, -74, -254, -490, -788?\n\"Answer: -b**3 - 13*b**2 - 2*b + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 9 - 12*k + 36 + 7 - 13. Let x(i) = -i**2 + i. Let d(r) = 3*g(r) + 6*x(r). Factor d(b).\nAnswer: -3*(b - 3)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doolloteleeoo. What is prob of picking 1 e and 1 d?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 3*w - 4*w - w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27017811 is divided by 1866?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11439 is divided by 2287.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/(-684) + 26*(-5)\/8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40 + 231*t**2 - 5*t - 81 - 40*t + 41 wrt t.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223139 (base 10) in base 16?\nAnswer: 21ec23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 + 0 = 0. Suppose 68 = i*s + 8. What is the common denominator of 37\/16 and 93\/12*(-6)\/s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2256134 * -10.\nAnswer: -2.256134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/65 and -98\/2925.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**2 - 3*n - 51. What is r(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.19 - -0.19. Let v be 0\/(-1) + 6\/(-16). Which is the third smallest value? (a) 0.1 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 4*u - 3 - 8*u. What is the remainder when z(-2) is divided by (-17)\/(-3) + 5\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -51 + -9 + 14 + -10 + 5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwbb when four letters picked without replacement from {t: 1, a: 2, b: 2, m: 1, w: 6}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 28*u - 33. Let s(p) be the third derivative of -p**5\/60 + 7*p**4\/12 - 2*p**3\/3 + p**2. Is 29 a factor of s(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a942 (base 14) in base 10?\nAnswer: 29262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 2*p - 2. Let j(n) = -5*n**2 + 3*n - 3. Let v(o) = 2*j(o) - 3*r(o). Let f(l) = -7*l. Give v(f(a)).\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(208) + -3*-6*(-1 + sqrt(13) + sqrt(13)) - ((1*sqrt(520))\/sqrt(10))\/(sqrt(2048)\/sqrt(8)))**2.\nAnswer: -1276*sqrt(13) + 1339277\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d**2 - 29*d**2 - 8*d**2 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -401\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-18)*(-30606)\/10. Let q = 71019\/70 + s. What is the common denominator of q and -67\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11018 and 574.\nAnswer: 451738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 12*o + 14. Let m be b(-11). What is the remainder when 58\/4 - m\/2 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Suppose -s*b + 309 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 6*c - 10 = -3*c, -4*n = 5*c - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueluuttuuluoootluu. What is prob of picking 1 l and 1 o?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, 2\/413, 2, -6 in decreasing order.\nAnswer: 2, 2\/413, -1\/23, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 542485589?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -2\/19, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 + 7*u. Let n be w(6). Solve 2*g + 4*r - 8 = n, -4*r = g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1697, 3266, 4835, 6404, 7973?\nAnswer: 9542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 9 = -19*a. Suppose r = -a*r, 4*u = r + 1096. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -5*m. Suppose 1490 = d - 2*d - m*q, -d + q - 1490 = 0. What is d rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 3*f, -3*a + 6*f + 10 = 2*f. What is the units digit of (22 - 0)*(-5)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 963 divided by -112.\nAnswer: -963\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02767319 to five dps.\nAnswer: -0.02767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020829.3 rounded to the nearest one hundred?\nAnswer: 1020800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 761.2 + -761. What is the smallest value in 9, s, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -12 - (47 + -64) - -24.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12272.1 - 12036.074. Let j = -237 + p. Round j to 2 dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k*k)\/k**11)\/(k**5\/(k*k*k**(-10))) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 8686.\nAnswer: 69488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13102 divided by -5.\nAnswer: 13102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.4 (c) 1\/3 (d) -3 (e) 717\/17 (f) -5 (g) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 11*v - 39*v - v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*n - 386 = 0, x - 3*n + 371 = 6*x. Is 77 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*56\/(-24))\/((-3)\/(-6))*-1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -124291579.91 to the nearest 1000.\nAnswer: -124292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -702\nAnswer: 5\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52, 0.03, 12564, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12. Let m = -21 + 125\/6. Which is the biggest value? (a) w (b) 5\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8) - -13*110\/2288)*(-60)\/35\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9.07. Let s = 0.73 + v. Let r = s + -0.3. What is the nearest to -1 in r, -3\/2, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2 - 2 + 2*w + 1 - 12*w + w - w**2. Let s be z(-2). Solve -7*f + s = -10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2789 - 969. Suppose v - w = -513. What is the second derivative of 1307*z**2 - v*z**2 + 16*z**4 - 13*z wrt z?\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 6. Suppose 0 = -3*j + 5*w - 16 - 0, w = -j + 8. Let a be y(j). Let p(h) = h**2 - 10*h + 13. Let v be p(a). Which is smaller: v or -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.457588 rounded to one decimal place?\nAnswer: 178.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 2.13. Let n = k - 7. Let f = 22.01 - 24.01. Sort 0.2, n, f in increasing order.\nAnswer: n, f, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6897)\/(-363) + (-110)\/6. What is the closest to -267 in -0.3, c, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 401)*(-4)\/10. Let s = y - -156. Is s less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 224 + 65*f**2 - 444 - 5*f + 225. What is the remainder when k(1) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, 6\/13, -78.3, -5, -1, 5 in descending order.\nAnswer: 218, 5, 6\/13, -1, -5, -78.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.87 - 3.87. Which is the closest to -1? (a) 6 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -16, -18?\n\"Answer: -2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5098 (base 16) to base 2.\nAnswer: 101000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 10:26 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/8, -2\/11, 18\/5?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -168?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 5*x - 57, 4*a - 4*x - 108 = 0. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaua when four letters picked without replacement from uauaaaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125042 is divided by 196.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - 1) + 190\/12 + 1 and -2 + 101\/32 + 2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18879125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from mvohaca?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 143\/22 + 3\/2. Solve 3*u - 8 = 2*j - 4*j, 4*u - t = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1189 + -697. Suppose -6*v = -10*v + x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + (-84)\/(-9). Let d be (-4)\/(-10) + (-4)\/g. Let q(p) = -p**2 - p + 2. Let j be q(d). Are -1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 28. Suppose 3*y - 53 = -3*h + 1, 0 = -4*y - 3*h + v. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.66477 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1770730 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 564508181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*u - 3 - 3 = 0, 2*o = 3*u + 3. What is the second smallest value in -0.3, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*-8*72\/(-128).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74170, 74167, 74162, 74155, 74146, 74135, 74122?\nAnswer: 74107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12374 = 3260. What is the greatest common divisor of 294 and y?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5551430376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311985 by 1.\nAnswer: -311985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -202*p + 0*p**2 + 204*p - p**3 - p**2 - 3. Let q be n(-3). Find the second derivative of -2*h + h - 7*h - q*h + 9*h**4 wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*g - 435*g**2 - 506*g + 175*g**2 - 7 + 1.\nAnswer: -260*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 - 17*k + 16. Let d be i(8). Suppose 3 + 12 = -5*r. Let h = 5 + r. Solve 2*n = 5*p - h*p + d, 2*p = 2*n - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-400)\/(-75)*6\/8*-2. Let o(s) = 4 + 5*s**2 - 4*s**2 + 1 + 7*s. Is 3 a factor of o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117082814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-66) + ((-96)\/80 - (-2416)\/(-220))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/609 - 4675\/(-357). Solve 2*n + 8 = 0, m = -5*h + 3*n - 5*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.5656, -0.5, -0.2, -2, 2?\nAnswer: -0.5656","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7992 - 9032 + 1041 + 3*p.\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 280230499 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 - 3*x + 3. Let m be o(-3). Let b = 2 + 1. Let s = 8 - b. Solve -m*t + 1 = 2*h, -3*t + 5*h = -3 - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050304889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48999227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0. What is the nearest to 0 in x, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z\/(z**7\/z)*(z\/(z*z**8\/z))\/(z*z\/((z*z\/((z*z\/z**(2\/39)*z)\/z)*z)\/z)) assuming z is positive.\nAnswer: z**(-622\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 6. Let f be g(5). Is (-1)\/(2\/(-104)) - f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 15 + 15 - (1 - -2 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633720?\nAnswer: 2, 5, 11, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61924308 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095537814 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**3 - 85994*q**2 - 308138000*q - 102703112 = 0.\nAnswer: -7166, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -6)\/(-4 - (-5 + 2 + -4)). What is the nearest to 1 in 2\/31, -5, u, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illlilililililil. Give prob of sequence iil.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*o - 7007 = 4345*o - 19626 - 46469 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:56 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -76, -115, -154, -193, -232?\n\"Answer: -39*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 4. Let q(n) = -6*n. Let m(d) = d. Let p(z) = -11*m(z) - 2*q(z). Determine -5*p(j) - u(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921*q**2 - 575*q**2 - 798*q**2 - 887*q**2 + 3043*q**2.\nAnswer: -138*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62816.945034 - -62817. Let x = v + -0.0557. What is x rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let f(h) = -6*h + 1. Let g be f(x). List the prime factors of (-1 + 0\/(-1))*g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72716, -145431, -218146?\nAnswer: -290861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - f - 7*f + 3 = 0, -15 = 5*f for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 19*y + 48. Does 2 divide n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0*x + 3*x - 3*x + 4*x + 4. Let q(r) = r**2 - 3*r - 3. Give 3*h(l) + 4*q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-190)\/(-40) - 3\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3*a**2 - 1 + 5*a - 5*a + 5*a. Let c(b) = 7*b - 6. What is 4*c(x) + 5*i(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + 0*n**4 + 2*n**4)*(-2 + 3 + 1) + (-4*n - n + 6*n)*(n**3 - 3*n**3 + 3*n**3).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m**3 + m**2 + 2*m + 3. Let h(k) = 15*k**3 + k**2 + 3*k + 4. Calculate 2*h(q) - 3*p(q).\nAnswer: -15*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/(i\/i**(-3\/11)*i))**(2\/75))**(-23) assuming i is positive.\nAnswer: i**(2668\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2 + 850998*r - 850999 = 0.\nAnswer: -850999, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -143 + -64486?\nAnswer: -64609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 168 = 4*s, 7*s = d + 5*s - 54. Let v be (-4)\/(((-14)\/24)\/7). Calculate the greatest common factor of d and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -14. Calculate the lowest common multiple of 20\/(0 - (-4)\/2) and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**3 + 2*p + 13*p**3 + 0*p**2 + 0*p**2 + 1. Suppose 5*r + 5 = -5. Let w be l(r). Solve -2*a + g = 7 + 1, 5*a - w*g = -30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400632?\nAnswer: 2, 3, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438459*w + 495731*w - 934193*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*r - 30*r - 2. Let o(t) = 3*t**3 - 2*t - 2. What is o(r)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71477721?\nAnswer: 3, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -518 - -3632\/7. Suppose 2*s = -3*t + 17, 7102*s - 25 = 7098*s - 3*t. What is the closest to n in 0.1, -6\/11, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -11761.9, 2, 1.\nAnswer: -11761.9, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 + 1593108*m**2 - 158470722060*m - 30644219793700 = 0.\nAnswer: -193, 199235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -2 (b) -3\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 78 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188447318 and 947.\nAnswer: 188447318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7531749.2 times -2?\nAnswer: 15063498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 172002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375401 is divided by 93845.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 386 + (1 - 0). Let h = -704 - k. Let i = 2097\/2 + h. What is the common denominator of -83\/16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002976134 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 3. Let d be 14 - (0 - o)\/2. What is the third derivative of -w**3 + 6*w**5 + w**3 + w**2 - d*w**5 wrt w?\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -180, -354, -542, -750, -984?\n\"Answer: -t**3 - t**2 - 164*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -68*f + 49. Give c(2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -592*n**2 - 51612*n + 95764.\nAnswer: -4*(n + 89)*(148*n - 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -568573689883 - -3.\nAnswer: -568573689880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 81 + 21 = 57*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 + (-6 - -8 - 1) + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235196 and 235196?\nAnswer: 235196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*u + 2688 = 166*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(0*o**3 - 3*o**3 + 4*o**3) + 28*o**3 + 24*o**3 + 5*o**3 + 5*o**3 - 5*o**3 - 2*o**3 to j*o**2 + w*o + c + z*o**3 and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*b + 3*d + 130, 142 = 5*b - d. Let w = -42 - -104. Let l = w + b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4714185*q - 3336850 wrt q?\nAnswer: 4714185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - 27) + 8 - -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*m + 11. Suppose -m*q + 6 = -8*q. Let 8*v**2 + 3 + 4*v**3 + 4*v**q + 1 + 2*v + 10*v = 0. What is v?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*r = 53, 185*r - 85 = -5*s + 182*r for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 865? (a) -0.3 (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115614061 (base 8) in base 6?\nAnswer: 2004552213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.017 - 4.217. Let y = l + -0.8. Let c = 6 + y. Sort 2, c, -4 in descending order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-1)\/(-8))\/((-2)\/3164))\/(2905\/(-127820)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 27*z**2 + 28*z + 73. Calculate the remainder when k(-28) is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 = d - 3*k - 306, -22*k + 8 = 2*d - 19*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1441067 or -37?\nAnswer: 1441067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43395 divided by -33?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12784 divided by 2?\nAnswer: -6392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 182783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*z - 619*z + 35 - 37 - 103*z - 344*z.\nAnswer: -1682*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -6 (b) 0.1 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3020 - 529. Suppose 13*k = 6388 + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701536122403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37211 (base 9) to base 15.\nAnswer: -75dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12419*d**2 + 184*d - 184*d - 5801*d**2.\nAnswer: -18220*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0, 23100, 1 in descending order.\nAnswer: 23100, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3\/2, -1\/3, -1089, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4a12 (base 13) to base 10.\nAnswer: 353225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/3)\/h)**34\/(h*h\/(h\/(h\/h**(-9\/5)))*h**(-2)) assuming h is positive.\nAnswer: h**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 49, -1, -1\/6, 23?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y. Let o(i) be the second derivative of -i**4\/12 + 2*i**3\/3 - i**2\/2 + 12739*i. Let a = -18 - -15. Give a*o(r) - 4*d(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 2*m - 3*m + 2*m - 32.\nAnswer: -4*m - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -33 (c) 0 (d) 152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56185\/2 equal to 28094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 87 - 2 = -5*o, -2*o + 38 = p. Let b = o + -2. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r + 7. Let b be n(8). Let q(m) = -m**2 - 2*m. What is the units digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -83, -120, -171?\n\"Answer: -7*i**2 - 2*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2. Let a(i) = i**2. Let c(v) = 14*a(v) - 3*t(v). Let g(z) be the first derivative of 8*z**2 - z**2 - 7 - 7*z**2 + z**3. Determine c(g(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 3*s, 0 = s. Suppose i = 5*k - z - 141 - 12, 0 = 5*k - 5*z - 145. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848\/(-352)*(-4340)\/245?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 2, m: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 1628046614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from cullllnnpnn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -127140 + -578?\nAnswer: -127708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 - 2*g**3 + 2350*g**2 - 1386*g**2 as f*g + c + i*g**3 + x*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141147?\nAnswer: 53, 71, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 56 (b) -5 (c) -2\/7 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3972 is divided by 284?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -11*((-13)\/11 + 18\/99) and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*i - 49059 = 26199, 37614 = 2*y + 2*i. Suppose 0 = 5*g - 280743 - y. Let h = -106911 + g. Round h to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21594 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnnjnn. Give prob of picking 2 j and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 - -4 - (-8 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2046 and 48.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-6))\/(-5) + 1. Let a = 2.7 - 20.7. Let p = -15932\/99 + 1450\/9. What is the closest to a in p, 4, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-11) - 6\/33. Let n be r*(-4)\/96*-1. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.1, -43\/3, 5 in descending order.\nAnswer: 5, -0.1, -1\/2, -43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 49, 74, 109, 154, 209?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9735678108 and -3.8.\nAnswer: 9735678104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(63)\/sqrt(9) + 2 + ((-1 + sqrt(175) - sqrt(175)) + sqrt(112) + (2 + sqrt(112) - sqrt(112)))**2.\nAnswer: 9*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125659 (base 10) to base 16.\nAnswer: 1eadb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1260754216 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2430 and 97\/1589220?\nAnswer: 1589220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1822925 and 1235?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d. Suppose -5*u - 2*o + 30 = 0, -u - 3*o + 2 = -17. Let a(c) = u*c**2 - 2*c**2 - 4*c**2. Determine a(j(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755176 a multiple of 3596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -38. Suppose -i = 2 - 5. Suppose 2*n = i*n - 2. Solve -6*b + b + 11 = -v*c, 0 = n*b + 3*c + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*g**4 + 228*g**3 + 536*g**2 - 2112*g = 0. Calculate g.\nAnswer: -33\/4, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 34. Let o be x(-8). Let w be (-4)\/((6\/1005)\/(o\/(-10))). Suppose 0*k = -3*k + 2*y + w, 3*y + 224 = 5*k. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a6 + 194a?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38484?\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -5*x - 93. Calculate the remainder when x is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -0.185.\nAnswer: -3.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*g = 57*g + 24408. Let r = g + -6319\/7. What is z in -r*z**3 - 6\/7 + 9\/7*z + 6\/7*z**2 = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-25)*-5)\/(4\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106677609 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7561 + 7558. What is the closest to s in -3\/154, 0.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139454.5*4.\nAnswer: 557818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25582, 102347, 230290, 409411, 639710?\nAnswer: 921187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1590143410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1570859 and 0.43699.\nAnswer: 1570859.43699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2045 + 373 = 0. Is 1\/(j\/(-838) - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813534 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*i + 918 = -505*i. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((2*sqrt(240))\/sqrt(6) - sqrt(160)\/(sqrt(4) - sqrt(64) - sqrt(4))))\/(2*(-2*sqrt(968) - sqrt(968)) + 6*(sqrt(968) + sqrt(968)*2 + sqrt(968))))**2.\nAnswer: 5\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/12 + 3*x**2\/4 - 9*x\/4 - 4. Factor j(u).\nAnswer: -(u - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 2*t**3 - 2*t**2 + (5 - 4 + 0)*(-4*t**3 + 8*t - 8*t) - 2*t**2 + 2*t**2 + 10*t**3 - 7*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 10. Determine n(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*1539\/15*(13 + 2871\/(-27)) a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*s + 363, -4*d - 96 = s - 261. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m + 4*m. Let i be (1 + -2)*(-60)\/2. Let k be i\/2 - 0\/(-11). What is the highest common divisor of k and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306713.6 kilometers in meters?\nAnswer: 306713600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12816 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**3 + 3*a - 3*a + a**3 + a**3 - 3*a**3 + a**3 + 3*a**3 - 3*a**3 + (a**3 + 0*a**3 + a**3)*(-3 + 0 + 2) + (a - a + 2*a**2)*(-2*a + 2*a - a).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1 - 1) + 11. Let b = t - -13. Let d = 32 - b. What is the least common multiple of d and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -49 in ascending order.\nAnswer: -49, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 489\/4. Is -4 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (772\/(-5211))\/((2\/(-36))\/((-1)\/(-4))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:34 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78045492 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 705*v + 6205. List the prime factors of d(-6).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18)\/((10\/(-40))\/(36\/2))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0 - 121\/60*o**5 + 0*o**3 + 0*o + 113*o**2 - 23\/12*o**4. Find the second derivative of n(k) wrt k.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.3 + -60. Which is the second biggest value? (a) -3\/2 (b) q (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 1 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433964 by 463.\nAnswer: 433964\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 0 + (-19 - -76) + -33 + -1 + -12.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450300 = v - n, -4*v - 319731 = -2*n + 1481469. Round v to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390755909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 3, k: 2, j: 9, g: 2, a: 1}. What is prob of sequence gjog?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001011 (base 2) in base 12?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(-2*sqrt(32) - sqrt(8)))\/(3*sqrt(12)\/(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e798 (base 16) in base 10?\nAnswer: 518040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1136\/9895 - 110\/5937. Let f = -2.8 + 3. Let n = -0.45 - -0.05. What is the closest to n in m, f, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a0d + -22?\nAnswer: -1a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1841*x**3 - 19*x**2 + x - 3. Is o(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(2*sqrt(36))*6)\/((sqrt(784) + sqrt(16))\/sqrt(2) + sqrt(1152)*4).\nAnswer: 3*sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/5187*-38)\/((-78)\/21)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 = -3*o, 2*o = 2*k - 1 - 11. Let y(b) = k - b + 11*b**2 + 0*b - 3*b**2. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1680583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k*k**1))**(-2))**21 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g - 9. Suppose s - 1 = g. Suppose -t + 0*f + s*f = -69, 134 = 2*t - 4*f. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343 - -342.6. Let m be 3\/1 + (-3 - -4). Which is the nearest to m? (a) -3 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 170*i + 224*i - 146*i + 280*i + 164*i + 4*i**2.\nAnswer: i**2 + 692*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1029\/(-343)*2\/(-4))\/(6\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1000010?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1602 and 1068?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w. Suppose -26*f + 421 - 200 = -325. Let s(i) = 30*i. What is f*r(k) + 4*s(k)?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -143, -268, -395, -524, -655, -788, -923?\n\"Answer: -k**2 - 122*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 5, b: 1, f: 4, d: 7, z: 1}. What is prob of picking 1 f and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6676113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -1051, -1585, -2119, -2653?\nAnswer: -3187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.978742 rounded to three decimal places?\nAnswer: -4.979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242476 and 40614730.\nAnswer: 81229460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (0 - 30 - (337 + -356))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/2539 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 29*m - 33. Calculate z(-14).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -15, -0.3 in descending order.\nAnswer: 10, 1, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4550, -4527, -4516, -4523, -4554, -4615, -4712, -4851?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 13*q + 15)*(q**4 - 6*q**4 + 0*q**4).\nAnswer: -65*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-2\/5)*f*f)))**(-2\/5)*(f\/f**(2\/7))\/(f\/f**(-5\/2)) assuming f is positive.\nAnswer: f**(-1199\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294*h**5*n - 2*h**5 - 2*h*n + 122*h + 2*n - 2 wrt h.\nAnswer: 5880*h**3*n - 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -3006, -10055, -23692, -46089, -79418?\nAnswer: -125851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -8*o - 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)\/(t\/(t**(-5)*t)*t)*((t*t\/((t\/t**3)\/t*t))\/t*t)\/(t*t\/(t*t**7\/t)) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37752*j**2 - 8*j + 11*j + 11*j + 74*j**3 + 37751*j**2.\nAnswer: 74*j**3 - j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 - -8.33. Let q = l - 46.8. What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 12*a**2\/5 + 6*a + 40.\nAnswer: -2*(a - 4)*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2152.59 - 2144. Let r = f + -88.07. Let u = 78 + r. What is u rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.039 + -1.039. What is the closest to 2 in -0.4, i, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 - 16*g**3\/9 - 4*g**2 + 6.\nAnswer: -2*(g - 1)*(g + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 5:51 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -282, -139, 262, 1053, 2366, 4333?\n\"Answer: 22*x**3 - 3*x**2 - 2*x - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11349, -23921, -36481, -49023, -61541, -74029?\n\"Answer: b**3 - 12579*b + 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 210414124 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**2. Suppose -4*z = 3*b - 357, -b + 796 = 5*z + 325. Calculate the lowest common multiple of l(1) and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 9.2. Let n = -8.9 + r. Which is the third biggest value? (a) 3 (b) -3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6160 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1029, 3, -12.\nAnswer: -1029, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 - 135*g\/2 + 18225\/2.\nAnswer: (g - 270)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 + 5*m - 3. Let g be j(3). Suppose -5*r - 4*l = -3, -g*r - 3*l + 2*l = -6. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/3)*z\/(z*z*z\/(z**(-1)*z)))\/(z**(2\/3))**31)\/((z**(-1\/4)\/(z*z*z**(2\/5)*z))\/(z**2\/(z**6\/z))) assuming z is positive.\nAnswer: z**(-1241\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 3\/(-9) - 1496\/(-51) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + t + 27, -2*d + 258 = 2*t + 262 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65)*-3*-2 + sqrt(65)))\/(sqrt(15)\/(sqrt(15)\/sqrt(5))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1726173 and 191797.\nAnswer: 1726173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 + 39. Let j = m + 136. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.3 (b) -0.4 (c) 1\/33 (d) -19\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -62. Let n be r*(-1706)\/(-16) - 3\/(-4). Suppose -2*o = -4*o + n. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 6 + 2*a - a**2)*(-2*a**3 + 0 + 0).\nAnswer: 2*a**5 - 4*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45687864*h**2 + 7*h + 8813503.\nAnswer: -91375728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1506291 to the nearest 1000.\nAnswer: -1506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-70)*(-241704)\/486 - (-4 - 100\/(-28)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -669 - -673. What is the second biggest value in 5, -65, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 12, 20, -10 in decreasing order.\nAnswer: 20, 15, 12, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -37 (b) -5 (c) 42 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(18\/(-4))*18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-30)\/(-24))*(10\/(-600)*-66 + -1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*r**4 - 80*r + 80*r + (-2*r**3 - r**3 + 5*r**3)*(-1 - 2*r + 1) to x*r**3 + b*r**2 + a + t*r**4 + f*r and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -164 + 5503 + -5402\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -201\/13 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 46. Let h = 2.08 + 16.92. Let g = x + h. Sort g, -5, -0.5 in ascending order.\nAnswer: -5, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.7 - 12. Which is the closest to -4? (a) -0.4 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255 - 263 - (-1 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/139669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r + 1. Give d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 3*i - 3 + i. Suppose -3*z + 15 = 4*w, 0*w - 2*z - 1 = -w. Suppose w*g = -2*g. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45889 and 499727?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4901, 9800, 14699, 19598, 24497?\nAnswer: 29396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 40\/12)*30\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1104 and -19\/1242.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15140\/163, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 9.2. Let q = k - -2. Let s be 363\/165 - 9\/(5 - -40). Sort s, 5, q in decreasing order.\nAnswer: 5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-12)*s))\/s*s)\/((s**31\/s)\/s*s) assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*r + 2*f - 8, -r + 5*f = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e3 (base 16) to base 3.\nAnswer: -22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 7*n - 16, 2*k + 15*n - 11*n = 4*k - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -2c0?\nAnswer: -2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*b, -3*v = 13*b - 10*b - 885. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 + 264. Let v be (-230)\/(-7) - 2*(-1)\/14. Suppose 26*p - v*p = -119. Calculate the remainder when x is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 2. Let t(w) = w**2 - 8*w - 14. Suppose 0 = -2*l + 5 + 13. Let m be t(l). What is v(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396133 (base 12) to base 4.\nAnswer: 3212120313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*r**3 + 1010*r**2 - 6068*r + 6744.\nAnswer: (r - 2)**2*(169*r + 1686)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 31 = -4*a, -2*b + 3 + 23 = a. Is 29 a factor of ((-754)\/65)\/((-1)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 825, 3313, 7459, 13263, 20725?\n\"Answer: 829*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 33*w. Let c(v) = -486 + 2*v + 486. Determine p(c(f)).\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*s + 17, -4*d - 8 = -6*s + 10*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-5 - -1))\/((-2)\/(-8)). Let t(d) = -2*d**2 + 7*d + 7. Let r(z) = 2*z**2 - 6*z - 6. What is n*t(k) + 5*r(k)?\nAnswer: 2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-16))\/p)\/((p\/((p\/(p*(p\/(p**(-11)\/p))\/p))\/p)*p*p*p)\/p))\/((p*p**(-3\/11))\/((p**(3\/11)\/p*p)\/p)))**(-32) assuming p is positive.\nAnswer: p**(11776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnknknknnn. Give prob of picking 1 n and 1 k.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347164567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -105*o + 138. Let q(i) = -53*i + 31 + 37 + 12 - 12. Let g(l) = -2*n(l) + 5*q(l). Differentiate g(b) wrt b.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2142142 (base 6) to base 14\nAnswer: -2aca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3144\/328841 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:55 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -53145845\nAnswer: 4\/53145845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 10*i - 4. Let p be h(5). Let g = -17 + p. Calculate the common denominator of 15\/4 and (-122)\/g - 0\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:22 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/153 and -44\/119.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**3 + 24*k**3 - 283*k**2 + 140*k**2 + 143*k**2 + 41*k**3.\nAnswer: 82*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.596891 rounded to three decimal places?\nAnswer: 19.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 1, w: 1, y: 1, l: 3, m: 5, f: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.86277 rounded to 2 decimal places?\nAnswer: 9.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29439 - 0.09439. Let i be 5\/(-20) - (-2)\/8. Which is the third biggest value? (a) i (b) w (c) -1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2959 + 0.7041. Which is the closest to d? (a) -4 (b) -2\/9 (c) 0.091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2357, -9370, -21041, -37370, -58357, -84002, -114305?\nAnswer: -149266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = 5*m. Let p be (0 + -5)*42\/(-105) + 10. Let s be 1\/m - (-3)\/p. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(931) + (sqrt(19) - (2*sqrt(19) + sqrt(19) - sqrt(19))**2*5)*5)*-2 + 5.\nAnswer: 4*sqrt(19) + 3815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45\/11 + -489\/55. Let b be -1 - (-1 - (-9)\/1). Let i = 3 + b. Are i and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 0 = 2*n + g*n - 25. Suppose -36 = -4*m - 4*u, -n*m + 3*u + 1 = -4. Calculate the smallest common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 9) to base 10.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002102 (base 3) in base 7?\nAnswer: -2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.2142677 and 2.\nAnswer: 10.2142677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100808340*g**3*q**2*v**3 + g**2*q**2 - 16*g**2 - 3481945*g*q**2*v**3 wrt g?\nAnswer: 604850040*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 + 1851*n**2\/7 - 57555*n\/7 + 436725\/7.\nAnswer: 3*(n - 15)**2*(n + 647)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*d + 256*d - 120*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -517*w - 80646. Give j(-156).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 79*j**2 + 4*j - 3. Is 16 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/10 + 46*n**4\/3 + n**3\/6 + 160*n**2 + 376*n - 2. What is the second derivative of q(w) wrt w?\nAnswer: 12*w + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/24 + n**3\/6 + 4*n - 48. What is g in z(g) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 - 91 + 5 + 16*s**3.\nAnswer: 27*s**3 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2618340*d**3 + 4724096*d**2 wrt d?\nAnswer: -15710040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(224) + sqrt(14)) + sqrt(14))\/(-1*(sqrt(7) - 4*sqrt(7))).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 18.94. Let t = a + -3.06. What is the smallest value in 3\/5, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5882933688 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 328 + 578 + 4114*p**2 - 4108*p**2 + (p + 1 - 1)*(0 + 0 + p) as w*p**2 + v + b*p and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (-24 - -21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-720)\/60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -22. Let a(o) be the first derivative of -1\/4*o**2 + o**3 - 12\/5*o**s + 0*o - 1\/8*o**4 - 4\/3*o**6 + 2. Factor a(t).\nAnswer: -t*(t + 1)**2*(4*t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 + 6*j**2 + 4*j - 4. Let d be g(-4). Suppose -y - d = -4*x, 3*y + 1052 - 56 = 2*x. Find the common denominator of 2\/(-3) - y\/(-24) and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2. Let z = 31 + -21. Let t(a) = z*a + 6*a - 19*a. Calculate t(q(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2*q + 4 - 1)*(-2 + 2 + 2) as p + k*q and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - y - 43, 14 + 81 = 9*o + 4*y + 179 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 10\/9, 0.2 in decreasing order.\nAnswer: 4, 10\/9, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 120. Suppose 5*r + 5*x + 15 = 0, 0 = 7*r - 2*r + 4*x + 12. Let s be f(r). Suppose 2*h - 8 = 22. Calculate the greatest common factor of h and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**1*a*a))\/a)**(-4) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*(-18)\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let d = -46.68 + 46.18. Let l = -17 + 16. Which is the closest to l? (a) d (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let z(m) = -21*m - 9. Let y = -65 + 66. Let s(l) = y*z(l) - 4*x(l). Find the first derivative of s(v) wrt v.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5107 - 3*h + 1041 + 1844 - 1305.\nAnswer: -3*h + 6687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177980*y**3 + y**2 - 1802005*y wrt y.\nAnswer: 1067880*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64496260.\nAnswer: 2, 5, 19, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/525)\/((-950)\/(-11970))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 90?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuuunuu?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -15655510816633\nAnswer: 15655510816630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 16, 8, -16, -62, -136, -244, -392?\n\"Answer: -x**3 + x**2 + 6*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + q = -0*q - 3218 + 3224, 5*r + 3 = 4*q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t**4*w**2 + 18*t**4 + 2*t*w**2 - 7*t - 29*w**2 wrt t.\nAnswer: 60*t**2*w**2 + 216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d**2 + 1. Suppose -5*f = -2*t + 3, -2*f + 2*t = -f - 1. Determine m(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145956 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 9*g + 953. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6468 or 6457?\nAnswer: 6457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193\/462 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/sqrt(2) + sqrt(125)\/(sqrt(5)*4))\/((-1*sqrt(50)*1)\/(-2*sqrt(40))))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**3 + 4*m**2 - 17*m + 4. Let i(u) be the first derivative of u**4 + u**3\/3 - 4*u**2 + 2*u - 227. Let h(z) = 5*i(z) - 3*n(z). Determine h(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22027)\/3 + -1)\/(18\/(-378)*14)?\nAnswer: 5, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 78, -171, -440, -735, -1062?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4, 0.8, 6\/7, -45?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7*f = 22*f + 56, -2*c - f + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -1407, -2108, -2809, -3510?\nAnswer: -4211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2\/(16\/(-9))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6)**(-15\/2)\/(k**(-7))**(-5\/3) assuming k is positive.\nAnswer: k**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 4*t**2 + 2*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let t(w) = 15*w + 9. Let h(n) = t(n) - 18*y(n). What are the prime factors of h(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140.8 + -141. What is the biggest value in -3\/22, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4460*0.817.\nAnswer: 3643.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -13*w**2\/2 - 69*w + 13094. Let p(d) = -7*d - 35. Give 6*o(j) - 11*p(j).\nAnswer: -j - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/7 (c) -28024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-51))\/((-3480)\/17748).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23941600 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*z + 296, -2*z - 84 = -5*w + 74. Let r = -62 - z. Suppose 2*d = r*d. Solve -i - 3*y + 10 = d, -2*i + 5*y + 1 - 25 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n**3 + 9*n**2 - 20*n = 0. What is n?\nAnswer: -20\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -16\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 33.92161s?\nAnswer: 33921.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20704381 and -8.7?\nAnswer: 20704389.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 3 = -22*q. Suppose 7*h = 4*h + q*t, 0 = -3*t + 6. Put -1, h, -12 in descending order.\nAnswer: h, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -28. Suppose 0 = -2*p + 4 + l. What is the smallest common multiple of 0 - 3 - (-4 + -13) and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/470 and 175\/10 + -8 - -10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 75*f = 31*f. Which is greater: f or -1\/961?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) -0.027 (d) -1 (e) -28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 4*b**2 + 2*b.\nAnswer: 2*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u = -310*u - 1032 - 1062 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36395 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/165*(-2)\/(-4)*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 2.8, 95, 0.2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-6)\/(-1*sqrt(99)) - ((-3 + -2*sqrt(1539) - sqrt(1539) - sqrt(1539))*3*2)**2.\nAnswer: -886788 - 7774*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8149.9 + -12284.8. Let y = o + 3971. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**6\/280 - 3*a**4\/14 + 8*a**3\/7 - 147*a**2\/2 - 290. Let n(g) be the second derivative of w(g). Factor n(c).\nAnswer: 3*(c - 2)**2*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*g - 11, -13*g = 3*l - 8*g - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 = 2*u, -l + 2*l - 5*u - 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129.6 + -244.2. Let s = y + 374. What is the biggest value in 0, -5, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -32*f**2 - 7*f + 94. Let m(k) = 18*k**2 + 4*k - 47. Let d(x) = -7*m(x) - 4*q(x). Let t(c) = 2*c. Give d(t(v)).\nAnswer: 8*v**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -44*k**3 + k - 1. Let y be q(1). Let o be (y\/6)\/((-3)\/(-36)). Let j = -3 - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12) + (-76)\/(-12). Suppose -i*p + 4*p = -1942. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -20*t - 682. Is -31 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 3*t**2 - t**2 + 48*t**3.\nAnswer: 48*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -k, 4 = -2*k - 2*r + 12. Let t be -2*((-45)\/6)\/k. Suppose 0 = t*a - 11*a + 24000. What is a rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2363 and 2329.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -44 + 16 + (-13 - -17)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4928626 (base 10) in base 15?\nAnswer: 675501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538 = 14095*s - 14044*s + 74 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 6, o: 3}. Give prob of picking 1 o, 1 k, and 2 c.\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -136276236 take away 4064?\nAnswer: -136280300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6. Let u(a) = 1. Let l(b) = -d(b) - 6*u(b). Let s(z) = 20*z. Give l(s(w)).\nAnswer: -400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 - (-1 - 0 - -3). Suppose 5*m = 25, -4*m + 2 + h = w. Solve w = -0*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23584072?\nAnswer: 2, 2948009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2893130\/7 or 413304?\nAnswer: 413304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 10. Let s(l) = 2*l - 23. Calculate -7*m(d) - 3*s(d).\nAnswer: 8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110036 (base 7) in base 11?\nAnswer: 305021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-3) - (-2)\/3. Let x(v) = 3*v**3 + 8*v**2 - 6*v. Let w(r) = r**3 + 3*r**2 - 2*r. Calculate z*w(b) + 3*x(b).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -4) + 19 + -19 - 22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {q: 4, j: 2, k: 6, a: 6}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -343, -627, -1015, -1501?\n\"Answer: d**3 - 61*d**2 + 2*d - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**2 - 23 - 3*n**2 - 35 to p*n**2 + x + m*n and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 9, -l - 2*t = -6*t + 8. Suppose 0 = -2*b + 4*r + 2 + 10, -4*r + 72 = l*b. What is the lowest common multiple of 18 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/5 (c) -253526\/19 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 2\/7, 20, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -118, -119, -120, -121, -122, -123?\n\"Answer: -o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*a + 22, 5*a + 3*j + 1 = -j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-427)\/(-28)*(-4)\/2 and (231\/(-6))\/(-1) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/70 + j**4\/42 + 26*j. Suppose g(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 72 = -5*p. Let m be -15*4\/p*-2. Solve m*q - 3*a + 31 = -5*a, -2*q - 7 = -a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.44017 times -0.19?\nAnswer: 5.0236323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 1, r: 3, t: 4, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57160, 114294, 171428?\n\"Answer: 57134*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 440.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*a + 524 = -124*a. Let z = a + 366. Suppose 4*y - 104 = -0*y. What is the greatest common divisor of z and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Suppose 0*z + z = -3*p + 20, 4*z = d*p + 80. Suppose 25 + z = 3*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*p - 131*p - 137*p - 140*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 389 - 389.21. Is x equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87980 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-64)\/(-2))\/(-8))\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6884 and 79\/2.\nAnswer: 6884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1069, -1\/4, -3, -13, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.83 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977961 smaller than 20977964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4801, -4674, -4461, -4162?\n\"Answer: 43*j**2 - 2*j - 4842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 113*d**3 + d**2 - d - 1. Let u(q) = -q**3 + 5*q**2 - q + 4. Let l be u(5). Let p be y(l). Let t = p - -165. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -153*t - 22. Does 71 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/((l\/(l*l\/l**(-25))*l)\/l)*l))**18*l**50\/l*l*l*l**(7\/6) assuming l is positive.\nAnswer: l**(-2711\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22*b**2 + 3731*b - 2195. What is c(169)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 4*i - 6*i)*(2*i - 2*i + i) in the form a + l*i**2 + b*i and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 231030?\nAnswer: -231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 1811360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -192 in 0.5, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*i**2 - i + 15 - 82*i**2 + i to the form k*i**2 + s*i + o and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 12065*u**2 - 5279435*u + 26096175 = 0.\nAnswer: 5, 567, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7896, -7286, -6652, -5982, -5264?\n\"Answer: 2*q**3 + 596*q - 8494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 - -3. Let c = -0.04999996 - t. Round c to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + -3 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + (-1)\/(-1). Suppose 15 = -3*f, w - 2*f - 32 = 7. Suppose d*r + 5*c = w, 2*c - 34 = 2*r - 6*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0356352 and -63.\nAnswer: 2.2450176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 7, q: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3))**20*r**(-6)\/(r*(r*r**6\/r)\/r))\/((r\/r**(-1\/2)*r)\/(r*r*r*r\/r**3)*(r**(2\/3)\/r)**(8\/3)) assuming r is positive.\nAnswer: r**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10294243 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1840 and -59\/2070?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 332, 679, 1028, 1379, 1732, 2087, 2444?\n\"Answer: j**2 + 344*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1704 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 + 14*d**2 - 12*d - 4. Let p(t) = t**3 + t**2 - t + 1. Let r(f) = -6*p(f) + y(f). Calculate r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 204, -17 in descending order.\nAnswer: 204, 5, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a*t**4 + 210719721*a + 3938133*t**4 - 4*t wrt t?\nAnswer: -12*a*t**3 + 15752532*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344116?\nAnswer: 2, 86029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 190833072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 117*p - 117. Is 9 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306918371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101001 (base 2) to base 16\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**0*f*f\/(f*f\/f**7)*f*(f**(-2\/5))**33 assuming f is positive.\nAnswer: f**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -51\/151 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:11 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 + 210\/20)*2. Let s(p) = -15*p**3 + 2*p**2 - 2*p + 1. Determine s(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 12 - (-737 - -761) - 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 1 - 2. Which is the nearest to 2\/5? (a) -3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 115?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.24 + 7.44. Suppose -9*p = -19*p + 10. What is the third biggest value in j, p, 2\/17, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y - 86. Suppose -2*p = 2*v + 26, 937*p - 939*p + 22 = -4*v. Calculate z(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -677748 - -337518371\/498. Calculate the common denominator of 44\/747 and t.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.19 + 0.19. Let h(d) = d. Let t be h(-6). Which is the third smallest value? (a) 1 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 1790, 4031, 7170?\nAnswer: 11207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 13491738.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o + 99*o - 160 = 0. Solve -13*m + 17*m = o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(6)\/sqrt(2) - sqrt(27)*-6.\nAnswer: 5 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) 2\/9 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3034, 5970, 8906, 11842?\n\"Answer: 2936*z + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11132 is divided by 2380.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m + 7*m**2 + m**2 - 18*m wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11018.12482529 + 641.71198051. Let m = x - 11649.8368. Let w = -10 + m. Round w to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 163*c - 4884*c**2 + 7 + 4880*c**2 + 3. Let w be u(30). Calculate the greatest common divisor of w and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, y: 3, z: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 34*f - 268. Let a be 52*(-1)\/(-4) - 5. Let r be x(a). Solve -r = 6*m - 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {g: 6, q: 3, e: 8, x: 1}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + k. Let q be h(1). Suppose q = -2*g + 13. Let x = g + -4. Is x < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -27*a**2 + 33*a - 1389. Let f(c) = 5*c**2 - 6*c + 278. Calculate 11*f(z) + 2*k(z).\nAnswer: z**2 + 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - 64. Let j be p(7). Let b be -3*(-6)\/(-99) - j\/55. Let o = 3 - 3.4. What is the smallest value in -5, b, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/18 - 13*f**5\/60 - f**4\/4 + f**3\/18 + f**2\/3 - 2*f + 4. Determine x so that h(x) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*1 + sqrt(3993))\/(sqrt(44) - sqrt(704)) - (-2*(-1 + sqrt(3) + sqrt(3) + -1) - -1*(sqrt(108) + -1)).\nAnswer: -17*sqrt(3)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -329 <= -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7777 - -7778. Suppose 10 = -d - 7. What is the nearest to f in 0.4, d, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 3, -42 in ascending order.\nAnswer: -42, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 27, 87, 201, 387?\n\"Answer: 3*k**3 + 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 15*v + 1. Let r be k(-7). Suppose 2*p - r = 3*f, -8*f - 117 = -4*p - 3*f. What is the remainder when p is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580519 is divided by 99.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6)*1536\/640\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 7. Does 23 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511 (base 15) to base 16.\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485 - 831 = -47*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -5.7 (c) 2 (d) 1\/6 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, x: 1, u: 4, w: 3}. Give prob of sequence xuu.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + g**3 + 4*g**3 - 4*g**3. Let y = 1 - 3. Let m = -3 - y. Let p(n) = -n**3 + 1. What is m*d(x) - 2*p(x)?\nAnswer: x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-151)\/462*(-2)\/3. Let m = h - -1\/231. Is m smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539) + 2 + sqrt(539) - sqrt(539) - (-2 + -2*sqrt(539)))**2 + -2.\nAnswer: 126*sqrt(11) + 4858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8472 - -0.062. Let m = 4.20912 - b. Let z = 2.3 - m. What is z rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/3 + (-2 - -3 - 2). What is the second derivative of -3642*g**2 - 41*g**z + 3642*g**2 - 14*g wrt g?\nAnswer: -246*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*z + z**2 + 822*z - 944 - 17*z**2 - 342*z wrt z?\nAnswer: -32*z + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 13*r**2 + r. Let j(x) = -266*x - 1317. Let o be j(-5). Determine t(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3 + 781440*s**2 + 50885809884*s - 203555742768 = 0.\nAnswer: -130242, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaq when three letters picked without replacement from qqaqqaqqq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60585*o**3 - 126009*o**2 wrt o?\nAnswer: 363510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*x)*(6 - 8 - 5 + x)*(-3 - 1 + 2).\nAnswer: -6*x**2 + 42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n + 2. What is the smallest value in n, -1\/2, -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 5, x: 1, a: 1}. What is prob of picking 1 a, 2 c, and 1 x?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - t)*(9 - 9 - 5*t) - 2*t**2 - 5 + 5.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*o + 8, 3*o = 5*f - 4*f - 10. Suppose -9 = f*w + 7. Is (3 - -15)*(-6)\/w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**3 + 2*d**3 - 2*d**3)*(-72*d + 42*d + 34*d) + d**3 + 3*d**4 - 4 + 2 + 2*d**3 - 5*d**3 to the form t*d + g*d**4 + y + n*d**3 + z*d**2 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from nnncnnxnnx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8608 + -3a4?\nAnswer: 8214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72238960 divided by 1?\nAnswer: -72238960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 572 - 637 + 1209 - 7*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085453?\nAnswer: 191, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 110*x**2 - 3020*x - 570. What is v(-51)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 112*u**2. Let w(b) = -45*b + 8. Determine w(o(p)).\nAnswer: -5040*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 54 = 4*p - 0*l, -p - 4*l = 0. Let z be (-20)\/p - (-1)\/3. Let j(m) = m**3 - 4*m**2 - 7*m + 7. Let k be j(5). Put k, 0, z in descending order.\nAnswer: z, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 9. Let i(s) = -s + 36. What is -2*i(r) - 9*p(r)?\nAnswer: 11*r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -1\/128, 0.3?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99616454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486090840, 486090839, 486090838, 486090837, 486090836, 486090835?\nAnswer: 486090834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22 + 682*d**4 - 1 - 736*d**4 wrt d?\nAnswer: -216*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*h - 139*h + 74*h + 2*h**3 + h**2 - 4 to b + k*h**2 + r*h + s*h**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 + 9*c**2 - 4. Let o(k) = -11*k**3 - 17*k**2 + 9. Determine 9*g(u) + 4*o(u).\nAnswer: u**3 + 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1773486872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeejjj. What is prob of picking 4 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45784 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -29*f - 467. Let r be n(-16). Put 4, 104, r in decreasing order.\nAnswer: 104, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6570, -6489, -6410, -6333, -6258?\n\"Answer: -h**2 + 84*h - 6653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 20. Let g be c(4). Let j = g - 0. Sort 0, -10, j.\nAnswer: -10, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41053 divided by -213\nAnswer: 41053\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -265 + 265. Let u = 13 - 11. Let j(n) = -n + u*n - n + n. Calculate j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 + 69*k**2 + 1187*k - 31. Give r(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 17, 13, -1, 2 in descending order.\nAnswer: 17, 13, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:32 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 65*m**4\/6 + 2*m**2 - 58*m + 37. Let a(k) = k - 54. Determine w(a(p)).\nAnswer: 260*p - 14040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.764 weeks to microseconds.\nAnswer: 80295667200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-22)*(-49 - 1). Let u be -3 + (-4 - g)\/3. Let y(m) = 7*m + 262. Let f be y(-37). Solve -3*w - 3*n + f = 0, -3*n - 15 = w - u*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28316 + -10?\nAnswer: 28306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j + 588. Let b be x(48). Solve -3*u - 5*w + 3*w = -b, 3*u - 2*w = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1426*y + 675*y + 71345 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.55 - -30.55. Let k = z + -31. Let f be 5\/(-25) + 6\/130. Which is the smallest value? (a) k (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1035 + -879. What is the highest common divisor of 416 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1315, -2625, -3973, -5359, -6783?\n\"Answer: -19*g**2 - 1253*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1 - 1 - 189*m + 94*m + 93*m. Let h(x) = 25*x**2 - 3*x. Let z(s) = -99*s**2 + 11*s. Let t(j) = -22*h(j) - 6*z(j). Calculate t(n(w)).\nAnswer: 176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0471? (a) 4 (b) -0.7436 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6571 and 46?\nAnswer: 302266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15 from 4.982.\nAnswer: 4.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-8)\/12 + 31. Suppose -7*a = -12*a + y. Let q = 23 + -18. Solve q*x - 2 = 8, 2*x - a = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2425555327 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 82 = -2*g - 24, -3*h - 53 = -2*g. Sort 0, -13, g in decreasing order.\nAnswer: g, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -1.2. Let j = -1\/7 + 9\/14. What is the third smallest value in -1, j, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*((-819)\/(-143))\/(-21)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-14)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13500 and 6375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14410459.\nAnswer: 7, 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Suppose 0 = -163*d + 108*d. Solve -4*y + p*a = -0*a - 4, a + 4 = d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 9 + -3 + -3 + -3 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/513065148 or 2\/5?\nAnswer: 1\/513065148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a + 3*a + (0 - 3 + 2)*(-2*a + 4*a + 2*a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6 + 1. What is the units digit of 2 - ((-335)\/t + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1281 + -1277. Suppose 7 = -4*o - 1. Let l be 0 + 8\/6 + o. Which is the second smallest value? (a) 2 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5276*a**5 - 417*a**3*i - a**2*i + 2*a**2 + 1031794*a*i + 3*i + 2 wrt a.\nAnswer: 316560*a**2 - 2502*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:43 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -984 greater than or equal to 14356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 - 3*f**2 + 2*f**2)*(3*f**2 - 2*f**2 + 0*f**2) + (2 + f**2 - 2)*(6*f**2 - 2*f**2 - 3*f**2).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340084872.\nAnswer: 2, 3, 1574467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353223 is divided by 6536.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 49 in descending order.\nAnswer: 49, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 1091, -44, 5.\nAnswer: -44, -23, -3, 5, 1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11180 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274384 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 k(q) = -2*q - 12. Let c be k(-10). Suppose 3*m - c = m. Sort m, 3, -2.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 701 = -561 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 - (-3)\/((-12)\/16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213915*k**2 + 6*k - 212834*k**2 - 7*k.\nAnswer: 1081*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:36 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 2, p: 8, j: 1}. What is prob of sequence js?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 5*z + 11. Let h be p(-7). Let k be -2 - (-3 + 2)*(-3)\/h. Let u be (17 + -16)*(19 - k). Is 20 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5645136 and 772212.\nAnswer: 163708944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (-28 - (-10 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1395*r**5 + r**2 - 4439*r wrt r?\nAnswer: 83700*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2042 + 2039. Let b = 0.5 + -0.2. What is the closest to -8 in b, p, 2\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2649 + -9740?\nAnswer: -12389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44546 (base 8) in base 9?\nAnswer: -27687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163498035 to the power of 1\/2, to the nearest integer?\nAnswer: 12787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, 45, 2, 3, 9 in descending order.\nAnswer: 45, 17, 9, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23600 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 39. Let d be o(6). Let y be (-6)\/(-5)*d\/(-27). Suppose 131*k**y - 55*k - 69*k**2 + 29 - 79 - 67*k**2 = 0. Calculate k.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 192*c - 11801. Let t be g(49). Let d(u) = -u**2 + u + 31. Calculate d(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274568.3 decades in millennia?\nAnswer: 2745.683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 493 - -5?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -385251 divided by 88?\nAnswer: -385251\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 335145768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -513, -2226, -5081, -9078, -14217?\n\"Answer: -571*l**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*s**3*v**4 - 228*s**3 with respect to v.\nAnswer: -296*s**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-266)\/(-21))\/(104\/(-42)) - (768 - 773)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-9 - 5) + 0 + 10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -780 and 22.\nAnswer: -17160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.0618854705 plus -2?\nAnswer: -14.0618854705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 k when four letters picked without replacement from {k: 3, x: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80)*-2 + (sqrt(5) - (sqrt(3645)\/sqrt(9))**2) - (sqrt(20)\/sqrt(2)*4)\/(1*sqrt(2)*-5)).\nAnswer: 124*sqrt(5)\/5 + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/4 + 459*y\/2 + 7938 = 0.\nAnswer: -882, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:44 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q**(-1))\/(q**(-2\/3)\/q)**(-1\/37)*(((q*q**2)\/q)\/(q\/(q\/q**(-2\/5))))**(-46) assuming q is positive.\nAnswer: q**(-59077\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c = -2*g + 115, -10*g + 7*g + 152 = -4*c for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*z**2 + 3 - 24*z**2 - 3*z + z + z as o + l*z**2 + j*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Suppose -8 + 3 = c*m. Put m, -3, 3 in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3 = 0, -4*z - 22*c = -20*c - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8308 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21)*((-28)\/16)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/14 + 32*p**3\/21 - 235*p**2\/7 - 500*p\/7 - 13368. Factor i(x).\nAnswer: 2*(x - 10)*(x + 1)*(x + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -12. What is the remainder when 1 - (-27 - 0\/(-3)) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o**(-9))\/((o\/(o**10*o))\/o*o*o*o\/o**(-4\/7)*o) assuming o is positive.\nAnswer: o**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25576815 to the power of 1\/2, to the nearest integer?\nAnswer: 5057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 47*q**2 + 4*q + 259. Calculate i(-47).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/(29970\/444)*-6\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.5, -0.4, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -198060, -198245, -198428, -198609, -198788?\n\"Answer: t**2 - 188*t - 197873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -159799923 divided by 9?\nAnswer: -17755547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 5*d**2 - 6*d. Let x = -116 - -121. Let n(g) be the third derivative of -g**6\/60 + g**5\/15 - 5*g**4\/24 - 2*g**2. Give x*n(y) - 4*b(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i)*(-i**2 + 3*i**4 + i**2) - i**5 + 3*i**5 + 0*i**5.\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -479*o**4 - 4*o**2 - 1086*o - 4. Let f(w) = 957*w**4 + 9*w**2 + 2172*w + 9. Let u(i) = 4*f(i) + 9*j(i). Find the second derivative of u(k) wrt k.\nAnswer: -5796*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82710 - 179978 = 5951*r + 54690 + 27780 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.115 + -0.1698. Round v to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85595 - 118?\nAnswer: 85479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198651976?\nAnswer: 2, 151, 164447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1992.10005 + 1992. Let u = g - -0.1. Round u to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96.19 - 97. Let q = m + 1.11. Let f = 359 + -360. Which is the nearest to f? (a) q (b) -1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Suppose 5*d - 27 = 5*q + 43, 0 = o*q - 3. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505 + 515. What is the lowest common multiple of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, -43, -8.\nAnswer: -43, -8, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/122, -114, -7\/4, -0.9 in decreasing order.\nAnswer: -1\/122, -0.4, -0.9, -7\/4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 22*q + 82. Determine t(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 403085 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 16 + 132*z**2 + 2*z**3 - 2*z - 25 - 136*z**2 + 43. Give k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5209786 and 29731.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - 1. Let l be s(2). Suppose -l*q + 78 = 30. What is the remainder when 30 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -0.08. Let o(l) = -l**2 - 6*l - 5. Let s be o(-4). What is the nearest to 1 in 0.2, s, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = r - 137, -5*n - 4*r + 180 = -r. Let s = 9 - n. Let k be (6\/(-4))\/(18\/s). Solve 3*w + k = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 1)\/((-8)\/(-60)). Suppose -4*u - 1 + 6 = -3*z, 5*u = -4*z + k. Let c(x) = 3 + x**2 + 4*x - u*x**2 + 3*x**2 + 0. What is c(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5490 + 14294. What are the prime factors of s?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*15.486022.\nAnswer: 46.458066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-21 + 27)) + 3 + 4 + -58.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/36*-10 - -1. Let i = -19 + 19.5. Put 4, k, i in descending order.\nAnswer: 4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1*4\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31155464 (base 7) in base 10?\nAnswer: 2619047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - z**4\/12 - 3*z**3\/2 - z**2 - 158. Let d(t) = t**2 - 12*t - 13. Let b be d(13). Determine g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4562082917.\nAnswer: 7, 93103733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -273, -511, -759, -1023, -1309, -1623?\n\"Answer: -r**3 + r**2 - 234*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 15. Let m be 1\/(-1 - -2) + 1. Solve -m = -w*z - 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -31\/3. Let s = 0 + -0.2. Which is the second biggest value? (a) 0.2 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {l: 5, x: 1, n: 2, b: 8, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsqllslllquqqs. Give prob of picking 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -i - 217, 206*b - 211*b + 1022 = 4*i. Calculate the remainder when 440 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2698 and 304.\nAnswer: 21584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpakpaaa. What is prob of sequence kk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 607*u**2 - 84*u + 1098. Is t(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from cqoooccncqoqm?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.537*5.825.\nAnswer: -3.128025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 55*m - 54*m = -19, 4*m - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 409bd5?\nAnswer: 409bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86832.28 days to milliseconds.\nAnswer: 7502308992000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2028663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -271\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.094 + -802823.98.\nAnswer: -802818.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 12. Let v be w(7). Solve -2*l = 5*h - 4, -l - v*l - 1 = 4*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -69193 (c) -132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(45\/(3780\/(-462)))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 + 30*n - 88. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*g**2*u**3 - 212*g**2*u**2 + 203*u**3 - 41*u wrt g?\nAnswer: -28*g*u**3 - 424*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 130 + 66. Let n = g - 389\/8. What is the closest to 0.2 in 2\/7, n, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-12) - 1)\/((-3)\/(-27)). Suppose 4*z - 2*z = -w*z. Solve z = -v + 5*h - 11, -6*v + v - 4*h = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104214 (base 7) in base 9?\nAnswer: 27070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-165)\/(-20)*1*4. Suppose -3*h + k = 3*c, 0 = -c - 2*c. Let q = h - 2. What is the smallest common multiple of q and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(3 + (-1 - 3)). Solve 4 = t - i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-20)*(-304)\/646.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 - 7*r**4 + 684*r**3 + 115*r**2 + 15 wrt r?\nAnswer: -60*r**2 - 168*r + 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 2, x: 5, d: 3, q: 1, g: 1}. Give prob of sequence dedx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 43 = -326. What is the remainder when 75 is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 41020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105692 + -113875. Let q = x - -354567. Round q to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4974 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*k*y**3 - 5*k*y**2 + 2*k*y + 37*y**2 - 2*y + 627 wrt y.\nAnswer: -282*k*y - 10*k + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:58 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26 + -25 + (-6)\/(-2). Solve -2*j + 6 = h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 13) to base 15\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (286\/44)\/(7\/12418)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -667*l + 1320*l - 662*l + 558 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4639 * 1\nAnswer: -4639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i = 9, -7 = -5*i - 32. Sort -12, -3, g, -4 in decreasing order.\nAnswer: g, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -5*s + 16, 7*d - 2*d + 2 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102256 and 62524.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1926 + -2059. Which is greater: i or -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 169024548 and 169024548 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozooonnnnnn. Give prob of picking 2 n, 1 o, and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 270 = 0. Suppose -7 = -2*l + 5*y, l - 4*y - 4 = -2. Let x = l - -264. What is the highest common divisor of o and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124359 + -124356. Suppose -6\/7*h**q - 8\/7 + 18\/7*h + 20\/7*h**2 = 0. What is h?\nAnswer: -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/16)*q**(-1)*q*(q\/q**(-3))\/q*q**(-10\/7) assuming q is positive.\nAnswer: q**(295\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16054391957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1398, 21, 2, 5, 0.02, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/5769 and 23\/269?\nAnswer: 1551861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 6 - 6)*(11 - 11 + p) - p**4 - 5*p**4 + 4*p**4 + (-2 - 2 + 2)*(-p + p + 2*p**4) + 3*p**3 - 3*p**3 + 2*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.42. Let o be 9 + -6 + (-1 - 1). Which is the smallest value? (a) -6 (b) 0.3 (c) o (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 55*y**2 + 5*y - 55.\nAnswer: -5*(y - 11)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z - 1. Let n be (-2)\/3 - 14\/6. Let s(a) = 2*a**3 - 4*a - 3. Suppose -28*i - 47 = -75*i. Calculate i*s(b) + n*f(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935691.\nAnswer: 3, 311897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 + 31 = 0. What is the second derivative of -4*f**3 - 18*f + 18*f**2 + 6*f**4 - o*f**2 + 6*f**3 wrt f?\nAnswer: 72*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:24 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r - 1. Let c be -4*((-22)\/(-8) - 3). Let a be j(c). Solve 2\/9*b**2 + 0*b + a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39956 is divided by 634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 3095. Let k(z) = -3*z. Calculate c(k(v)).\nAnswer: 6*v + 3095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(1 + sqrt(832))*4 + 3)**2 + -2.\nAnswer: 142848*sqrt(13) + 7676359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 122*u**2 + 2*u - 12. Give q(61).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:52 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.531288 rounded to one dp?\nAnswer: 250.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.01853?\nAnswer: 0.001853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f = 76*f + 61*f - 1302 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 21 = -3*v, -5*v - 9 + 44 = -2*w. Let j(g) = -3*g + 6*g - v*g. Let i(o) be the third derivative of -o**5\/60 - o**2. Determine j(i(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 57570583 = 1957742. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 36*s - 57. Let k(q) = q**2 - 12*q - 19. Let v(i) = 8*k(i) - 3*o(i). Let p be v(13). Suppose 0*g = 3*g - 12. Is g greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5 - 39 + 24 + 26 + (0 + 0 + 3)*(-3 + 4 + 0))*(19 + 2*j - 3*j**3 - 13 + 2*j**3 - j**4) to m*j + c*j**3 + x*j**4 + u*j**2 + q and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 41 = -d, -3*d + 0*a + 63 = -3*a. Calculate the highest common divisor of 52 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 80\/64193 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703558473?\nAnswer: 31183, 54631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 1. Suppose -15 = -k - 4*k. Let g be z(k). Solve g*u + 3*o = 13, 0 = 4*u - 3*o + 5 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b + b**3 - 2*b**2 - b**3 + 35*b + b**4 + 1 to the form f*b + x*b**2 + k*b**3 + d + v*b**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 6. Suppose -3*a = -5*x - 7, -x + 24 = -5*a - 1. Let b be 54\/90 - a\/(-10). Calculate h(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/5*u - 816\/5 + 3\/5*u**2.\nAnswer: 3*(u - 4)*(u + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155423587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from fttttttt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k)*(18*k - 7*k - 23*k) + k**2 + 3*k**2 - 6*k**2 + (0 + 2*k + 0)*(0*k - k + 3*k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 2*t - 2. Suppose 6 = 8*q - 10. Suppose q*w - 6 = -5*f, -5*w - f = -5*f + 18. Calculate v(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**10\/15120 + j**7\/840 + j**4\/12 + 5*j. Let l(f) be the third derivative of t(f). Find the third derivative of l(u) wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -382158 or -382286?\nAnswer: -382158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4*k + 410*h**3*k**2 + 6*h*k**2 - 10*h*k - k wrt h?\nAnswer: 36*h**2*k + 2460*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150195.26 and 0.5.\nAnswer: -75097.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648406593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 379.88707 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vye when three letters picked without replacement from {v: 2, s: 1, e: 2, k: 1, x: 1, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60879 (base 13) in base 9?\nAnswer: 283050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643\/(-1929)*(-11)\/((-88)\/(-216))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 - (-11 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/2)\/(u*(u*u**(-2\/47)*u)\/u) assuming u is positive.\nAnswer: u**(-513\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*d**2*g**3 - 295*d**2*g**2 - d*g**2 + 2*g**3 wrt g?\nAnswer: -198*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = -125*l - 48 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, -5, -97, -225?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(0 - 3) + 0. Suppose -2*n + 4*f - s = -3*n, 4 = 2*n - 2*f. Let j = 4 - n. Which is greater: -6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48371911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2154 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -38. Let t = 3426\/6119 - 9\/211. Find the common denominator of s and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*h - 736*h - 28*h**3.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/50*-35*(-16)\/5712) - 6.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 48 = 4*x, -p + 40 = 4*p + x. What is the greatest common divisor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwlllwwqwwgwwqqwqw. Give prob of picking 2 w and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3, c: 1}. Give prob of sequence wcu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*c + 3 + 88*c - 175*c - 3.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156951.9 - -135012829.\nAnswer: 135169780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -53871 >= -53869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8432215 is divided by 524.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m. Let c(v) = -23*v**2. Determine c(o(q)).\nAnswer: -2300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/6*(-73)\/(4672\/48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/(8\/(-36)). Let p be 3*((-15)\/9 - a). Solve 0 = -p*n - 2 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/6215 and 6\/532795.\nAnswer: 5860745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 take away -50693201?\nAnswer: 50693090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 4, d: 4, z: 1, t: 1, e: 8}. What is prob of sequence tqe?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + b = -16*t - 487, -b + 3 = 0. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/2 (b) 0.2 (c) 0 (d) -0.4 (e) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 2*c - 2. Give t(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/6*4*6\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4252 at least -8505\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + 1 - -4 - (-24 + 10 - 17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/60 - (-7)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002102201102 - 1?\nAnswer: -2002102201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4*w**3 + 20256*s**4 - 445768*s*w**3 + 17*s*w wrt s.\nAnswer: 12*s**2*w**3 + 243072*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/42 and -43\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30581*n - 4484 = -30817*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 387, 0, -2, -1, 8 in descending order.\nAnswer: 387, 8, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d*d\/(d\/(d*d\/(d**9\/d))*d))\/d)))**(3\/26)*d\/((d\/d**(2\/33))\/d)*d**(-10))**(-2\/17) assuming d is positive.\nAnswer: d**(8363\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 15 + 50)*(-3*b + b - 4*b).\nAnswer: -984*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 262 = -y, -5*a = 13*y - 11*y + 520. Let d = 259 + y. Let x(s) = s**3 - 10*s**2 + 12*s - 6. Give x(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -300605, -2404832, -8116295, -19238612, -37575401?\n\"Answer: -300603*v**3 - 6*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2578.029745 to the nearest ten.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37862 and 8976?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r + 18*r - 148*r**2 - 12*r + (r - r + 2*r)*(3*r + 4*r - 6*r) + 2*r**2 - 2*r**2 - 3*r**2 - 1 + 2*r**2 + 1.\nAnswer: -147*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557600 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 89*c + 1107. Give n(100).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 0.0112 times -4\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**2 + 5*c + 8. Let m(r) = -4*r**2 - 3*r - 4. Let l be -1 + 168\/63*6\/(-4). Determine l*m(u) - 3*n(u).\nAnswer: -u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 272 + 31?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**3 + 21*l**2 - 13*l - 5. Let g(a) = 9*a**3 - 20*a**2 + 12*a + 4. Let n = -461 + 455. Let c(f) = n*g(f) - 5*d(f). Factor c(p).\nAnswer: -(p - 1)*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1062 + -1061.9. Which is the nearest to -0.013? (a) -3\/4 (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 8*y + 4, -38 + 36 = -4*i - 3*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o**(2\/7)*o)\/o)\/o*o*o)\/(o\/((o*(o*o**(-5\/2)*o)\/o*o)\/o)*o)*(o\/o**(-4\/5))\/(o*o**1*o*o*o*o))**38 assuming o is positive.\nAnswer: o**(-4541\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 2*c - 3*c + 799*c**3 + 97 - 801*c**3 to the form o*c + v + l*c**3 + k*c**2 and give v.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3226 + -4386.5.\nAnswer: -7612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -100. Suppose -9*p - 152 + 746 = m. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 36\/60 - -1*77\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 93?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from smmsm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 2226432.\nAnswer: 6679296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o + 21*o + 262 + 193*o + 52*o wrt o?\nAnswer: 271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4015 + 282247364.\nAnswer: 282243349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*v - 1 + 2, 4*d - 3*v = 11. Suppose -5*t - 70 = -3*b, -2*t - 5 - d = 0. Calculate the remainder when 27 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*z - 36 = 0, d + 12 = -16*z + 17*z. Let u(c) be the first derivative of -5*c**2 - 9*c + 6. What is the tens digit of u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 49\/5 (b) -5 (c) 3 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5 + (3 - 2 - 3)*(1 - 4 + 0) - 2 + 3 + 1)*(8*k**2 - 8*k**2 - 2*k**2) in the form f*k**2 + t*k + m and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3051 = 46*t, 1150*t = 5*w + 1155*t + 355 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 5*d**5\/12 + 4*d**2. Let v(b) = 2*b. What is v(t(w))?\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) + (-268)\/9. Let u be ((-6)\/8)\/(p\/16). Suppose -11*b + 15*b + 8 = 0. What is the smallest value in -0.3, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let h be o(-3). Suppose 0 = 4*p - 2*v + 8 + 18, -2*p = 3*v + 1. Sort h, 3, p in ascending order.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644057?\nAnswer: 644057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3965 divide 226104125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (153\/34)\/((-6)\/(-4)). Suppose 10 = -c*t - 5, 2*t = 2*x - 792. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2969 from -275.\nAnswer: -3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j, -7*j + 4*j + 5 = 4*g. Let d(n) = -17*n. Let y be d(g). Differentiate -3*i**2 + y - 7 - 7 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5\/138904 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 104462342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor 30*d**2 + 188612*d - 3012834.\nAnswer: 2*(d + 6303)*(15*d - 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 150551 divided by -1\nAnswer: -150551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 7:54 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-180) + (-2720)\/(-2100)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211\/104 - -21\/52. Let g = c - -43\/24. Sort g, -0.5, 4 in decreasing order.\nAnswer: 4, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let v be (-1)\/((-2)\/(-8)) - -6. Let d(y) be the first derivative of 3 - 16*y - y**v + 16*y - y**2. Determine o(d(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22997905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.562 - 5.562. Which is the nearest to u? (a) 0.1 (b) 3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -14. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/60 - 9*d**2. Let u(w) = -7*w**2. Calculate u(h(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 330141572 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*v - 8, -3*p - 3 - 13 = 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 30. Suppose 181 = f - 965. Let y be 1 + f\/8 - 9\/36. Calculate the highest common divisor of y and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -150234, -148835, -147436?\n\"Answer: 1399*j - 151633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 119.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -4 (c) 44.978 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 187094642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 165507.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 9) in base 11?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by 14\nAnswer: -174\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 - 6. Let z(n) = 5*n + 1. Let b be z(-2). Let a = b - -15. Let x = a - 11. Give t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 plus -4669017277681?\nAnswer: -4669017277754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/(g**(2\/17)\/g))**(-41) assuming g is positive.\nAnswer: g**(-6601\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078039 rounded to 7 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72874 is divided by 14538?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 - 9*g**3 - 15*g**2\/2.\nAnswer: -3*g**2*(g + 1)*(g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -24*w + 107. Calculate the remainder when 493 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 18 = -2*s, 0 = s - 1 + 4. Is (-1 - h)\/(2\/89) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33321 + 24250?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3886 and 115942?\nAnswer: 7768114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43011020 (base 5) to base 9.\nAnswer: -608010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)\/sqrt(9) - (sqrt(3)*-1 + 4).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65)\/(-7) - 1 - 10\/35. Let a = 12 - x. Let r be (1 + -1)\/(a\/(-2)). Solve r*g + 2 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1775 + 15965\/9. Which is the smallest value? (a) 0 (b) 0.2 (c) -0.09 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = -2*a, 5*a + 18 = 2*h + 9*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -166, -174, -164?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from {x: 2, c: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 2*i + 72. Suppose 0 = -46*a + 49*a - 24. Suppose 2*v = a, l - 3*v = 3*l - i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzphzzpzxp. Give prob of sequence hpp.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698\/9 - 336589\/4338. Calculate the common denominator of t and -107\/12.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 121, 119, 133, 169, 233?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - 3*h + 4*h)*(0*h**3 + 0*h**3 + 2*h**3) - 64*h - 438*h**4 + 440*h**4 - 270*h to d*h**2 + v*h + x*h**3 + l + o*h**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 206, 242, 278?\n\"Answer: 36*h + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5021\/11056?\nAnswer: -5021\/11056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3.7. Which is the smallest value? (a) t (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/85 and -103\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) - (-2 + sqrt(171)))*-2)**2 + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*g - 20 = -2*g, 4 = u - g. Let q be 21\/(-36) + 2\/8. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(114)\/sqrt(6)*-2 + 1 + -1 + sqrt(1216) + sqrt(1216))**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 123*f. Let v(r) = -21*r**2 + 98*r. Let d(y) = -7*y**2 + 35*y. Let k(l) = 14*d(l) - 5*v(l). Determine w(k(n)).\nAnswer: 861*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -13227168 > -13227168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*sqrt(252) + (-2*sqrt(700))**2*-3.\nAnswer: -8402 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 764.3275ug?\nAnswer: 0.0007643275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a + -1263?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 divided by -98?\nAnswer: 83\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 4, -4, 3\/2, 1\/10, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/10)*k*k)\/k**(-1\/4)*k**(2\/9)\/k**(2\/5))**(1\/22) assuming k is positive.\nAnswer: k**(427\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 29*d - 270 = 0. Suppose 0 = 7*k - 4*k - 45. Suppose -k*m + d = -12*m. Solve -m = -3*s + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a019964 + -1?\nAnswer: -1a019965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 42*v - 41*v. What is the smallest common multiple of v and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140167439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 29*m + 73. Let v = -45 + 51. What is the remainder when 24\/(-36) + 256\/v is divided by g(-31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-3 + (1 - 4) - 1). Let s be ((-3)\/(-6))\/((-4)\/(-32)). Let h(j) = j**2 + 8*j + 4 - s + 2. What is h(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*c + 12 = 0, 2*n + 2*n - 2*c - 4 = 0. Solve -g = i + 4, 6*g - n*i = 2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/7)*(w*w**(-4\/5))\/w*w**4\/(w**(-1)\/w)*(w*w*w**13*w*w**12)**(-22\/9) assuming w is positive.\nAnswer: w**(-20102\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.9 and -15.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.24+-0.08\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 3087*l**2 + 43429*l + 46515.\nAnswer: -(l - 15)*(l + 1)*(l + 3101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 0.0008.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6188 is divided by 55?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 9. Let j be g(12). Suppose j*s - 3*x = -9 + 27, -4*x + 4 = 3*s. Find the third derivative of -d**s + 4*d**4 - d**4 + 2*d**2 + 4*d**2 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-30))\/((-441)\/27)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9385999.2 microseconds to days.\nAnswer: 0.00010863425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w + 40001 = i, 159939 = 4*i - 3*w. List the prime factors of i.\nAnswer: 3, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6126.568 + 6094. What is k rounded to 1 dp?\nAnswer: -32.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 + 1484\/(-270) - (-1)\/5 and 67\/231?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-148)\/(-20) + 3\/5. Let a be ((-2)\/t)\/((-24)\/320). Which is smaller: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 45*o - 1891. Let i be x(42). Let c(r) = 10*r + 3. Let j(v) be the first derivative of v**2\/2 + v - 1. Calculate i*c(p) + 5*j(p).\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.4468um?\nAnswer: 0.00044468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20887958 to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42566200 divided by 290\nAnswer: -146780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*q**3 + 189*c*q**2 - 20*c*q + 18*c wrt q?\nAnswer: -12*c*q + 378*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 152*r + 25. Is 22 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/21)\/((-2)\/(-14)). Suppose o - 2*o = 4*a + 20, -f*a = 5*o + 10. Let n be (-174)\/(-9) - 2\/(-3). Solve 6*w - w - n = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550917672 divided by -24.\nAnswer: -22954903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -40807.4 to the nearest 100.\nAnswer: -40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18988866 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 703275228 to the power of 1\/3, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 178*s**2 - 20*s. Let a be l(10). Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5791 - -5827. Solve 3*m + 21 = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63*(-6)\/162*3*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 - ((-32 - -64) + -59 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35371274 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(45\/54). What is the third smallest value in k, -28, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c20 (base 15) in base 3?\nAnswer: 111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*y - 0*y. Let t be (-10*2\/(-4))\/y. Suppose f - 9 = 4*x, -2*f - t*x + 65 + 5 = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48435, -96629, -144823, -193017, -241211, -289405?\n\"Answer: -48194*k - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o + 8*o - 7*o**2 + 4 - 2 - 4*o - o**4 as t*o**4 + d*o + a + b*o**2 + s*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94\/5 - -1004\/55. Let q = -6\/8485 + 154451\/33940. What is the common denominator of j and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87433.43 to the nearest ten.\nAnswer: -87430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21133 (base 4) to base 5.\nAnswer: -4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/113, 0, 0.2, 56, 2\/5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85459 + 9*w - 18*w + 85450.\nAnswer: -9*w - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*m - 20 = 0, -7*m + 10*m = w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -122.8 (b) -3\/35 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 5. Let j be r(-5). Suppose -56 + 176 = j*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*a = -110024, 5*d - 275033 = -212*a + 216*a. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 16*x**2 + 0*x + 13\/6*x**4 + 7\/2*x**3 + 3. What is the first derivative of g(f) wrt f?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 4737.\nAnswer: 11\/4737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajiiijiijjjiaaijij. What is prob of sequence ijj?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = s. Calculate the remainder when 62 is divided by (-2)\/s*(-504)\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 times 144155.1?\nAnswer: 23497281.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 10879.\nAnswer: 65274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) -3 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206464 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: Suppose 4*f = 8*f + 4. What is the lowest common multiple of 4 and 1 + (-1 - f) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110000110 (base 2) in base 13?\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-23 - ((14 - 12) + -15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -134558887 from -1333.67.\nAnswer: 134557553.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:52 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16801 + 16803. Which is the smallest value? (a) x (b) 3 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 - (1 + -5). Suppose -2*z + v*z = 0. Suppose -2*y + 4 = -8. Solve -h + y*h = z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/(55*35\/(-1155)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10429 and 511021?\nAnswer: 511021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-14) + (-40)\/(-3)*13386\/3395. Solve 0 = 9*s - 1 - u for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2)\/((1 + 0)\/(-64)). Let n = j - -63. Let y(s) = 10*s**3 - s. Calculate y(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*468.9.\nAnswer: 46.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i**(3\/7))\/(i**0*i**(2\/7))*(i**(-4)\/((i*i**(-6\/5)*i)\/i))**(2\/85) assuming i is positive.\nAnswer: i**(-5366\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10274 and 1792346?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -71.2. Let u = z + -112.2. Let t = -123 - u. Which is the biggest value? (a) -0.2 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-29 + 29) - 14 - 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*r + 1471*r**6 + 3*r**2 - 35*r + 2*r**3 - r - 4 - 31*r + 1 wrt r.\nAnswer: 176520*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/8*(-104)\/130*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:01 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184*((-715)\/52)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 258391.6418 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 0 + 4 - 2.\nAnswer: 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -9. Let d(g) = -g**3 - 4*g**2 - 5*g - 3. Calculate the remainder when 32 is divided by d(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 64. Suppose -w = -4*h + 3*h. Solve 4*a + q - 3*q - 14 = 0, 5*a + 5*q = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose b = -5, w = g*w - 2*b - 12. What is the derivative of 1 - 2*x**3 + 2*x**3 + w*x**4 wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let g(w) be the second derivative of -44*w**4\/3 - 12*w. Determine d(g(o)).\nAnswer: -352*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*b*((b**6\/b*b)\/b)\/b*b)\/(b**1*b\/(b\/(b*b**(-4))*b*b)) assuming b is positive.\nAnswer: b**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 + 67200*t**2 + 4704582*t\/5 - 6384532 = 0 for t.\nAnswer: -19, 5, 168014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 418954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 60*u + 55.\nAnswer: 5*(u - 11)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16163.\nAnswer: 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3498 and -8.8?\nAnswer: 30782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5849040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 2. Let o(z) = 2*z - 2. What is 5*o(h) - 6*s(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1061, 3, 1\/4, -4\/3, 1 in decreasing order.\nAnswer: 1061, 3, 1, 1\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.039169 + 50.715269. Let k = p + -50.7. What is k rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21263529.\nAnswer: 3, 7, 1012549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-15)\/(-3))\/1)\/1. Suppose -4*o - 16 = -w, f*o + w + 1 = -19. Let t(i) be the second derivative of i**4\/12 + i**3\/3 - 5*i**2\/2 - i. Calculate t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179457439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66993083 to the nearest integer?\nAnswer: 8185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/6))\/j)\/j**(-1\/5)*(j**(-1\/9)*j)\/(j**(-5)\/j))\/(((j*j**1)\/(j*j\/((j**1*j)\/j)))\/(j**(-2\/3)*j)**(-12\/5)) assuming j is positive.\nAnswer: j**(491\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 237, 208, 179, 150, 121, 92?\n\"Answer: -29*b + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 7 = -2*d - 3*d, 0 = -4*g + 2*d - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -y - 0 - 3, -5*y + 15 = 5*z. What is the nearest to 3 in y, -1, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 999 + 997. Let m be a*9\/(-18)*-12. Let w(j) = -4*j + 4. Let o(d) = -d + 1. Calculate m*w(z) - 22*o(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 182 = 4*r, r = -3*n - 293. Let a(d) = -638*d + 99. Let q(b) = -13*b + 2. Give n*q(s) + 2*a(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2 + 5*d - 45. Let o(x) = -8*x**2 + 6*x - 54. Let p(i) = -5*o(i) + 6*w(i). Let r(c) = 15*c + 5 - 5. Calculate r(p(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5174, 5180, 5198, 5234, 5294?\n\"Answer: c**3 - c + 5174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1683, 1698, 1731, 1788, 1875?\n\"Answer: h**3 + 3*h**2 - h + 1680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i + 11. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30918*y**5 - 39551*y**2?\nAnswer: -1855080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d - 8. Suppose 8*c = 22*c - 392. Let i = -28 + c. Calculate u(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.45*15839152\nAnswer: -7127618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 259\/5 + 6\/30. Suppose 4*i - 5*f = 45, -5*i + 0*i + 2*f = -r. Solve -i + 35 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -45*a + 135. Let u(k) be the third derivative of -a*k**2 + 1\/35*k**7 + 0*k**4 + 0*k + 7\/6*k**3 + 0*k**5 + 0*k**6 + 0. Differentiate u(j) wrt j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 8*k - 24 = -4*k, k = -5*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*2*(0 + -3 + sqrt(833)))**2 + 5.\nAnswer: -2688*sqrt(17) + 53893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - -15)*(-1)\/(-2) and (-3)\/(-15) - (-408)\/(-165).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 2, o: 4, q: 1, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18*(0 + -3). Let p = 7.5 + -4.8. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1430, -1929, -2758, -3917, -5406, -7225?\nAnswer: -9374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -44 - 4. Let w be (-72)\/(12 - 6)*(-2)\/u. Suppose 4*c + 6 = v + 1, 0 = 5*v + w*c - 1. What is the highest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1855496 + 0.472.\nAnswer: -1855495.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 9*v**2 - 1. Let g be -1 + (20 - -4)\/(-3). Let t be z(g). Let o be (0 - -1) + t + 13900. What is o rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 4. Let p be 1*-1*(k + -9). What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*q = -3474. Does 32 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2\/7 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y - 3655 = 55*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556416287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**2)\/m**(-4)*m**(-4)\/m*m*m**4\/m)\/(m**(2\/17)*(m**(-2\/9)*m)\/m*m**(-4)\/m**(2\/9)) assuming m is positive.\nAnswer: m**(1274\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -140.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -372868 >= -375398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.89 - -0.11. Let s = j - 13. What is the nearest to -2\/5 in 3, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 4*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -2*b + 4*x + 28, -20 = -5*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 3*i - 8 = 0, 3*o + 3*i = 3 - 105 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f - 3*u - 10 = 0, 0 = 2*f + 4*u. Let i be (6\/45)\/(f\/(-6)). Sort i, -0.4, -3 in descending order.\nAnswer: i, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6374638 is divided by 25095.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1736 + 1782. Solve -c*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/38317800 and 71\/2043616.\nAnswer: 153271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -1. Let g be (-2 - 12) + 19 + -1. Let y = -8.2 - -8. Which is the smallest value? (a) w (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.82 + -68.72. Let l = s - -56. What is the nearest to l in 1, -4, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3729 by 32.\nAnswer: 3729\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.225492g to tonnes.\nAnswer: 0.000005225492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 23. Let v be q(10). Let n(c) be the second derivative of 2*c**v + 0*c**3 + c - 5*c**2 + 0*c**3. Find the first derivative of n(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.96889385 + 4224\nAnswer: 4227.96889385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 940742017 - 1356145126. Let i = b + 415403090.0000011. Let y = i + 19. Round y to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2330625, 9322495, 20975615, 37289985, 58265605, 83902475?\n\"Answer: 2330625*h**2 - 5*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 10. What is k(12)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7113772 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233615270 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1630 + -794. Calculate the remainder when i is divided by 216.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 555 = -34*i. What is the highest common divisor of 37 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/105*687372\/(-85701) - (-4)\/(-106).\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**2 + 33*a**3 + 24 - 24 + 2*a + 8*a**3 wrt a.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 3*n**2 + n**2)*(158*n**2 - 484*n**2 + 2765*n**3 + 165*n**2 + 161*n**2).\nAnswer: -13825*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f + 0 + 31946 + 5645 - 4945 + f - 3 + 3 - 2*f + (1 - 2 - 1)*(-2*f + 5*f - 2*f) in the form d + u*f and give d.\nAnswer: 32646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -2898.9\nAnswer: -1159.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 + 42*y - 39*y - 1 as k + d*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = -x - 1, -2*g = -x + 7. Suppose 4*a = a + x. Is (-3)\/a + (-27)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 14 - 36 = 0. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329265822 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98275?\nAnswer: 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 - 5 = 48*x. Let s(p) = 2*p**3 + 3*p**3 + 6 - 6*p - 4*p**3 - 3*p**2. What is s(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**5 - 291*n**4\/7 + 360*n**3\/7.\nAnswer: -3*n**3*(n + 15)*(7*n - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9691 divided by 881?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2288*i**4 + 24*i - 831*i**4 + 657*i**4 - 1145*i**2 - 24*i wrt i?\nAnswer: 50736*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 - a**3\/6 + a**2 + 2*a. Let h be f(4). Suppose 3*l = -h + 20. Solve 0*g = -g + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (0 - 3 - -5). Let h be 12*3\/3*n. Suppose -49 = -3*j - 13. Is j > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1943 + 1951. Solve 4*u + 4*j + 4 = 0, 0 = 4*u + n*j - 7*j - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 1\/(-6)*2 - 695\/(-15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d46 + -4?\nAnswer: d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 2. Suppose 4*k - j*k = 38. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.069128 and 3?\nAnswer: -0.207384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:56 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 34.9. Let m = -0.7 - w. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27931236 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(204))\/(sqrt(12) - sqrt(1452)*1))**2 + ((-2*sqrt(136))\/sqrt(8) + 4)*4.\nAnswer: -8*sqrt(17) + 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 18, 6, 14, 2\/9, -191?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + (sqrt(1008)*2 - sqrt(1008)) + sqrt(1008) + -1)**2.\nAnswer: -240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 812.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-6))\/((-66)\/28710). What is the highest common factor of 70 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -3. Let q(s) = s**2 + 10*s - 10. Suppose y = 2, 0*y - 66 = 5*k + 2*y. Let p be q(k). Calculate the highest common factor of b and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, 0*i - 5*i = 4*c. Suppose -155 = -5*w + 185. Suppose v + 3*v + 4*d - 76 = i, -5*v + w = -4*d. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -157?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8704 - -5.15.\nAnswer: 8709.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.985 + -1.652. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 4*d - 2825 + 2764, -65 = s - 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from hxxxxxxxfxhxpfjxhx.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1578.96 + -1606. Let q = 0.04 + v. Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m + 20, 2*w = 2*m + 64. Suppose -a + 4*a = 5*c + 2, 4*c - 8 = 0. Suppose 3*o - 490 = -a*o. What is the highest common factor of w and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 63, 94, 127, 162?\n\"Answer: r**2 + 26*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (3 - 8) - 17\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 571, 583, 595, 607, 619?\n\"Answer: 12*a + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 25 = 5*d - 5*c, 5*c - 15 = 0. Suppose d = 3*g + 8. What is the second smallest value in g, -1, 3\/2, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 40056*r**2 + 280435*r + 240378.\nAnswer: -(r - 40063)*(r + 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*r - 1 - 1 = 0, -h - 2*r = -2. Let a be 1*-3*12\/(-6). Let d = a + -3. Sort -5, h, d in descending order.\nAnswer: d, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1910 and 14020.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + n**2 - n**2 + 2*n**2 + 6 in the form t*n + j + d*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - -3. Let c(j) = -3*j**3 + 2*j**2 - j. Let q be c(0). What is the nearest to q in r, 1, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437875, -1751513, -3940909, -7006063, -10946975?\nAnswer: -15763645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111111010 (base 2) to base 8\nAnswer: -772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*10\/3. Let z(k) = -k**3 - 4*k**2 + 5*k - 4. Let l = 1 + -6. Let a be z(l). Sort s, a, 4.\nAnswer: a, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157, 282, 733, 1202, 1695, 2218?\n\"Answer: l**3 + 432*l - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 227, -6, -2\/5 in decreasing order.\nAnswer: 227, 0, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1566 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -85aa58 (base 13) to base 4\nAnswer: -23331311302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2131\/35 + 450\/7. Let y = 1188 + -7157\/6. Calculate the common denominator of b and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:20 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8974 is divided by 997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/134, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -40 - -118 - -81.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 38 - (-6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -5 + 1 + 3 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*5*(2*sqrt(147) + sqrt(147))*1*5.\nAnswer: 2625*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610860246 to the power of 1\/3, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**3\/6 + 10*d**2. Let g(p) = p - 1. Let o = 34 + -35. Let b(s) = o*g(s) + v(s). What is b(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5911830281?\nAnswer: 7, 47, 191, 94079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1323 - 1312) + (-1 - 1) + -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258953681?\nAnswer: 7, 754967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 7) to base 14.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 241892\/43195*50\/4?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by -419186\nAnswer: 176\/209593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j - 42 = -39*j. Let x(v) be the first derivative of 5*v**2 - 5*v - 5. Let n be x(4). Calculate the greatest common factor of j and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*i + h + 2*h, -4*i + 2*h = 0. Suppose -3870 - 2944 = -i*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 77. What is the greatest common factor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41458 + 290322\/7. Solve 4*q + 0 + v*q**2 + 16\/7*q**3 = 0.\nAnswer: -7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.579499 rounded to two dps?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 6. Suppose -v*w - s - 2*s + 570 = 0, -5*w = 2*s - 953. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32144221 + -142?\nAnswer: 32144024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87\/(-6)*(1 - -5)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 366765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n**3 + 0 + 0*n + 1\/24*n**4 - 12*n**2. Let y(j) = 12*j**2. Determine y(g(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.8680012 to two dps.\nAnswer: -36.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8436 and 334332.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000527369 to 7 dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -81. Sort 4, 3, h, -2.\nAnswer: -2, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/112 + 4*u**7\/105 - u**6\/20 + u**4\/24 + 26*u**2. Factor x(d).\nAnswer: -d*(d - 1)**3*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 95 = -4*k + k, 0 = -4*c - 3*k + 199. Let s = c + -40. Solve 0*x - 3*x + s = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = 2*f - 28500. Let p be 2\/8 + 85437\/(-60). Let m = p + f. What is the common denominator of 5\/12 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 7:34 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -146, -2\/19, -0.2, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116806668 to the power of 1\/2, to the nearest integer?\nAnswer: 10808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 18 = -34*p - 50. Let i(v) = 28*v**3 + v**2 + v + 1. Let u(j) = -28*j**3 - j**2 - j - 1. Let t(c) = -3*i(c) - 4*u(c). Give t(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:27 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000115 rounded to 6 dps?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1848782 + 1848931.7726. Let k = 150.1 - f. What is k rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233681 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -323021 (base 4) in base 5?\nAnswer: -110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g + 2. Let w(q) = -10*q - 5. Let c(u) = -5*m(u) - 2*w(u). Let a(x) = -3*x**2. What is c(a(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -4\/7 (c) 3\/4 (d) 38 (e) -1712\/5 (f) 0.2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2141 - 2859. Round n to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 363220504.\nAnswer: 363220503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g**4\/2 - 8655*g**3\/2 + 78145*g**2\/2 - 49205*g\/2 + 4020 = 0. What is g?\nAnswer: -201, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7078 or -7076?\nAnswer: -7076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 7997882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d - -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15*k**3 - 2*k**2 + 1. Give v(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*v + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 367*k**6 - 2*k**4 - 64821*k**3 + 25108*k**2 + 42*k + 2 wrt k.\nAnswer: 44040*k**3 - 48*k - 388926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {n: 1, c: 1, x: 1, o: 1, d: 8}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = -4*q - 56, -5*q - 2*p - 53 = 0. Let j(o) = -4*o**2 - 14*o - 14. Let t be j(-3). Let x = t - q. Solve x*m + 4 = 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**3\/a)\/a)\/a**4)**(-2\/67)*a**0*a\/(a\/a**(1\/7))*a*((a\/((a**3\/a)\/a)*a)\/a)\/a*a**6\/a assuming a is positive.\nAnswer: a**(2426\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.12 - -52. Let q = n + 0.12. What is the nearest to -0.1 in q, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**3 + 9*g**3 + 7*g**3 - 32*g**3.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i - 49 = 5*y - 101*i, 14 = -y - 4*i for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407210.\nAnswer: 2, 5, 43, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10683, 21416, 32149?\n\"Answer: 10733*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/((3465\/(-1716))\/(-21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 3*y + 5. Let o be p(0). List the prime factors of 430\/o - (-7 - 12\/(-4)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/113 + 83\/3390. Let w(u) be the second derivative of 1\/6*u**3 + 1\/4*u**4 + 3*u + 3\/20*u**5 + 0 + s*u**6 + 0*u**2. Determine o, given that w(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2024.4 - -2022.9467. Let r = -1.43 - u. Round r to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 73?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n - 3. Give m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-198)\/648 + (-4)\/9). Let l(v) = 2*v - 1. Let n(q) = -3*q + 1. What is d*l(p) + 4*n(p)?\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 1 + 10 - 4*y**3 - y as v*y**2 + l + x*y + i*y**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*p + 30, -p + 0*n = -4*n - 29. Suppose 18*k - 20 = p*k. Suppose -k*o + 3 = -h, 2 = 5*o - 4*h + 12. Solve 0*a - a + o = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112102 (base 3) to base 14\nAnswer: -1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 47 = 127. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173a86 (base 16) in base 4?\nAnswer: 11303222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a**2*l + 123629916*a**2 - 34*a*l**2 - 16322*l**2 wrt l?\nAnswer: 11*a**2 - 68*a*l - 32644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4 + 2*z**2 - 4*z**2 + 2*z**2 + 4*z - z**2. Suppose 2*j = 16 - 8. Determine i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.113 - -11.887. What is the nearest to 0 in 4, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 531*l**2 + 3036*l + 1328184. Give k(-530).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131112 - 21100?\nAnswer: 2110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ggilglgl.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/(-8))\/(-10))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + 5 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -221*n + 397. Determine r(8).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 23*r**3 - 5*r + 20. Let f(x) = 58*x**3 - 12*x + 50. Let y = 0 - 5. Let m(q) = y*f(q) + 12*s(q). What is the derivative of m(b) wrt b?\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101650838 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -822 - -785.9. Let v = -35 - l. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 + 16 - -33) + (0 - 13)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1049 + 1051. Let f(m) be the first derivative of 25 + 2\/3*m + 1\/18*m**3 + 5\/12*m**u. Factor f(s).\nAnswer: (s + 1)*(s + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j - 0*j. Suppose 7 - j = h. What is the third derivative of -l**h + 2*l**4 - 3*l**2 + 0*l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33865, 33938, 34013, 34090, 34169, 34250?\nAnswer: 34333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1147332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f + 11\/2*f**2 + 0*f**4 - 73\/30*f**6 + 30 + 0*f**3 + 0*f**5. Differentiate t(m) with respect to m.\nAnswer: -292*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*i - 392*i**2 - 340*i - 2*i**3 + 169*i - 2112*i**2.\nAnswer: -2*i**3 - 2504*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 14780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*f - 190. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/2)\/((-87)\/(-551)) and -87\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 31, 2 in descending order.\nAnswer: 31, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(7)*-3 - sqrt(7)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w - w + 9*w + w + 12*w + 2233*w**2 in the form a*w**2 + t + j*w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1264471 + -866412. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 315, 662, 1131, 1716, 2411, 3210, 4107?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.453041 plus 7?\nAnswer: 13.453041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:56 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -146. Solve -2*h + i - 2*i + 6 = b, 3*i - 6 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 51*p**2 - 88*p + 204. Give j(-49).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.579 - -0.539. Let z = -15.4 - -15. Which is the closest to 2\/5? (a) 0 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 91*r**5 + 39267*r**4\/5 + 750704*r**3\/5 + 44532*r**2 + 3248*r\/5 = 0.\nAnswer: -58, -28, -2\/7, -1\/65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17153\/6314 + -10\/287. Calculate the common denominator of -11\/60 and l.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 352, 370, 380, 364, 304, 182, -20?\n\"Answer: -3*f**3 + 14*f**2 - 3*f + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:45 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2077294 to four decimal places.\nAnswer: 0.2077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10089 = -446*k - 5596 + 6211 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*(-9)\/((-18)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-72680)\/(-24084))\/((-1)\/6). Let m = u - 1\/223. What is the third smallest value in m, 3, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -8 - (2 - 5). Let d be z + (-4 - -11) + 2. Calculate the highest common divisor of 30 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 5*l + 5. Let z be u(2). Suppose 17*a + 9*a = -30*a + 168. Solve -3*q = z*v - 6*q - a, -3*v = 4*q + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 264*l - 6600. Give r(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22) - 114\/(-22). Put -5, g, -6 in increasing order.\nAnswer: -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/(sqrt(8)*3) + sqrt(27) + sqrt(27))\/(sqrt(225)*1))**2.\nAnswer: 49\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = x - 3*b, -9*b - 5*b - 60 = -18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 5*k**2 + 2*k - 6. Let g be j(-5). Let u = -10 - g. Suppose -3*l = -5*l + 18. Calculate the smallest common multiple of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55\/71 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9780060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3583108*r**3 - 3215542 wrt r.\nAnswer: 10749324*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -909262\/33 - -27551. Let k = 1039\/462 - c. Calculate the common denominator of -95\/14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 51, 90, 139, 198?\n\"Answer: 5*v**2 + 14*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13023 (base 4) in base 13?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-3*sqrt(156) - sqrt(156))*5)\/(6*(sqrt(12) - (sqrt(12)*5 + sqrt(12))) - sqrt(12)) + -4 + -3)**2.\nAnswer: -240*sqrt(13)\/31 + 39796\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:37 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 31\/9?\nAnswer: 31\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*a - 5, -5*k + 2*a + 3 = -a. Suppose k = -15*s + 20*s - 35. Suppose s*p - 2*p = -4*h + 296, -p - 2*h = -64. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 80*t + 373. Let h(v) = 16*v - 69. What is -2*c(o) - 11*h(o)?\nAnswer: 2*o**2 - 16*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15785 divided by -77.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 18, j: 1}. What is prob of sequence jww?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 85 = -5*p, 3064877*p = -2*h + 3064880*p - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 185?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 + 2*j + 551. Is 9 a factor of h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 + 74704*k**3 - 2*k**2 - 71993.\nAnswer: 4*k**3 + 224112*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = 4*d - 3*k, 2*d + 2*k = -2. Let q = -2.55 + -0.45. Sort 4, d, q in increasing order.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 3)*(0*t + t - 14*t) - 3*t + t + 3*t)*(-2 + 4 + 7) in the form c*t + f and give c.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6.4. Let f = -1.6 - -0.9. Let r = f - -0.67. Which is the nearest to 0? (a) 0.2 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Suppose -5*x - 15 = 0, -733 = -r*i - 3*x - 0*x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -3*x + o + 199, x - 28 = -2*o for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1675 divided by 2.\nAnswer: 1675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = 5*p + x, -4*p + 2*x + 12 = 0. Let z be 1 + p + (-890794)\/71984. Let a = -1\/8998 + z. What is the common denominator of a and -5\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 10 = -3*l. Let z be l*((-108)\/(-8))\/9. Which is bigger: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**2\/2 + x + 1. What is g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1684 - 838 - v - 846.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -24 (b) -2 (c) -71 (d) 194 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 4*u + 1. Suppose -p + 2*p + h - 9 = 0, 5*p - 4*h = 0. Let r be y(p). Is -1 - ((-66 - r) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255651 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**0)\/(y**0\/y)*(y**(-6))**(-4\/13))**(-7) assuming y is positive.\nAnswer: y**(-441\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**5\/17 + 6*m**4\/17 + 338*m**3\/17 + 84*m**2\/17 = 0.\nAnswer: -6, -1\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.3, -1.15, 146, -3\/4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943765663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/132066 and 37\/9522.\nAnswer: 3037518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*t**3\/5 + 3131754*t**2\/5 + 90811992672*t\/5 - 20181216096.\nAnswer: 3*(t + 57996)**2*(9*t - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 2. Suppose 0 = -p + 2*p - 2. Let z(x) = x - 1. Let v(l) = p*a(l) + 5*z(l). Suppose 39*y = 57*y - 144. Determine v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 14*x**2 - 8*x + 5. Calculate the remainder when g(-5) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhdhd. Give prob of sequence dhd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 2 + f**2 - f**2 - 3 in the form d*f + n*f**2 + s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77778.\nAnswer: 2, 3, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/63*(-115668)\/(-18207)?\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 10*r = 3*h - 25513, 20 = 4*r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 9. Suppose -2*h = n + 160 + 6, 154 = -a*h + 2*n. What is the units digit of h\/(-12) - 4\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Let c(x) = -x - 8*x + w*x + x. Let v(i) = -30*i**2 - 3*i. Let s(m) = 61*m**2 + 5*m. Let t(a) = 3*s(a) + 5*v(a). What is t(c(l))?\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 5 = 8*f - 6*f + 5*u - 13, 5*f - 19 = 6*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7999 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608) + (sqrt(608) - (sqrt(608)*3 + sqrt(608))) + sqrt(608))\/sqrt(32) + 0 + -4.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = r - 8, 5*v = r + 2*r - 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/12 + 5\/(-30). Suppose -5*z + 7 = -13, q*t = -4*z + 16. Solve t = -i - 5*p + p - 5, 5*i - 21 = 3*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(((b\/b**17)\/b*b)\/b)\/b*b*b)\/b**20*b\/b**4*(b**(-1\/10)*b*b)\/b assuming b is positive.\nAnswer: b**(-371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3535*a**3 + 3538*a**3 - 238*a**2 + 238*a**2.\nAnswer: 3*a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 19.2\nAnswer: -556.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 150, 135, 112?\n\"Answer: -4*u**2 + 5*u + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 43*h**2 - 263*h + 15. Calculate p(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-60) - 7\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -384*r + 405*r. Sort 0.03, r, 2\/35 in descending order.\nAnswer: 2\/35, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = y - 18, 5*y - 2*y = -3*n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 390150 to the nearest one thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155*n - 119*n - 123*n)*(n + 0*n + 2*n) + 0*n**2 - 6 + 2*n**2 + 18 to the form x*n**2 + m*n + b and give x.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-165)\/(-6))\/11*(-4)\/(-5). What is the fourth smallest value in 2\/19, -3\/7, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*m + 4*g, -13*m + 38 = -17*m + 5*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002616203 rounded to 5 decimal places?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*z + 2)*(0 + 0 - 2) + 2*z + z - z + (567 - 567 - 4*z)*(2 + 0 - 4).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1143, -2286, -3431, -4578, -5727, -6878?\nAnswer: -8031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 2 + j**4 - 12*j**2 - 3*j**2 + 14*j**2 - 6*j**3 - 7*j to d*j**3 + r + y*j**2 + s*j + m*j**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 227428511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {v: 1, b: 1, i: 1, p: 1, l: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (107 - 107 - 5*c**4)*(-121 - 148 + 217) in the form a + n*c**2 + h*c**3 + y*c + l*c**4 and give l.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 + -0.5. Let h = -6 + 6.78. Let c = 1.08 - h. What is the nearest to 2 in c, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-15))\/((-2)\/108). What is the highest common factor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3461428 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 + o**5\/60 - 5*o**3\/3 + 2*o**2. Let z be k(0). Let n = 10 + z. Are 2\/17 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412 (base 16) to base 14\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1698*32\/(-71808) + 1\/34\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1101111110010000110 (base 2) to base 7.\nAnswer: 3614606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i + 34. Calculate f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/12 - z**3\/6 + 10*z**2. Let v(d) = d + 1. What is 2*p(w) + 5*v(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 2 = -m, m = 10*l - 12*l - m - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 + -72.3. Let s = -69.9840166242 - 0.0159755758. Let f = s - m. What is f rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(21\/2)*((x\/(((x**(2\/5)*x)\/x*x)\/x))\/x)\/x*x*(x**2*x)\/x*x*x*((x\/(x*x\/x**(-11\/5)*x))\/x**(-10))**10 assuming x is positive.\nAnswer: x**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l + r = 13, -3*l + r = -11. Suppose 0 = -l*k + 10 + 32. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b247 (base 13) to base 8.\nAnswer: 1564563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10725 and 1417650.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 32*r + 2*v + 2 = 0, -r - v - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 20. Let w(b) = -40 - 3911*b + 1958*b + 1957*b. What is -9*n(a) + 4*w(a)?\nAnswer: -2*a + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from ygvdhzgzdgd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 19 + 13*d - 15 in the form t + s*d and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 3, -3\/4, -488 in descending order.\nAnswer: 3, 0.04, -3\/4, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -4 (b) -1\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 35*y**2 - 637*y + 10631. Give f(44).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/((v\/(v**(-1\/6)*v))\/v))\/((v**(-2\/3)\/v)\/(v**(-9)\/v))*(v*v*v**(-2)*v**(-6\/11)\/v)**(-26) assuming v is positive.\nAnswer: v**(719\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (79 - (-62 - -63)) + 7 + 16?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1135 + -208?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6)*4)\/((-63)\/(-7))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 13*j**2 + 0 - 4*j**2 + 11*j**2 - 17*j - 3. Let d(o) = 2*o**2 - 3. Let p(f) = -5*d(f) - z(f). Factor p(t).\nAnswer: -(t - 18)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81.4 - 81.12. Round g to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2116155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**5*d**4)**25\/(d**(2\/11)\/((d\/d**(-6))\/d))**(-1\/18) assuming d is positive.\nAnswer: d**(2443\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3871 to 1 decimal place.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -39. Suppose 0 = 3*q - 2*v + 29, 4*v + 1 = -q - 4. Let o be (-18)\/q*(-1)\/(-2). Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2125, 2203, 2289, 2383?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = -m - 5*g, 0 = 2*m + 4*g + 16. Let o = -0.1 - 0. Let t = o + -0.1. Which is the biggest value? (a) t (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 520.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 778 + -778. Is -0.057 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8929*o**3 - 749*o**2 - 12*o + 2. Let t(g) = 4459*g**3 - 375*g**2 - 5*g + 1. Let c(u) = 5*t(u) - 2*y(u). Find the third derivative of c(h) wrt h.\nAnswer: 26622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*z = 120*z. Solve -5 = -3*y - z*s + 5*s, -3*y - 27 = 3*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v - 26. Let q = 370 + -306. Calculate the remainder when q is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 124*j**2 + 490*j + 1214. Let a be r(-120). Sort -1, a, -45, -4.\nAnswer: -45, -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 31*d**7\/21 + d**4\/12 - 28*d**3 - 289*d. What is the second derivative of r(w) wrt w?\nAnswer: 1240*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 3, -1 in ascending order.\nAnswer: -31, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*p - 9. Let o = p + -32. Let s be -1*(0 + 0)\/2. Solve s = 2*t + t - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + ((-4)\/(-4) - 4). Suppose l - 5*w - 8 = -2*w, -t*l = 4*w - 96. Let a(x) = -3*x - l*x + 0*x + 2*x. Let u(z) = z. Determine a(u(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (542 + 33*r - 542)*(r - 5 + 5)*(0*r - 2*r + 0*r).\nAnswer: -66*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-2 - 0) + 5). Suppose -26 - 6 = -16*c. Let m(w) = -49 + 98 + 4*w**c - 51. Determine m(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7) - -6)\/(18\/3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (33 + -26 + (4 + -12 - -32))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*d = -4, -5*u = -2*u + 4*d - 2. Suppose -u*b - 3*c - 4 = 8, 9 = -5*b + 3*c. Put b, -6, 3 in descending order.\nAnswer: 3, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52870138 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18631?\nAnswer: 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, o: 1, n: 2}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7723?\nAnswer: 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s - 12. Let b(a) = 25*a - 21. Let p(j) = 4*b(j) - 7*g(j). Let i(k) = 4*k**2. Calculate i(p(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*a**3 + 5*a**3 - 2*a - 6*a**2 + 38*a**3 + 4*a**2 in the form p*a + j + k*a**2 + y*a**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*25 - 9261\/1863?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7145.\nAnswer: 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 86.8. What is the closest to t in -4, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 23356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 - 138 - (0 - 35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k*k**2*k*k))\/(k*((k**6*k)\/k)\/k))\/(k*k**7\/k*k**(1\/4)))\/((k**(-1\/2))**(-3\/25))**(7\/2) assuming k is positive.\nAnswer: k**(-973\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -276723 to the nearest one thousand.\nAnswer: -277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 10, -1, -24, -65, -130?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.7517789 to two dps.\nAnswer: -106.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2056*p = -2057*p - r + 32020, -3*r + 15 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3 = 3. Let c be ((-10)\/8 - 0) + 1. Which is greater: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2. Let d(m) = 3*m**3 - m. Let w be d(1). Suppose 0 = w*o - 2*l - 22, -3*l = -2*l - 2. Let k(a) = -o + 13 - 2*a + 4*a. Calculate u(k(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -2. Suppose -j*x + 4 = -2*x. Solve -3 = -3*y + 3*d - 2*d, -5*d + 11 = -x*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r**2 - 3267*r - 6544. Determine o(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)\/j*j*j*j**6*j*(j*j*j**(-2\/7)*j)**(-36) assuming j is positive.\nAnswer: j**(-670\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0064577 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 2*y**3 + 2*y + (0*y**2 + 0*y**2 + y**2)*(-5*y + 4*y + 0*y) + 38*y**3 + 285*y**3 - 97*y**3 to l + j*y**2 + d*y + v*y**3 and give v.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81108156, 162216312, 243324468, 324432624, 405540780?\nAnswer: 486648936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**4\/b*b)\/b*b*b*b*b**(-1\/14))\/(b**(-4)\/b*b**(-5)) assuming b is positive.\nAnswer: b**(237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-30)\/(-235))*(-1)\/2. Let f be 283*((-62)\/(-60) + -1). Let n = f - y. Is n != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 41*d**2 + 230*d + 22. Determine r(-5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*n = 553*n + 2450168. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 16317, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102515, -410055, -922625, -1640225, -2562855, -3690515?\nAnswer: -5023205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + 1*sqrt(20))*5 - (5 + (sqrt(80) + -2*sqrt(80) + 4 - sqrt(80))**2 + -4).\nAnswer: -287 + 74*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249437?\nAnswer: 249437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 55*g - 30. Let p be n(2). Suppose 77*l + 39 = p*l. Solve 3*j - 4 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + 17*o**5\/60 - 2*o**4\/3 + o**3\/3 + 2*o**2 + 46. Let r = 9 + 7. Let y be t(r). Solve 3 = -y*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -106*u + 1592. Let h be v(15). Suppose -4*w = 4*k - 0*k - 8, 0 = k + 4*w + 1. Solve -o = h + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*h + 53*h**3 - 31*h**3 - 2*h**2 - 25*h**3 in the form i*h**3 + d*h**2 + y*h + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 304915*k**3 - 4662803975*k**2 - 431007581625*k.\nAnswer: -5*k*(k + 93)*(k + 30445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/18*-555 + (-1)\/3. Suppose -5*t = 3*n - 545 + 181, -r = -4*n + t. Let k = n - 78. Calculate the highest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.00165 rounded to one dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 3*g + 33. Let y be j(-7). Solve 149*z = y*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/492 and -77\/2460.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*w + 4, -4*j + 5*j - 5*w + 10 = 0. Suppose j*g - 4*g = -8. Solve 2*y**3 + y + 5*y - y**2 + 7*y**2 + g = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 1 - y**2 - 1410*y - 1.\nAnswer: 4*y**2 - 1410*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**4*t**2 + 6583*q*t**2 + 38*t**2 + 130*t wrt q.\nAnswer: -12*q**3*t**2 + 6583*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16747\/2 + 4538467\/542. Let j = a + -6955\/3252. What is the common denominator of 1\/5 + 1330\/1350 and j?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + (3\/3 - 3)\/(-2). Suppose -k + 507 = 291. Calculate the highest common divisor of k and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:50 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:23 PM?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 - 221. Suppose -s*h + 2*f = 4*f - 1137, -5*f = 5*h - 1125. What are the prime factors of h?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 13*o - 14*o + 4 + 23. Does 5 divide i(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/2730 and 67\/2012?\nAnswer: 2746380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4540.547 hours to minutes.\nAnswer: 272432.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, z: 2}. Give prob of sequence ww.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*v - 1, -3*z + 4*v + 0*v + 13 = 0. Suppose -7 = z*o - 4, -l + 5 = -3*o. Suppose -6*s = -s - 5*f - 15, -4*s = f - l. Solve -s = -i + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let d(i) be the third derivative of -i**4\/12 - 26*i**2. Let s(m) = d(m) - 2*z(m). Let h(o) = -13*o**2. Give h(s(v)).\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 435.1 - 435. Let q = 5 - 4.7. Let n = q + -0.1. Which is the closest to n? (a) 0 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12301142 (base 5) to base 7\nAnswer: 1003466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17234683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 6 + 1 + 3. Calculate the least common multiple of u(-1) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 11.1. Let c = a - 0.3. Is 8 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 359650 to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130634381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 53*s + 147. Solve 5*o + s*r + 27 = -r, -5*o = -5*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -50*f - 1872. Let h be k(-30). Which is greater: h or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2275 - 2278. Let w(o) = 407*o - 88. Let i(u) = 14*u - 3. What is g*w(a) + 88*i(a)?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - sqrt(20)*-2))*5 + sqrt(20) - 6*(sqrt(20) + sqrt(180)))\/(-2*sqrt(490)*4).\nAnswer: 3*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17104747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -109. Let j = d - 103.000071. Round j to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -101, -206, -363, -578, -857?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 + -274. Suppose 0 = -a*h + h + h. Solve h*v + v = -3*o - 11, -o - 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10901951 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 832 times 3283\nAnswer: 2731456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*h + 20, -4*q + 6*h = 3*h - 12. Suppose 8*p - 2*p = q. Suppose -10*r + r + 81 = p. What is the highest common divisor of 99 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4367, 8710, 13057, 17408, 21763, 26122, 30485?\nAnswer: 34852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-7)*2\/(-4). Solve z = 5*f - 4*i - 6, 5*f = -4*i - i + 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 24. Suppose 6 = -3*j, 1 + 3 = -3*d - b*j. Suppose d*s - 21 = 5. Solve 5 = 4*c + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*i = 8, -3*n + 18 - 45 = 5*i. Let f = n - -9. Let w(r) = -r**2 + 8*r - 4. Give w(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1081.000679 + -1081. Round h to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767 and 13676.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (6\/(-21) - (-17)\/(-21)). Which is the closest to 1\/2? (a) -0.2 (b) -0.24 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7088.52753 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-12)\/8*1). Let b be (-5)\/((k\/(-3))\/((-4)\/(-12))). Let u(d) = -d + b*d - 3*d. Let v(i) = 15*i. Calculate u(v(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547.71 take away -3579?\nAnswer: 2031.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5060)\/(-418) + -3 + 1 + -10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2012200 and 500.\nAnswer: 10061000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/432*3\/((-24)\/560)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325620\/62 - 4\/(-62)?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 6*m + 10. Let v(j) = j**3 + 6*j**2 + 3*j + 23. Let k = 34 + -40. Let p be v(k). Let b be r(p). Solve 0 - b = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 63625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**7\/105 - o**5\/60 - o**2 + 1. Let t(q) be the second derivative of p(q). Find the third derivative of t(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*-6*(2 + sqrt(320) + 2 + -3))**2.\nAnswer: 5184*sqrt(5) + 104005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353188 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183749 and 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 82.966632 and -12.06.\nAnswer: 70.906632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05336 to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 9. Let b = 4 - 1. Find the third derivative of 2*f**2 + 3*f**b + 2*f**3 - 3*f**v wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n + 1283 + 1280 - 2563.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 > -1068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 5*l + (-4 + 8 + 2)*(1 + l - 1).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 1624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*l**2 + 0 + l**4 - 769*l**3 - 765*l**3 + 1536*l**3 - 2 to the form j*l**4 + d*l + t*l**3 + u + h*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068 = -1722713*c + 1722802*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 66 = 60. What is the common denominator of -67\/218 and h\/(1080\/502) + (-3)\/(-27)?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 157444*u**2. Let m(b) = 4*b**2. Give n(m(y)).\nAnswer: 2519104*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -eb?\nAnswer: -e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*a**2 + 7*a**3 + 63*a**2 - 2*a**3 - 118*a**2.\nAnswer: 5*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**4 - 6*i - 3*i**4 - 1 + 6*i + 2*i**2 as p + s*i**2 + b*i**4 + g*i**3 + v*i and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19379, 19634, 19889, 20144, 20399?\nAnswer: 20654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 93*m - 2599. Let c(r) = 3*r**2 + 112*r + 2597. Give 5*c(n) + 6*g(n).\nAnswer: 3*n**2 + 2*n - 2609","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v**2)*(v + 3 - 3) - 4*v**3 + 3*v**3 + 2*v**3 - 10*v + (-3*v + 0*v + 0*v)*(0*v - 2*v**2 + 0*v).\nAnswer: 6*v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*y + 184 = 124, -4*y = -12. Calculate the lowest common multiple of 22 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.0414\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22261 + -918091?\nAnswer: -940352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5813 (base 13) to base 14.\nAnswer: -4705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*6*4\/(-16). Suppose t = 4*t + 5*x - 112, -l*t + 3*x = -96. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - 411*t + 838*t - 1 - 5*t**3 - 416*t as i*t + o*t**3 + r + v*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1385.94 - -1386. Let m = -869\/1148 - -2\/287. Put p, 0.01, m, 2\/5 in descending order.\nAnswer: 2\/5, p, 0.01, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 83962a?\nAnswer: -839626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1049860 take away -0.3?\nAnswer: -1049859.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11\/13 + 75\/104. Let s = -48.9 + 49. Let j = 0 + -0.2. Which is the nearest to 2? (a) s (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*f - 8, -2*f = c - 6*c - 10. What is the derivative of 8 - 2*d**4 + f*d**2 - d**2 + d**2 wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4950 is divided by 146?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 585\/(-84))*6?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -353.528580226 + -3.8\nAnswer: -357.328580226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20594386 and 39\/7?\nAnswer: 144160702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r**2. Let g(j) = -19*j**2 - 2. Calculate v(g(b)).\nAnswer: 4332*b**4 + 912*b**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.17. What is j rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - b + 5*b + 10, 2*q + 21 = -5*b. Suppose 4*l - 5 = 5*l. Let c be ((-44)\/(-77))\/4 + (-12)\/(-14). Sort 3, q, c, l in ascending order.\nAnswer: l, c, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -9) + -5 + -2 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+11.0325\nAnswer: 11.3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093 * -2.16156.\nAnswer: 0.20102508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366016725 to the power of 1\/2, to the nearest integer?\nAnswer: 19132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378843979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**6\/2 + 3*o**5\/5 + 3*o**4\/2 - 2*o**3 - 3*o**2\/2 + 3*o + 38. Factor g(t).\nAnswer: -3*(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -1 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 5. Suppose 0 = -5*s + 4*s + 26. Let d = -23 + s. Suppose 2*o - 23 = -3*b + 4, d*b = 4*o - 9. Calculate i(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 - 0)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 5*t + 1 + 7*t. Let m be p(1). What is the second derivative of 1494*f**m + 2*f + 3*f**5 - 1494*f**4 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1303*n**2 - 218*n + 6 wrt n.\nAnswer: -2606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*a + 193 - 193)*(-2*a**2 - a**3 + 2*a**2) + (-2*a**3 + a**3 + 2*a**3)*(1 - 1 - a).\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586492 not equal to 2586510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21 + 14 + 96*v**3 - 26*v**3 + 14 - 4*v**2 + 2*v**2 wrt v?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - j + 44 = 3*j, -z + 4*j + 36 = 0. Suppose -2*c = -3*f - 78, -3*f + 4810 = 2*c + 4768. Calculate the smallest common multiple of z and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 46. Let u(y) = -v*y**2 + 2*y**2 + 11*y**2. Let j(n) = -4*n. Give u(j(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 - 12*s + 8. Let n(u) = 2*u**2 - 5*u + 3. Let j(t) = 8*n(t) - 3*p(t). Let m(f) = f**2. Determine j(m(z)).\nAnswer: z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2636 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 3 in decreasing order.\nAnswer: 27, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-12)\/135)\/(40\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let j(s) be the second derivative of 3 + 30*s - 1\/12*s**4 + 5\/2*s**2 + 2*s**3. What is -j(u) - 6*p(u)?\nAnswer: u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let o(m) = -5*m - 1 - 1 + 2 - 1. Let x(t) = -o(t) + 6*y(t). Let v be x(0). Is v < -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiwi when four letters picked without replacement from {i: 5, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 205 + 17*w - 205 + (3 - 4 + 3)*(1 - 1 - 3*w) as g*w + h and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcq when three letters picked without replacement from {q: 5, c: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944)\/sqrt(2))\/(sqrt(6) - (sqrt(24)\/(2*sqrt(4)) + sqrt(6))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -564.477955 rounded to the nearest integer?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5109 + -5109. What is the third biggest value in 1\/5, 0.262, 2\/3, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 0.01, -4\/3, 5, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 34*r**2 + 23*r + 333. Let p be (-13)\/4 + 1\/4. Let w(a) = -6*a - 3. What is the lowest common multiple of w(p) and s(33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(48) + -1 + (sqrt(24)\/sqrt(2) - sqrt(12))\/sqrt(4) - (-4 + 2*sqrt(9)\/sqrt(3))))**2.\nAnswer: 108*sqrt(3) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -460695 + 918128. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*15\/(-320))\/(120\/80).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119580.21 minutes to days.\nAnswer: 83.0418125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -179595881 less than -179595883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6351 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 10*g - 6. Let v = -49 - -77. Let s be -90*(v\/8 + -3). Let m = s + 52. Determine b(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2244.5*-5\nAnswer: -11222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 10*d - 8. Let k be a(11). What is the first derivative of -110*c - 3*c**4 + 110*c - k wrt c?\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 + 4*c - 3. Let n = 270 - 272. Let h be n\/(9\/(-36)*4). Determine d(h).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646210209?\nAnswer: 36607, 72287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/617617 and -19\/231.\nAnswer: 1852851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0\/n)**(2\/39)*((n\/(n*n**(1\/3)\/n*n))\/n)\/(n\/(n*n\/(n*n**(2\/7)))*n))**(-19))**(-34) assuming n is positive.\nAnswer: n**(-156978\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7, d: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:35 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 3}. What is prob of sequence ttn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.4. Which is the nearest to 0? (a) -0.3 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 + -416. Let d be (-1)\/3*u\/6. Solve -h + 5*b = -6*h - d, -2*b - 6 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 204*f - 479*f + 232*f - 145. Calculate g(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*h = -249*h - 68 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212430 (base 5) in base 16?\nAnswer: 1c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 2, n: 2, y: 4, t: 2}. What is prob of sequence yn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 0.025\nAnswer: -0.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86538 != 86582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3220 and 61640.\nAnswer: 431480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + m - 1. Let r be h(-1). Solve -2*i - 2 = -r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-3 - 1))\/(-1). Let v be -6797 - ((-2 - x) + 1). What is v rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6 = 2*y, 0 = -4*d - y + 6 - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 3688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4967\/41 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -1.7. Let i = 5 - 7. Which is the nearest to r? (a) i (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/((sqrt(14)*-4)\/sqrt(2)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(-63)*0)\/(-1))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - 0.37. Let b = 116 - 115.4. Let u = b - s. What is the closest to -2 in -1, u, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37533, -150184, -337935, -600786, -938737, -1351788, -1839939?\n\"Answer: -37550*o**2 - o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 109 = -2*y - 111, 0 = 5*h + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*(g\/(g*(g*g\/(g**(-2\/41)*g))\/g))\/g*g\/(g**(-2)*g)*((g*g**(1\/12))\/g*g)\/g assuming g is positive.\nAnswer: g**(-4903\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3)*(-1323)\/490)\/(6\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4830*m - 4994 = -3592*m + 19766 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39552 and 435999?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144640 by 36160.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7095234078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 15*q - 11*q - 7*q.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(-25)\/(j\/(j\/(((j\/j**(-3))\/j)\/j*j))*j*j**(2\/15)*j) assuming j is positive.\nAnswer: j**(1798\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - -1 - -2. Let x = -13 + 12. Put g, 2, x in increasing order.\nAnswer: x, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 18 - 2)*(55*o**2 - 34*o**2 - 55*o**2) + (-2*o - 3 + 3)*(0 + 2*o + 0).\nAnswer: -412*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-13)\/((-78)\/276). Find the second derivative of 28*t**3 + 74*t + 20*t - v*t wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -3*s**5\/80 + s**4\/4 - 3*s**3\/8 + 53*s - 2. Factor q(x).\nAnswer: -3*x*(x - 3)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69316413451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - -6?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 1006963293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 4*l + 5*l**2 - 2 to the form d*l**2 + z + w*l and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzqqcjbjbzczzqjjjj. Give prob of sequence qz.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7347 (base 9) in base 2?\nAnswer: -1010100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 460132, 920265, 1380398, 1840531, 2300664?\n\"Answer: 460133*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let t(m) be the second derivative of 0*m**2 - 1\/12*m**4 + 4*m + 0 + 0*m**3. Determine v(t(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(252) + -3*(sqrt(252) + 0))**2 + sqrt(252)).\nAnswer: -1008 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {f: 2, l: 2, q: 2, g: 3, v: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6092?\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9155.402ng to grams.\nAnswer: 0.000009155402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 601.8\nAnswer: 601.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2)\/(-12) + 136\/48. Let t be (-8)\/(d - 5) + 3. Suppose -3*c + 2*r + 17 = -0*r, t = -3*c - 5*r. Solve 0 = u + c*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/4)\/(525\/315). What is the fourth smallest value in -4, 7, 15, -1\/9, l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 1 + 4*y**3 + y**3 - 3*y + y**3 as g*y**3 + v + x*y + o*y**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 + 0 - 3 + 4 + (0 + 0 - 1)*(-1 + 1 + 1) + 1 - 4 + 2 + 1 + 2 - 5)*(3*a - 4*a + 3*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2008*q = -1945*q + 1947 + 1326 + 2838 for q.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:43 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120018103 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, k: 1, b: 1, v: 3, z: 4}. Give prob of sequence zfb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/(-14))\/((-4)\/14). Let z be 2\/1*24\/c. Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1179723*f**3 + 4093624*f**2 wrt f.\nAnswer: 7078338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.015 + -0.015. Which is smaller: l or 0.09?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 22*i - 31*i. Let l be 2\/2 + 2*46\/4. Suppose 5*y - l = h, -3*h + 5*y - 1 = 21. Solve -4 = -i*m - h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -18 (b) -0.3 (c) 2\/447 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 144*s - 143*s + 288*s)*(s**3 + 0*s**3 + 2*s**3).\nAnswer: 3*s**4 + 207*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 67014605*f**3 - 265825210*f**2 - 8914235*f - 74420 = 0.\nAnswer: -61\/3661, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 3. Let d be c(3). Let o be 9\/d + 72\/((-16)\/(-4)). What is the greatest common divisor of 63 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3 + 5*p**2\/2 + 7*p + 1. Let d = 289 - 295. List the prime factors of r(d).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 70*q**2 - 29*q**2 + 2*q**2 - 177*q + 177*q. Let m(v) = 23*v**2. Give r(m(c)).\nAnswer: 22747*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7100 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4, -5*a - 49 = -u - 0*u. Suppose 436 = 5*g - 3*j, -4*g - 4*j + 0*j + 336 = 0. Let k = g + a. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/60)\/(369\/(-185) + 2). Differentiate -171*y**2 + o*y**2 + y**3 + 81*y**2 - 12 with respect to y.\nAnswer: 3*y**2 - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 1332.\nAnswer: 1331.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 815682 divided by 7?\nAnswer: 116526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 11257.\nAnswer: 2\/11257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 56, 62, 68, 74?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1345264 and 1826?\nAnswer: 14797904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 5*n = 28. Let y(u) = 1 + 0 - 11 + n + 40*u. Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97682*z**3 + 32822920*z**2 + 594056*z + 2688 = 0. Calculate z.\nAnswer: -336, -2\/221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**7\/630 + f**4\/24 - 6*f**2. Let d(g) be the second derivative of p(g). Let m(o) = 8 - 8 - 100*o + 102*o. Give m(d(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 229, 187, 123, 31?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**2 + 2*a - 2. Let y(i) = -i**2 + i. What is 2*b(t) - 4*y(t)?\nAnswer: 20*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 18*k - 266. Let s be p(-17). Solve 38 = -s*q + 62 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -43622112?\nAnswer: -39259900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 28. Suppose b = 2*q + 1, 2*b + 3*q = -19 + 35. Let p be (3\/21 + 8\/42)*0. Solve p = 5*u, -7*u + r = b*d - 2*u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(-3*(1 + sqrt(1216) + -5 - sqrt(1216))*5*1 + -1))**2.\nAnswer: 13927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -83009?\nAnswer: -83003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, n: 4, i: 4}. What is prob of picking 1 k and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -25*q**2 + 158. Let g(f) = -4330*f**2. Calculate h(g(n)).\nAnswer: -468722500*n**4 + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214398 by -4986.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111111000000010010111 (base 2) to base 6\nAnswer: -112130011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -16*j + 88. Suppose -2*b + 20 = -4*l - 10, 2*b = -2*l + 6. What is the remainder when b is divided by 17\/4 - j\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571796 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21541, -18830, -16119?\n\"Answer: 2711*p - 24252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/23 and -37\/38228392.\nAnswer: 38228392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -88. Suppose 5*y = s*m + 98, -m = -4*y + 4*m + 68. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5303377, -5303899, -5304769, -5305987, -5307553?\n\"Answer: -174*v**2 - 5303203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 20 = -4*a. Let v = a - 2. Suppose 3*x + w + v = 26, -5*w = 3*x - 18. Calculate the remainder when 11 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 50. Let c = t - 2. Is c at least as big as -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 33*f. Let d be q(-1). Suppose -1704*x + 1711*x + 126 = 0. Let c be (480\/x)\/(-4)*48\/(-10). Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/13 - -21\/52. Suppose c*h**3 - 5\/4*h**2 - 1 + 2*h = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 2}. What is prob of sequence ahha?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, a: 5, e: 2}. Give prob of sequence ae.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91009 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22281549 to the nearest integer?\nAnswer: 4720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*2\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13321*o**2 + 693*o - 693. Let w(m) = 77*m**2 + 4*m - 4. What is 693*w(j) - 4*y(j)?\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16249.57l?\nAnswer: 16249570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53727313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14310?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 478 + -452. List the prime factors of 351\/h*(-2)\/(-1*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18620*h**2*m + h*m**3 - 156003*m**3 wrt h?\nAnswer: 37240*h*m + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(2\/72). Let a = t - -20. Suppose 5*m + a*w = 28, m + w = -0*w + 8. Solve -o = m*p - 15, 4*p - o - 3 = 2*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 419169548869.\nAnswer: -419169548868.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -363770.217\nAnswer: -363770.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 22*b**2 - 23*b - 568. Let m be o(-23). What is the greatest common divisor of 2170 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1024815, 1024807, 1024799?\n\"Answer: -8*a + 1024823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 515945.5 micrograms in nanograms?\nAnswer: 515945500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 + 350*p**4 + 113*p**3 - 4*p**2 - 5*p - 47?\nAnswer: 60*p**2 + 8400*p + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -947 = -3*l + 2*l + 2*d, 0 = -5*l - 2*d + 4783. Suppose l = 3*q + 259. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + -125310?\nAnswer: -125344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let o be n(4). Suppose -o*a - 20 = -5*a. Suppose 5*t - 26 = 29. What is the remainder when a is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((-792)\/256 + 3). Solve 4*a - 60 = s*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(1962\/(-27) + 2\/(-6)). Suppose -71*f = -c*f + 8. Suppose -5*g + 3*b - 1 = -8, f*b = 4. Solve -4*t - g = -6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7911 and 2735448?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2485356 divided by 12.\nAnswer: -207113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 + 3*z - 5. Suppose -j = 4, 5*b + 31 = -j + 2. Let o be v(b). Let t(q) = -q**3 + 6*q**2 - 2*q - 5. Is 10 a factor of t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 13) + (13 - (0 - (4 + (-4 - 81)))).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, p: 4, b: 3}. Give prob of sequence pbp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 6) + 7 + 0. Suppose 436 = 3*k + t, -z*k = k + 4*t - 576. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 194 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8781.98184 to the nearest 10.\nAnswer: -8780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -10130322120?\nAnswer: -10130322122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 + r - 77. Let t be p(0). Let j = t + 130. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(42) + sqrt(2058)*-3)\/(sqrt(96)*-1))*6.\nAnswer: 30 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 3*j)*(-2*j + 6*j - 2*j)*(1591 - 1591 + 69*j).\nAnswer: -138*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40407 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:11 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96*q + 311*q - 48 - 107*q - 103*q wrt q?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 27*y + 244. Calculate s(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(147) + -3 - (sqrt(33)\/(sqrt(11)*1) + -3)).\nAnswer: -4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 10. Suppose 0*v - t = -v + 10, 0 = 2*v + 4*t + a. Suppose -3*i - v = -2. Sort -2, i, 0.\nAnswer: -2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/197505 and 41\/33.\nAnswer: 197505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + 224087.9\nAnswer: 224087.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4208 - 603. Is h a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/8*(-32)\/(-448)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*s - 9*f - 11, -61*f + 4*f + 48 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 738\/54 - (-120)\/(-10). Solve -1\/3 - 10\/3*l**2 + 5\/3*l + 10\/3*l**3 + 1\/3*l**5 - i*l**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4.72. Let m = -0.08 + b. What is the biggest value in 1, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 4*v + 3*c - 14*c, -284*v + c + 26 = -284*v + 14*c for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3918 times 0.3\nAnswer: 1175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 144?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20034105 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8345 rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**5 + 2827*r**3 + 30*r**2 - 144?\nAnswer: 180*r**2 + 16962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368 is divided by 278.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 - 438 = 7*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 29*l + 56. Determine z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (120\/32)\/(3\/8). Is 14 a factor of ((-38)\/h + 1)*-15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 + (-1 - 2) - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1 (c) -2 (d) -0.1 (e) -123 (f) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 - 5)*(3 - 2 + 1) + 1 - 1 - 2)*(0*i + i + 0*i).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*c - 2*m, 16*c - 138 = -5*m - 6 + 51 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/14*168\/(-28).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-16))\/w)\/w*w)\/((w\/w**17)\/w)*w*w**(-15)*w*w*w**(2\/9) assuming w is positive.\nAnswer: w**(191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 38. Let v be (-417)\/z + (-6)\/(-42). Solve -o - v = 3*o, m + 4*o = -21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.1. Let p = -0.6 - w. Let i = -28 - -27. What is the closest to i in -5, 3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2325 and -60.\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 8*m**3 + 20*m**2 + 16*m.\nAnswer: -m*(m - 2)*(m + 4)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Suppose 7*d - 2*f - 11 = 2*d, -2*d = f - 8. Let h(u) = -65*u - 6. Let p be h(-8). Let w(v) = 514 - p + d*v. Determine z(w(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1440.286826669 - -1\nAnswer: 1441.286826669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k - 80 - 16 + 14*k)*(5 + 6 - 4)*(k + 0*k - 3*k).\nAnswer: -28*k**2 + 1344*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7284, 0.2 in descending order.\nAnswer: 5, 0.2, -7284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*s - 5, 4*k - 294 = -5*s. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43166212 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a*c**2*w**2 + 2*a*c**2*w - 3*a*c*w - 406*a*w**2 - 2374*a wrt w.\nAnswer: -40*a*c**2 - 812*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjxjjjjjjxjj. Give prob of picking 1 x and 1 j.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/135*(-180)\/80.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9\/(w**(-10)*w) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-37)\/(n*n*n*n**10) assuming n is positive.\nAnswer: n**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6443*a**2 + 237*a + 1169581.\nAnswer: 12886*a + 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -4)*(-9)\/12. Let k be (-3 + 32\/q)*3. Let a = k - 11. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/70*d**5 + d + 2\/7*d**2 + 5\/21*d**3 - 3 + 2\/21*d**4. Let n(p) be the first derivative of g(p). Suppose n(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.335 - -3.235. Which is the smallest value? (a) -31 (b) l (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 88, 93, 98, 103, 108?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012011 - 212200?\nAnswer: -2001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388 and 12.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73188615 + -22?\nAnswer: 73188583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/7, 3\/2717, -3\/2, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111638 + -61855. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256436 and -0.3?\nAnswer: 76930.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 31*x + 1. Let t be s(9). Suppose t = 6*k - 122. Suppose 0 = -6*m + k + 161. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*(-7)\/168*14\/(-245)*-370?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/2 + 1430*y**2 + 1065843*y\/2 + 46814841 = 0. Calculate y.\nAnswer: -171, 3202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171723 is divided by 10585?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r - 4 + 1 - 9*r in the form j + c*r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77704 is divided by 35634.\nAnswer: 6436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1021.5 to the nearest ten.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2348 - 2348 + 7629*y + 2347*y + 12720*y)*(-y + 0*y + 0*y) to f*y + p*y**2 + d and give p.\nAnswer: -22696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -21446.823\nAnswer: 4289.3646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57063 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/255 and -71\/4590.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*j = 641, 5*h + 37*j - 36*j = -646. Let y = h - -1256. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*3\/13. Let i = 27.3 - 27. Let o = -0.7 - i. What is the third biggest value in o, 0.1, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.009 > -873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 31*n + 1. Let c(g) = g**2 + 5*g. Let l(v) = v**2 + v + 206. Let w be l(0). Suppose 5*q + 11 = w. Let b(p) = q*c(p) - 6*s(p). Factor b(y).\nAnswer: -3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 49*r**2 - 91*r + 134. What is o(-47)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2907 and 51611201.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1100011010001011110111 (base 2) to base 7\nAnswer: -36435626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w + 1. Let l be p(1). Differentiate 2 - r**3 + l + 3*r**2 - 3*r**2 wrt r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/11 + 434*w**3\/11 - 8342*w**2\/11 + 27646*w\/11 - 19740\/11 = 0?\nAnswer: -235, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q - 81*q - 82*q + 325*q - 81*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y + 16. Let m(a) = -219450 + 438868 - 219451 + 17*a. Give -6*m(q) - 13*x(q).\nAnswer: 2*q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184 or 0.1?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/10 (b) -3 (c) -0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) - (-28 - 5055\/(-180))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686 is divided by 242.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43342 - -2?\nAnswer: 43344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 58 = -13*b - 7*g, -93*g + 89*g = b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -4*i + 10*j, -5*i + 3*j - 13 = 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 - 253. Let f be (-12)\/8*10\/b. What is the third biggest value in -5, f, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 696*q**4 + 190388*q**3 - 3401689*q + 21?\nAnswer: 8352*q**2 + 1142328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*j - 140*j - 171*j + 2*j**2 - 137*j - 5 to the form f*j**2 + t*j + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*u = 428*u + 568*u - 26531 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -315?\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/5 + 2*z**4\/5 + 212*z**3\/5 + 592*z**2\/5 + 384*z\/5 = 0.\nAnswer: -8, -2, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 755982 and 12.\nAnswer: 1511964","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -8467 + 8475. Calculate the remainder when 1843 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -103. Let q = -17 + v. What is the tens digit of (q\/(-9))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 14. Let k be 3\/12 + (-73)\/4. Let d = 23 + k. Solve -4*a = -5*o - 36, 2*o - d = -5*a + u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293897787?\nAnswer: 3, 97965929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.91 - 0.09. Let h(c) = -9*c + 2. Let j(x) = 4*x - 1. Let i(y) = 6*h(y) + 13*j(y). Let n be i(-3). What is the nearest to -0.08 in u, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 - 1070*a**3 + 12300*a**2 - 36360*a = 0. Calculate a.\nAnswer: 0, 6, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 9*x + 165895458*x**2 - 165895459*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 14*z**2 - 12*z + 1. Let o be y(13). Let m be (6\/10)\/(o\/70). Factor -1\/2*k**m + 0*k + 0 + 1\/2*k**2.\nAnswer: -k**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -29*s**5\/20 + s**4\/4 + 74*s**2 - 104*s - 1. Differentiate q(o) with respect to o.\nAnswer: -87*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 2.02. Let g = a - 2.0000064. Round g to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155188129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6512 by 37.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 - (-6 + (-33)\/(-4))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946287361?\nAnswer: 3, 982095787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-10) + 7\/35. Let w be (-6)\/(-2)*12\/9. Suppose 0 = 5*d + p, 6*f + 5*d = w*f + 61. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194800 divided by 19480?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -652 + 1220. Suppose -23*h = 62 - d. Solve -6*n - h = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -22b?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Let w(x) = -3 + v*x - 7*x - x - x**2 - 2*x. Calculate the smallest common multiple of w(-7) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*c**5*n - c**3*n**2 - 2*c**2*n**2 + 19*c**2 + 5 wrt c?\nAnswer: 6000*c**2*n - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from ggcycmccwcjmj.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((((((g\/(g*g**(-9)\/g))\/g)\/g*g)\/g)\/g*g)\/g)*g\/g**(3\/7)*(g**3*g*g)**(-12) assuming g is positive.\nAnswer: g**(-451\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(6\/5)\/q*q))\/(q\/q**(-2\/5))*(q*q**(-1))**(-10))**46)**42 assuming q is positive.\nAnswer: q**(-15456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534082515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose 0 = 2*i - 4*w - 6, -4*w = -g*i + 16 - 3. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-240) - 11906017\/(-212560)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 60*g + 10 = 0. Let j(h) = -h**3 + 7*h**2 - 6*h + 2. Let d be j(6). Suppose 4*m - d = g*m. Sort 0, m, 3 in decreasing order.\nAnswer: 3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66025070 - 4*i - 66025070 - 7*i + 11*i + 4*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -434003402 (base 5) to base 6\nAnswer: -103510232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/13 - 8*1\/(-1). Suppose q = -h + 93. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 657)\/((-2)\/(-16)). What is the tens digit of ((-23)\/(-184))\/(1\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:08 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19 - 4*y**3 - 27*y**3 + 5*y**2 + 6 - 6*y**2 - 63 wrt y?\nAnswer: -93*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -0.03045 (c) -1925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-9) + -4 - (-56100)\/89199?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2205114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 3}. What is prob of picking 2 e and 2 i?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -24*d**3 - 1. Calculate m(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) + 2 + -3 + sqrt(112) + -1 + ((sqrt(112) + -1)*5 + sqrt(112) - -3*(sqrt(112) - -1*sqrt(112))) + -2.\nAnswer: -9 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/236222 and 71\/1713866?\nAnswer: 80551702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -89 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2854 in -0.3, -0.2, 13, -1, 21, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -157*m + 2140. Let i = 29 - -31. Let z = -26 + i. Calculate the remainder when p(13) is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p = -260. Let a be 506999990\/p + (-4)\/(-26). Round a to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1193222 rounded to 2 decimal places?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286 - -295. Suppose 0 = 8*n - f*n + 436. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -11) + (-6 - 2) - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1584, 1\/12, 3, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 88 = -5*x. What is the hundreds digit of (x\/24)\/((-2)\/8106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323372405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (13 - -1) - (-23 - (7 + -35)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64991862?\nAnswer: 2, 3, 13, 92581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -19699) + 20\/170 + (-36)\/306.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 235 + 115. Suppose 5*d = 10*d - o. Solve 3*w = 0, 3*t - 5*w - 1 = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -228.98 * 0.04564.\nAnswer: -10.4506472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*w + 38, -14 = -2*d + 3*w + 29. Let g = d + 4. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**4 - 2*y**3 + 43. Let l(x) = -21*x**4 + 5*x**3 - 86. Let o = -15 - -12. Let a(w) = o*l(w) - 7*r(w). Differentiate a(p) wrt p.\nAnswer: -28*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15\/4, -1\/6, 4.74 in ascending order.\nAnswer: -4, -1\/6, 15\/4, 4.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 12, 545, -0.5, 0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453694*z**2 + z**3 - 12 - 453725*z**2 - 13 to m*z + t*z**2 + y*z**3 + k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from cqqccccccq.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 225, 236, 253, 276, 305?\n\"Answer: 3*h**2 + 2*h + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3 - 0)*(-4 + 39). Let c be ((-672)\/o)\/(3\/(-20)). What is the greatest common divisor of c and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**4 + 8212*g**3 + 7*g**2 + 84432101 wrt g?\nAnswer: -8*g**3 + 24636*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from gmfrmfy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1855, 2207, 3529, 6307, 11027, 18175, 28237?\nAnswer: 41699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 18*v - 990. Is 1761*(0 - v\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 13 = -563. Find the common denominator of (-10)\/(-4)*(-124)\/r + 0 and (15\/(-6))\/((-3)\/26).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 24 + 12 + 12.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0324 times -2\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 1032902 = 8*z - 10*z. List the prime factors of z.\nAnswer: 39727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23796008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/222624 and -7\/12.\nAnswer: 222624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.55 * -0.1\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/840 + l**5\/5 - l**4\/24 + 18*l**2 + l. Let r(k) be the third derivative of f(k). Let o(a) = -a**2. What is o(r(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-49))\/(2 + (-74)\/28)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-225))\/(2\/10). Let h = -4526\/27 - -78473\/189. Let f = 247 - h. Which is the closest to 1? (a) 9 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:54 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 275596*z**2 - 551191*z - 5. Determine b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let u(a) = s*a**2 + 6*a + 3 - 6*a**2 + 5*a**2. Let h be 0 - -3 - (-35)\/(-5). Give u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (10 + -4) - (-2 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 13*m + 3. Let q be g(13). Suppose -5*j = y - 11, q*j = -2*y + 9 - 1. What are the prime factors of 99 + 1\/j*2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119344741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 88 = -7. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-76))\/(4\/(-96)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.5 (c) -1\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 19, 3 in descending order.\nAnswer: 19, 3, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -427 times -24\nAnswer: 10248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*g - 2*g = -42, -3*g = -8237*w + 8242*w + 124 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 164. Let i = -105.206 - x. Round i to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 10*m**3 + 0 + 7 - m + 6*m - 12*m**3 - 8*m**2. Give l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 34. Let w(g) be the first derivative of 0*g - 2\/3*g**3 - 133 + 0*g**2. Calculate n(w(t)).\nAnswer: 8*t**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58230 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -153. Let j = p - -1591\/20. Calculate the common denominator of -103\/10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**2*z**4 - n**2*z + 4818*n*z - 113*z**4 wrt z?\nAnswer: -144*n**2*z**2 - 1356*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbggtttqbqg. Give prob of picking 2 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8411 take away 1?\nAnswer: -23.8411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 15959, 55\/18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 735a?\nAnswer: 7332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:07 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168376369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -1. Let v be j\/(-18) + 1418\/18. Let n = v + -42. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8)*(-2)\/(-3). Let b = 3 + h. Suppose 4*g + 4*o - 28 = 0, -g - 2*g - 2*o = -17. Calculate the highest common divisor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/6 + 3*f**2 + 2*f. Let b(g) be the second derivative of g**3\/3 + 13*g**2\/2 - 3*g. Give 4*b(k) - 9*w(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (0 + 0 + 2)*(0 + 0 + 2))*(-7 - 10*i**3 + 7)*(-3*i**2 + 2*i**2 + 0*i**2).\nAnswer: 50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t + 56. Let r be y(-3). Find the second derivative of 324*q + 2*q**2 - r*q**5 + 0*q**2 - 410*q - 2*q**2 wrt q.\nAnswer: -2200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s - 1. Let i be k(-4). Let f = i + -42. Suppose -f*h - 5*y + 40 = 0, -h = 3*h - y - 57. What is the remainder when 23 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - -1*sqrt(50)*6 - (-2 + 2*sqrt(50)) - -2*(sqrt(6)*3)\/sqrt(3)*-5.\nAnswer: -5*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 9*b - 4912. List the prime factors of b.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*h = 5*o - 230, 5*h = o - 17. Suppose -4*a - 5*x + 134 - o = 0, -4*a + 132 = -5*x. Let u = 223\/8 - a. Is u at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 32 - 3*u + 2 to the form x*u + a and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) + (-9)\/(-405). Which is the third smallest value? (a) 31 (b) -1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79677 divided by -424.\nAnswer: -79677\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*q + 81*q - 150*q to u*q + b and give u.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 12348\nAnswer: -1\/2058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 6*j**2 + 21*j + 25*j**4 - 24*j**3 + 25*j**4 + 3*j**5 - 44*j**4.\nAnswer: 3*(j - 1)**3*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 2*v**2 + 1 + 2*v - v**2. Let g(t) = t - 7. Let l be g(10). Suppose 0 = -c, -c + 4 = -l*h + 1. Give k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3369 divided by -9.\nAnswer: -1123\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -332.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001 - 10?\nAnswer: 10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 1\/2 (c) -5 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 14*s**2 + 1296*s - 15843. Determine p(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 648.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*w - 9338, 4*h - 3*w - 42511 = -5082. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6275*y - 293. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2763, 5638, 8513, 11388, 14263?\n\"Answer: 2875*s - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -0*f. Let z(y) = -y - 2. Let b be z(-6). Solve 10*j - 360*j**2 - 17*j - 75*j**b - 48 - 73*j - 160*j - 9*j**5 - 240*j**f = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2 - 0) + 0. Let z = 7 - 6. Let k = -1.1 + z. Which is the biggest value? (a) -0.2 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077849 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 14240 + -14234. What is the remainder when 644 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 2 (b) 2\/15 (c) 44\/9 (d) 0 (e) -28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 332 * -2322.\nAnswer: -770904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14833, -59303, -133419, -237181, -370589?\n\"Answer: -14823*h**2 - h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, -2, 5939, 0, -386.\nAnswer: -386, -2, 0, 0.16, 5939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 21879.\nAnswer: 21879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokoooosokso. What is prob of sequence ko?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -612 + 611. What is the closest to 8 in -26, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-7695)\/32490?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*q + 142, -19*q = -5*l - 17*q + 710. Suppose 61 = -5*p - 2*a - 259, -2*p + 2*a - l = 0. Are 0 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9094911, 18189798, 27284685?\n\"Answer: 9094887*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, k: 2, v: 2, e: 2}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8 - 89 + 10*z**2 - 9*z**2 - 31*z. Let w be o(34). Solve 7 = 2*m - 5*c, -25 = w*c - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*o + 6*o - 1786. Which is greater: o or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 244 = h, -2*p + 2*h + 392 = 3*p. Suppose 0 = -3*k - 2*k + p. Let x = 7 - -24. Calculate the remainder when x is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3394.\nAnswer: -2\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1412*x**2 + 32*x + 1259. Let r(w) = -470*w**2 + 12*w + 420. Let y(n) = 3*j(n) - 8*r(n). What is the first derivative of y(s) wrt s?\nAnswer: -952*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 27*i**4\/4 + 2*i**3\/3 - i + 5. Let s be a(1). Factor -s*v**3 + 573*v + 8*v**2 - 573*v.\nAnswer: -4*v**2*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136826213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 36 = 2*c, 0*c - 4*c + 3*w = -17. Let x = c - 5. Suppose 4*y - 60 = -s, 3*s - 1 - x = -y. Calculate the smallest common multiple of 20 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110100110000101101 (base 2) in base 15?\nAnswer: -2025d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-4)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**2 + 57*i - 1. Let f(y) = 10*y**2 - 66*y + 1. What is -6*f(k) - 7*u(k)?\nAnswer: 10*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 2*t + 8. Suppose -27 = 8*i + i. Let f be y(i). Solve 7*v + f = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + 2 - l**3)*(4 - 4 + 1) - 122*l**3 - 2*l**2 - 461*l**3 - 2476*l**3.\nAnswer: -3060*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 73. Suppose f*o + 369 = 4709. Is o a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.39, -1\/9, 1\/6, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 36*h**2 - 2*h - 1. Let m be 3 + 11 + (-10)\/(-5). Calculate the remainder when 2*4*142\/m is divided by f(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let q be (-14)\/(-4) + m\/2. Suppose 2*u - 2 = -q*n + 2*n, 3*n - 13 = -u. What is n rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30c3ba (base 14) to base 16.\nAnswer: 192230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((-30)\/12*2 - -4). Let x = -4 + 1. Let q be 2*(-2 - -3 - 0). Put x, q, p in descending order.\nAnswer: q, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -609 + 619. Suppose 3*s + 3*r = -147, -r + 0*r = 2*s + 101. Let c = 87 + s. What is the remainder when c is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4557, 17915, 40097, 71109, 110957, 159647, 217185?\nAnswer: 283577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1812*l**2 + 894*l**2 + l**3 + 15*l - 4*l**4 + 3*l**4 + 908*l**2 to q*l**3 + i*l**4 + v*l + a + h*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 2*r - 3*r)*(-5 + 4 + 3)*(2 + 1 - 2) + (2 - 2 + 1)*(-2 + 2 - 3*r) in the form n*r + x and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 4, -5 in ascending order.\nAnswer: -16, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {x: 1, r: 1, n: 1, u: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 6. Suppose 29 = -4*s + 5. Let w be f(s). Let r(t) = -t**2 - 13*t - 20. Let n be r(w). Which is greater: n or -11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**6\/30 + 89*v**5\/20 + 11*v**4\/6 - v**3\/3 - 141*v. Find the third derivative of g(s) wrt s.\nAnswer: -24*s + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*b - 61 = 0, -2*b - 2 = 8. Let o = 120 - a. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -25b032?\nAnswer: 25b025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*w**2 - 6 - 3*w - 2*w**3 - 2 - 34*w**2 to the form x*w**3 + k*w + d*w**2 + i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.4. Let z = 195 - 194. Which is the nearest to h? (a) 3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2995)\/10782*-2*54\/48.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m - 17 + 30*m - 16*m)*(m - 4*m + 5*m).\nAnswer: 14*m**2 - 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 37, 57, 79?\n\"Answer: l**2 + 15*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:24 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3, 1\/6, -1\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2\/19, -1\/3, -20?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 118 (c) 4 (d) -636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*f**4 - 12 - 2171*f**4 + 65 with respect to f.\nAnswer: -8244*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645 divided by 15.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -301.1628 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -2*c - 225*l + 226*l, -5*c + 110*l - 109*l = -225 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*d = 19510 - 31310 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405989 + 405989 + 14*s**2 - 94*s**2 + 8*s**2 - 44*s**2.\nAnswer: -116*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 10. Suppose -5*b + r = 0, 2*k + 0*b - 6 = 2*b. Suppose k*q = -4*c + 125, 2*c + 0*c + 53 = 3*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4 + 855*i**3 - 9104*i**2 - 3*i - 43496658.\nAnswer: -24*i**2 + 5130*i - 18208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9589953 times -0.5?\nAnswer: 4794976.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0385 * -1\nAnswer: 0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50\/23 in -0.1, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 32)*(2*y - 5*y + 4*y)*(-4*y - 3*y + 2*y).\nAnswer: 160*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**2 - 1. Let s be q(-2). Suppose 3*i - 4*n = -2, -2*i - s = 2*n - 26. Solve 0 = -v + i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 39, 168, 433, 882, 1563?\n\"Answer: 8*g**3 - 4*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 10*w + 84. Calculate the remainder when s(-8) is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 2. Put 3, 7, q in ascending order.\nAnswer: q, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 27 = -4*v. Suppose -2*i = -3*a - 215, -3*a - 81 - 234 = -3*i. Suppose -4*p - i = -v*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -976820 divided by -3\nAnswer: 976820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2)\/b)\/b)\/b*b)\/(b**(-2\/5)*b))\/((b*(b*b**(-7)\/b)\/b)\/(b\/(((b*(b*b**10)\/b)\/b)\/b)*b)) assuming b is positive.\nAnswer: b**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 50*y + 175 + 28, 2*y + 2838 - 3068 = -5*f + y for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004521 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/85161792 and 16\/7.\nAnswer: 596132544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*w. Suppose 3*t - 9 = -w*t. Suppose 3*v - 2 = -b + 23, 22 = t*v - 2*b. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -288*p**3 - 5151 + 5151 + (2*p**2 + 0*p**2 + 0*p**2)*(-6*p + 4*p + 4*p).\nAnswer: -284*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7362363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhhhhphhhhphh. Give prob of picking 2 h.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15285316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 93*u**2 + 17*u + 34. Is 87 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 964, -17, 14, -6 in decreasing order.\nAnswer: 964, 14, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4439*d + 1 + 4 + 4442*d)*(-1 - 4 + 4)*(0*d**3 + 5*d**3 - 3*d**3).\nAnswer: -6*d**4 - 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2254260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15086, -30178, -45272, -60368, -75466?\n\"Answer: -z**2 - 15089*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5))**(-48)*(j**(-1))**(5\/4))**(-32) assuming j is positive.\nAnswer: j**(4808\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**4 - 14*v**2 + 12*v + 36734.\nAnswer: 8*v**3 - 28*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -23*o + 1. Suppose 0 = -r + 5*r + 24. Calculate the remainder when d(r) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 not equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21a211 - 231?\nAnswer: 219a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 4 + -2)\/2. Suppose 4*r - 4*h - 28 + 12 = 0, 0 = -2*r - 2*h + 12. Let w = -3 + r. Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 253*y - 11072. Determine b(44).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 at least 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 11) to base 8.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 503 - -3?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*u - 130, u - 80 = -2*j - u. Let b = 137\/4 - j. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.849.\nAnswer: -3.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4171*o + 26. Let j be (-4)\/(-14) - 160\/(-28). Let y be i(j). Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 + 95*w**2 - 20*w**2.\nAnswer: 89*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -130. Calculate the remainder when 62 is divided by (-18)\/30 + (-8)\/(-5) + g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 22*a + 18. Let g be x(12). Suppose 131*b - 84 = g*b. Let j = 12 - 8. What is the closest to b in j, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**3 - 15*s**3 + 0*s**3 + (2*s**2 + 0*s**2 - 4*s**2)*(-7*s - 5 + 5) - 1 + s**3 + 1.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 9*s - 12. Let m be p(-2). Find the common denominator of -8\/3 and ((-844)\/(-144) + -3)\/((-3)\/m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 12, -0.197, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 86044176*r**4\/7 - 18552*r**3\/7 + r**2\/7 = 0. Calculate r.\nAnswer: 0, 1\/9276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78115411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2704105025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (3 - 9) - 7) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3*(-10 + -2). Let f(q) = -9 + 130 + 5 + d*q - 5*q + q**2. Let s be f(0). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/56*18\/(-36)*5\/(-15)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020487 is divided by 508.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -22. Suppose 8*h - 210 = -a*g + 3*h, -3*g = h - 118. Suppose 32 = 5*k - g. What is the lowest common multiple of 12 and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261647*r**2 - 3*r*w + 13396084*w wrt r.\nAnswer: -523294*r - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 184.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n + n + 2*n)*(3*n - 2*n + 0*n) + n**2 + 2*n**2 - n**2 + (n + n + n)*(0*n + 3*n + n) + (8*n - 7*n - 6*n)*(2*n + 3 - 3).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.002727 and -0.126?\nAnswer: 0.000343602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - y + y + 70*y**2 - 36 - 73*y**2.\nAnswer: -3*y**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 26560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 21. Let a be u(8). Let h(m) = -m**3 + 11*m**2 + 2*m - 13. Calculate h(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 569, 729 in ascending order.\nAnswer: -5, 569, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*391.3.\nAnswer: -11.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136, -258, -378, -496, -612, -726, -838?\n\"Answer: r**2 - 125*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60908 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 514*l**2 - 411*l - 314. What is h(-102)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 - 6*z - 6. List the prime factors of w(-4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 5 - 8)*(-3*g + 5*g - 5*g)*(2*g**2 + g**2 - 6*g**2 + 1) - 3*g + 2*g**3 + 3*g as v + f*g + a*g**3 + z*g**2 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, -1, -5, -557 in descending order.\nAnswer: 5, 3, -1, -4, -5, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/42 and 115\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.5, -4, -2, 2\/57, 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.1. Let z be (2 - 0) + 52\/(-28). Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/(k*k**(3\/8)))\/k)\/k*k*k**(2\/7))\/(k\/((k\/k**9)\/k)*k**22) assuming k is positive.\nAnswer: k**(-1797\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621948129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*m**2 - 5*m - 3*m + 114 + 7*m - 58*m**2 - 123 as b + k*m + p*m**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b2 + -4?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 45, 67, 89?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -3 - (22 + -31)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1053))*-1)**2 + -2*sqrt(1053)*-2 + 2 + (sqrt(13) + 2 - sqrt(13)) + sqrt(13) + -5 + 4.\nAnswer: 73*sqrt(13) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 9. Let c be k(0). Let l(r) = -3*r - 9 + c. Let f(h) = -3*h**2. Give f(l(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 350*0.3\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/29 - 110747\/2639)*240\/140\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 11 = 77*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 55*x**3 + 13*x**2 - 21*x - 49. Let w be i(6). What is w rounded to the nearest 100?\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8\/5, 5, -150\/11, -4, -0.047, 1?\nAnswer: -150\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.15 (c) -3 (d) 1\/4 (e) -0.1101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866996\/540 + (-2)\/5*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1707 - -0.5707. Sort -1\/4, -2\/15, -8, k.\nAnswer: -8, -1\/4, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 386 = 2*q, -f + 5*q - 23 = 51. Let d = -23 - 36. Let w = d - f. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1268163 divided by -13.\nAnswer: 97551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + g**2 + 206 + 2*g**2 - 4 as o*g + l*g**2 + y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + 3 - (-88 - -84).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-6))\/(-3*(-6)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4*y)\/y*(y*y\/((y*y**3)\/y))\/y*y)\/(y**3\/y**(-5))*(y*y**(2\/7))**18*(y\/(y**1\/y)*y)\/y*(y*y*((y*y**0*y)\/y)\/y)\/y assuming y is positive.\nAnswer: y**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = -25*p - 19*p + 11*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 + 2*i**3 + 11*i**2\/2 - 146*i. Let g be (-6)\/27 - 194\/18. Let v be t(g). Which is greater: -1\/6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.001, -11285, 0.5, -2\/5, 0.1?\nAnswer: -11285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273\/2140483 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105014563 by -6563.\nAnswer: -16001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6892648 rounded to three dps?\nAnswer: -5.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 21\/(-6))*(-696)\/76 - -3. Is 8 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 63?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5197?\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-1)\/(-4)). Let l be v\/9 - (-13)\/3. Let h = 5.90808 - 5.70808. Sort l, 31, -1\/2, h in descending order.\nAnswer: 31, l, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 48. Let c be z(-10). Solve -9*f + c - 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2794 - 0.278039. What is q rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*z = -52, s + 4*z - 16 = 3. Let r be (-4)\/6*s\/(132\/(-54)). Suppose 5 = -3*o + 59. Solve -r*k = -d - 11, 4*k + 0*k = 2*d + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -3\/122, -0.3, -0.5, -3.7?\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {q: 3, o: 5, u: 1, z: 1, n: 4}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139536\/211 or -660?\nAnswer: -660","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 957 - 936. What is the remainder when 181 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343*2340.87\nAnswer: -802918.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -1 - 1, 192946 = 5*m - 4*n. Round m to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4995\/54 + (-2)\/(-4) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 1. Let h be p(1). Let j be (-3)\/3*(h + 0). Let g(q) = -6*q + 1. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 109, 182, 275, 394, 545?\n\"Answer: z**3 + z**2 + 49*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 14*z**2 - 6*z - 80. Calculate s(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 - 4435*d + 22156. What is x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:59 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -v, v + 8 = 5*v. Suppose 3*s + 0*x = 4*x + 146, -3*s + 153 = f*x. Calculate the remainder when s is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9921\/7 + (12\/7 - 2). Let n = 2802 - v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233055217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 9. Let t(z) = -z**3 + 14*z**2 + 2*z - 26. Let h be t(i). Solve -12 = -3*a - 2*a + 4*w, 0 = h*a - 5*w + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 167*p**3 + 11*p - 2. Let o(d) = -83*d**3 - 5*d + 1. Calculate 6*c(f) + 13*o(f).\nAnswer: -77*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-21)*1 - (-28)\/49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 4*l + 40, m = 2*l + 14. Suppose 15 = f - 6*f. Let h = -25 - -25. Which is the nearest to h? (a) m (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-7) + 5085\/105. Suppose 0 = -7*v - y + 434. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 15 = 2*m, 3*m + 0 + 3 = -3*n + 2*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18*f + 986. Determine j(57).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -4*b, 2*z + 6*b + 8 = 11*b. Let a be 4 + 3 + 241\/(-33). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2827 = 32*l + 2379 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -629*o - 1162. Calculate a(-2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2627101 + 149165 = -16*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 186418 - 32932. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -37*x - 3*v + 89, -4*x - 57 - 3 = -4*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 86*t**2 + 310*t - 257. What are the prime factors of i(-71)?\nAnswer: 2, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 205. Let d(x) = 6*x + 0*x - 4*x - 4*x. Give d(p(j)).\nAnswer: 4*j - 410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -80*4*3\/(-30). Let s(z) = 38*z**2 - i*z**2 + 4 - 4. Let l(x) be the second derivative of -25*x**3\/6 - 11*x. What is s(l(u))?\nAnswer: 1250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*s - 9, -4*g - 2 = -s + 1. Let b(z) = z - 1667. Let r(c) = -2*c + 1665. Let p(q) = -3*b(q) - 2*r(q). Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714148 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -33*n - 41. Let k(m) = -3*m**2 - 3. What is j(k(w))?\nAnswer: 99*w**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 - 100 - (4 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 250\/175*(-8)\/(-8)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*z + 1566, 5*z + h - 1118 = -3070. What is z rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6*q**3 - 2*q - 3 - 6 + 2*q**3 in the form t*q**3 + h*q + g*q**2 + l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 14, 30, 52, 80, 114?\n\"Answer: 3*k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let h(m) = -41*m**2 + 12*m**2 + 13*m + 13*m**2 + 8*m**2 + 13*m**2. Give q(h(z)).\nAnswer: -25*z**4 - 130*z**3 - 169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -56596\/31 and -1827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -40. Suppose -5*y = -3*n - 1043, 0 = n + n - k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540888112.\nAnswer: 2, 96305507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 4*y, -5*l = 4*y + 1 + 18. Let v be ((0\/(-3))\/y)\/(-2). Solve v = -3*s + b - 1, -5*s + 0*b + 3*b = 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*r + 22*r - 37*r + r + 5*r.\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 + 23 + 61 + 53*n**4 with respect to n.\nAnswer: 212*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2)\/(1 - -1) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**2 - 39*y + 7. Calculate f(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 1179 = -207. What is the lowest common multiple of 253 and x?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/45*1). Let f(s) = -3*s - 10 + m*s + 2. Let p(t) = 3*t - 2. Let w(z) = 2*f(z) - 9*p(z). Differentiate w(o) with respect to o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (104\/(-16) + 6)\/(4\/(-2)). Which is the third smallest value? (a) s (b) -0.7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65098 - 43462. What are the prime factors of u?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 5*a**8\/1344 - a**7\/84 - a**6\/32 + a**5\/12 + 5*a**4\/24 - 3*a**2 - 7*a. Suppose t(m) = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 25, -3*z - o = -0*o - 32. Suppose 36 = 3*c - z. Suppose 0 = 37*q - 43*q + 48. What is the remainder when c is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8763382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, 4, 2.\nAnswer: -25, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 263262880 or 263262876?\nAnswer: 263262880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 5*k - 2. Let u(c) = 2*c**2 - 6*c - 2. Let z = 7 - -31. Suppose z = -b + 2*b. Suppose -5*j = 3 - b. Calculate j*m(o) - 6*u(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*p + 262 = 4*p, -5*y = -2*p - 442. Suppose l + y = 5*l. Let i = l + -14. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48891730.\nAnswer: 2, 5, 4889173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 g when three letters picked without replacement from {o: 2, f: 1, g: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 34*a - 30 = 0. Solve a*y + 8 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -2.7. What is the smallest value in -0.02, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111003323 (base 4) in base 7?\nAnswer: 506336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, b: 2, e: 2, f: 1, k: 8}. What is prob of sequence kkb?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imiimm. What is prob of sequence mm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -112, -246, -494, -892, -1476, -2282, -3346?\nAnswer: -4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/807 or -1?\nAnswer: 5\/807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-2)\/3)*3. Let g = 4525.5 - 4526. Which is the biggest value? (a) 4 (b) g (c) 0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 46623500 = -53*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11223 + 30301?\nAnswer: 13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10202 (base 4) to base 5\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1688643393 and 6362?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 20. Let q = 222 + -114. Suppose 0*t = c*t - q. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 612077441 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 16847364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 + o. Let c(p) = -3*p - p**3 + 7*p**2 - 6*p**2 - 3*p**3. Let n(j) = -c(j) - 3*u(j). Find the third derivative of n(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 - 4164*q + 4160 = 0.\nAnswer: 1, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 48*x - 104*x**4 - 129*x**4 + 25*x**4 - 46*x as i*x**2 + v*x + h*x**4 + l + r*x**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7780 - 7776.417. Let n = 3.6 - b. Let r = -6.317 + n. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 17*c**2 - 9*c - 11. Let b(z) = z**3 - 9*z**2 + 5*z + 6. Let k(y) = -4*a(y) - 7*b(y). Give k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 95341.766\nAnswer: 19068.3532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116.495 hours in nanoseconds?\nAnswer: 14819382000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -33786\/10129 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -112031100?\nAnswer: 112031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.1, 1\/6, -10, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 2, k: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-6608) + 185\/(-3245)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -246?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 157606 divided by 251?\nAnswer: 157606\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 725708 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*a - 26 + 26 + (0 + 2 - 1)*(0*a + 5*a - 3*a) to the form x + q*a and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46561\/7218 + -5\/802. Calculate the common denominator of f and 62\/125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/330*((-2)\/1)\/(206\/309).\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77a973 (base 11) in base 14?\nAnswer: -245683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 4*n**2 + 2*n. Let r(w) = w**3 - 3*w**2 + w. Give 3*o(c) - 4*r(c).\nAnswer: 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2, a: 3, p: 4, z: 2, j: 3}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8263 - -10252. What is the least common multiple of n and 1768?\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -25. Let w(o) = -10 - 36*o - v + 31*o. What is the units digit of w(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 + 3*u**2 + 2*u + 2. Let i be h(3). Calculate the smallest common multiple of 11 and ((-92)\/10)\/(i\/115).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*q + 69. Let h = -11 + q. Factor 8*f**3 - 21*f**3 + h*f**5 + 3*f**3 + 5*f.\nAnswer: 5*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5152 is divided by 1210.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -46.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Let y = f - 0. Which is the nearest to 1\/3? (a) 0 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y, -l = y + 3 - 33. Suppose -3*j - 2 = -4*m + 1, 2*j = 5*m - 9. Suppose z + m = 3*u - l, 4*z + 4*u = -204. What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 2*j**3\/3 + 4. Let i(k) = -3*k**2. Calculate i(c(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-six fifths of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 77\/1241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 77268545, 2, -3 in descending order.\nAnswer: 77268545, 2, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:43 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:42 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:49 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 3. Let c be u(5). Calculate the remainder when 26 is divided by c\/((-3)\/(-3) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 87*r + 2763 = 90*r, 3*r = 4*f - 2757. Is f greater than 691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - k - 12 = 0, -4*w + 44 - 8 = -5*k. Suppose 5*t + 25 = 4*r + r, -3*r = w*t - 15. Do 1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33808581 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022024 (base 6) to base 10.\nAnswer: 143008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100877401?\nAnswer: 100877401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -326 + 308 - (-15 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a hour in minutes?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 59. Suppose 5*y = 3*f - 70 - 29, b = -2*y - f. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 0) + -3 - (242 - 237)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5237 + 5286. Let g = -35.9 - 9.1. Let c = g + q. What is the third smallest value in 13, 0.2, c?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1241 and -348664.2985.\nAnswer: -349905.2985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 24*n**4 - 28*n**3 - 72*n**2 + 176*n - 96 = 0. Calculate n.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 9. Let y(j) = -j**3 + 4*j**2 + 2*j - 3. Let c be y(x). Is (-8)\/(-20) + 333\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -646 + 700. What is the highest common divisor of 54 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11420 + 12818 = -758*s - 58484 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 5. Determine x(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11568, 11564, 11564, 11574, 11600?\n\"Answer: b**3 - 4*b**2 + b + 11570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -22*l + 49. Let r be v(-11). Suppose 255 = -3*x - r. What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*m = -316*m + 3000. Suppose 0 = 5*w - l - m - 30, 20 = 4*l. What is the greatest common divisor of w and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66504054011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -3562, -35, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 13) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -226\/251 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = 19*f - 4, -2*g + 4*f = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(3\/14)*s\/s**7 assuming s is positive.\nAnswer: s**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9528484896.60000427 - 9528484942. Let o = 45.4 + m. What is o rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4493450 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.3 (c) 64\/11 (d) 3 (e) 0 (f) 191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4020 - -4016. Which is the smallest value? (a) 4\/7 (b) r (c) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 - 228 - (-1 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/5 + 126*f**2\/5 - 207*f - 6348\/5.\nAnswer: -3*(f - 23)**2*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 36*r - 325 = 0. Suppose -3*j + 110 = -r. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.1. Suppose -2*u = -4*u + 4. Let q = 1686.6 - 1687. What is the nearest to f in u, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244734 less than -0.5?\nAnswer: 244733.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133*u**3 + 75*u - 11 + 0 + 59*u - 34*u.\nAnswer: 1133*u**3 + 100*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6304627 (base 10) to base 13.\nAnswer: -13c9864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Suppose 24 = 2*b - 0*w + 3*w, 0 = 4*b + 5*w - 50. Let d be (-1 - -1) + 4 - 2. Solve 0 = -h*o - s + b, -d*s = -s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 2*b**4 + 0*b**4 + (46*b**2 + 23 - 23)*(-5*b + 3*b - b)*(-5 - b + 0 + 0).\nAnswer: 139*b**4 + 690*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*g - 3*g - 4 = 0, 3*y - 5*g - 20 = 0. Solve y = k + n - 1, -3*k - 7 = -2*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 - i**2 - 4*i**2 - 2 + 2*i**2 + 2 - i**2 + 0*i**2 + 3*i**2 + (0*i + 0*i + 2*i)*(3*i + 2*i - 3*i) + 2*i**2 + 4*i**2 - 4*i**2 + 3 + 2*i**2 - 3.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, -1\/2, -2 in decreasing order.\nAnswer: -0.4, -1\/2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 11*j + 35*j)*(-4*j + 2*j + 0*j).\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 + 3*a**2 + 7*a - 8. Let w(p) = -p**3 + p**2 - p - 1. Let c(m) = t(m) + 4*w(m). What is c(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820805 divided by 224?\nAnswer: 2820805\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -320, -719, -1278, -1997, -2876?\nAnswer: -3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2358200*p**2 - p + 10090794.\nAnswer: 4716400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/61, -0.4, 3 in descending order.\nAnswer: 3, -5\/61, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -128.9*0.34\nAnswer: -43.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let n(c) = 15*c + 2. What is -2*i(r) + n(r)?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 divided by -6.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791771777.\nAnswer: 3, 199085753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -79 + 99 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)\/w*w\/(w**(-2\/7)*w)*((w**(-1\/2)\/w)\/w)**3*(w**(5\/4)*w**2)\/(w**(-1)\/(w**(-5)*w)) assuming w is positive.\nAnswer: w**(-641\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/827, 25 in increasing order.\nAnswer: -2, 4\/827, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/8 - 84807*p\/8 - 593355\/4.\nAnswer: -3*(p + 14)*(p + 28255)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 25. Suppose -2 - 7 = 3*o, 2*o + 20 = w. What are the prime factors of f(w)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/30*(0 + -12). Suppose -5*o = -2*o, 4*o - 128 = r*l. Calculate the common denominator of ((-12)\/22)\/(1\/4) and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -774 divided by 2\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3006 = -3*i - 2993, -2*x = -9*i - 26 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 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: Calculate the common denominator of -37\/12976 and -57\/10664650.\nAnswer: 85317200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 19*k**5\/20 + 13*k**4\/12 + 16*k. What is the third derivative of f(r) wrt r?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/12, 1, -1, 171\/4 in ascending order.\nAnswer: -1, 1\/12, 1, 3, 171\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -411, -600?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000100011100111101 (base 2) to base 6.\nAnswer: 314214353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(-6*k**3 - 2*k**3 - 20*k**3) + (0 + 0 + k**2)*(k - 3*k + k) to b + u*k**3 + i*k + c*k**2 and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 27*r\/5 + 216.\nAnswer: -3*(r - 24)*(r + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5932, -12171, -18752, -25669, -32916?\nAnswer: -40487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 809803\/32610 + 2\/5435. What is the common denominator of t and 29\/291?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126310.272 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 3. Let b(d) = -d**2 + 7*d + 16. Let p(c) = b(c) - 5*z(c). Determine p(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 6536. Let f(d) be the second derivative of d**4\/6 - 2246*d. Give p(f(k)).\nAnswer: -2*k**2 + 6536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 4*p + 18. What is x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 50, 69, -5, 3.\nAnswer: -5, 3, 50, 65, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*k - 41 - 37 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - 2*-2*sqrt(252)) + -1*(sqrt(252) + 1) - (sqrt(252) + 1*sqrt(252)*3 + sqrt(252) + 3 + sqrt(252) + -1))**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-65) + (-812)\/70?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145\/4 + -36. Let n be 5\/10*0\/(-1). Let l = n + z. Sort -0.04, 2, l in decreasing order.\nAnswer: 2, l, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23776?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 6*x**4 - 2*x**4 + (1 - 1 + 4*x)*(17*x**3 + 21*x**3 + 19*x**3).\nAnswer: 230*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/6 - -5\/12. What is the closest to 2\/5 in t, -5\/4, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**4 + 6*i**4 - 21*i**3 - 15*i**4 - 27*i - 45*i**2.\nAnswer: -3*i*(i + 1)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*m**3*z - 3*f*m**2*t + 4*f*t*z + 4*m**3*t*z + 7*m**3*t + 3*m**2 wrt f?\nAnswer: 3*m**3*z - 3*m**2*t + 4*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Let p(h) = -h**2 - 21*h + 25. Let b be p(-22). Find the second derivative of -b*j**3 + j + 3*j + j - 2*j**x wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019 = 397*o - 8906 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Let n be (k + 3)\/(-10)*2. What is the units digit of (n + 8)*(-4 + 25\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 689, 1398, 2011, 2480, 2757, 2794?\n\"Answer: -8*q**3 + 765*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229773 is divided by 2704?\nAnswer: 2637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 23 + 5588*x**2 + x - 5584*x**2 + 3*x in the form p*x**2 + b*x + m and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120692 divided by 2\nAnswer: 60346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(2\/13)*y))\/y*y)\/y**3*(y**(3\/5)*y)\/(y\/y**0) assuming y is positive.\nAnswer: y**(-101\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z*z**23\/z*z*z*z)*z)*z*z**(35\/4)*z*(z\/(z*z\/(z*(((z*z**(-8\/11)\/z*z)\/z*z)\/z)\/z)*z))**(-2\/25))**(3\/23) assuming z is positive.\nAnswer: z**(23079\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21508 (base 10) to base 4.\nAnswer: -11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6*n - 2*t, 0 = -t. Do -3\/10 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f - f)*(4 - 13 - 9) + 969*f + 1 - 974*f + 0.\nAnswer: 31*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -278. Let k = v - 98.1. Sort -2, 2, k, 0.\nAnswer: -2, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0 - 2)*1. Let u = 3 - k. Suppose u*j + 150 = 8*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2 + 16*l. Let g(z) = 9*z**2 + 11*z - 1. Let s(r) = -4*g(r) + 3*q(r). Let k(v) = 19*v**2 - 11*v - 11. What is -4*k(i) - 11*s(i)?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 11*q**2 + q - 33. Give b(-7).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2993336 and 50?\nAnswer: 74833400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 + (-11 - -741201)\/19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 3*m - 2*d, 0 = -m - 5*d + 2. Find the second derivative of -4*p**2 + 4*p**m - 5*p**2 + 4*p - 2*p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose 28 + 3*z**3 - z**t - z**3 - 28 = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 8551474?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159\/5 + -1759\/55. Let z be 1 - (44\/5)\/4. Let j = 7\/5 + z. Which is the smallest value? (a) -0.1 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 30 = -9*a. Let u(d) = 2*d + 3*d**2 - 12*d**3 + 13*d**3 - a*d. Give u(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + v = 38, 0*f + 5*f - 5*v = 110. Solve 0 = 3*x + f - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-160)\/(-144) + 16)\/((-6)\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*b + 2*b**3 - 1 + 18*b**3 - 11*b**2 - b**3 wrt b.\nAnswer: 114*b - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 - -165. Let j = 54 + u. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1116 - -1143. Suppose -4*n = -5*i + 2*i + 31, -4*i - 4*n = -4. Suppose -9 = -i*p + 41. What is the remainder when k is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {w: 13, s: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**4\/4 + 10*m**3\/3 + 4*m + 7. Let g be y(10). Differentiate h**2 - g - 4*h**2 + 2 - 2 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7257602369?\nAnswer: 6121, 1185689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b4 (base 14) to base 16.\nAnswer: 191e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9728797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i + 56*i = 148088. List the prime factors of i.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 2. Let c be (0 + 0)\/3 + -3. Let u be (-1)\/((-1)\/(0 - c)). What is w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12493 is divided by 964?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/7 (b) -10 (c) -7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) 4 (d) -62299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, f: 1, w: 3, q: 2, t: 2, y: 3}. Give prob of picking 1 t, 1 y, and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.165552 + 10614.\nAnswer: 10613.834448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 22 + 81*t**2 - 7.\nAnswer: 81*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(2 + (sqrt(684) - (sqrt(684)*2 + sqrt(684)))).\nAnswer: -48*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (0 - 0 - (-11 + 1 - -5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2157473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:21 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -492000.\nAnswer: 491999.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-3))\/4*-1)\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9822236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 9 + 5 + -3. Solve 5*p - 1 = 2*n, 2*n - c*n + 5*p = 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7584)\/(-120))\/((-2)\/(-85))?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Suppose x = 11 - t. Which is the second smallest value? (a) 4 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -719, 0.3, 1 in descending order.\nAnswer: 4, 1, 0.3, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -25*n + 93. Let x be a(3). Suppose 2*g + x = 2*u, -6*u - 3*g = -2*u - 22. Let c(t) = -t**3 + 7*t**2 + t - 2. What is c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*j - 93. Let q = -18 - j. What is the remainder when 9 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - s + 42 = 0, h - 2*h + 10 = -s. Let t = 8 - 0. What is the lowest common multiple of h and t?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 29, 69, 137, 239?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i**3 - 15 + 25 - 3*i - 12. Let b be p(-1). Suppose -b = -9*h + 11. Solve n + 0*n - 10 = h*o, -4*n + o - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 392 + -219. What are the prime factors of c?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 1 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 240. Let d = z - -98. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 16*j + 9*j**2 - 5*j**2.\nAnswer: -2*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 692, 1596, 2508, 3434, 4380, 5352?\n\"Answer: d**3 - 2*d**2 + 903*d - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0324628 less than or equal to 39\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 + 1. Suppose -2*q + 16 = 2*q. Suppose -4*r + 0 = q. Let w(a) = a**2. What is r*d(i) - 6*w(i)?\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33e4 (base 16) in base 14?\nAnswer: 4bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from hqghgaahgk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -237*i - 232*i + 467*i + 2. What is c(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-1 - (12 - (22 + -15))) - -19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 38445801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*k - 6206 + 9657 + 12732 = 223 for k.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 + 3*d**2 + d - 4. Let v be j(-2). Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*v + 1 - 43082*v + 75351*v - 43492*v + 0*v - 2*v - v + 3*v - 3*v + 2*v + (0*v + 4*v - 2*v)*(-1 + 1 + 2) + v - 4*v + 4*v.\nAnswer: -11217*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005536 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 9*c**3 - 49*c - 19*c + 8*c**3.\nAnswer: -c**3 - 67*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -737, -1493, -2251, -3011, -3773, -4537?\n\"Answer: -d**2 - 753*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 700331 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250329?\nAnswer: 3, 1083443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/30 and 49\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -5 - -58) + -1 - (9 - -3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 12, 521\/2, 4.\nAnswer: -1\/7, 4, 12, 521\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 + -1 - (7 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 1. What is v(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -294*o**2*q**3 + 11599*o**2*r + 333*o*q**3*r - 144*o*q**3 + 13*o*q**2 + 2*o*q wrt r.\nAnswer: 11599*o**2 + 333*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 36903\nAnswer: -5\/36903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -16, -7\/2, -1\/11, 1, -4\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -29\/4 (b) -12\/31 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 6*u**2 + 9*u - 9. Let p be (-172)\/43*46\/(-8). Suppose 5*j - 7 - p = -3*i, -3*i + 2*j = -9. What is d(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m - 357 + 355 + 822 = 0. Solve -m*b - 5*b - 30 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 105*f**2 - 227168*f - 1708. Give z(-427).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s\/s**(2\/65)*s)\/(s**10\/s*s**(-6)) assuming s is positive.\nAnswer: s**(-392\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**3*q - 9*i*q + 194*i - 20458*q wrt i?\nAnswer: -9*i**2*q - 9*q + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150246 = 1139*o - 1148*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 1, -4, -5, -876 in decreasing order.\nAnswer: 1, -4, -5, -31, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -158\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2070*v**4 - 2*v**2 + 3*v - 5*v**3 - 2053*v**4 + 4119*v**4 to s*v**2 + g + o*v + x*v**4 + l*v**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*u**3\/6 - 505*u**2\/6 - 5*u = 0. Calculate u.\nAnswer: -6\/107, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4545? (a) 9\/5 (b) -4 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + ((-520)\/380)\/(-13) + (-810)\/475\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-2\/29)*q))\/q)\/((q\/q**9)\/q))\/(q\/(q\/(q**1\/q))*q)**(2\/37) assuming q is positive.\nAnswer: q**(8600\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnngnnnn. What is prob of picking 2 n and 1 g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733867269 + 0.087?\nAnswer: -1733867268.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -s + 2. Let g be ((-8)\/10)\/(2\/(-40)). Suppose 2*z - g = -42. Which is bigger: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 103. Let j(l) = -l**2 + 18*l - 29. What is the units digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 32*j + 1301. Calculate n(-40).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-21)*(-4)\/(-10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4466 divided by -5\nAnswer: -4466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101130733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 469*v**2 + 26749*v + 3460265.\nAnswer: 938*v + 26749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*g**2*k*v - g*k**2 - 28*g*v - 28*k**2*v + 2*k*v + v wrt g?\nAnswer: -34*g*k*v - k**2 - 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaafffaaafaffffaff. What is prob of sequence aff?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 - 20*k - 67)*(-2*k**3 - 2*k**3 - 2*k**3) to v + s*k**4 + x*k**3 + f*k**2 + d*k and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 3, 2, -34, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6413000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-r**5 - r**5 + 4*r**5) + (0*r**4 - 3*r**4 - r**4)*(r + 0 + 0)*(6 + 13 + 0).\nAnswer: -74*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4609 - -7100. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 116 - (-642)\/(-8)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60, -65, -70, -75, -80, -85?\n\"Answer: -5*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(416))\/(2*sqrt(72) - sqrt(2) - (sqrt(8)\/sqrt(4) + sqrt(2))*-4)*4.\nAnswer: -96*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1330 and 22.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Let w = 9200 - 9195. Solve -i*c = 0, w*j + 3 = 2*j - 5*c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(133)*-1 - sqrt(133)*-1*-1))\/((sqrt(1575)*2)\/(sqrt(90)\/(sqrt(50)\/sqrt(5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -104*t - 8217. Let j be k(-79). Which is the closest to -0.1? (a) -4\/7 (b) j (c) 3\/2 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6278.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 - 2*u**2 + u - 6. What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9 + 34 + 25*w**2 - w + 256*w**3 - 257*w**3. Let b be p(25). Solve -12 = -2*d + 5*h, b*d = 5*d - 5*h - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322221122 (base 5) to base 11\nAnswer: 854091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, 1.1, 611, 3\/8, 0?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/13, 13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3 and -52\/1419.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/(6*1\/136). Let v = f + -38. Is 1*74\/(-4)*v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 388553055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/625 (b) -9 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from zjzjjz.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153307, 306981, 460655, 614329, 768003?\nAnswer: 921677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*v = 19, -2*i - 2*v + 11 = 1. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 13*b + 21. Let x be w(-2). Calculate the highest common divisor of x and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11990\/(-20) + (-1)\/2. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 1312?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416435 and 486.\nAnswer: 229462470","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -211209.2.\nAnswer: -211212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -t. Suppose 0 = -2*p + t*h + 23, -22 = -5*p + 5*h + 33. Solve -3*s - g + p = -5, 0 = s + 4*g - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 70. Suppose 3*k + 2*k = a. Suppose 0 = l + 3*y - 22, 0 = -2*l + y + 9 + 7. What is the remainder when l is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*d + 328 = -138*d. Let s = d - -119. Suppose 15*t - 172 + s = 0. Solve -5*m + 6 = -t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -200212201200010?\nAnswer: 200212201200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785922843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58475.59 rounded to the nearest 10?\nAnswer: 58480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25520.84 - -25520. Sort 1\/7, q, -44 in descending order.\nAnswer: 1\/7, q, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9568*p**2 + 9566*p**2 + 7*p**4 - 6*p**3 - 14*p**3 to y*p**3 + b*p**4 + n*p**2 + f*p + h and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 2290.478195?\nAnswer: 2288.478195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32345.\nAnswer: 5, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/(-2)*155. Let x = -1547\/10 - i. Is x at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2922348 and 28024568?\nAnswer: 1092958152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16568.2 + 16603. Which is smaller: -4\/7 or r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844300 rounded to the nearest ten thousand?\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/168891 and -59\/4047.\nAnswer: 11991261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80028 and 72.\nAnswer: 160056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30796038, -61592079, -92388120, -123184161, -153980202?\nAnswer: -184776243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*v = -0 + 1, x + 4*v = 6. Suppose k - 268 = 6*k + 4*u, k + x*u = -50. Let g be (k\/5)\/(4\/(-40)). Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:05 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**4 + h**3 + h**2 - h - 1. Let v(y) = -60*y**4 + 83*y**3 + 86*y**2 - 53*y - 5. Let b(t) = -2*v(t) + 18*z(t). Let b(l) = 0. What is l?\nAnswer: -1, 2\/17, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -17. Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 31*s - 327. Let p be q(11). Suppose 2*y - 2*t = -3*y + 82, 0 = -4*t - 4. Solve -y + p = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, 256, 167, 110, 97, 140?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (883*d - 1749*d - 686 + 864*d)*(-2 - 2*d**2 + 2).\nAnswer: 4*d**3 + 1372*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -187, -377, -567, -757, -947, -1137?\n\"Answer: -190*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Let o(r) = 2*r - r**3 - 2*r - 18*r**2 + r + 16. Let l be o(-18). Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/4 - 604698*i - 121886557068 = 0 for i.\nAnswer: -403132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131012 (base 7) to base 13.\nAnswer: b120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 15*m**3 - 18*m**3 + 23*m**3 with respect to m.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/58*(-8)\/(-2518). Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 93 = 26*c - 60 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m + 3*n + 63, -2*m + 2*n = -26 + 12 + 20 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 46 = -6*d - 213, 2*d = -3*f + 189. What is the remainder when f is divided by 232\/12 - (-2)\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:24 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 34 - (-1 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1297*f**2*j**2 + 4*f*j**2 + j**2 - 22*j wrt f?\nAnswer: 2594*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 1462, 3276, 5806, 9046, 12990?\nAnswer: 17632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21525293 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66440 = 5*t + 5*c, -65*t = -61*t - c - 53152. List the prime factors of t.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**4\/2 - 2683*a**2. Let w(b) = 149*b - 1. Determine z(w(i)).\nAnswer: 1788*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773.256cm in nanometers?\nAnswer: 37732560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(572*1 - 1). Suppose -w + 2*z + z = -q, -2*z + 2284 = 4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let t(u) = 47*u - 3. Let o(c) = -1. Let d(v) = -3*o(v) + t(v). What is w(d(q))?\nAnswer: -94*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*o**2 + 144*o**2 - 264*o**2 - 488*o**3 in the form v*o + k + p*o**2 + a*o**3 and give a.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 61*h - 13 - 1 + 69*h - h**2 + 77*h - 189*h. Is v(8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020110 + -3?\nAnswer: 2020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*q + 8660 = -1580*q - 464*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 6*z**2 - z**2 + (-2*z - z + 5*z)*(2*z + 1 - 1))*(-3*z - 2*z**2 + 3*z).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -27 + (6 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*p - 5 = 1, k = 5*p + 18. Suppose -z = 4*w + k*z - 12, 0 = 5*z + 10. Let g = 7 + 6. Put g, 0, w in descending order.\nAnswer: g, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 + 390. Calculate the greatest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -8. Suppose 2*y - 2 = 2*f, -3*y + 3 = -f - f. Suppose -3*i = y - o. Solve -7 = -i*l + 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 6*s - 4. Let a be z(4). Suppose 2*v - 20 = -a*t, 0*t = -3*v - t + 25. Solve -5*p + v = -7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170\/20 - (3 - -6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2548*d**2. Let r(u) = 481*u**2. Calculate i(r(x)).\nAnswer: -589507828*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11127069, -11126984, -11126899, -11126814, -11126729, -11126644?\nAnswer: -11126559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3122 and 130014129?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxzzxxxzxz. What is prob of picking 2 x and 2 z?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1719 by 4.\nAnswer: -1719\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*p - 6*p - 1 in the form y*p + d and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2) - sqrt(50) - sqrt(2)) - (sqrt(21)\/(-1*sqrt(3)))**2) + ((sqrt(77)*-2)\/sqrt(11) - ((sqrt(567) + -2 + sqrt(567))**2 - sqrt(7))).\nAnswer: -2279 + 354*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - c + 72, 0 = -4*o - 3*c + 80. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -113 + 2*n + 50 + 65 - 6*n**2. Let f(t) = 78*t**2 - 27*t - 27. Calculate 4*f(s) + 54*o(s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 41 - 25) + 2 + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - u - 5 = 0, 3*w - 5*u - 30 = -5. Suppose 2*q = 116 - w. Suppose -q = -3*i - 7. Solve 2*d - 9 = -l, l = -l + 3*d - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 3*p + f + 9, p + 4*f = -19. Put p, -2, 5 in descending order.\nAnswer: 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195 - -199) + (-10 - (-2 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 12*k + 25. Let t be a(-14). Which is bigger: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - 0.9. Let i = -10 - -30. Suppose -3*g = 2*g - i. What is the closest to x in 0.4, g, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 72 = -t. Let r(b) = -b**2 - 2*b + 4. Let g be r(-3). Suppose 4*s + g = t. Solve -6 - 2 = -s*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/10)\/((12\/(-10))\/(-3)). Let t(x) = 33*x - 1. What are the prime factors of t(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69753289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/5 - 914253*y\/5 = 0 for y.\nAnswer: -304751, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17389165*m**5 + 4976726*m?\nAnswer: 347783300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (1 - (-24)\/8). Suppose -44*n + b*n + 468 = 0. Which is smaller: 14 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*h + 40*h + 44*h + 41*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.079, -2\/9, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5 + 5)*(1 + a - 1) - 1 + 4*a**2 + 0*a - 4*a + 0*a**2.\nAnswer: 3*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3 + (-1 + 0 + 2)*(0 - 2 + 0) - 2 + 1 - 1 + 3 + 0 - 1 + 16 + 30 + 55)*(-v**2 - v**2 + 0*v**2).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897*b**3 - 877*b**3 + 1773*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - y**2 + 2*y - 2. Give j(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-3 - -2516)\/7?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 31. Let z be t(19). Suppose 0 = 5*m + 2 + 8. Put m, -1, z in descending order.\nAnswer: -1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*sqrt(48))\/(sqrt(66)\/(sqrt(11)*2)))**2*-4.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 376 - 368. Is 11 a factor of (-2)\/6*-173*(y + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541500 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.981431ns to hours.\nAnswer: 0.0000000000005503975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66372633 is divided by 3745?\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 - 127600*m**3 + 815362500*m**2 - 16256250000*m = 0.\nAnswer: 0, 20, 12750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*r + 26*r = 75*r + 15*r - 10017 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbk when three letters picked without replacement from pbxkpbxsksssxxbk?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.5 (b) -3 (c) -14\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n + 2*z + 461 = 0, -4*n + 374 = z. What is the smallest common multiple of n and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 4*m + 12, -m - q + 2 = 0. Let w be 2\/(-3) - 4\/m. Find j such that 14\/3*j - 10\/3*j**2 - w = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10710964?\nAnswer: 2, 11, 243431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 11*y**4\/12 - y - 23. Let q(x) = -3*x. Determine q(c(a)).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*y + y. Suppose u + q = 4 + 2, 4*q - 16 = y. Suppose -3*z - 2*o + 42 = 0, 5*o - 5 = z - u. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 33 + 9*g + 0*g**2 + 7*g + g**2. Let k = -1079 - -1063. Let z be u(k). Are 33 and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-104100)\/350)\/(16\/7 - 2). Sort 1, -2, y.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - m. Let d = -162 + 163. Give g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21008111 plus 28?\nAnswer: -21008083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16118 - -62347. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160481375 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 18\/9) + 17799\/1275.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*4 - (2*(0 + sqrt(11) - sqrt(11)))**2) + -5*(5 + sqrt(44)\/sqrt(4)).\nAnswer: -25 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 (base 8) in base 3?\nAnswer: 100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 568 = 9*y. Suppose 197*j - 195*j = y. What is the remainder when j is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*v + 2*o, -v + o + 8 = -4*v. Let y be (20\/(-350) + (-3)\/21)\/1. What is the nearest to y in -4, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + j - 6 = 0, -j + 4932351 - 4932369 = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3 - 2) + 30 + (-121 - -118)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30187 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 5.6 and 423 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 8084*o + 117 = 8082*o, 0 = -4*f + o - 91 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:12 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455583 is divided by 3078.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(48) - -4*sqrt(1200) - sqrt(48) - sqrt(48)) + (sqrt(48) - (1*sqrt(288))\/sqrt(6))*5 + -3)**2.\nAnswer: -467883 - 4104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 10:24 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 19 = 5*u, -2*b - 6 = -4*u + 10. Suppose f + u*y + 10 = 0, 0*f - 2*f - 5*y = -5. Solve 0 = x - 3*t - f, -5*x + 0*x = 3*t - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 2*p**2 + 2. Let o be w(-2). What is the units digit of (24\/o)\/((-9)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 p when three letters picked without replacement from ppdddtttdddnddt?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 * -0.02\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4753 - 4737. Let s(h) be the first derivative of j*h**2 + 8*h + 10\/3*h**3 - 20 - 7\/2*h**4. Factor s(q).\nAnswer: -2*(q - 2)*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.03 - -0.03. Let v = 3 + y. Let t = 2.1 + -2. What is the closest to v in 0.3, -5, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337416 a multiple of 827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15010 + 102?\nAnswer: 15112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430786 divided by 6.\nAnswer: 215393\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4290*o**3 - 2*o**2 - 1878*o + 5*o**2 + 1878*o.\nAnswer: 4290*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 5*f + 20*f - 29*f in the form x*f + d and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -3, 15, 53, 117, 213, 347, 525?\n\"Answer: q**3 + q**2 - 6*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*y + 15, -2*g + 4*g - y = 6. Suppose -2*z = 10, 4*z + g = -5*l - 2. Suppose 2*x = l*x - 75. What is the greatest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*j - 626*j + 1212*j - 63 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 + a + 64. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(2 + (4 + sqrt(180) + -2)**2 + (3*(sqrt(180) + 1))**2)*4.\nAnswer: 8448*sqrt(5) + 116160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269936869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k**2*r*w - 3*k**2*r - k**2 + 238*k + 10*r*w**2 - 6*w**3 wrt w.\nAnswer: 10*k**2*r + 20*r*w - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(7\/6) + -1. What is the nearest to o in -2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -7*d**4\/24 - 7*d**2\/2 + 4*d. Let i(x) be the first derivative of j(x). Let w(b) = -b. Give w(i(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/7)\/(-12)*-16. Suppose -6 = z*m - 22. Solve -g + 2 = m*y + 10, -4*y + g = 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(63).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*j - 7*j + 58, 2*j = 5*h + 130. Let x = -56 + j. Suppose r - 4*l = 77, 6*l = 2*l + x. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3696\/(-1617)*((-3)\/9)\/(4\/6).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 106 - 29 + 19*w**2 - 20 - 25.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 10 = -g, -y = -g - 1573 + 1575 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 16087677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -262*y + 19468. What are the prime factors of d(0)?\nAnswer: 2, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*f + 3, f = 5*m - 3*f + 5. Suppose -704 - 7486 = -5*q. Calculate the common denominator of 53\/6 and m\/(-2)*q\/72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j + 1. Let h be x(4). Suppose 3*p = 3*d - 78, 5*p = -d + 4 - 2. Calculate the highest common factor of d and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.65 + 30.55. Let v be (-17 - -21) + -1*1. Sort w, v, -1, 0.4 in descending order.\nAnswer: v, w, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(2*h**3 + 4*h**4 - 2*h**4 - 3*h**4) + (-3 + h + 3)*(2*h**3 - 3*h**3 - 3*h**3).\nAnswer: h**4 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*t - 1, 2 = 38*j - 43*j - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139566941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1163 + -1014. What are the prime factors of z?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 46, 109, 198?\n\"Answer: 13*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 48 = -6*n. Suppose -n*d = -17*d + 25. Solve x = -d*x + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*j + 261 = 0, -s + 33 = 3*j + 150. Suppose -297 = 5*f + 148. Let v = f - s. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(63))\/sqrt(576).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(3\/8)))\/d**(1\/7))\/((d*d**(-4\/3))\/d**(-3)))**14 assuming d is positive.\nAnswer: d**(-409\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c + 18*c + 5*u + 4, -2 = c - 3*c + 13*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*1*4)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let z(q) be the second derivative of -q**5\/5 + 3*q**2\/2 - 6*q. Let b(w) be the first derivative of z(w). What is b(v(x))?\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080476 - 64?\nAnswer: -64.080476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112379015?\nAnswer: 5, 7, 19, 168991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t**(2\/11)\/t*t)**(-1\/2))**14 assuming t is positive.\nAnswer: t**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1944, 4, 3\/2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 37. Let f = 128 - n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/45*(-10)\/4. Let v = -39.04 - -39. Let k = -0.04 - v. Sort -1, o, k.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62856, 1, -1.42 in descending order.\nAnswer: 62856, 1, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 4534 + 2338 + 2196.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 + 27 = 0. Let t(p) = -195 + 17 + 40 + 37 - 6*p + 42 + 47. What is t(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807763 = -4666*j + 299169 for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76519724567 - -76519728033.9517007. Let z = 3465.4517 - w. Let i = z + 1.5. What is i rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g + 20*g - 78 = 69*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 2. Let l(m) = 1. Let i(h) = 5*l(h) - x(h). Calculate i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30*z**3 - 32*z**3 + 12 - 51*z - 50*z + 56*z**3 + 96*z. Let m(r) = -5*r**3 - 4*r + 11. Calculate 5*m(v) - 4*u(v).\nAnswer: -v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8 - (-2)\/4. Suppose -5*f = -28 + 8. Suppose -29 = 5*m - f. Sort 0.4, t, m.\nAnswer: m, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*g**4 - 269385*g + 33882986.\nAnswer: -92*g**3 - 269385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-78) + (-385)\/(-455)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 11*r**2 - 487*r**2 - 111*r**2 as j*r**2 + t + q*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 5. What is p(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -607 - -1405. Let j(r) = 400*r - t*r + 403*r. Let i(n) = 7*n**2. What is i(j(x))?\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/49 and -9.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -42*c - 31 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i + 52. Give f(-16).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2703 + -2631. Calculate the smallest common multiple of 6 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(2\/44). Let l(v) = v**3 + 11*v**2 - 5*v - 1. What is the units digit of l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/2 - 15*v**2\/2 - 9*v. Let x(k) be the second derivative of k**3\/6 - 2*k**2 + 18*k. Determine -4*g(j) + 15*x(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**3\/3 + 3*y**2 + 4*y + 134. Let i be f(6). Solve i*l + 23 = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 26*z - 20*z. Does 81 divide (-5)\/(-20) - (-11613)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 4. Let w(z) = 7*z**j - z - 3*z + 0*z. Let o(n) = 20*n**2 - 11*n. Let f(y) = -y - 2. Let s be f(-6). What is s*o(u) - 11*w(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from attataaaaaaa.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -175*j**2 - 127*j**2 + 304*j**2. Let u(i) = 3*i**2 - i. Calculate u(d(o)).\nAnswer: 12*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) + (sqrt(2) - (3 + -2 + sqrt(2))))**2.\nAnswer: -2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, m: 9}. Give prob of picking 4 l.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 537 = 681. Suppose 118 = 5*i - 4*i. What is the remainder when 4\/(8\/i)*1 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 3*y**3 - 4*y**3 + (0*y**2 + 0*y**2 - y**3)*(-1 - 2 + 1) + 0*y**2 + 0*y**2 - y**3 - 38*y**3 - 7*y**3 + 75*y**3.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = -168*w + 1036 + 2357 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/(16\/(-40)). Let o be (2 + 4)*x\/(-9). Is ((-49)\/(-3))\/(o\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.787, 3, -7 in descending order.\nAnswer: 3, -0.787, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177287*i*x**3 + i*x + 3*i - 12*x**3 - 24460*x**2 + x - 2 with respect to i.\nAnswer: -177287*x**3 + x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 + 144. Suppose 0 = -23*r + y*r + 11361. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 222037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 8505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -257 (b) 0 (c) -1\/8 (d) -3\/190 (e) 0.2 (f) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7916219 and 749902?\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1756255372?\nAnswer: 1\/1756255372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + r - 10 = 0, 5*r = -4*z - 5. Let i(b) = b**3 - 4*b**2 - 5*b - 7. What is i(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64395)\/1908*8\/(-10). Solve q = 5*i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 71, -0.01, -1\/4, 3\/97, 2\/33?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 1\/22, -6, -8.\nAnswer: -8, -6, -0.1, 0, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -103232000?\nAnswer: 103231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u - 28. Let d(j) = -j - 1. Calculate -3*d(o) + g(o).\nAnswer: -3*o - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1756, -3516, -5276, -7036, -8796?\n\"Answer: -1760*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20.875 * 25.3\nAnswer: 528.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2601 and 42.\nAnswer: 36414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1375 - 1372.083. Round l to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/378*-21)\/(-1*(-16)\/12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4886 = -31*t + 880. What is the remainder when t is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38766 and 3?\nAnswer: 38766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2704804, 2704862, 2704920, 2704978, 2705036, 2705094?\n\"Answer: 58*s + 2704746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let d(p) = -p + i + 1 - 4. Let r(l) = -2*l. Let a(q) = q - 1. Let w be a(-4). What is w*r(u) + 8*d(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36995*d**5 + 30732*d wrt d.\nAnswer: -739900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 43*h - 32. Let r be j(12). Suppose 0 = -r*x + 7*x + 1911. Calculate the lowest common multiple of 21 and x.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7142)\/4278 + (-3990)\/(-2394). What is the closest to 1 in b, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 6*r - 174. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 15. Calculate the remainder when 35 is divided by j(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 368 + -363. Suppose -k = -5*q + 28, -6*q + d = -2*q + 5*k. Solve q*m + 3*s = -2 + 39, s + 11 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - 0 - (-170 + 169 + 49)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -0.2. Let u = -1.25 + -1.75. What is the closest to 0.08 in u, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 10*d + 12. Let i be t(9). Let z be i - (3 + 6*3). Let j = -15 - z. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 1 = 5*x, -13 = -4*b + x. Let i(c) = -c**3 + 4*c**2 - 5*c - 2. Let p be i(b). Let l(m) = -m**2 - 11*m - 16. What is the units digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -47*a + 308 + 84 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.88 + -4.88. Which is the second biggest value? (a) 35.2 (b) 2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (-340)\/30)*((-561)\/(-6) + 1). What is the greatest common factor of m and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3723\/365 + -11*1. What is the nearest to -2\/7 in -32, l, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -67. Solve y = -3*g + 6*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**4)**32 assuming b is positive.\nAnswer: b**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/6 - 5*t**2\/6 + 197*t + 396 = 0.\nAnswer: -36, -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 156\/7 (b) -0.3 (c) 2\/5 (d) 0 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 13) in base 4?\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/5 (b) -2\/51 (c) -0.1 (d) 0.3 (e) -0.058 (f) 23\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 453223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004475563.\nAnswer: 7, 13, 11038193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/10 - (-1 - -1). Let m be 4\/(-1) + l + 56. Let d be (0 - 0)*13\/m. Does d = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -16*c + n + 8, 0 = -2*c - n - 2. Let a = -3 + 7. Let b be 0 - 1*3\/6. What is the nearest to c in b, -4, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/11 + 8255330*j**3\/11 - 774438323554*j**2 + 2323308216306*j = 0. Calculate j.\nAnswer: 0, 3, 2063831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39631 is divided by 58?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -45.215416.\nAnswer: 25.215416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/689905 - -99321483182\/11728385. Let l = 1671035\/187 - w. Let u = l + -467. Are 1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/(-35) - (-204)\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33\/5 (b) 6\/5 (c) -0.24 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5137*i**3 - 2*i + i + 1847*i**3 - 1942*i**3 + 1680*i**3 to n + t*i**3 + l*i + d*i**2 and give t.\nAnswer: 6722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o + 105 = -35*o. Suppose d - 4 = -3*r, 19 = 4*r - 4*d + 3. Suppose 3*y = 2*f + 5, -2*y = -y - r*f + 5. Solve -y*i - o = -10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5182 - 2995 + 3978 - 6149)*(-2*h**2 + 3*h - 3*h).\nAnswer: 20696*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 132534*v - 132537.\nAnswer: 3*(v - 44179)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 3*s - 1. Let i(f) = 2*f**2 - 2*f + 1. Let n(o) = -5*i(o) - 4*p(o). Let v be n(2). Which is smaller: 1\/6 or v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + -3 - 4) + -1 - -3. Calculate the greatest common factor of b and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 3*c - 4*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1341 - -1439. Calculate the highest common factor of g and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 88 = 2*x. Let n be x\/18 + 0 + 1. Let g = 17\/45 - n. Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11018, -22345, -33672?\nAnswer: -44999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 10*s - 663 + 723, 4*b = 2*s - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:05 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/6)\/((28 - -2)*28\/630). Determine m so that 17\/8 - 9\/4*m + w*m**2 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 23, 39, 59, 83?\n\"Answer: 2*m**2 + 6*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -34*u. Let x(j) be the second derivative of j**6\/240 - 7*j**4\/12 - 2*j**3\/3 - 2*j - 16. Let y(p) be the third derivative of x(p). What is c(y(t))?\nAnswer: -102*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0028 + -0.2028. What is the closest to 1 in 1\/3, 0.05, y, 62?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1400045470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c**4 - 19*c**4 - 2*c**3 + c**3 - c + 0*c to r*c**3 + b + u*c + p*c**4 + o*c**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 4104\/252 + -3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1371)\/(-3656) + (-54)\/16. Let m(v) = 3*v**2 - 16*v + 3. Let h(x) = -6*x**2 + 31*x - 5. Determine c*h(a) - 5*m(a).\nAnswer: 3*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y + 4*p, 0*y - 4*y - 2 = 2*p. Suppose 2 = 4*w - 6. Sort y, 4, w.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(2299)*-2 + -1)*1 + -4))**2.\nAnswer: -4752*sqrt(19) + 331380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:38 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 22*z + 24*z. Solve -v = -4*o + z, 5*v - 6*v - 4*o = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75919.76 centuries to years.\nAnswer: 7591976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, -11, -0.03, 1\/5, 5, 3894, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + -3) - (11 + -15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000528467093 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 11988?\nAnswer: 83916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)*(o\/o**14)\/o assuming o is positive.\nAnswer: o**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10818046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/((2\/4)\/(15 + -16)). Suppose -2*g + 0*g - 848 = -5*u, g = -4. Calculate the greatest common divisor of u and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46443 is divided by 2570.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74820530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9*s = 4*d, 0 = -s + 4. Let q(k) be the first derivative of 0*k**3 - 7*k - 3\/4*k**4 - d + 0*k**2. Differentiate q(x) with respect to x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.009 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 24 = -4*u, -4765 = 4*u - 4777 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 17. Let r be h(-4). Solve 3*s - 3*q + 2 = -r, -2*s - 2*q - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 greater than or equal to 4721\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047489, -1047476, -1047455, -1047426, -1047389?\nAnswer: -1047344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122100)\/(-592))\/((-1089)\/(-66)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2194*z**2 - 5 + 5.\nAnswer: 2194*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-14)*7*(-3)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 2*r - 7. Let k be b(5). Suppose 568 = 2*x + 118. Let s = k + x. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3077 and 171769.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 36*j - 106. Let q(x) = -12*x - 28. Let n be q(-3). List the prime factors of p(n).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572 divided by -1034?\nAnswer: -786\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j + 4. Let g be h(-5). Is g at least as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20008 and 52416368?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u + 4*f = 64*u + 66*u - 4, -7*f + 16 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22119530189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9 + m - 18*m + m**2 - 2*m**2 + 4*m. What is the units digit of i(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4.8 (b) -5 (c) -1 (d) 143 (e) -1\/76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3636*o + 7082930. Give m(1948).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1139, 2280, 3421, 4562, 5703, 6844?\nAnswer: 7985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1436*s**2 + 311*s + 40. Let j(w) = 2871*w**2 + 623*w + 70. Let q(g) = 4*j(g) - 7*t(g). What is the second derivative of q(u) wrt u?\nAnswer: 2864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16430561.\nAnswer: 7, 293, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3512)\/(-1756)*4*5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -64354417 less than -0.002?\nAnswer: 64354416.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -378*h**2 - h. Let v(p) = 21*p - 238. Let i(l) = 11*l - 136. Let u(y) = 7*i(y) - 4*v(y). Give u(m(f)).\nAnswer: 2646*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 39. Is 17 a factor of (f - 0 - 4)\/((-4)\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 14*o. Let r(v) = -v**3 + 8*v**2 + 2*v - 3. Let d(g) = 3*g**2 + g. Let p(j) = -3*d(j) + r(j). Calculate p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4548 and 135588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38772, 38778, 38788, 38802, 38820, 38842, 38868?\n\"Answer: 2*h**2 + 38770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 2*z**2 + z + 3. Let c be v(0). Let s(q) = 12*q - 4*q - c*q. Let b(o) = 11*o. Determine 6*b(u) - 15*s(u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 16*a**2 - 17*a + 4. Let j be b(17). Suppose z + 0*w = -j*w - 10, z = -5*w - 9. Is z\/(-7) + -1*(0 + -34) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*i - 2*a**3*i*w + 11*a**3*i + a + 17*i*w - 2*i wrt a?\nAnswer: -12*a**2*i - 12*a*i*w + 66*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*k = 1717961, -3*y - 4*k = -0*y + 1717963. Suppose 3*r - 9890612 = -r. Let a = y + r. 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: Let v be (2 - 5) + (-3)\/(-1). Let x be (-2 + 4 + v)\/(-2). Put x, 3, -2 in increasing order.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**3 + 12*l**2 - 134*l + 93. Let u(s) = -7*s**3 + 5*s**2 - 68*s + 46. Let r(a) = -6*c(a) + 11*u(a). Solve r(z) = 0 for z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.032 + -62. Let k = 0.068 + l. Which is the nearest to 0.02? (a) -3\/4 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 7, x: 4}. Give prob of picking 1 x and 2 p.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6241*z**3 + 19248745*z**2 + 14851559448*z + 14832316944 = 0.\nAnswer: -121788\/79, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -17, 2, 3 in increasing order.\nAnswer: -17, -13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from eajfd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -123?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 7*v + 4. Let d be u(-6). Let c(q) = q. Let l(z) = 2*z. What is d*c(i) - 4*l(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4341*c**3 - 5*c. Let l(h) = 2171*h**3 + 2*h. Determine -5*l(u) - 2*r(u).\nAnswer: -2173*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1360142 (base 11) to base 3\nAnswer: 11102000121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 196\/3. Let q(g) = g**2 - g. Let v be q(5). Let r be (8 - 9)*2\/v*-8. Which is the closest to y? (a) 3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 11*f**4\/24 - 5*f**3\/6 + 2*f**2 + 1504. Let b = -37 + 21. Let q(a) = 34*a - 16. Determine b*l(t) + 5*q(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -2161. List the prime factors of p.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43968600 rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s + 1. Let k be g(2). Suppose 4*f - 2*r = -3*r + 241, -f - k*r + 52 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 + 4*f**3 - 6*f**3 + 0*f**3.\nAnswer: -2*f**3 + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9536.560367 to the nearest one hundred.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i + 8. Give r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 50. Let v(k) = 65 + 5*k - 29 - 17 - k**2. Let c be v(9). What is the remainder when 40 is divided by n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2102530 is divided by 700774.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*p**3\/7 - 18*p**2\/7 - 444*p\/7 - 80\/7.\nAnswer: 2*(p - 5)*(p + 4)*(11*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-285)*(-10)\/((-120)\/(-9)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*y**3 + 327072*y**2 + 3368212*y + 8691284.\nAnswer: 4*(y + 2261)*(6*y + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2 and 3\/24 + -5 + 267785\/55384?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q = -p - 53*q + 8, -4*p + 11 = -5*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 947*b**2 - 369*b**2 - 41 + 1222*b**2 in the form o*b**2 + n*b + w and give o.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + z. Let r be (-28)\/8*((-16)\/(-7))\/4. Let l be a(r). Let p(f) = -f + 2. Calculate p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12261 - -3?\nAnswer: -12255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -16942815700 to the nearest 1000000.\nAnswer: -16943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f + 171. Let y be w(-19). Let s(i) = i**2 + 26*i + 4. Let l be s(y). Let n(m) = m**3 - 3*m**2 - 3*m + 5. Determine n(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51348*d**5*i + 1230*d**2*i - 2*i wrt d?\nAnswer: -3080880*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/992 and -13\/7051136.\nAnswer: 7051136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 536?\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*x + 3*k + 9, -15 = -5*x - k. Suppose 5*u - 15 = 4*a + a, -x*u = 4*a - 37. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.5647 and 0.5.\nAnswer: 4.78235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285233.\nAnswer: 13, 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + 0.89. Let z = s + -1.020094. What is z rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -6*j + 2*j + 36, 2*j - 6 = r. Suppose -15 = -4*d + j. Let x = 0.2 - 0. What is the second biggest value in d, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 + 64. Find the common denominator of 0 - (z\/36)\/(-5) and -83\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 - 220*q**2 + 232*q + 448 = 0. Calculate q.\nAnswer: -56, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let b be -2 - ((-6)\/(-9) + l). Factor b*t - 2\/3*t**2 - 2\/3.\nAnswer: -2*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(4 + sqrt(1008) + 2*sqrt(1008) + sqrt(1008) + 2*sqrt(1008)*-3)*-4 + -2))**2.\nAnswer: -428544*sqrt(7) + 9324324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47e (base 15) to base 2.\nAnswer: -1111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 42*y - 302. Is a(88) a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.62229nm to millimeters.\nAnswer: 0.00004262229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let k(v) = -7033113*v**2. Determine k(i(x)).\nAnswer: -28132452*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, t: 1}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {q: 3, c: 1, x: 4, v: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*s + 90 = 0, 0*s = -3*x + 4*s + 54. Let f be (-3)\/x*14*-3. Solve -5*t + 2*o - 15 = f*o, 2*o + 8 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -161*m**2 - m. Let p be u(1). Let i = 184 + p. Calculate the least common multiple of i and (44\/10)\/((-1)\/(-5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703080 and 42000.\nAnswer: 35154000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*w - 154, -6*x + 5*w + 230 = -x. Calculate the greatest common factor of x and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1220*-2\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/2 - 199447*h**2\/2 - 5585692*h - 78205176 = 0.\nAnswer: -28, 199503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**3 + 121*v**2*z + 30412*v**2 + 488*v*z + 92*z - 11 wrt v?\nAnswer: -24*v + 242*z + 60824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z - 5*y = -15, -3*z + 2*y = 45. Let h = -18 - z. Let c be 4 - ((h - -3) + 12). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -1\/2, -9, 536, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u - 6. Let j(i) = 15*i - 5. What is -5*h(q) + 6*j(q)?\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 2060837*o - 32.\nAnswer: 2060837*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3\/6 - 2*d**2 + 14*d - 150. Let s be -2 + 1*-1*1. Let f(c) = 3*c + 11. Give s*f(k) - 8*t(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3006.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 22. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - u = -4, -7*g + 2*u = -3*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/36)\/(456\/(-18))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -6720.26079.\nAnswer: -6719.96079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8)*48\/(-108))\/((56\/(-357))\/8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124175 - 0.57.\nAnswer: 124174.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100321021022 - -22?\nAnswer: 100321021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i*i*i**6*i)\/i)\/i*i\/i**(8\/7)*i*i)\/((i\/((i\/(i*i*i**(-2\/7)*i)*i)\/i))\/(i\/(i*(i*i*i**(-11)*i)\/i))))**38 assuming i is positive.\nAnswer: i**(4560\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*d = 12. Let p be 2 - (0 - -3) - 5. List the prime factors of d\/9 + (-104)\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*d + 108*d - 76 = 2*m, -m - 104 = 3*d + 4*m for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (7056\/54 + -18). Which is greater: -113 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 10*q - 32. Let u(v) = -2*v - 4. What is the least common multiple of u(-6) and t(13)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100\/691? (a) -2 (b) 19 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/3 - o**2\/2 - 1. Let y(j) = j**2 + 2*j - 4. Let l be y(-4). Suppose i - l = -3. Let k(v) = -v. Give i*h(q) - 3*k(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -27. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a - 85*a - a**3 - 34*a.\nAnswer: -a**3 - 89*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*c**3 - 280*c**3 + 120*c**3)*(2 - 3 + 3 + (-3 + 4 + 0)*(2 + 2 - 5)).\nAnswer: -63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/7)\/((x\/(x*x*x\/(x*x**(1\/4))))\/x))\/(x**(5\/2)*x*x**(1\/7)) assuming x is positive.\nAnswer: x**(-37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty sevenths of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 38.2\nAnswer: 1107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -48. Suppose -4*f - 4*k + 4 = 0, 0 = 2*f + 4*k - 1 - w. Let b(r) = -3*r - 6. Let q be b(-4). Solve -y - f = -q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 - 3*h + 3. Let d be i(2). Suppose -2*b = 3 - d. List the prime factors of (-10)\/(-2)*(-4)\/b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15 - r - 8 + 23. Let h(k) = -11*k. Give h(z(n)).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509782583 to the nearest integer?\nAnswer: 22578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 15) + 70 + (31 - 86)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2 + z + 15*z**3 - 2 - 8*z**3 + 0*z**3 - 10*z**3 + (-2*z + 2*z + 2*z)*(0*z**2 - 3*z**2 + 5*z**2) + 54*z**3 - 505*z + 505*z.\nAnswer: 55*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5067 + 54?\nAnswer: 50bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 196?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/15300*34)\/(((-4)\/3)\/4)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.038 - 0.338. Let s = 0.311 - 0.231. Which is the third biggest value? (a) -0.4 (b) h (c) 4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2373 to 3 dps.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*b - 11, -r + 14 = -3*r + 4*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 2, e: 1, x: 1}. Give prob of picking 1 e, 1 w, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -16, -1.4, -3 in increasing order.\nAnswer: -16, -3, -2, -1.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 414 + 270 = 0. Suppose -99 = 25*c - u*c. Solve -c*p = -13 - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*r - 285*r**2 - 301*r**2 - 53*r to l*r**2 + d + b*r and give l.\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -4 (b) -3\/8 (c) 0.6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986.182392 rounded to the nearest ten?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 10, d: 1, p: 2, i: 1, q: 1}. Give prob of picking 1 d, 1 q, and 1 i.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s - 6. Let i be m(4). Let c be (-6)\/4*(-24)\/i. Suppose 48 = 2*l + c*l. What is the lowest common multiple of 10 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9029958*0.3\nAnswer: 2708987.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/60*85)\/(2\/(88\/33)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(1\/4). Suppose r*f - 2 - 6 = 0. Suppose c = -f*o - 3*c + 8, o + 3 = 4*c. What is the lowest common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*l + 17299 + 19999 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4567169.7 rounded to the nearest one thousand?\nAnswer: 4567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + 105*l**2 - 164*l + 510. What is j(51)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -16, -1\/3, 40?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 612\/51 + 7\/(-14)*22. Sort -4290, 0.5, s.\nAnswer: -4290, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366823 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-21 - (-10 + 4) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 - 1971 = -3*t. Suppose -4*f = 4*k - 629 - 79, -5*f + 4*k = -t. Suppose 0 = 3*g - 64 - f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/42 and -187\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 6*y**2 + y - 1. Let i be k(6). Let o = i - -7. Suppose 8*j + 8 = o*j. Solve 3*z - 20 = r + 4*r, 5*z - 8 = j*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2650 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234.3 - -220. Let o = -14.4 - i. Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2553\/(-230) - 2\/5)\/(6\/(-12)). Which is smaller: 460\/19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30316109 by -31.\nAnswer: -977939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.6 - -6.6. Let m = h - -14. Which is the biggest value? (a) 0.3 (b) -0.2 (c) 4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) - 26\/6. Let u(n) = -n**3 - 6*n**2 + 15119 - 5*n - 7544 - 7571. Let o be u(a). Solve o - 8 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 18*i = -84, -3*u - 799*i + 17 = -798*i - 4 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23446*q - 140682. Determine j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - -5*sqrt(600)*-2) + sqrt(600))\/(sqrt(108)\/sqrt(81)).\nAnswer: -120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6771*a**2*n**3 + 1975*a**2*n + 2*a*n**3 - 1918*a*n**2 wrt n?\nAnswer: -40626*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106.394 in 3\/2, 0, -105, -3?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7673111*c**2 + 35154452 wrt c.\nAnswer: 15346222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/11)*h)\/h**(-3\/2))**(-31) assuming h is positive.\nAnswer: h**(-2263\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12) - (-11)\/60)\/(-42 - (-167485)\/3990).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3 + v**2 - v - 1. Let o = 252 + -250. Let c be y(o). Solve 5*d - 5*n + 0 = -c, -11 = 2*d - 3*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**8*h)\/(h**(7\/4)\/h))\/(h\/(h**(2\/19)*h))**(-42) assuming h is positive.\nAnswer: h**(-849\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l**3 - 158*l**2 - 208*l + 1160 = 0 for l.\nAnswer: -58\/7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4702*a - 37629. Determine p(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltllllll. What is prob of picking 1 l and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1120 or -1143?\nAnswer: -1143","meta":{"dup_signals":{},"source":"comparison__pair_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: Collect the terms in 10*p + 1 - 1 + 0 - 2.\nAnswer: 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -5\/11 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9257087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (4305\/(-1316))\/(-1). Let b = -1\/47 + c. What is the third smallest value in 1, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -6. Let h = -30 + j. Suppose -g + 140 = h*m - 3*g, 4*m - 188 = 4*g. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/55)*b**(-12))\/((b\/b**3*b*b)\/b*b)**(2\/23) assuming b is positive.\nAnswer: b**(-658\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1300) + sqrt(1300)*1 + -1 - ((sqrt(1300) - (sqrt(1300) - -3*sqrt(1300))*4)*5)**2)*2.\nAnswer: -14624998 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-168)\/11970*20\/8.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -2 - 196\/2. Suppose -u - 16 = -3*g, 5*g - 98 + 34 = 3*u. Let d be h\/u*(-40)\/(-7). Calculate the highest common divisor of 160 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/3 - (-8393)\/21?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + p - 2)*(912 + 808 - 276 - 167) to f + r*p and give r.\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/16, -0.24, -2\/11, 0?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 9585603?\nAnswer: 95855aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*d + 19 = 0, -2*s + 2*d = 4*d + 6. What is the smallest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -904575 (base 10) in base 9?\nAnswer: -1627753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645 is divided by 1471?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 203 - 11*c**2 - 45 - 45 + 337.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {c: 8, n: 2, e: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1361*w**2*x*y - 2*w**2*x - w**2*y - 3*w**2 + w*x - 2698*w*y wrt w?\nAnswer: -2722*x*y - 4*x - 2*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -66, -171, -318, -507, -738, -1011?\n\"Answer: -21*j**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {e: 3, j: 6, p: 1, q: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -35*o. Let r(c) = -10*c - 7. Let g(f) = -4*f - 3. Let a(k) = 14*g(k) - 6*r(k). Determine a(v(b)).\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1100001202200?\nAnswer: -1100001202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-72) + 1\/6\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65830.85 nanograms in kilograms?\nAnswer: 0.00000006583085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-two fifths of a milligram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18081 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 = -5*x, 3*d - 4*x - 11 - 10 = 0. Calculate the least common multiple of (-2)\/8 - (-25)\/4 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.318 + 1.682. Suppose 0 = -3*a + 6*a + 6. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-3 + (2 - -1)). Let g be 4 + 4\/(-4) + -1. Let w = h + g. Solve 4*y + 3 = -5*j + w, -2*y + 4*j + 14 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 + 1. Let b(k) = -8*k**2 - 5*k**2 + 22*k**2 - 4*k**2. Determine x(b(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 + 4440*y**3 + 1102590*y**2 + 81355880*y - 434902275 = 0. What is y?\nAnswer: -531, -181, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 223 - 67. Calculate the remainder when 23 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -733, -1461, -2189, -2917?\n\"Answer: -728*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/895, -20, 11, -2\/3.\nAnswer: -20, -2\/3, -1\/895, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3265780 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -7 + 86\/3*d**3 + 0*d**5 - 14*d**2 + 0*d**4 + 0*d - 131\/60*d**6. Differentiate m(h) with respect to h.\nAnswer: -786*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 - 0.3. Let h = a - 2. What is the second smallest value in 0.5, 2, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*k**4*x - 26067*k**3*r*x - 429*k**2*r*x - 56*k**2*x + 4*r wrt k?\nAnswer: -2208*k*x - 156402*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/55100 or 1?\nAnswer: -3\/55100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104725 divided by 132.\nAnswer: 104725\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -114*j + 37. What are the prime factors of c(-6)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (2021319\/(-36) + 2\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-20))\/((-3)\/30). Let b be 2*(10 - a)\/(1\/14). What is the greatest common factor of 84 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19275288 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - -6) + -1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1623, 1561, 1499, 1437, 1375, 1313?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1592281?\nAnswer: -10\/1592281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1748 - 3?\nAnswer: b1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 1, t: 9, x: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**3 + 1\/120*h**5 - 1\/72*h**4 - 1\/720*h**6 + 0*h + 0 + 14*h**2. Let t(r) = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (9 + 2 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -66 + ((-1)\/1)\/(-1) + 2. Let h = 94 + o. Suppose 0 = f + h - 36. Solve w + f*j + 17 = -w, -5*w + 4*j = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 5*r + 4. Let h be ((-1)\/3)\/(1\/(-15)). Suppose -h*d + 2*z = -29, -z + 2*z + 2 = 0. Calculate q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130560?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3)*(14 + 13 + -6). Solve 12*x + 5 = -b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t = 10, 10*t - 8*t + 6 = 3*c. Let k(v) = -3*v**2 + 6*v**2 + 3*v**c + 2*v**2 - 10*v**2. Let n(b) = -93*b**2. What is k(n(m))?\nAnswer: -17298*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1) + 1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 3*d**2 + 3*d + 3. Let j = -5 - -3. Let r(a) = a**3 - a**2 + a + 1. What is j*z(g) + 6*r(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 12*k**2 + 12*k + 13. Let f be h(-11). Suppose 0 = 4*o - f*o - n - 8, -n - 14 = -5*o. Solve 4*q = o*j - 10, -4*j + 4 = q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h + 1. Let r be q(1). Suppose r = v + v. Calculate the least common multiple of v and (12\/(-18))\/(((-8)\/54)\/2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/54 and -19\/7074.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:06 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5584023.\nAnswer: 3, 43, 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 4*w - 372. Let v = -59 + w. Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 3041.\nAnswer: -112.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19167\/7 - -19171\/7. Let i be -1 + (-6)\/(-1)*1. Let c = -3 + 28. What is the third biggest value in i, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(11) - sqrt(128)\/sqrt(2))\/(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(242)*1).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*((-8)\/48)\/((-1)\/(-3))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 65*h + 481. What is c(32)?\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c)\/c)**39*(c*((c**1*c)\/c)\/c)\/(c\/c**(1\/13)) assuming c is positive.\nAnswer: c**(-2534\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))**(-46)*y**(-6)\/(y*(y**(3\/8)\/y)\/y))**(-4\/19) assuming y is positive.\nAnswer: y**(2791\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11195 - -15797. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - z = 91, 0 = -2092294*w + 2092297*w + 3*z + 63 + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k)**6\/(k**17*k**(-15\/4)) assuming k is positive.\nAnswer: k**(-293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from fdfddfdffddzddddd.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.1, 7380911, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -1 + -82 + 76?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -2*c**3\/57 + 187*c**2\/19 + 376*c\/19 - 2461. Determine z, given that g(z) = 0.\nAnswer: -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-21))\/7*(-231)\/66*1\/(-21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 1, -14 in descending order.\nAnswer: 2, 1, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:09 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -527627?\nAnswer: -527623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 4 (c) -2\/17 (d) 1\/80 (e) 2902\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*l**2 - 38*l**6 + 91*l**2 + 5*l**4 - 7*l**4 + 12*l**2 wrt l?\nAnswer: -4560*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.163 times -71.858\nAnswer: -11.712854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -2309426.\nAnswer: -2309442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2521 + 2517 = 3*o, 10 = -7*n - 3*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 + 208. Suppose -4*u**4 + u - 3*u - 2*u**2 + 16*u**j - 2*u**2 - 22*u = 0. What is u?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 + 3948*i**4 + i**3 + 10*i**2 + 3*i + 16?\nAnswer: 60*i**2 + 94752*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 446 (b) -66 (c) 0.5 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12*g*(g*g**10*g)\/g)**(-36))**(11\/8) assuming g is positive.\nAnswer: g**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1020*f + 4. Let x(k) = -511*k - 2. Give 2*i(n) + 5*x(n).\nAnswer: -515*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 233*g**2. Let y(h) = 3021*h. What is x(y(f))?\nAnswer: 2126460753*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*6\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 - 227824*b**3 + 43*b**2 - 16971*b - 14491.\nAnswer: 24*b**2 - 1366944*b + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/5 + 118*s\/5 - 744\/5 = 0 for s.\nAnswer: -124, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -1\/9 (c) -5 (d) 0.0491 (e) 0.4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2748 + 4692. What is the units digit of ((-2)\/(-4))\/(2 - 3882\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 2*j**2 + 42*j. Let w(c) = 10*c**3 - 7*c**2 + 126*c. Calculate -2*w(h) + 7*y(h).\nAnswer: h**3 + 42*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -4, -3990 in decreasing order.\nAnswer: 60, -4, -3990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1135832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 - 3*m**2)*(0*m - 2*m + 3*m)*(-2 + 4 - 1)*(-2 - 2 + 3)*(28*m**2 + 8*m**2 + m**2).\nAnswer: 74*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/33)*b*b**(-1))**(-2\/61) assuming b is positive.\nAnswer: b**(-62\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 - 2 = 0. Let b(v) = -2*v**2 - 3*v + 6. Let i(l) = -6*l**2 - 8*l + 17. Let u(m) = 11*b(m) - 4*i(m). List the prime factors of u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*a + 30187 = 884*a - 36005 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1432*s + 18 = 1435*s + 3*n, 23 = 4*s + 3*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 280798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 16\/7 (c) -1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/3 + 3*p**2\/2 - 5*p. Find the first derivative of k(v) wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from xxeooxoooooe.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - k**4 + 2 + (2*k**3 + 0*k**3 - 4*k**3)*(-2*k - 4 + 4) + (4*k**3 + 32*k - 32*k)*(2*k + 0*k + 0*k) - 3*k**4 + 2*k**4 + 3*k**4 + 0 + 0 + 3*k**4.\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1351, 4, 9843 in descending order.\nAnswer: 9843, 4, -1351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(99\/660*(-25)\/(-30))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxfffpzxpu. Give prob of sequence fpzx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -1.1, -1, -3, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**5 + 58*m**4 - 1255*m**3 + 2*m - 10644710?\nAnswer: 40*m**3 + 696*m**2 - 7530*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:38 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(25) + (sqrt(1600) - sqrt(1600)*-2))*3*5)\/(-1*(sqrt(500) - (sqrt(500) + sqrt(500)*3))*6) + 0.\nAnswer: 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 12 - 3) + -163 + 164 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 47 - 33 - 894*g - 2145*g as p + t*g and give t.\nAnswer: -3039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:29 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpanpatvazp. Give prob of sequence tzva.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i*i**(-1\/3)*i*i)**(-5\/3)*(i**(-2\/7))**(-8) assuming i is positive.\nAnswer: i**(-451\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 4 - 5*n + 4.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 - r + 1. Let v(y) = y**2 - 2*y - 2. Let m be v(3). What is g(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 602502525 and 18090.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7745123?\nAnswer: -7745118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -13*h**3\/6 + 9*h**2\/2 + 3*h - 4. Let d(p) = 9*p - 6. What is -7*d(y) - 5*n(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnsnpspnnnsn. What is prob of sequence ss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - 2) + -4)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205840 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/16562 and -42\/10985.\nAnswer: 1076530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 455, 904, 1351, 1796, 2239, 2680, 3119?\n\"Answer: -m**2 + 452*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 18. Let p = -1.99 + 2. Let z = p - 0.41. What is the second smallest value in z, 3, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**3 + 0*m**3 + 3*m**3 + 3*m**3 - 3*m**3 + m**3 + (5*m - 4*m + m)*(-m**2 - m + m) + 155*m**3 - 65*m**2 + 65*m**2.\nAnswer: 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + d - 4*d)*(4*d**2 + 0*d**2 - 2*d**2)*(-3 + 3 - 3) to i + v*d + k*d**3 + b*d**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*x + 8 = 68*x + i, x + 4*i = -3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(-11 + 10). What is the second smallest value in i, 1\/4, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1\/((-2)\/(-12)). Let d(a) = -a**3. Let h be d(-1). Is r*14\/(-3)*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z. Suppose -122 = -4*i - 2*g, -g + z*g = i - 33. Suppose 252 - i = 4*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10741, -10371, -10001, -9631, -9261, -8891?\n\"Answer: 370*h - 11111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-44)*(-13)\/(-13)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232959 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**3 - y**3 + 4*y**3)*(-3 + 3 + 1)*(-9*y - 2*y + 23*y) in the form t*y**4 + q + b*y + x*y**3 + s*y**2 and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-646)*5282\/(-556)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 10*n + 9*n + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)\/(q*q**(-2)))\/(q**(-7)\/q*q*q\/(q*q**(2\/9)*q*q)))**(-1\/11) assuming q is positive.\nAnswer: q**(16\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 55*k**2 - 2*k + 5. Let x(b) = 54*b**2 - 2*b + 6. Let v(g) = 6*s(g) - 5*x(g). List the prime factors of v(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (185*572\/333333)\/(2\/9)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 3*r**2 - 39*r - 22. What is h(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-24) - (-76)\/(-3). What is the units digit of r*4*3\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.67 (b) 0.01 (c) 21\/4 (d) -4.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12833 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0248 and 0.795557.\nAnswer: 0.0197298136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 2178, 7293, 17248, 33657, 58134, 92293?\nAnswer: 137748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28*5\/(-2)*6\/15. What is the hundreds digit of (s\/36 - (-2)\/(-9))*-195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j + 2*j)*(-3*j - j + 2*j) + j**2 + j - j + (-2 + 2*j**2 + 2)*(-6 + 2 + 3) - 19*j**2 - 28*j**2 - 19*j**2 to y + d*j + s*j**2 and give s.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/3 - 977*w**2\/3 - 28916*w\/3 + 387860\/3 = 0.\nAnswer: -946, -41, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*o - 291*o + 862 + 8998 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:37 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127542.6 millimeters to centimeters.\nAnswer: 12754.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 4243\nAnswer: 120\/4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/16 - 31*x**3\/6 - 509*x**2\/8 + 143*x + 66. Factor f(v).\nAnswer: -(v - 1)*(v + 11)*(v + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 1897 - 1941 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let t(g) be the third derivative of -g**6\/120 + g**5\/30 + g**4\/8 - 783*g**2. Give t(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.3 and -5099778?\nAnswer: 37228379.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:41 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7163, 2, -2439 in decreasing order.\nAnswer: 2, -2439, -7163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359 - 134 + 566)*(-p**4 + 2*p**4 + 2*p - 3*p**4) + p**4 + 4*p**4 + 4*p**4.\nAnswer: -1573*p**4 + 1582*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91510*c**3*v*w - c**3*v + 3*c**3*w - 2*c**3 + 14835*c**2*w + c*v*w + 43*v*w wrt c.\nAnswer: 549060*v*w - 6*v + 18*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-221)\/(-65)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i + 6*i. Let z = 307 - 308. Sort 0, i, z in increasing order.\nAnswer: i, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -32. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7058, 7054, 7050?\n\"Answer: -4*k + 7062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4718, 9433, 14148, 18863, 23578, 28293?\nAnswer: 33008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 2*c)*(6 - 49 - 46) in the form p*c + t and give p.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*z**3 + 3*z**2 + 996*z - 3423028.\nAnswer: 309*z**2 + 6*z + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let y be 1\/1*m\/(-7). Let l = -8.9 + 8.8. Which is the nearest to l? (a) 13 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.881165 micrograms?\nAnswer: 0.000000000006881165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232811*h**2 - 125430?\nAnswer: 465622*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*u + 13*u. Suppose -5*c - 5 = u*i - 2, -4*i - 17 = -c. Let d = -3.07 + 0.07. Sort d, -2\/5, c.\nAnswer: d, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 18 - (-26 + -58 + 16)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let d(j) = j**2. Let f(n) = 2*b(n) + 6*d(n). Let x(s) = 421*s**2 + 1. Determine x(f(i)).\nAnswer: 1684*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**3 + 9*j**2 - 5. Let i(m) = 3*m**3 - 4*m**2 + 2. Let v be (-117 + 112)*4\/(-10). Determine v*d(h) + 5*i(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccwccccwc. Give prob of picking 2 w and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -9, 5, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, l: 5}. What is prob of sequence nlnl?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.107 * 0.3\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 2}. Give prob of sequence ata.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-228)\/95)\/(-3))\/(-207*(-12)\/90)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(0 - (-54)\/30))\/(5\/(-25))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let y be (7\/(-21))\/((-1)\/12). Let c(s) be the second derivative of -s + 0*s**2 - 1\/12*s**y + 0 + 0*s**3. Give c(x(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (-12)\/(84\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4560.903 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953 = -1562*m + 4723*m - 1623*m - 1631*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -5 + (0 - 1). Suppose 3*s - 5*d + 5 = 0, d + n = -3*s + 2*d. Suppose s*h - 36 = -h. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*r + 0*r - 18 = 0, 1 = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199135, 199133, 199129, 199123?\nAnswer: 199115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 296 + -31. Suppose m = -3*r - 4*q, 0*r - 3*r + 2*q - 295 = 0. What is r rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/15 (b) -0.3 (c) 3 (d) -11.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12809487 = 67*y + 3818612 - 23053014. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665680621.\nAnswer: 11, 17, 317, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6584.888 micrometers?\nAnswer: 0.006584888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -138473, -138466, -138459?\n\"Answer: 7*d - 138480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010318 divided by 314?\nAnswer: -9587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.5 - 36.84. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s - 138*s**2 - 6*s + 16*s + 104 + 139*s**2. Give z(0).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604566 - -4.\nAnswer: 604570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 greater than or equal to 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12*(-5)\/(-40))\/((-3)\/4). What is the second derivative of 612 + 234*v**2 + 115*v**2 + r*v - 554 wrt v?\nAnswer: 698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, -4, 2, -2 in descending order.\nAnswer: 12, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -439705293*d**2*u**2 + 2*d**2*u + 38*d**2 - 18*d*u - d - 7*u + 126 wrt u?\nAnswer: -879410586*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**5 - 8*q**3 - 3*q - 3. Let k(z) = -15*z**5 + 15*z**3 + 5*z + 5. Let j(l) = 3*k(l) + 5*s(l). Factor j(u).\nAnswer: -5*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - 0.16. Let v = 7 + -4. Sort -4, d, v.\nAnswer: -4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593734578 to the power of 1\/2, to the nearest integer?\nAnswer: 67777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/284*(1 - -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 9 = 0. Let x = 555 + -540. Let b be 3\/(-12)*(-2 + 4)\/(-2). Put x, w, b in decreasing order.\nAnswer: x, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m**(-6)*m))\/m**(-3))\/(m\/(m**0\/m))**49)**8)**(-5\/13) assuming m is positive.\nAnswer: m**(3600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohoh. Give prob of sequence hooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 149, -4, -0.66, -28\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18231 >= -18230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 107. Differentiate -22*k + n + 9*k + 4*k with respect to k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2506 and -133\/6?\nAnswer: 7518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(10\/(-1371)) - -1. Let k = i - -705. Let z = -21 + k. Is -1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 250 = -30 + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 12*o - 18. Let y be r(10). Find the third derivative of -3*d**3 - 32*d + 32*d + 8*d**y + 7*d**3 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-16)\/(-24)*12.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77010 and 39578610.\nAnswer: 672836370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*a**3*s**3 + a**3 - 20551*a*s**3 + 7563632*s wrt s.\nAnswer: 1698*a**3*s - 123306*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29714581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5 + 2*u + 0*u + 5*u - 6*u. Determine j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6491 divided by 1386\nAnswer: 6491\/1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 4. Give x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 13}. Give prob of sequence ccci.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**3 - 17*k**2 + k - 16. Let l(f) = -3*f**3 - 8*f**2 - 9. Let r(d) = -2*c(d) + 5*l(d). Let v be r(-6). Sort v, -4, -3 in decreasing order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Suppose -3*z - 2 = -2*z. Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 4. Let z(s) = -2*s**2 + 9*s - 2. Let j(o) = -5*o**2 + 26*o - 5. Let n(q) = -3*j(q) + 8*z(q). Determine n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1\/1650, -0.08, -8648, -1?\nAnswer: -8648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**7\/b*b*b\/((b**4\/b)\/b)*b**(-7)\/b*b\/((b*b\/(b*b*b*b*b\/(b*b*b**6)))\/b)*((b\/b**(-1))\/b**2)**35 assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 83663.414 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*p + 51, 5*j - 2*p + 93 - 136 = 0. Which is the third biggest value? (a) 6\/5 (b) 2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 239041062 and -0.1.\nAnswer: -23904106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102232221122 (base 4) to base 16.\nAnswer: 4aea5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10438573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 595 - 603. Sort 7, v, 1 in decreasing order.\nAnswer: 7, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 11*p + 36. Let v be h(12). Let j be (2\/6)\/(-1 + 20\/v). Let r(t) = 2*t**2 + t - 1. Let s be r(j). Solve 4 = -3*w - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-150)*-10*(-3)\/8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(3\/8)*r**(-1)*(r**(2\/3))**(-18)*(r\/(r**(1\/2)*r)*((r*r**(-1)*r)\/r*r)\/r)\/(r*r*r**0)**(-3\/13) assuming r is positive.\nAnswer: r**(-1213\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03213 - -0.23213. Which is the closest to 6? (a) -3 (b) y (c) 2\/9 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60794 and 250295.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 3*l**5 + 2*l**5 + (2*l - 3*l + 2*l)*(2*l**4 + l**2 - l**2) - 128*l**4 - 731*l**4 - 2*l**5 - 91*l**4.\nAnswer: 2*l**5 - 950*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15491 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -i + 594, -965 = -2*i - 3*s + 228. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*f)*(-131*f**3 - 39*f - 1 + 48*f - 8*f).\nAnswer: 655*f**4 - 5*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 24 = -5*d - 5*t, -2*t + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -32*x - 5. Let q be f(-9). Let o = q + -162. Suppose -3*r + i + o - 51 = 0, -i = r - 22. What is the remainder when 45 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*j**4 - 191*j**3 + 190*j**3 - 105*j**4)*(5*j + j + 2 - 7*j)*(5 - 2 - 2).\nAnswer: 186*j**5 - 371*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 31 - 118*y - 11 + 116*y.\nAnswer: -2*y + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-5 - (-2 - 7)) + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let s(a) = 14*a - 124. What is b(s(m))?\nAnswer: -392*m**2 + 6944*m - 30752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose 4*w - 16 = k*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.79 - -3.69. Let h = 561 + -534.3. Let y = h + -24. Is d greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119258 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 5\/3 (b) -1\/45 (c) -1\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 1671 - 471. Calculate the remainder when n is divided by 19 + 16\/4 + (-3)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1540655 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5850051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3, 1, 2\/3, -1.73?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210353 and 4944?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let u = 29 + -77. Let m = u - -47.6. Which is the biggest value? (a) m (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5342989242.\nAnswer: 2, 3, 617, 1443271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 588\/185 + -2174206\/683945. Let g = j - 99805\/25879. What is the common denominator of g and -45\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24907365 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*y + 16450 = 0, l - 5127 = -2*y + 3122. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**3\/9 - 38949344*s**2\/9 - 311594944*s\/9 - 623190016\/9 = 0?\nAnswer: -4, 9737344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 74, 9, -76, -187?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7215*d*m**3 - 3877*m**3 wrt d.\nAnswer: 7215*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240127?\nAnswer: 7, 29, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-108 + 27 - -41) - (8 + -2 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/18 - (18\/(-12) - (-2)\/2). Which is the second smallest value? (a) 5 (b) 0.092 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let p = 241 + -237. Solve o = -p*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(144\/20 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 z when three letters picked without replacement from {o: 3, z: 2, j: 1, m: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 176017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112701943 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgy when four letters picked without replacement from ygdggdggd?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-28))\/((-38)\/399)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 437 = x. What is the remainder when ((-46)\/(-4) - -2)\/((-27)\/x) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*h = -672*h - 280 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 787285\nAnswer: 2\/787285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, -4\/25, -1\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12779223 and 137\/6?\nAnswer: 25558446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.83 + -0.17. Put -2\/9, c, 0.5 in descending order.\nAnswer: 0.5, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*h = -111*h + 63*h. Suppose 4*m + 3 - 11 = 0. Solve h = m*b - 0 - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 860244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1476421*d. Let n(m) = 5*m. Give n(u(b)).\nAnswer: -7382105*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*c + 14*b, 0*b - 156 = -4*c - 5*b. What is the remainder when 384 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**3\/3 - 9*c**2 + 21*c. Let v be b(-9). Suppose -4*z - 20 = -y, v*z + 4*z = -y - 12. Solve y*t + 15 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -2\/11 (b) -0.36 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(25)*-5)\/(sqrt(405) - (sqrt(405) - sqrt(405)*-3)))**2.\nAnswer: 125\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590937?\nAnswer: 3, 17, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stcstbcscptcc. What is prob of sequence spt?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 11. Let b(j) = -4*j**2 + 2*j - 4. Let g(v) = -5*v**2 + 3*v - 5. Let m(i) = p*g(i) - 7*b(i). Factor m(h).\nAnswer: -2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 + r. Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 - 2*y + 3. Let o be t(0). Let g = 18 - 13. Suppose g*w - 2 = 13. Solve u - 4*u - 21 = o*c, -4*u = -w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*u + 521, 4*u - 1552 = -3*m + 3*u. Let d = -336 + m. What are the prime factors of d?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j**3 + j**2 - 1. Let m be r(-1). Let p be -18*4*2\/m. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772928.\nAnswer: 2, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = -4*s - 6*f + f, -4*s + 5*f = -619. Let y = s + -151. Solve 14 = 4*w + 2*i, 5*w - y*i = -i + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 424, -19, -1841 in increasing order.\nAnswer: -1841, -19, -1, 0, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:36 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 2884\/16365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/(p**(-8)*p)*p)*p)\/p)\/p*p*p**(2\/19))**(3\/11) assuming p is positive.\nAnswer: p**(-393\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452752 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l**(-1\/3)*l*l)*l)\/l)\/l*l)\/l*l)\/l**(-1\/4)*(l**(-1)*l)**(-11) assuming l is positive.\nAnswer: l**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862, 861, 860, 859, 858, 857?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*u**6 + 20*l**3*u**2 - 803*l*u**6 - 55*l*u**2 wrt u?\nAnswer: -120*l**3*u**3 - 96360*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4814 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/2)\/5*-2. Suppose 0 = 4*m - 53 - 83. Let i = m + o. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8760 to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35334 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - -757722231909.\nAnswer: 757722231966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 19799038602.459.\nAnswer: 19799038602.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37404853.\nAnswer: 3989, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*4\/8 - (-14)\/(-2). What is the nearest to -3 in 15, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129 - -5?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -18*s + 18. Let m(f) = 63*f + 6*f**2 - 7*f**2 + 31 - 58*f. Let w be m(9). What are the prime factors of p(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22954 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 24 = -8*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5 + -12.5. Which is the fourth smallest value? (a) -2 (b) m (c) 0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20*d**2 - 35*d - 21. Let g(j) = 7*j**2 + 12*j + 7. Let u(m) = 17*g(m) + 6*r(m). Suppose 15 = -2*c - c. What is u(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 - n**2 + (78*n**2 + 361*n + 363*n - 721*n)*(4 + 5 + 6).\nAnswer: 1169*n**2 + 45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 19*u**6\/12 - 145*u**3\/6 - 202*u**2. What is the derivative of z(g) wrt g?\nAnswer: 570*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.361162 rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14048, -28028, -41996, -55946, -69872, -83768, -97628, -111446?\n\"Answer: t**3 - 13987*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:51 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 4. Let y be r(4). Let i be (2 - 4) + 4 - y. Suppose 4*x = i + 18. 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 prob of sequence kc when two letters picked without replacement from ekkneccznknccnknck?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3846326 = -1395*z - 3645446 for z.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*r - 20, -r + 4 = w + w. What are the prime factors of -5 - w - 5\/(5\/(-831))?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050020386 to 6 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**2 + 48 - 70*z**2 - 3*z**4 + 6*z - z + 34*z**2 + 19*z - 24*z**3 = 0 for z.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3 + 9\/2*q**2 - 6*q + 3\/5*q**5 - 9\/4*q**4 + 6. Suppose u(m) = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (40\/(-1))\/(-5). Let w = 12 + -6. Let b(d) = 3 - w - 3*d - 2 + 0. What is b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -268*t**2 - 3*t - 7. Suppose 5*q = -3*f - 17, -2*f - 3 = q - f. Let y be r(q). Let s = 7828 + y. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + (1 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 5. Let u be v(-4). Let m(o) = -o**3 + o**2 + o - 1. Let x be m(1). Put x, -3, u in descending order.\nAnswer: x, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 224 - 436 = 0. Let a be ((-5 - -3) + 1)*2. Calculate the remainder when 32 is divided by (a\/(-6))\/((-5)\/x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:10 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7650, 7565, 7480, 7395, 7310?\nAnswer: 7225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1)\/((1250625\/138)\/125).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478452 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3670*f - 216*f - 953*f = 884*f + 22892 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - 15. Let p = -95 - n. Let o = -27.3 - p. What is o rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o - 66*o = 0. Sort -2, 4, 3, o in increasing order.\nAnswer: -2, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092768 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 5}. What is prob of sequence tt?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 351, 340, 315, 270, 199, 96, -45, -230?\n\"Answer: -p**3 - p**2 - p + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*r + 3*r + 4*x, -r = -11*x + 11. Calculate the remainder when 8799 is divided by r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2*n + n**2 - n + 2*n**3 + n**3 + 4*n - 10 in the form i*n + o*n**2 + q + w*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-2)\/3 - (-13)\/52)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543933 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3318 is divided by 827?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -3*t**5\/200 + 7*t**4\/240 + t**3\/30 + 13*t**2. Factor b(z).\nAnswer: -(z - 1)*(9*z + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 - t. Suppose 4 + 2 = q. Suppose 0 = -a + 2*a - q. What is the remainder when i(2) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l + 66. What are the prime factors of c(-11)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 1. Determine m(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 16*p + 0*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by ((-16)\/10)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 + 111*d**3 - 852*d**2 - 516*d + 9360 = 0.\nAnswer: -3, 4, 10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11903 + -11804. Which is the closest to r? (a) 0 (b) 5 (c) 0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + 2*s + 5 + s. Let f = 4 - -3. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + u**5 - 2*u**4 + (-7*u**4 - 9*u**4 - u**4)*(5*u + 2*u + 0*u).\nAnswer: -118*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 3388, 7624, 13554, 21178, 30496, 41508?\nAnswer: 54214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -8, 4, -41, 349 in decreasing order.\nAnswer: 349, 7, 4, 1, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 45*v**2 - 44*v + 61. Let u(l) = -22*l**2 + 24*l - 30. Let m(w) = 5*o(w) + 11*u(w). Let f(t) = -4*t**2 + 11*t - 6. Calculate 9*f(k) - 2*m(k).\nAnswer: -2*k**2 + 11*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -3\/14, 1\/10, -70, 4 in decreasing order.\nAnswer: 4, 1\/10, -3\/14, -4\/3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9384463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 8, v: 6, q: 1}. Give prob of picking 2 v.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -88*x**2 + 265*x. Let a(k) = 26*k. Give l(a(n)).\nAnswer: -59488*n**2 + 6890*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 129\/9)\/((-14)\/42). Suppose 0 = 36*m + d - 157. Solve 3 = r - m*x + 17, 0 = r + 3*x - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**46*l**(-1)*l*(l*(l*l*l**(-1\/4)*l)\/l)\/l assuming l is positive.\nAnswer: l**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + 1 - 16*k - 193905*k**2 + 193847*k**2 + (1 - 1 + 2*k)*(-2*k - 4*k + 5*k) in the form y*k + o + t*k**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043463717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -48.4205 and 300.\nAnswer: 251.5795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 258 = 10*b. Suppose 0 = o - b + 41. Solve s - q = 0, 4*s - 4 = o*q + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8)*(9\/6 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 34. Let t be 2\/z*3\/(-3). Let s be (-40)\/(-18) - (7\/(-9) - t). Solve 3*j - s = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3963, -7818, -11673, -15528, -19383, -23238?\n\"Answer: -3855*z - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69, 274, 633, 1158, 1861, 2754, 3849?\n\"Answer: 2*l**3 + 65*l**2 - 4*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238.7 rounded to the nearest ten?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -642680 minus -0.066?\nAnswer: -642679.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 - 3*p. Let h(n) = 2*n**2 - 2*n**2 + 21*n**3 - 41*n**3 - 14*n. What is 11*f(q) - 2*h(q)?\nAnswer: -4*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) -6 (b) 5.5 (c) 210 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 45 - (-8 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:04 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/609 and (2 + (-17)\/2)*(-22)\/(1980\/(-150))?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 705. Let x = -13 - c. What are the prime factors of x?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 333, 134, -67, -270?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -311 + 423. Let g = s - 112.4. Let r = -1 + 0.9. What is the nearest to r in g, -5, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481218 + 6400482 = 93*p. Is p a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/40 - 64194\/15080. Is -5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 12. Let f be (-1 + h\/15)*-80. Let d be (18\/2)\/(6\/8). What is the greatest common factor of f and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3818*j - 750*j + 15823*j**2 - 10127*j**2 wrt j.\nAnswer: 11392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 2*a**3 - 37 + 0*a**4 + 29 as d*a + h*a**4 + u*a**3 + l + r*a**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-5)\/(-2))\/(-5). Suppose 4*f + 1 + 7 = -4*n, 4*n - 5*f - 19 = y. Which is the biggest value? (a) 1\/5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 0, -9 in decreasing order.\nAnswer: 31, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 + -42)) + (-31 - -25).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1983 divide 99062748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(-10*1)*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -35*p**4\/24 - 3*p**2. Let c(z) = 2*z**2. Give c(i(j)).\nAnswer: 2450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 - -165.\nAnswer: 164.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -7\/2*f**2 + 24*f + 836\/3*f**3 + 0. Is y(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1422 (b) -0.38 (c) 2 (d) -1 (e) -31 (f) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9563 divided by -131?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 32*i**2.\nAnswer: -4*i**2*(i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:11 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000976208 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*c**4*d**2 - 30*c**4*d + 6*c*d**2 + 175*c*d wrt c.\nAnswer: 360*c**2*d**2 - 360*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2203021203 (base 4) to base 15\nAnswer: d3009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3331516300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25144*c*h + 11960*h wrt c.\nAnswer: 25144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1684.\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 50*h - 2. Let p(k) = 4637*k. What is -p(x) - r(x)?\nAnswer: -4687*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 181 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/30 - 53*t**4\/24 - 15*t**3\/2 - 2*t**2 - 27*t. What is the smallest common multiple of u(-25) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/24*13*(-39)\/169.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - 0.53. Let a = p - 2.3. Let c = -0.2 - -0.6. What is the biggest value in a, c, 2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-42 + (-23 - -19)) - -20?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39*0.0445912\nAnswer: -1.7390568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1026375\/8 - 10392037747\/81000. Let l = -11\/125 + x. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -2 - 12) + (-1 - (-3 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/207 and 34\/2001.\nAnswer: 6003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*z - 25492 = 529*z + 446*z + 1688 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45513668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is eighty ninths of a week in minutes?\nAnswer: 89600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -153*r + 4422. Let w be o(29). Sort w, 36, -4 in descending order.\nAnswer: 36, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18034 and 176530?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 0.0277 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 24. Let f(o) = 3*o**2 + 5*o + 143. What is 6*a(u) + f(u)?\nAnswer: 3*u**2 - 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 8. Let h be b(-5). Let f be -2*(h\/(-6) + 0). Let l be (-1421)\/2 - f\/2. Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20.2 or -227.936?\nAnswer: 20.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 255. Let g(a) = -8324*a - 8. What is p(g(q))?\nAnswer: 24972*q + 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 9*y + 45 = 0. Let r = -9 + y. Solve -5*u - 4 = -4*s - r, 3 = 3*s + 5*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21556, -43493, -65430, -87367, -109304, -131241?\n\"Answer: -21937*r + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 67*c**2 + 6*c + 7. Let g(m) = -6*m**3 + 100*m**2 + 9*m + 10. Calculate -5*g(i) + 7*o(i).\nAnswer: 2*i**3 - 31*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 1214 = 1160. Which is the closest to k? (a) 12 (b) -15 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -49860 (b) 1 (c) 2\/5 (d) -1\/49 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202 + 357. List the prime factors of z.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*f + 25 = -3*f, 2*r - 2 = 4*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/105 + b**5\/35 + 11*b**4\/42 - 4*b**3\/7 - 36*b**2\/7 - 167*b. Factor y(q).\nAnswer: -2*(q - 3)**2*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*s + 504*s - 2546*s + 494*s + 535*s + 510*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p - 5*a, a = p + 2 - 0. Let w be (-3 - -6)\/3 - p. Suppose -w*f = -2*m - f + 8, 0 = -4*m + 3*f + 28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k + 15. Let b(t) = 2*t - 8. Give 3*a(d) + 5*b(d).\nAnswer: -2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i - i)*(-4 + 3 + 3) - 3*i**2 - i**2 + 6*i**2 + 3 + i**2 - 3 + (2*i + i - 5*i)*(-6*i + 4*i - i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4317 is divided by 287.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + -2.1. Let u = w + 3.4. What is the closest to 0 in -5, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ood when three letters picked without replacement from {n: 3, o: 3, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421, -829, -1237, -1645, -2053?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 3) to base 12\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 - 37*z + 37*z + 3*z**2 to n*z**2 + q*z + y*z**3 + w and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 5*d + 8. Determine y(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 r when three letters picked without replacement from {s: 2, u: 2, d: 2, r: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4 + 1. Suppose h + 4*x = -20, -5*x - 17 = h + 5. Let t = -10 - h. Is u equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27192310 to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 24, 338, -1.5, -4?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(147) + 3 + -2 + (sqrt(147) - sqrt(147)*1))**2 - ((4*sqrt(147) + -4 + sqrt(147))**2 + 1)).\nAnswer: -1470*sqrt(3) + 17720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 3617*a - 5430307*a**3 + 5430306*a**3 - 4*a**4 + 2*a**4 as i*a**3 + u + y*a**2 + k*a + x*a**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k - 2 + 0 - 2. Let r be v(6). Suppose -r*o - 60 = -7*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 244, -2\/3, 3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:34 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25118 - 2561 = -406*r - 1488*r - 5853 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 8*w**2 - w - 8. Let s = 4 - 12. Let z be l(s). Suppose -3*y + 12 = -z*y, 13 = -t + 3*y. Let k(d) = -d + 1. What is k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 782813 = -370*o + 61*o. Which is smaller: o or 2502?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/6*(-36)\/20. Let o = h + -3. Suppose 45 = 4*k - 5*j, o*k + 0*j = 3*j + 30. Which is the smallest value? (a) -2\/19 (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofzzozofzfzffzf. Give prob of picking 4 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3456 - 75503?\nAnswer: -78959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25180 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-13)\/325*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 27 - 7. Let l(v) = v**2 - 13*v + 28. Let w be l(o). Let j(m) = -2*m**3 + m**2 - 3*m - 4. What are the prime factors of j(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 b when three letters picked without replacement from {v: 3, p: 2, b: 2, g: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let q(h) = h - 9. Let u = 18 + -19. Let z(r) = u*q(r) + 3*n(r). Let b be z(4). Solve b = p + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -19. Find s, given that -4\/5*s**o + 1\/5 + 3\/5*s = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -355 or -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - s - 2*s + 21 = -4*b + 2*s, 0 = b + 94*s + 99 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025365 is divided by 273.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83.8737041 and -13093.\nAnswer: -13176.8737041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 53*x - 192. Let c = -9668 - -9717. What is g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18987, -18988, -18989, -18990, -18991, -18992?\n\"Answer: -j - 18986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeweewwewewe. Give prob of sequence ewww.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -1168791.\nAnswer: 61\/1168791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/((-3)\/(-18)). Are 6 and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 6*n + 4*n - 62 - 2*n**3 + 60 to the form t + j*n + v*n**3 + k*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4843, 19391, 43621, 77521, 121079, 174283, 237121, 309581?\n\"Answer: -2*v**3 + 4853*v**2 + 3*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 203*r**4 - 10*r - 8?\nAnswer: 20*r**3 - 2436*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-75 - (-2 + -17) - 19).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v - 1. Let a(m) = -3*m**2 - 5*m + 3. Suppose -40 - 40 = 40*i. Give i*n(p) - a(p).\nAnswer: p**2 + 7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8635*c**2*y - 12*c*y + 4587*y - 11 with respect to c.\nAnswer: 17270*c*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507 - -717. Let a = -74518.374814 + 74308.375. Let z = a + l. What is z rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 790760.8l?\nAnswer: 790760800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 1 - m + 3 - 1 to the form u + t*m + j*m**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31354021 and 0.01.\nAnswer: 313540.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 + -91. Suppose -h = -4*z - 5*z. Suppose -z*q = -5*u - 2518, -10*u - 3777 = -3*q - 9*u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 2, 1, 0, -1, -2?\n\"Answer: -g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2037915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from bieqpepppqei?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12.3. Let v = s + -1.649. What is v rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2*n**3 + 45883*g**2*n**2 + g*n - 80*n**3 - 294*n**2 wrt g?\nAnswer: 2*g*n**3 + 91766*g*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2163, -4327, -6491?\nAnswer: -8655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16710, -16711, -16712, -16713, -16714, -16715?\nAnswer: -16716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2642, 5, -4, -5 in decreasing order.\nAnswer: 2642, 5, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u - 33. Let f be n(25). Let j = f + 237. Solve 5*p - 4*m - 1 = 0, j*p - 2*m - 1 - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 496 = -176*h + 121. Let w = -1 + 6. Which is the closest to -1? (a) w (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -520 - -533. Is r not equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 - 15*k**4 + 369*k**3\/4 - 267*k**2\/2 + 291*k\/4 - 27\/2 = 0.\nAnswer: -9, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0215447229 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4704095 and 7854253?\nAnswer: 10571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10446, -20803, -31060, -41223, -51298, -61291, -71208?\n\"Answer: -z**3 + 56*z**2 - 10518*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 13*k - 12. Let p be r(12). Suppose p = 11*m - 3*m - 48. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 14 = -11*d. Suppose -2*v = 0, 5*i = 4*v + d - 27. Sort 4, -3, i in decreasing order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008545285 to six dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (21*b - 10*b + 1 + 0)*(-8 - 3 + 4).\nAnswer: -77*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaajajajjaajajaaaaa. What is prob of picking 1 j and 3 a?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 41*v**3 - 2*v**2 + 4*v - 3. Let i be l(1). What is the greatest common divisor of 160 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beegpbbprggbbpbgtb. Give prob of picking 2 p and 1 t.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1534602 and 35\/66?\nAnswer: 16880622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 6) to base 16.\nAnswer: da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180452553?\nAnswer: 3, 117794539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 3*p + 7*p. Suppose -44*q = -43*q. Give w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 8. Let q(g) be the first derivative of -3*g**2\/2 + 5*g - 3808. Give -8*q(l) + 5*t(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 2, q: 1, j: 10}. What is prob of sequence rrn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 5*s**2 - 62*s - 114. Determine j(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woogwwkgkggwkgw. What is prob of sequence wkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*v + 113. Suppose -2*a + 2 = -4. Suppose -a*g + 261 = v. Calculate the remainder when g is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 41 = -27. Solve -2*r + 7 = -b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 18, -8, -21, -1, 102 in ascending order.\nAnswer: -21, -8, -3, -1, 2, 18, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 - (-8)\/2. Suppose r - 19 = -0*r - 5*u, -2*r - 4*u = -20. What is the third derivative of -3*g**2 + t*g + 8*g**r - 4*g - 2*g**4 wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r + 119*r = 80*r + 895671. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10061.19 to the nearest 10.\nAnswer: -10060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311010 (base 5) to base 4.\nAnswer: 22012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/562 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -22, 29195, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 0. Let h be (2\/v)\/((-68)\/12). Let d be (3 + 9)\/4 - 3. Are h and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - 2*g**2 + 0*g**2 + (g**2 + 3*g - 3*g)*(4 - 1 - 2))*(-121*g**2 + 53*g**2 + 23*g**2 + (-3*g + g + 4*g)*(-2 + 5 - 2)*(-4 + 4 - g)).\nAnswer: 235*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67195.6ug to grams.\nAnswer: 0.0671956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4691.7 + 4692. Which is the biggest value? (a) s (b) 0.4 (c) -0.748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25316072 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbc when three letters picked without replacement from {w: 5, b: 4, c: 10}?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.51212 to one dp.\nAnswer: -366.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = -3*p, 16*h - 12*h + 4 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 9*m - 71. Calculate the greatest common divisor of m and 2899.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3711161234 to the nearest one hundred thousand.\nAnswer: -3711200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 306*z**2 + 2199*z - 2549. Calculate o(313).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/35*294\/(-84)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2) + 5*-2*sqrt(2) - (3 + sqrt(32))))**2.\nAnswer: 2808*sqrt(2) + 12492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/726, 3?\nAnswer: -1\/726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - r**3 - 6*r - 4*r**3.\nAnswer: -8*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3125\/10 - 6)\/(-1). Let r = 307 + z. Let -r*c**2 - 1\/4*c**3 + 1\/4*c + 1\/2 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t - 25. Let r be (-2)\/t + 123\/5. Let z = 36 - r. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p, -20*p + 12 = 2*j - 22*p. Calculate the greatest common factor of j and 1986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7289, -7325, -7363, -7403, -7445, -7489?\n\"Answer: -z**2 - 33*z - 7255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 8*q + 5460. Suppose 0*s = -7*s + q. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and 61878?\nAnswer: 160882.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9655665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 - 10)*(6*t**3 + 5*t**4 - 6*t**3) in the form n*t**4 + c + o*t**2 + q*t + y*t**3 and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmprreeepep. Give prob of picking 2 p and 2 e.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1244 - 1244. Solve -2*u + 2*l - 4 = b, -4*u + 5*l - 2*l - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361958 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 + 213. Let n = 11 + -7. Which is the second smallest value? (a) x (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 - 1247*o**2 + 1247*o**2 + 2*o**3 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496, -4, -138, 2, 1, 0.\nAnswer: -496, -138, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 4. Let s be x(2). Suppose 0 = 3*p + 2*z - 138, -s*p - 25 = -4*z - 133. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*b - 16 = 0, 3*x - b + 4 = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1319 - 383. Let r = -936 + k. Which is the second smallest value? (a) -10 (b) -8 (c) -3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 69 = 351. Let c(h) = -4*h**2 - h + 3. Let r be c(-4). Let i = 93 + r. Calculate the highest common divisor of k and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 26, 117, 286, 557, 954?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 28937 + 22551. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -138*b + 6050. What is p(43)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 112 = 4*n, -6*d + 4*d = 4*n - 74. Let i = d - 7. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.803 to one decimal place.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 73 - 65 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -8. Sort 2, -4, v in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 22*y**2 - 2 + 4 + 9*y**2.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from uhhkhhkbhkbukikkh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15379 = -5*n + 86322, -5*d = n - 14148. What are the prime factors of n?\nAnswer: 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + h - 0 - 27, -q + h = -3. Suppose 0 = -t + 5*u + 7, -q*t + 2*t + 10 = -2*u. Let o(z) = -z. Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuuuunkunukn. What is prob of picking 2 n and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -19104252.\nAnswer: 382085040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n + 10 = 0. Suppose -n*o + 6 = -0*o. Suppose 0*a + 609 = o*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 + 183*u**2\/2 - 1716*u + 9126.\nAnswer: -3*(u - 26)**2*(u - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(10)\/sqrt(2)))\/sqrt(1440))**2*-2.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 45*d**2\/4 + 61*d\/2 + 42.\nAnswer: (d - 42)*(d - 4)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 103, 180, 255, 328, 399, 468?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -0.3 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 4*y - 3*y)*(-y**3 - 24*y**3 - 23*y**3) + (0*y + y - 3*y)*(-4*y**3 + 2*y**3 + 3*y**3) + (9*y**2 + y**2 - 3*y**2)*(y**2 + y**2 - 4*y**2).\nAnswer: 80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 10. Calculate the lowest common multiple of 7 and k(-18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1308*q**2 + 2*q - 1. Let p be u(1). Suppose 0 = v + 1413 + p. Is 12\/16 + v\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.20909 rounded to the nearest integer?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/18)\/(27\/(-72)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 8. Let k = 16 - 22. Let g(a) be the second derivative of a**2\/2 + 104*a. Determine k*g(o) - v(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6005052.2 to the nearest ten thousand.\nAnswer: 6010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -3*z + 1\/4*z**4 - 3*z**2 + 5 + 4\/3*z**3. Let d be a(-5). Solve r = -r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + 0.28. Let u = -0.27 + 0.07. Let f = 4.89 - -0.11. Which is the third smallest value? (a) d (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 23 = -3*r - 4*k, 3*r - 7 = 2*k. Let j be (1*1\/r)\/(-1). Let m(g) = 3*g + 4. Let q be m(0). Which is the nearest to 2\/7? (a) j (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/38, 10, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 716*o + 5133. Is r(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235376 = -3*p + 23117. Let f be (3\/1 + p)\/((-3)\/(-120)). Round f to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g = -4*n + 74*g + 84, 24 = -3*g. Let s(t) be the third derivative of t**5\/60 - 11*t**4\/24 - 5*t**3\/3 - t**2. Determine s(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5 - 4)*(-2*p + p - p)*((3*p - p - 3*p)*(2 - 3 - 1) + p - 3 + 3 - p + 2*p + 0*p) to a + b*p**2 + i*p and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 10395 + 1269. Suppose -969*m - 291 = -l*m. What is the remainder when m is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -50\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648818, 648815, 648812, 648809?\nAnswer: 648806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 559*k + 26357. Determine d(-52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0521 - 0.0219. Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*0.01.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 31*c - 63. Let u be n(-2). Let o(b) = -2*b + 26. Give o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.6 - -336.6. Let n = s + -331. Let g = -0.1 - -0.6. Which is the closest to 0? (a) g (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270*b**2*t**2 - 3*b**2*t + 32*b**2 - b*t**2 - 111*b*t - 2*b - 136*t**2 wrt b?\nAnswer: 540*t**2 - 6*t + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 - 6*k + 8. Let a = 8 + -2. What are the prime factors of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4 + 40578*p**3 + 935031*p**2 - 2032350*p = 0?\nAnswer: -25, 0, 2, 13549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/4*-10)\/2. Let t(s) be the third derivative of 1\/90*s**l - s**2 + 1\/9*s**3 + 0 + 0*s - 1\/18*s**4. Let t(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -150 - 72*i + 70*i - 287. Let g(n) = -9*n. Calculate g(z(p)).\nAnswer: 18*p + 3933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 1497 + 965. Let j = d - 2399\/2. Factor 1\/2*l**3 + 81\/2 + j*l - 17\/2*l**2.\nAnswer: (l - 9)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6)*(2*j + 2 - 2) + 34 - 8 - 9 - 15 - 64*j.\nAnswer: -60*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (784\/(-1176))\/(1*106*50\/(-600))\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1002111110121?\nAnswer: 1002111110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 > -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 6*o - 4. Let n = 5 - 1. Suppose 5*r = n*u - 48, r + 10 = 2*u + 2*r. Let t be p(u). Let z(g) = -g**3 + 5*g**2 - 3*g - 3. Calculate z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695538851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*n - 16 = 0, 8*n + 23 = -r + 3*n. Sort -0.3, r, 2\/3, -2 in ascending order.\nAnswer: -2, -0.3, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*i + 58, 0*i - 3*i - 95 = -5*z. Let a = z + -14. What is the second smallest value in a, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 - 4800*x**2. Let c(w) = -7495*w**2. Determine m(c(t)).\nAnswer: 56175025*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158 + 309. Let k = -151.1 + v. Is k at most as big as 6.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -9*i**6\/80 - 19*i**5\/10 - 95*i**4\/16 - 7*i**3 + 1352*i**2. Let m(j) = 0. Calculate j.\nAnswer: -7, -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5820280 or -5820285?\nAnswer: -5820280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.27 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 14*k + 3*k**2 - 9 + 5*k. Is l(12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 890247*y**3 - 22257909*y**2 + 41845065*y - 20477406 = 0 for y.\nAnswer: -296774, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i**2 + 34*i + 10. Let c be o(8). Let y = 861 + c. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15808 and 18297.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 3*m**5\/100 + 21*m**4\/20 - 9*m**3\/2 + 69*m**2\/10 - 193*m. Factor n(t).\nAnswer: 3*(t - 1)**2*(t + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 341, 345, 349?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, -124, -10, -1, 0 in increasing order.\nAnswer: -124, -29, -10, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 54 = -126. What is the remainder when 861 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 3. Let b(l) = -13*l + 13. Let g(i) = 2*b(i) + 9*o(i). Suppose 3 = -2*r + 7. What is g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 6 + 6)*(-2*s + 3*s + 2*s)*(1 - 4 + 2).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:44 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 482427 and 221793?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from {i: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2879184187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 14 = -5*l + 5*w, 35 = -4*l - w. What is the smallest common multiple of 4 and 2*(-9)\/6 - l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/216)\/(18\/2)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*c - 37*c - 198 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*y - 21. Let t = y + 4. What is the units digit of (-12)\/(t - -1) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1555, 0.5, 5 in ascending order.\nAnswer: -1555, 0.5, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 1578 + 153 - 344 + 1155)*(4*q**3 - q**5 - 4*q**3).\nAnswer: -2442*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122439 rounded to 5 decimal places?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 9*h - 323. Solve -n = -h*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let v be j(-2). Which is the nearest to -2? (a) 3 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44768 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6734, -6722, -6710, -6698, -6686?\nAnswer: -6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w - 46. What is the smallest common multiple of c(8) and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -59 - (727 - 695)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 555273768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 54103022?\nAnswer: -54103031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21940 - 14098. Suppose -x = -1190*j + 1184*j. List the prime factors of j.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51228? (a) -2\/11 (b) 0 (c) -2\/7 (d) -2 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 537 - 537.1. Is u < 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, -24, 22, 23 in increasing order.\nAnswer: -24, -5, -2, 3, 22, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**5 - 45670*f**4 + 103323740*f**3 + 4402272920*f**2 + 41722904960*f - 101880760960 = 0.\nAnswer: -22, 2, 4588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.63267l in millilitres?\nAnswer: 98632.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1569, -1662, -1817, -2034, -2313, -2654, -3057?\n\"Answer: -31*m**2 - 1538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + 92. Let y = -28 + t. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13108321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*i + 7*i - 13*i)*(0 + 5 - 4)*(2*i + 7 - 7).\nAnswer: -70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6*(-60 - 5). Find the second derivative of -32*n**4 + 10*n**2 + n - 32*n**4 - 16 + d*n**4 wrt n.\nAnswer: 12*n**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -9*r**5\/7 + 87*r**4\/7 + 246*r**3\/7 + 72*r**2\/7 = 0?\nAnswer: -2, -1\/3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.027 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 70. Suppose -4*g + 273 + o = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85209370?\nAnswer: 2, 5, 179, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143635, 1\/4, -2\/1307 in ascending order.\nAnswer: -2\/1307, 1\/4, 143635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79798 is divided by 26589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 - j + 3. Calculate the smallest common multiple of 22 and x(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Suppose 7*p - 15 + 8 = 0. Let u be (-5)\/((-10)\/14)*p. Let s(i) = -12*i - i + u*i. What is s(h(v))?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/17 + 732*c**2\/17 - 89304*c\/17 + 3631696\/17.\nAnswer: -2*(c - 122)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 4, y: 3}. What is prob of sequence yz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**3 - 109*u**2 + 140*u - 1104. Calculate a(8).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676327, -1352589, -2028851, -2705113, -3381375?\nAnswer: -4057637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 * -908352\nAnswer: -144427.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5\/2 - 3925*w**4\/2 - 19485*w**3\/2 + 11765*w**2\/2 + 25325*w - 19500 = 0. Calculate w.\nAnswer: -780, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 26095.\nAnswer: 313140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyeee. What is prob of sequence yey?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5720\/31 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.56? (a) 1 (b) -5 (c) -1 (d) -2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d**2 - 401*d - 42. Let j be f(15). Solve 136*x - 142*x - j = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 25*n - 5*n**4 - 25*n)*(628*n + 1276*n - 1017*n).\nAnswer: -4435*n**5 + 1774*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 3. Let p be x(-8). Suppose 3*v + 2*r = 4*v + 8, -5*r + p = 2*v. Let i(f) = 14 - 34 - f**v + 10 + 3*f + 15. What is i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(-1)\/4. Let d = -97 - -184. Let s = -87 + d. Do s and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 2944*t**2 - 1080442*t - 2172676.\nAnswer: -2*(t - 737)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1270218\/1499 or 846?\nAnswer: 1270218\/1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16 + 7*j - 592*j**3 + 99*j**3 - 266*j**3 + 1 wrt j?\nAnswer: -4554*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*(x\/(x*x\/(x*x**(-2\/5))*x))\/x)\/x*x*x*x)**(-46)\/(x**(1\/3))**14)**(21\/4))**(16\/3) assuming x is positive.\nAnswer: x**(-32872\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 36. Let x(l) = 2*l - 8. Let f(u) = 2*u - 8. Let a(m) = -6*f(m) + 5*x(m). Is a(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 47, 81, 139, 227, 351?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 18 - (1436 + -1487).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1464 - 1461. What is the closest to -1\/2 in -2, u, -0.4, -94?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28706595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1984512 and 330752.\nAnswer: 1984512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 780*l. Let c(y) = -5*y**2 + 12*y - 4. Let o(d) = 4*d**2 - 9*d + 3. Let k(j) = -3*c(j) - 4*o(j). What is k(t(u))?\nAnswer: -608400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5128 + -20?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 - 8 = 0. Suppose v + 10 = 5*f. Suppose 0*n = f*n - 80. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-645)*35*(-48)\/1680?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 5*m + 2 + 3)*(1003 - 1003 - 105*m) to the form y + g*m**2 + t*m and give t.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 508\/(-22) + 17 + (-43)\/(-473)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -50*c**3 - 7*c**2 + 5*c + 5. Let n(m) = -25*m**3 - 4*m**2 + 3*m + 3. Give 3*g(b) - 5*n(b).\nAnswer: -25*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 + 129 + 153)*(-20*v**2 + 20*v**2 - 131*v**4).\nAnswer: 10611*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/4*552\/(-9). Let f = m + -256. Is f a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2592) + sqrt(2592))\/(sqrt(6) + sqrt(24)*1) + (sqrt(825) + -2*sqrt(825))\/(sqrt(275) - sqrt(275)*-2))**2*6.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j + 2*j)*(2*j + 0*j + 15*j)*(12 - 5 + 12).\nAnswer: 323*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 45*l**4\/4 - 182*l**3\/3 - l**2\/2 - 251*l. What is the second derivative of x(z) wrt z?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236805987?\nAnswer: 3, 11, 19, 377681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 6\/7, -1, -1\/2, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1972 and -0.1?\nAnswer: 0.2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(-1*22\/(176\/12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1300 (base 6) to base 8\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.5259 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-39 + (24 - 2) - -5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 46 + 10. Solve -3*y - c = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -83, 2?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -110*z**3 - 5*z**2 - 3. Let s(j) = j**3 + j**2 + 1. What is -g(a) - 5*s(a)?\nAnswer: 105*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61694192.\nAnswer: 2, 7, 550841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 6*g - 5. Let x be 1*16\/(4\/(-1)). Let u be f(x). Suppose u*a - 462 = -3*c, 7*c - 606 = 3*c - 2*a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332100 a multiple of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*g + 30 = -2*a, -4*g - 8 = 0. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -60, -185, -434, -849?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effeewewff. What is prob of picking 2 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/35100 and 28\/62595.\nAnswer: 3755700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 3, w: 8, i: 3}. What is prob of picking 3 w and 1 i?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 894604 and 894602 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206218 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593986*w**2 - 593877*w**2 + 1187866*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Let t be (-4)\/c + (-8)\/(-12). Differentiate g + t - 1 - 3*g + 3*g wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107866 rounded to six decimal places?\nAnswer: -0.001079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392\/448)\/((-420)\/(-144))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 - a - 1. Let t be -1 + (-12)\/(4 - 1). Is n(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -537*d**2*r**3 + 2*d**2 + d*r**3 - 19*d*r**2 + 12*r**3 wrt d.\nAnswer: -1074*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14684775 and 14525?\nAnswer: 14684775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*j + 6 = -2*j, -5*u - 24 = -4*j. Suppose 4*l + 3 = -4*k - 5, 8 = -4*k - 3*l. Let o = k - u. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -3*o - 17*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7585 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.22 - -7.26. Which is the second smallest value? (a) p (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427953 is divided by 25173?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t - 1. Let w(j) = 4*j**3 - 10*j + 6. Let z(p) = 5*c(p) + w(p). Let i = 3 + -2. What is z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (1 - 1)) + 19 + -16. Suppose -4*s = 4*d - 68, -3*s + 47 = b*d - d. Calculate the greatest common divisor of s and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/12 + 3\/12)*0. Suppose 2*b - 8 = -x, m*x - 71 = -4*x + 5*b. Solve -c - 3*r - x = -3*c, -2*r = -3*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 54 - 84)*(-3*x**2 + x**4 + 3*x**2) + 2*x**4 - 2*x**4 + x**4.\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 23. Suppose 4*u + g = -1, -2*g + 0 = f*u + 2. Let v(b) be the first derivative of -b**3\/3 - b**2\/2 - 8*b + 1. Determine v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39 - -33276631620\nAnswer: 33276631659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 3. Let y = -7 + 59. Suppose -p + 3*f - y = -3*p, 0 = 3*p + h*f - 80. Calculate the remainder when 38 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12579*w**2 + 9698*w + 9701*w - 19399*w)*(4*w - 1 - 6*w + 2) to o*w + l*w**2 + m + i*w**3 and give l.\nAnswer: 12579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 6. Suppose -3*f = -16 + 13. Let s be f*1\/((-2)\/6). Let w(z) = 2*z - 5. Give s*t(c) + 4*w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17196754, 17196753, 17196752, 17196751, 17196750, 17196749?\n\"Answer: -p + 17196755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 27. Let n be x(11). Solve 2*s + 14 = -n*d, d = 3*s + 2*d + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 0 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -718, -427, 60, 743, 1622, 2697, 3968?\n\"Answer: 98*c**2 - 3*c - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 11*s**2 - s + 15. Let m = 4 + 7. Let h be g(m). Calculate the greatest common divisor of h and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277300, 277383, 277466, 277549, 277632?\nAnswer: 277715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7217.407 times 0.26?\nAnswer: 1876.52582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2463 + 701?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/9 + 122*k**2\/9 - 40*k\/3 = 0.\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 842 - 838. Let w be (775\/50)\/(k\/168). Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-14 + (14 - -18))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5*(0\/5 + 5). Let o(z) = 2*z**3 - 3*z**2 - z + 2. Calculate o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Let r be b + 4\/(-4)*-1. Let o(k) be the third derivative of -k**5\/60 + k**4\/6 - k**3\/2 + k**2. What is o(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-25)\/(-9). Let u = 6 - k. Let i be -2 + u + (-2 - -2). Is -1\/6 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -30*a**2 + 2539*a - 11952. Calculate x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (5 + 1)*-1. Let j = 5 - 1. Put -12, j, p in increasing order.\nAnswer: -12, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 10*t - 11. Let g be u(-9). Suppose -2*j + 18 = -0*s + 2*s, -2*s + 30 = -j. Suppose -s*o + 0*o - 13 = 0. Sort o, 5, g in ascending order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, x: 1, b: 3, r: 4}. Give prob of sequence rxcc.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162290459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2253 - 2196. What is the remainder when 2218 is divided by h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13040235 and 2925.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -5\/2053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-6) - ((-187)\/(-11) + -11 - 10).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.9 + -42. Let f = -14 - -41\/3. Let j be 2\/4 - (1 + -1). Which is the closest to n? (a) f (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7924 + 1.2076. What is the smallest value in 1\/5, 19, 0.6, b, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-11) + 168\/(-44). Let f = -6 - y. Let u(t) = -104*t**3 - 2*t**2 + 2*t + 1. Is u(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -3, -22, 3 in descending order.\nAnswer: 24, 4, 3, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81385, 81406, 81429, 81454, 81481, 81510, 81541?\n\"Answer: s**2 + 18*s + 81366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*(-4)\/6*-9. Suppose -2*l + a*b = -7*l + 14, l = 3*b + 18. Solve r + 5 = l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + 5*10. Suppose 19 - k = -5*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/248117 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -35. Suppose 3*a = -5*p + 110, -2*a - 17 = b*p - 65. Solve -5*c = 3*h + 27, 0 = -4*h - c - 0*c - p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311532188.5 rounded to the nearest 1000000?\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y. Let f(i) be the first derivative of i**2\/2 - 57*i + 1206. Give f(s(l)).\nAnswer: -14*l - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -1938, -4581, -8282, -13041, -18858, -25733?\nAnswer: -33666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -59. What is the fourth biggest value in 2\/5, m, 0.5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:15 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160319 is divided by 145.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from mtmi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3689459033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 812*d - 418*d + 2 + 11*d**2 - 384*d + 6*d**2 to the form u + y*d + p*d**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -862*a + 6014. Calculate d(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000235396 rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141 - 14?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/12 + (-6)\/36. Let a be t\/(-4) - (-33)\/12. Suppose d = -3*g + 27, -a*g + 4 = -11. Solve 2*i - 3*i - d = -3*m, 0 = 2*m - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 15. Let b be 1\/(-2) - 3\/j. Calculate the common denominator of -45\/2 and -3 - b - (-3)\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -5*r - 12. Find the third derivative of 6*d**2 + 5*d**3 - 3*d**r - d**2 - 5*d**3 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**4*v - 2*g**4*w - 3*g**3*v + 2*g**3*w + g**2*v*w + 10*g**2*w - 2*v*w + w wrt g?\nAnswer: 120*g*v - 48*g*w - 18*v + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -21. Let b(d) be the first derivative of -2\/3*d**c + 0*d**2 + 0*d + 5. Let r(k) = 15*k. Calculate r(b(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*i - 6*i + 12*i)*(-2 - 4 + 5 + (-1 + 2 + 1)*(0 + 0 - 1) + (-3 + 2 - 2)*(1 - 1 + 3)).\nAnswer: 372*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(3\/(-78)*2). Let a(d) = -119*d - 19. Let y be a(-1). Let l = y + q. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.3, 109, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 947, 1623, 2323, 3059, 3843?\n\"Answer: 2*d**3 + 662*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c (base 14) in base 16?\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23 + -21 - (4 - -2). What is the third smallest value in j, -235, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 + (-106)\/630. Let o = -68.7 + 67.7. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 2. Let t(r) = -3067 + 6168 - 58*r - 3101. What is t(u(w))?\nAnswer: 116*w**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 9*h - 31. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16615, -16618, -16623, -16630?\n\"Answer: -a**2 - 16614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 39. Let l = -27 - g. What is the lowest common multiple of l and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 28 = -3. Is -4\/17 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 124944562 from 0.28.\nAnswer: -124944561.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 97, -461, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, -453, -680, -907, -1134?\n\"Answer: -227*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -106. Find the common denominator of 4\/(8\/51) + 0 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(931)*-2 + 3 - sqrt(931) - ((sqrt(931) - 2*sqrt(931)) + 4 - sqrt(931))))**2*2*5.\nAnswer: 700*sqrt(19) + 9560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/12885?\nAnswer: 1\/12885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1893, -1925, -1977, -2061, -2189?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {v: 2, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*-216\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8428)\/140 + 3 + -1*2\/(-10).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/3871450 and -103\/330?\nAnswer: 11614350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85751, -85748, -85745, -85742, -85739, -85736?\nAnswer: -85733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 24 - (982 + -960).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(611 + -641).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323547 rounded to the nearest one thousand?\nAnswer: 324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 268, 454, 658, 886?\n\"Answer: y**3 + 167*y - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-6\/5)\/s))\/(s\/(s*s**(-12)\/s)) assuming s is positive.\nAnswer: s**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 2*u + 5. Let j(c) = 364*c**2 - 47*c - 10. Let i(z) = j(z) + 2*l(z). What is the second derivative of i(k) wrt k?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3895*m = 3859*m. Suppose 4*y - 4*v = 40 + 44, -v + 123 = 5*y. Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3295.3753 - 64.9053. Let r = 3215.47056 - n. Let f = r - -15. Round f to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.09+0.11487\nAnswer: -6.97513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 107*b**6\/40 - b**5\/60 + b**4\/24 - 8*b**2. Let r be c(1). Is (-5)\/10 + r\/6 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 6) to base 5.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 5*i. Let u(y) = 3*y**2 + 8*y. Let n(j) = -8*d(j) + 5*u(j). Let m = 3038 - 3040. Give n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -26987?\nAnswer: -512753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 7 + (-18)\/6. Let i be (1\/b)\/(5\/30). Solve i*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 483 - 477 + 7*h - 6*h. Let i(f) = -2*f**2. Give l(i(w)).\nAnswer: -2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -44*l**2 + 698*l + 22. Let w(k) = 14*k**2 - 218*k - 7. Let z(q) = 5*h(q) + 16*w(q). Let n(x) = -3*x**2 - x + 1. Determine -5*n(m) - 4*z(m).\nAnswer: -m**2 - 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8.4361 * 0.05\nAnswer: 0.421805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16137 divided by 1?\nAnswer: -16137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*d**2 - 2*d - 22*d**2 + 1 + 16*d**4 - 18*d**4 in the form s*d**3 + k*d**4 + w*d + g + m*d**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523 + 601. Find the second derivative of -2*u + 28530*u**2 - t - 28478*u**2 + 29 wrt u.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/99883 and 34\/3255.\nAnswer: 46445595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*b**3*f**3 + 52612*b**3*f**2 - b**2 + 3987*b*f**3 + 2*b*f - 142*b + f**3 wrt b?\nAnswer: 168*f**3 + 315672*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/2655 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five quarters of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -16164, 0.3, 1 in ascending order.\nAnswer: -16164, -5, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -260*d**2 - 8319*d + 39. Calculate s(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*u = 132*u - 71. Suppose 3*q = 131 - u. What is the highest common factor of q and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*y + 407 - 1595 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56139 to 3 dps.\nAnswer: -0.561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 4) in base 15?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 23*b + 6. Let h(u) = -u**2 - 8*u - 2. Calculate 8*h(a) + 3*x(a).\nAnswer: a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 2, y: 1}. What is prob of sequence cc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-8) + 6)*-12. Suppose -13*v + 8 + m = 0. Put v, 13, 1 in decreasing order.\nAnswer: 13, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 16*i**2 - 21*i + 15. Determine s(17).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(4\/4))\/2. Let p(t) be the third derivative of -1\/2*t**3 + 1\/60*t**5 + 0 + f*t**4 + 2*t**2 + 0*t. Give p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4977641 is divided by 457.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -93928419\nAnswer: -16\/93928419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102.7 + -102.6. Let r be 0 - (6\/(-8) - 0). What is the nearest to y in 2\/7, r, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8666768 divided by 4?\nAnswer: -2166692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255, 253, 251, 249?\n\"Answer: -2*r + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**2 + 2*u**2 - 3*u**2)*(14*u + 126 - 126)*(-9*u + 12*u + 8*u)*(15 - 45 + 1) to g + n*u**2 + y*u**3 + d*u**4 + s*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-55)*160\/(-448)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22314 (base 5) in base 13?\nAnswer: -94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 0*l + 4*t, l + 4*t = 10. Let s(r) = -r**2 + 12*r - 11. Let k be s(10). Suppose -k*z + 9*z + 3*z**l = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let z(u) = 7*u + 11. Let n(p) = -2*p - 3. Let x(q) = 22*n(q) + 6*z(q). Determine x(t(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 657*c**2 + 5993*c - 27. What is z(9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -67, 3, -78 in descending order.\nAnswer: 3, 0, -67, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1929 = -2*j, 0 = -2*i + 9 + 1. List the prime factors of j - (10\/(-5) - -9).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -21910?\nAnswer: 21910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*f**4 - 1269*f**3\/5 + 1236*f**2\/5 + 44*f\/5.\nAnswer: f*(f - 2)**2*(320*f + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -7, -21, -51, -103, -183, -297, -451?\n\"Answer: -q**3 + q**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -18*u - 12. Let l = 104 + 4. Suppose 0 = -o - u*o + l. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z - 86. Let u be y(-9). Suppose -u*q + 34 = 5*k, 0 = -q + 4*k + 19 - 0. Let g(n) be the second derivative of n**3\/6 - 9*n**2\/2 - n. Give g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -8 + (1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -3b1c452?\nAnswer: 3b1c452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r - 2. Give a(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.02 - 0.02. Let d = 1.96 - b. Let v = -888 - -4434\/5. What is the third biggest value in v, 1, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 110507.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j - 9*j + 5 - 7*j. Let t be z(9). Let m = t + 55. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10*2*-25. Solve 0 = 5*q - 5 - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 95*t**7\/42 + 7*t**6\/120 + 586*t**5\/15 + t**2 + t + 678. Find the third derivative of f(l) wrt l.\nAnswer: 11400*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95556 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * 3621743.\nAnswer: -7605660.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z - 60 = 0. Suppose 4*w - 3 = 5*m, -4*w - 3*m - m = -z. Let v(k) = 2 - 4*k**2 + 4*k**2 - k**3 + w*k - 3*k**2. Determine v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**3 + 2*g**2 + g + 2. Let m be c(3). Let h be (-3)\/(-5)*(7 - m). Let s = h + -138. What is the third smallest value in 1, -4, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2*l - 4)*(-1 - 2 + 1) + 33*l + 25*l + 42*l to b*l + q and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60978290 to the power of 1\/2, to the nearest integer?\nAnswer: 7809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j + 107 = -4*k, 5*j - 49 = 2*k. Let x = 19 + k. Is 5 a factor of (12\/(-4) - x) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-13 + -38)) + -6 + 11 + -6 + 7?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p + 3. Let j(z) = 10*z**2 - 22*z + 33. Let d(q) = 2*j(q) - 22*s(q). Let b(y) be the first derivative of y**3\/3 - 1. Give d(b(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 14) to base 2.\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 3*p**5 + 0*p - p**5 - 2*p**2 + 2*p**2 + (3*p**4 + 3*p**4 - 2*p**4)*(-2*p + 5*p - 5*p).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20*k**2 - 2*k + 1. Suppose 1 = b - 0. What is the tens digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 73. Let f be c(-13). Is f >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcgc when four letters picked without replacement from {g: 6, m: 10, x: 2, c: 2}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 18660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c489 (base 15) to base 3.\nAnswer: 100211022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 170.7 - 172.5. Let y = 16 + -15. What is the closest to 2\/5 in l, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*i + 4*x, -2*i + 18 = 2*x. Let q = -16.2 - -17. Let j = -1.1 + q. What is the biggest value in j, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -50, 0, -3, -16, -1114 in ascending order.\nAnswer: -1114, -50, -16, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-2 + 4) - -1. Let j be (2\/(-3))\/((-4)\/138). List the prime factors of j\/3 + d\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19873, 0 in descending order.\nAnswer: 1, 0, -19873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210101221 (base 3) to base 12.\nAnswer: -a2b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59.79322 and -0.01416.\nAnswer: -59.80738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 3 + 3 - 3*m - m + 2*m + (6*m - 4*m - 3*m)*(3 - 4 + 6).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 11*w**2 - 25*w. Determine j(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**5 - 55*r**4 - 135*r**3 + 55*r**2 + 140*r = 0.\nAnswer: -7, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose -n*x = -q - 39, -x + 0*q + 7 = -q. Let y = x - 2. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - 9*m + 4. Let n be (-30)\/(-4)*4\/6 + 1. Let y be t(n). Calculate the greatest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174098, 174099, 174100?\nAnswer: 174101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5506, -21523, -48048, -85087, -132646, -190731?\nAnswer: -259348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:32 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0*x = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6287527 to 4 dps.\nAnswer: -0.6288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24496, -23996, -23498, -23002?\n\"Answer: -k**2 + 503*k - 24998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*t - 3*v + 1, -3*t = -v + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 3)*(-h - 3 + 3) + 3 - 3*h - 3 + (1 + 0 - 2)*(-h + 5*h - 2*h) + 14*h - 22 - 7*h - 5*h + (-3*h + 2*h + 2*h)*(3 - 2 + 0) as v*h + j and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*m - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25221979.278 take away 9?\nAnswer: -25221988.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**2 - 3730*x - 124425 = 0.\nAnswer: -711, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153) - (-4 + (sqrt(17) - sqrt(51)\/sqrt(3))**2).\nAnswer: 7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111330232 (base 4) to base 6.\nAnswer: -1532114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000001110100 - 100?\nAnswer: -10011000001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922\/6*(-21)\/7*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*n**3 + 973108*a**3*v + 3*a**2*n**3*v + 10476*n**3*v + 2*n**2*v wrt a.\nAnswer: 12*n**3 + 5838648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2\/5, -2828, -16, -1\/5 in descending order.\nAnswer: 3\/4, 2\/5, -1\/5, -16, -2828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - w = -3*w + 3944, -3*b = 4*w - 2963. Let p = b + -11789\/12. Find the common denominator of p and -83\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6922 = -3*q - 5*f, 4*q - 9240 = 4*f. Suppose 3*s = 5*j - 2321, 3*s - q = -2*j - 3*j. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25\/3 + -8)\/(6\/3924) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 192015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-3) + 3\/(-3))*-1471. Suppose -o = 282*j - 286*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1275*k*n**2*w - 260*k*n**2 + 2*k*n*w - 9*k*w + 2*k + 9*n**2*w - 9210*n - w wrt n.\nAnswer: -2550*k*w - 520*k + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -v - 2*b, -2 = 4*v + 5*b. Let t(r) = 2*r - v*r + r + r. Let a(l) = -4*l. Calculate t(a(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v + 2*n + 71 - 51, 0 = -5*v + 22*n - 17*n + 50 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/1342 or -1?\nAnswer: -27\/1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t*t**(2\/51)\/t*t*t)\/t)\/((t*t**3)\/t))**42 assuming t is positive.\nAnswer: t**(742\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 4, -23, 0 in decreasing order.\nAnswer: 4, 3, 0, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 - 4873*l**2 - 5938968*l - 5934096 = 0. Calculate l.\nAnswer: -2436, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -144, 0, -4 in descending order.\nAnswer: 10, 5, 0, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -0.37479588?\nAnswer: -6.62520412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -183 or 25172?\nAnswer: 25172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2 - r + 3. Let c(f) be the first derivative of f + 56 + 0*f**2 - 4\/3*f**3. Determine -7*c(b) + 2*s(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -529*f**5\/40 + 1679*f**4\/32 - 223*f**3\/4 + 49*f**2\/4 - f - 747. Determine p so that m(p) = 0.\nAnswer: 2\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -57, -94?\n\"Answer: -37*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 5. Suppose -51*d + 41*d = 20160. Let a be 2\/13 - d\/416. Give u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + (1 - (11 + -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 62 - 20*q)*((5*q - 2*q - q)*(-q + 2 - 2) - 2*q**2 + 4*q**2 - 3*q**2).\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7171 + 7169. Which is the second biggest value? (a) -11 (b) -4\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -13027924.\nAnswer: -6513962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217360 and 285.\nAnswer: 652080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34992, -69788, -104630, -139518, -174452, -209432, -244458?\nAnswer: -279530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247974*s**3 - 12806*s**2 + 2*s + 3?\nAnswer: -1487844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 1, x: 2, l: 1}. What is prob of sequence xuu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 98774794354.\nAnswer: -98774794353.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 4*n. Let i(k) = -8*k**3 + 4*k**3 - 2*k**3 + 2*k**3 - 5*k - k**2. Calculate 3*a(h) + 2*i(h).\nAnswer: h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-6 + 1 + 3)*(1 - 3 + 0) + (-3 + 3 + 1)*(-19 + 4 + 4))*(2*c - c**4 - 2*c).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -61, -2\/25, 11, 0.2, -24, -8\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 6, 4, 2, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzqivziwqvvvzi. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2930 at most as big as -2807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100325913 + 100325913 + b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 55*u - 638*u**2 - 28 + 626*u**2 + 13 to the form v*u**2 + r + i*u and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157453*m**5 + 199635*m wrt m.\nAnswer: -3149060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 6*g**2 - 4. Let m be x(5). Let p = m - -23. List the prime factors of 2\/p + 40\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13064 - -17231094944.\nAnswer: 17231108008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + 2 - sqrt(5))*2)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.5157 days to seconds.\nAnswer: 60092556.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -63*j + 120 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 277968892 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0 + 3*v**2 - 2\/3*v**3 - 7\/60*v**6 + 2\/105*v**7 + 0*v + 1\/12*v**4 + 1\/5*v**5. Factor u(r).\nAnswer: 2*(r - 2)*(r - 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 50993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63128213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 2318 + 2374 = 4836 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*a + 95 - 2032*a - 48 - 47 in the form k*a + t and give k.\nAnswer: -2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 116 = 4*y, 154*v - 3*y - 33 = 152*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*346\nAnswer: 121.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 4 = -5*y, -4*n - 36 = -2*y for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 25, 3 in increasing order.\nAnswer: -1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-20)\/11 - 336\/(-88)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425))**2 + 2 + -1*(sqrt(425)*2 - sqrt(425))**2 + 5 - (5 + -5 + 2*-2*sqrt(425))**2.\nAnswer: -5518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 1642286?\nAnswer: 1642286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*g**3*v + 69*g**3 - 2*g**2*j*q*v - 11*j*q*v + j*q - 74*j wrt v?\nAnswer: -72*g**3 - 2*g**2*j*q - 11*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 57 - 3*y)*(-y**3 + 2*y**3 + 4*y**3 - 2*y**2) - 4*y**2 + 4*y**2 + y**4.\nAnswer: -14*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/855840 and 71\/7132.\nAnswer: 855840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 4*z + 2*z + 6*z as k + c*z and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 6*v + 5. Let k be m(-5). Let p = -35 - k. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -678094 + 21625373\nAnswer: 20947279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2649, 2670, 2727, 2838, 3021, 3294?\n\"Answer: 3*m**3 + 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58321 (base 10) to base 8.\nAnswer: 161721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -8, 0, -85, -4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27933.32 - 28808. What is h rounded to zero decimal places?\nAnswer: -875","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.23 + 0.23. Let c = 120 - 105. Let v = c + b. What is the smallest value in 0.5, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 65. Let f(z) be the third derivative of -z**5\/30 - 3*z**2 - 205. Calculate q(f(c)).\nAnswer: 4*c**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 1*30\/(-5). Suppose 4*v + 2*x - 30 = 0, -3*v - 2*x + 5 = -19. Suppose -2*a = -4*a - v. Put j, 4, a in descending order.\nAnswer: j, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38368 is divided by 4257.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, x: 3}. Give prob of sequence xccc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-3*(sqrt(1900) - (-1 + sqrt(1900) + 4)) + -5 + sqrt(1900) + 1 + -2*sqrt(1900)))**2.\nAnswer: -3600*sqrt(19) + 69300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/8 + 21\/8. Which is the third smallest value? (a) 5 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -33. Let h = -765337.12 - -765356.1199988. Let n = s + h. Round n to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7467303637 from -1.\nAnswer: -7467303638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -17 (b) -10 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5\/10*(-1 - -6 - -49121)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 44.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from xbxjjjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 24) + 16 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r + 200\/3*r**3 + 1\/15*r**5 + 37*r**2 + 0 - 10\/3*r**4. Factor v(c).\nAnswer: 4*(c - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uonn. What is prob of sequence onun?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -0.3\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Suppose -20 = 5*r, -4*r - p = 3*j - 0*j. Solve j*a - 2 = 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 - -745. Suppose -4*u - 5*m = -473, -5*u - m + h = -0*u. Let l = u - 63. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137*c + 49415 = 96032 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8370 divide 2142895770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21821969 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/16 + -67\/112. Put -1\/3, 0.21, p in increasing order.\nAnswer: -1\/3, p, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14271, 14283, 14293, 14295, 14283, 14251, 14193, 14103?\n\"Answer: -j**3 + 5*j**2 + 4*j + 14263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245621343.\nAnswer: 3, 11, 223, 33377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134081*c**4 + 6*c - 116266 wrt c?\nAnswer: -1608972*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5802856 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 36. Suppose -b*o - 119 - 5 = 0. Put -1, o, -3 in increasing order.\nAnswer: o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 - z + 3. Let k(w) = -w**2 + 3*w + 4. Let m be k(4). Let t be l(m). Suppose -t*f = 6 - 81. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -1124?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62\/175, -2, -2\/9 in ascending order.\nAnswer: -2, -2\/9, 62\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109*x + 379*x + 2023*x + 1514*x + 2780 wrt x?\nAnswer: 4025","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55 + 0.15. Let w = 0.4 - t. Which is the second biggest value? (a) w (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 315860 - 684076 = 0. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:34 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -7145230?\nAnswer: -7145225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167527?\nAnswer: 11, 151, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 21 = -8*f. Let y(x) = x**2 - x + 2. Let r be y(-5). Let z = r - 97\/3. Put f, 0.1, z in increasing order.\nAnswer: f, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2*(5 + 1). Suppose 0 = 5*r - 2*r - p. Suppose -5*u + 24 = -3*u - 4*a, r*u = -5*a. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 415*h**8\/168 + 13*h**4\/24 + h**3\/3 - 15*h**2 + 6. What is the second derivative of o(g) wrt g?\nAnswer: 16600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69514 bigger than 69514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-213)\/(-63) - (-40)\/140)*30\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(((-9)\/(-720)*30)\/((-6)\/(-32)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpu when three letters picked without replacement from ggigpiguk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3\/(12\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(3\/(-42)). Let l = t - 5. Solve -b - l = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -797005 and -0.3.\nAnswer: 239101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/25)\/((-1)\/5). Let v = 98 - 98.5. What is the third smallest value in v, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142476 - -3?\nAnswer: 142479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*f - 2 - 17, -2*f = 5*m - 27. Suppose m*y - 44 - 116 = 0. Let k = -14 + y. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46942.69mg in tonnes?\nAnswer: 0.00004694269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 47*g**2 - 136*g - 109. Let v be w(-44). Put -1, 5, v, 1 in decreasing order.\nAnswer: v, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 8}. Give prob of sequence nn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359080378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -18. Suppose -i - 3*h = -g*h + 4, -i = -h + 1. What is the third derivative of 0 + 5*p**3 + i + 0 + p**2 wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27879?\nAnswer: 3, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100020220110?\nAnswer: 100020220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1) + (21 - 2). Suppose 2 = n - 3*i + i, -n = -5*i + 4. Is (2 - -1)*h\/n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 4, l: 1, e: 1}. What is prob of sequence eln?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*a - a. Let h be (-148)\/28 - 4\/a. Let c = 0 - h. Let b(r) = -r**3 + 5*r**2 + 3*r - 5. What is b(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324*i**2 - 64?\nAnswer: 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r**(2\/7)*r)))\/r*r)\/r)**(2\/15)*r**(1\/3)*r\/(r\/(r**(-4\/7)*r)) assuming r is positive.\nAnswer: r**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 + k**3\/3 + k**2 - 21. Calculate a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*p + 180*p - 959 - 1682 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**4 + l**4 + 3*l**4 + (-2*l + 0*l + 3*l)*(5 - 2*l**3 - 5) + 2*l**3 - 2*l**3 - l**4)*(-2 - 2 + 1)*(5*l + 2*l - 6*l).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(21\/(-14)). Sort -1, 4, k in descending order.\nAnswer: 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-4)\/((-72)\/(-21)). Let w = 8\/3 - h. Which is the third biggest value? (a) 0.2 (b) w (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6448 and -87\/496.\nAnswer: 6448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 271 + 3*q - 3*q + q - 115 in the form w + f*q and give w.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/105*5\/36.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-5 + 3 + 0) + 3 - 2 + 0)*((3*q - 3*q + q)*(-4 + 4 - 2) - 21 - 11*q + 29 + 5*q).\nAnswer: -40*q + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -305?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 419211?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -58. Suppose -h - 15 = -l. Solve 2*g = 4*m + h + 2, 0 = 3*m - g + 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(20) + 0)*-4 + sqrt(20)*-1 + -4 + (sqrt(245) + 0 + sqrt(5) + 2)*-4)**2.\nAnswer: 1008*sqrt(5) + 8959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.351 - 14.4. Let i = 2.251 - j. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42373638 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-303542598)\/(-518) - 4\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.44 - -6. Let x = -26 - -26.04. Let f = u + x. Put -1, 2\/9, f in descending order.\nAnswer: 2\/9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*n - 13 + 3, q = -3*n - 11. Which is the second smallest value? (a) -1 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2. Let b(o) = 4*o - 1. Calculate x(b(s)).\nAnswer: 112*s**2 - 56*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 1:41 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27*i - 35. What is h(1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/3 - 8290*j**2\/3 + 8291*j\/3 = 0.\nAnswer: -8291, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide (452\/(-1017) - ((-8)\/18 + -1))*1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180277, 180315, 180423, 180637, 180993?\nAnswer: 181527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 286 - 274 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -22001?\nAnswer: 22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 1, -3\/8, -0.1, -5176, 16?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 2 o when four letters picked without replacement from kokaxaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 33?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 191*n - 6318. Let v be w(-30). Solve 275*u - 314*u + v = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 6:14 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 6, b: 5, u: 2, x: 1}. What is prob of sequence qx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/5? (a) 0.4 (b) 1\/2 (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-13)\/6 - 5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*p - 2284, 46*i - 3419 = 43*i - 2*p. Calculate the remainder when i is divided by 285.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88107 and 2686239.\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n + 24. Let y be b(-3). Is (y - -904) + (-42)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 11, f: 7}. Give prob of sequence rf.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20731, -20733, -20735, -20737, -20739?\nAnswer: -20741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 8:24 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 3*m**2 - 67*m - 20*m as j + q*m + h*m**2 and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -3, 4, -131, -5, 2 in increasing order.\nAnswer: -131, -5, -3, -1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a390a - 3?\nAnswer: 14a3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 163 = 20*u. Let r = -153 - -296. What is the highest common divisor of r and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 372\/11, -101?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -108 (b) -2 (c) 5\/3 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a28 + -292?\nAnswer: -720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/9)\/((-2)\/3). Let o be (-1)\/(-2 - -5)*6. Let s(r) = -3*r - 1. Let t(l) = l + 1. Calculate c*s(p) + o*t(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33 - -2) + -2 + 6. List the prime factors of 3\/(1*u\/(-6))*15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7897.842g?\nAnswer: 7897842000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 32 = 3*w + 5*a, -2*a = -w - 26. Let y = w - -44. Let c(x) = 200*x - 997. What is the least common multiple of y and c(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 27, 36, 39, 30, 3, -48?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-1.088\nAnswer: 0.09792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 68*u**2 - 130*u - 711. Determine d(66).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -305 + 3?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 4*p - 5. Let q(f) = -3*f**2 - 3*f + 4. Let j(c) = -6*q(c) - 5*w(c). Let o be j(1). Let g be (-112)\/(1\/(-50)*o). Round g to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1319 by 4.\nAnswer: -1319\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {f: 1, t: 9, x: 1, z: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (9 + -4) - (-17 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 5) in base 15?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/24 - 606\/(-8). Let v = 129 - y. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1074, -2062, -2906, -3534, -3874, -3854?\n\"Answer: 12*i**3 - 1072*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 71179*k**2 + 49228*k**2.\nAnswer: 120407*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -253*b - 4. Let x(r) = -761*r - 14. What is 10*h(y) - 3*x(y)?\nAnswer: -247*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 8*z - 3 = w, -5*z = -3*w - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - -2*sqrt(121))*-4 + sqrt(121))\/sqrt(11) - (sqrt(11) + 4 + sqrt(33)\/sqrt(3) + 0) - (-2 + (sqrt(77)*1 + sqrt(77))\/sqrt(7) + -2 + 2).\nAnswer: -15*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*l**2 - 75481*l**3 + 7*l**4 - 2*l**2 + 75477*l**3 + 416*l wrt l?\nAnswer: 168*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + d + (-1 + 1 - 3)*(d - 3*d - 9*d))*(3*d - 2*d + 0*d).\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 655174*o**2\/5 + 1179314*o + 36\/5.\nAnswer: 2*(o + 9)*(327587*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4268016 and 26592?\nAnswer: 8536032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -184912748 take away 0.4377?\nAnswer: -184912748.4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/1806 and -56\/278493?\nAnswer: 167652786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*s, d = 5*d + 2*s - 34. Suppose r = -r + d. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 299402710, 299402708, 299402706, 299402704, 299402702, 299402700?\n\"Answer: -2*u + 299402712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 5*l**2 - 3*l - 2. Let a be g(-4). What is the units digit of ((-39)\/6)\/(3\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890 is divided by 406?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -w - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16574.00026969 - -16574. What is s rounded to 6 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -652*a**3 + 14728*a**2 - 14728*a**2 + (-4*a**2 + 2*a**2 + 0*a**2)*(-11*a + 2*a - 2*a).\nAnswer: -630*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0*g**5 + 0 + 0*g**4 - 12*g**3 + 47\/60*g**6 - 2*g**2 - 62*g. Find the first derivative of o(f) wrt f.\nAnswer: 282*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 - 5*f - 6. Let i be k(5). Let x = i + 7. Let s be 3*((-14)\/(-6) - 2). Is s at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336515103 to the power of 1\/2, to the nearest integer?\nAnswer: 18344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1286, -1230, -1144, -1028, -882, -706?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 34. Let r be h(-8). Let v be (1\/r)\/(968\/240 + -4). Solve -d + 4*x = -v, 4*d + 3*x - 3 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 2, d: 9, t: 1, r: 5}. What is prob of picking 1 a and 1 t?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.5 (b) 342 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**2 + o**3 - 2*o**4 - 3 + 2*o**4 + 15*o**2 + o**4 + 13*o - 14*o in the form d*o**4 + z*o + q*o**3 + v + t*o**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (4 + -3)) + 271 + -4. Let u be (-1)\/(-2) - y\/(-16). What is the greatest common divisor of u and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 times 0.3872?\nAnswer: -0.0352352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 6. Let z be g(6). Let t(k) = 0*k + k + z*k. Let f(w) be the third derivative of w**5\/20 + 2*w**2. Give t(f(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*p - 9 = 0, 3*p - 15 = -n + 7*p. Suppose -2*u + n = -5*u. Which is greater: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 4)*2 + (sqrt(2057) + 3)*-5 + -2*((sqrt(2057) - (sqrt(2057) + -5 + 0)**2) + sqrt(2057))*-4.\nAnswer: -16663 + 1023*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 17. Let g be q(-19). Let d = -1\/4 + g. Factor -d*s**2 + 1\/2 + 5\/4*s.\nAnswer: -(s - 1)*(7*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 12*c + 168 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 23 - 44 + 4*w**2 + 3 + 0. Let k(i) = 3 - 3 + 2*i. Calculate k(c(d)).\nAnswer: 8*d**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - (6 - 275\/44). Solve c = 3*j - 6*f + f + 10, 3*j + 16 = -f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o**3 - 31*o**2 - 7*o + 23. Let a(p) = 20*p**3 - 33*p**2 - 8*p + 25. Calculate -5*a(f) + 6*k(f).\nAnswer: 2*f**3 - 21*f**2 - 2*f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982, -1825, -2668?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2032776 or -0.25?\nAnswer: 0.2032776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 165.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let g(j) = 5*j**2 - z*j**2 - 4*j**2. Let s(p) = -3*p + 6*p - 2*p + 0*p. What is g(s(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 91*n**2 - 524*n - 303. Determine m(-5).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from umwmumuemuummws?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-45))\/(10087\/(-2751))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) -21339 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5032.906 millennia in centuries?\nAnswer: 50329.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/9, -4, -2\/5, 1\/47.\nAnswer: -4, -35\/9, -2\/5, 1\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5\/7 + 32*q**4\/7 - 192*q**3\/7 + 64*q**2\/7 + 704*q\/7 - 768\/7 = 0?\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 133 - 109 = 2*q, q + 3*l - 20 = 0. Solve 4*r - 4 = 4*a, 3*a + q = -4*r + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -0.22 (c) 3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:13 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131093 and 3033?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210121333231 + -121?\nAnswer: -210122000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-5)*10\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - 0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:21 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 980*d**3 + 1820*d**2 - 275*d + 10.\nAnswer: 5*(d + 2)*(14*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-28) + 882\/8. Let z = s - 60. Suppose z = 3*t - 5*f, 145 = 5*t + 4*f - 0*f. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132571.\nAnswer: 37, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-5 + (-90)\/(-15))*(8 + 2) and 1240?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263 - 1010415?\nAnswer: -1010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((12\/30)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 193, 249, 301, 349, 393, 433?\n\"Answer: -2*u**2 + 62*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000668 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*h - 435*h = 0. Let t(r) = r**2 - 16*r + 0*r + h + 9*r + 6. Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8468 - 8463. Let v = 2 - -13. Suppose -v = -i + 4*i. Which is the second biggest value? (a) o (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 30*o**2 + 15*o + 183. Let m be u(14). Is -1\/13437 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129775 is divided by 10665.\nAnswer: 9950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -5. Let g be (2 - 0\/1) + -8. Let b = o - g. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4609*r = -4632*r + 18216. What is the greatest common factor of r and 3762?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 + 203831*r - 203808*r + 5 - 3*r**4 as d*r**3 + b + h*r**4 + v*r**2 + g*r and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/6 + 1\/2. Sort -0.5, 0.1, h in ascending order.\nAnswer: -0.5, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1241, -2473, -3697, -4913, -6121?\n\"Answer: 4*u**2 - 1244*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -19 - -7 - -32 - (11 - 6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**5 - b**3 + b**2 + b + 1. Let u(d) = -2*d**5 + 6*d**3 - 13*d**2 - 6*d - 6. Let y(a) = -u(a) - 6*x(a). What is the third derivative of y(k) wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**8)\/((((l\/(l\/(l*l**(1\/3))))\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*r**4 + 0*r**2 - 15 - 4*r**2 + 18 + 23 wrt r?\nAnswer: -3072*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/24 + 10*b**3\/3 + 6*b**2 + 4. Let y(s) = 1. Let o(c) = -g(c) + 2*y(c). Calculate o(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -882*p**4 - 2*p**2 + 867*p + 2 wrt p?\nAnswer: -10584*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 751.158 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 4*h**4 + 802*h**3 + 808*h**3 - 2414*h**3 - 6*h + 5*h**4 + 23 + 802*h**3 as p*h + z*h**2 + c*h**4 + r + a*h**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 16*o**2 + 16*o - 13. Let p be t(14). Let h = -103 - p. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - (-2)\/(-5). Let g(u) = u**2 - u + 6. Let f be g(p). Find the second derivative of 5*y + f*y + 3*y - 7*y - 4*y**5 wrt y.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wobo when four letters picked without replacement from nwowowowwwbwwwo?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 2099 (b) -2\/9 (c) 1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*x - 124*x + 115. Solve x*u + 472 = 492 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*w + 1081*w = 536*w - 576 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.042 + 0.142. What is b rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2.7, 3\/3277 in increasing order.\nAnswer: -2.7, 3\/3277, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 181*j**3\/3 - 44*j. Let i(g) = 26012*g - 13005*g - 13006*g. Determine v(i(r)).\nAnswer: 362*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -c + 3*z, -4*c - 3*z + 27 = 0. Solve -s = -c*s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120582 = 135*z + 1944*z for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53639, -214579, -482821, -858371, -1341235, -1931419, -2628929?\nAnswer: -3433771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.9. Suppose 0 = -3*t + 37 + 17. Let i be ((-3)\/t)\/(1\/(-4)). Are i and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*w + 0)*(-1 - 1 + 3)*(7*w - 77*w + 70*w - 17*w**2).\nAnswer: -51*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7641082297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -110656074 - -0.37\nAnswer: -110656073.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -37*d**5\/20 - 257*d**4\/8 + 83*d**3 - 60*d**2. Let b(a) = -11*a**2 - 77*a + 50. Let p(q) = -21*b(q) + 2*n(q). Factor p(v).\nAnswer: 3*(v + 9)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-150))\/((-15)\/190)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305470*a**2 + 2 - 305478*a**2 + 0*a + 0*a.\nAnswer: -8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 - 9*r + 9. Suppose s = 5*s - 8, 4*i + 2*s + 16 = 0. Let v = i + -4. Let u(w) = -2*w**3 + 4*w - 4. Determine v*u(y) - 4*o(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*n**2*x**2 + 301*n**2*x wrt x?\nAnswer: 76*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(4*(-2)\/4). Does 11 divide (-11)\/(-22)*(35 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 120*h**2 + 839*h + 368. Give q(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-2324\nAnswer: 232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 64. Let x(f) be the second derivative of -f**3 - f. What are the prime factors of x(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417170502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 63*y**3 + 205*y**2 + 5*y - 3. Let s(c) = c**3 + 34*c**2 + c - 1. Give o(g) - 6*s(g).\nAnswer: 57*g**3 + g**2 - g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 3. What is r(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {y: 4, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 171*j**2 - 167*j**2 + 0.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 6 - -3 - ((-282)\/2397 - 3360\/51).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314532 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/8)\/((-11)\/(-44)). Which is smaller: s or -1\/14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/21 and 68\/573.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20563*i*m**3 - 2*i*m*v**2 - 10*i*v**3 + 9*m**3*v**3 - 457*m**2*v**2 + 6*v**2 wrt m?\nAnswer: 123378*i + 54*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.739826 + -0.048826. Let c = -25.5 + l. What is c rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21195\/22 + 966. What is the common denominator of -65\/2 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 295.\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.3.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 806954593 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18683848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-4*sqrt(7)) - 6*(sqrt(245) + sqrt(5)).\nAnswer: -193*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 95 + s**2 + 32\/15*s - 2\/45*s**3. Suppose m(h) = 0. Calculate h.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2 + sqrt(363) + 1 - -6*(-1 + sqrt(363))) + 5))**2*-1.\nAnswer: -160119 + 2772*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6751 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 9*x + 1. Calculate the remainder when 503 is divided by l(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 4, c: 4, r: 1, o: 1, x: 3}. What is prob of picking 1 c, 1 n, and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 4*y - 2*y)*(-31 - 28 + 59 + 273*y) in the form z*y**2 + g*y + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.73 - -32. Let l = b + -0.27. What is the nearest to 1\/4 in -1\/8, -3\/5, l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 7145196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/4*318\/(-477). Solve 5*p + 5*q + 25 = 0, -3*p + 18*q = 13*q - w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1924 = 41*k. Solve 0 = -23*y + k - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 8*n - 342. Let f(q) = -11*q**2 - 18*q + 686. What is -4*f(v) - 9*p(v)?\nAnswer: -v**2 + 334","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Let n(x) = 2*x**2 + 6*x + o*x - 6*x. Let j(l) = -3*l**2. Calculate j(n(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56715 and 1425?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.028199.\nAnswer: -0.0140995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q. Suppose -9*p + 11 + 3 = -4. Let v(d) be the third derivative of 0 + 1\/30*d**5 + 15*d**p + 0*d**3 + 0*d + 0*d**4. Determine v(b(o)).\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*(-2 + 1 + sqrt(475)*2*2 + sqrt(475)) + 4)*-3)**2.\nAnswer: -2250*sqrt(19) + 107101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by ((-376)\/(-12))\/1 + 2\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/(sqrt(6)*-2))\/sqrt(6) - (sqrt(162)*-2 + -5))*-3)**2.\nAnswer: 1575*sqrt(2) + 11475\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -500*c + 499. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbyn when four letters picked without replacement from znbbyyt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -195, -192, -79, 180?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + -6. Let b = x + 28. Solve -2*o - 20 = -b*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -826, 112, -15 in descending order.\nAnswer: 112, -3, -15, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 5*l + 113, i + 4*i + 52 = -7*l + 11*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Let q(k) = -k - 186. Give a(q(g)).\nAnswer: 2*g**2 + 744*g + 69192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -68.51. Let d = r + 0.61. Let p = -2.98 - 0.02. Which is the closest to 1\/2? (a) 1\/6 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.1 - -53.7. What is the third biggest value in l, -3, 0.142?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1 + 4*k + 5 + 8*k + k**3 - 5*k - 7*k**2. What is the remainder when h(6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 21?\nAnswer: -11\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((5*2*sqrt(300) + sqrt(300) + 4)**2 - (sqrt(300) + (2*sqrt(300))**2 + -2)*-2)*4)*-6.\nAnswer: -929088 - 21600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**26\/v)\/v))**(-10\/9)\/(v\/(v\/(v*v*v*v*v**(-3\/16)*v))*v**(-4)))**(-16) assuming v is positive.\nAnswer: v**(-3563\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-1))\/v)\/v**(1\/4))\/(v**(3\/7)\/v*v**(2\/3)))\/(v**5*v**1*((v**(3\/5)\/v)\/v)\/((v**2\/v)\/v*v*v)) assuming v is positive.\nAnswer: v**(-817\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose -3*n = 3*t - 1155, 4*t = -4*n + i*t + 1528. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-8 - 6 - -18) - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11284*c = -11912*c - 11304 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3536 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - l + 2*l)*(1 - 1 + l)*(-50*l**2 + 2124*l**2 + 784*l**2) in the form b*l**3 + x + n*l**4 + s*l**2 + c*l and give n.\nAnswer: 2858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1752 and -65\/68?\nAnswer: 29784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 u when three letters picked without replacement from zzxuzyzyxuxtzmy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.925 + -1.178. What is b rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/317358 and -13\/34254.\nAnswer: 603932274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:51 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o - 3. Determine x(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*q + 402*q - 309*q)*(5 - 4 + 0)*(4 - 4 + 3*q).\nAnswer: -675*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-1045)*665\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11410001831\/537969042 + 4\/6897039. Let m = -301\/13 - z. Find the common denominator of m and 33\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h**2 + 489*h - 4959. Give d(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75963, 75965, 75967, 75969?\n\"Answer: 2*m + 75961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34243 is divided by 34239.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*j - 285, -4*j + 447 = 2*v + 153. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -34\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97818215903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*f + 5*i, -2*f + 2*i + 25 = 3*i. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-33)*-20*(-144)\/(-864)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let y(i) = -4*i**2 - 11*i**2 - 1 + 0*i**2. Calculate y(q(w)).\nAnswer: -135*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -236\/3*a**2 - 40\/3*a**4 + 2\/3*a**5 + 0 - 32*a - 182\/3*a**3 = 0. Calculate a.\nAnswer: -2, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 342*y\/5.\nAnswer: 2*y*(y + 171)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**6\/120 - 4*h**5\/15 + 5*h**4\/8 - 5*h**3\/6 + 46*h**2. Let b be -1*(-7 + 12)*(3 + -6). Give t(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 218 = -75 + 81 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 0.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucccaaucauceecuua. Give prob of picking 1 a and 1 c.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = l - 60, 15*s + 2*s + s + 3*l + 2*l = 161 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 + 3*o**4 - 2*o**4 + (-2*o**4 + 3*o**4 + o**4)*(-4 - o + 4) - 2*o**5 - 2*o**4 + 2*o**4.\nAnswer: -5*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23220 by -1935.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162979441.\nAnswer: 162979441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 15*p - 72. Let x be v(8). Is 1426416\/x*1*5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**2 - 3*y + 43. Let u(b) be the second derivative of b**3\/3 + 10563*b. Determine p(u(c)).\nAnswer: -28*c**2 - 6*c + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-18)*l)\/(l*l**(2\/33)))**(-10\/7))**(-44))**(3\/4) assuming l is positive.\nAnswer: l**(-5960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/7 - -131\/21. Let l = 5.8 + -6. What is the third biggest value in l, 0.2, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 22. Let o(s) = 909*s**3 + 10*s. Let q be o(k). Suppose 3*z - q = -39662751. What is z rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 95 - 110. What is the second smallest value in 2\/3, c, -6\/13, 2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.086 - 0.086. Let j = -41.5 + 5. Let i = f + j. Which is the second smallest value? (a) i (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343340?\nAnswer: 2, 5, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**1)**(-5\/13))**(-22))**(-6\/5))**(-2\/13) assuming o is positive.\nAnswer: o**(264\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 8 + 4. Suppose 28 = -5*x + x - g*r, 0 = 3*x - 4*r - 7. Let o(d) = -d - 2. Let u be o(2). Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -32*w + 2. Let i(t) = 22*t - 4. Let u(n) = -2*f(n) - 3*i(n). Suppose -3*k = a + 3*a - 20, -a + 6 = k. Suppose -x = -k*x + 18. Determine u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(147\/(-6))*7\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452322, 452042, 451762, 451482, 451202?\nAnswer: 450922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*z + 4*w, 2*z = -2*z + 5*w + 34. Find the third derivative of -15*i**2 - 14*i**z + 57*i**6 - 24*i**6 wrt i.\nAnswer: 2280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/55104 and 17\/79007.\nAnswer: 106185408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 + 10*f + 4*f**5 + 18*f**5 wrt f.\nAnswer: 420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = z. What is the nearest to z in 5, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (14 - 30) - (-5 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(23\/2)))\/(i**(-1\/11)\/i))\/(i**(-29)\/i*i\/((i\/(i\/i**(15\/4)))\/i*i)))**10 assuming i is positive.\nAnswer: i**(4915\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1016235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 - 7 = 5*b, -2*a - 3*b = 3. Suppose 3*o - 5*w - 22 = 0, a = o + 3*o + w + 9. Let v = o + 6. Solve z + v = -0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/42*4\/10.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(6*1*sqrt(104))\/(-1*sqrt(40)\/sqrt(5)))*-2.\nAnswer: -72*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20374 < 21136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:08 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = 460073 - 458852 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 42*j**3 - 2168*j - 4032 = 0.\nAnswer: -18, -8, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 3*w**4 - 2*w**4)*(2 - 2 - 3) - 315*w**2 + 315*w**2 + 153*w**4.\nAnswer: 156*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32761 or -32760?\nAnswer: -32760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*(-64)\/160.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 143*a + 1932. Calculate w(-14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 5*t**2 + t + 4. Let f be n(5). Let x be -3 + (f - (-6 + 3)*-1). What is the units digit of -5*((-113)\/5 + x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 + -14 + 22)\/(1\/2433)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221101 + -111?\nAnswer: 22220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -10 + (7 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 7 - 7)*(3*w + w - w)*(-2 + 2*w + 2).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 3*s + 54. Let z = s + 24. Suppose -x + 0*x = -4. Sort x, -5, z.\nAnswer: -5, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1139 + 1141. Solve -27 = -7*v - i*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9032 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(114)\/sqrt(6)) - ((sqrt(171)*2 - sqrt(19)) + (sqrt(19) + 1)*6)**2.\nAnswer: -2331 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i - 4*s = -19*i, -5*i + 18 = s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(2448)*-2 + 1)*-6 + 2)**2*4.\nAnswer: 4608*sqrt(17) + 1410112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -23, -4, -7 in increasing order.\nAnswer: -23, -7, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(5 + 1) - (-50)\/6. Let q be (-15)\/(-5)*(9\/o + -1). Let m = 26 - 35. Which is the third smallest value? (a) 2\/5 (b) m (c) q (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.25, -5, 1\/2, 2\/9, -1\/3, 4 in decreasing order.\nAnswer: 4, 1\/2, 2\/9, -1\/3, -5, -5.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.515 - 14.515. Put 0.0707, 1, 3, b in ascending order.\nAnswer: b, 0.0707, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.16, -2\/5, -11.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 - -1)) + (5 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x + 9*x + 9*x + x to o + f*x and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 2, f: 1}. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156523, 313042, 469561?\nAnswer: 626080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00394361787 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 756 - 1785. Let u = w + 1533. Is u a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200000 = 7*w - 6*w. Suppose 2*s = i + 3*s + w, -2*i + 4*s - 400000 = 0. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8345*w**4 + 4*w**3 - 8347*w**4 + 2*w**3 + 1 + 6*w**2 - 4*w**3 as c*w**4 + a + i*w**2 + f*w**3 + l*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from {b: 1, p: 7, s: 2, c: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Let o be ((-18)\/63)\/(1\/3). Let f = -47 - -46.9. Which is the closest to f? (a) -2\/9 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(308)\/(sqrt(175) + sqrt(7)) + 3)**2 + 1*(sqrt(220)*6)\/(sqrt(10)\/(sqrt(2) + sqrt(18))).\nAnswer: 356\/9 + 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.633903 centimeters?\nAnswer: 6339030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + -2 + 6. Suppose -b*j + 60 = 5*y, -2*y = j - 5*y - 6. Solve -4*p + j + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -170*m**3 - 14*m**2 + 45*m + 161. Is n(-7) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (-75)\/(-18)) + -1)*(-35)\/(350\/20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -234?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 639*f - 1908. What is the hundreds digit of s(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 111, 121, 135, 153, 175, 201?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -345 or -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -18. Suppose -15 = -i*q + 10. Suppose 180 = 3*h - 0*h + 3*x, 0 = -4*h + q*x + 240. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37494 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 11386782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 2:59 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26874 + -70921. Round j to the nearest one hundred.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -43. Suppose 0 = -5*b - 5*h + h + 58, -2*b = h - l. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**9\/27216 + u**8\/15120 - u**7\/7560 - u**6\/3240 + u**3\/3 - 6*u**2. Let x(d) be the first derivative of i(d). Factor x(t).\nAnswer: t**2*(t - 1)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639\/4 greater than 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {k: 3, x: 4, c: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let c be (-7)\/14 - 29\/2. Let j(l) = -24*l. Let g(a) = 6*a. Let m(i) = c*g(i) - 4*j(i). Determine m(t(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2197 - 10*o - 50*o - 13*o - 7*o + 78*o as c + i*o and give c.\nAnswer: -2197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*s + 10796 - 161376. What are the prime factors of s?\nAnswer: 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/9)\/(595\/(-102)))\/(((-36)\/(-35))\/(-6)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*k**4 + 650704*k**3 - 11087*k**2 - 195*k - 57?\nAnswer: 264*k + 3904224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:38 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -101088, 0.2, -1\/4 in increasing order.\nAnswer: -101088, -1\/4, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.1, 0.2, -10, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5780, 12324, 19638, 27728, 36600, 46260, 56714?\n\"Answer: z**3 + 379*z**2 + 5400*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11667 - 32?\nAnswer: -11699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -440 + 436 - (-1 + 3) - 24\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1581 + 1594. Solve -k - 7 = 5*g, 3*k - 222*g = -220*g + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zxox.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-1)\/(sqrt(9) - (sqrt(729)*2 + sqrt(729)))*-2*-3.\nAnswer: 24*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*n = -18, 8*n + 1 = 7*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -2375?\nAnswer: 14250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 317*c**2 + 3*c - 13. Let l(f) = 14*f. Determine l(g(a)).\nAnswer: 4438*a**2 + 42*a - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18549, 18546, 18543, 18540, 18537, 18534?\n\"Answer: -3*g + 18552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {o: 1, m: 10, x: 1, t: 4, l: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1936 + -1939. Let u = -26.2 + 29. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 2b?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3214448 millimeters to meters.\nAnswer: 0.0003214448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {t: 2, l: 10, h: 2, r: 2, m: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13ca - -c?\nAnswer: -13bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttto when four letters picked without replacement from {t: 5, o: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209313334973\/2209968 - -14112364\/149. Let o = -8144\/3 - -2516494\/927. Let n = o + x. Find the common denominator of -47\/24 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*j - j - 17068, 5*l - 5*j - 42675 = 0. Let h = l - 4707. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from etvvttet?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + -14811824?\nAnswer: -14811837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(35\/7))\/((-2)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmpmm. What is prob of picking 3 m?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -195000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -35 - 0. Let d(p) = 36*p - 11 + 6 + 10. Is d(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -26*h**2 + 975. Let y(s) = 9*s**2. Determine v(y(a)).\nAnswer: -468*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:36 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:06 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1115638725 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - 5 - ((17 - 36) + 30 + -18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1557*n + 2362*n + 5088*n)*(0 - 2 + 3)*(-1 + 0 - 1) as b + a*n and give a.\nAnswer: -18014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 363.828 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, r: 1, j: 1, f: 6, y: 1, n: 5}. What is prob of sequence gfrj?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -752*f + 1075. What are the prime factors of a(-7)?\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01386 rounded to 4 dps?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -853 - -2980. Let i = u + -1517. What is i rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/8 - 945*z**2\/8 + 471*z\/4 = 0. What is z?\nAnswer: 0, 1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 930.7 - 979.012. Round u to 0 decimal places.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010001100011001111111101 - 10?\nAnswer: 1011010001100011001111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*(18 + 3). Let l = -16 - q. What is the smallest common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 10*l - 11. Let p be f(-8). Suppose p*j + 25 = -50. Let h be (-100)\/j*25*-33. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333063.\nAnswer: 83, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/584, 1\/2, -46\/15 in increasing order.\nAnswer: -46\/15, -1\/584, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 750\/36 - (-1)\/6. Let k = -21 + v. Solve 2*z + 0 = 3*y + 3, -z - y + 4 = k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 6*g - 3. Suppose -d + 6 = -2*w, -2*w + w + 5*d + 15 = 0. Let y be ((-9)\/15)\/((-1)\/w). Does 7 divide b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.09 * -4.48\nAnswer: 18.3232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/11, 0.3, -3\/8, -0.6, 23046?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*z = -3046 + 11834 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 30\/4861?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.536012 nanoseconds to minutes.\nAnswer: 0.0000000003756002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -175229\nAnswer: 9637595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-112)*(-408)\/(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.3, 4\/3, -2\/5, -1, -3275?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 64*l + 15. Let x be h(25). Let c = -330 - x. Solve -f = -4*w - 5*f + 28, c*w + 4*f - 32 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.45 rounded to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (16 + 2 - 4) - (1 + 5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + (-15)\/(-36). Let t = 16.3 + 4.7. Let h = -21 + t. Which is the nearest to g? (a) h (b) -2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6240933mg in nanograms?\nAnswer: 624093.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 22 = -16. Suppose v = n + 7. Let u = -11 + n. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:06 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4, 73*w + 51670 = 3*d + 77*w. List the prime factors of d.\nAnswer: 2, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32252018.\nAnswer: 2, 563, 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 23*g + 5024 = 0. Let l = 674 - g. Calculate the remainder when 86 is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -32. Let l = c - 12. Solve 5 - l = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -8007, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 2*v + 3. Let l be n(-4). Which is smaller: -23 or l?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1088 and -63.5?\nAnswer: -69088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1713*s**5 - 49*s**3 - 884851*s?\nAnswer: 34260*s**3 - 294*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 8, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose -5*b + d - 6 = 30, -c*b = 3*d + 44. Let t(r) = r**3 + 9*r**2 + 8*r + 2. Does 2 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405856614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -735*t**2. Let w(c) = c**2 - 12*c + 12. Let p(n) = n**2 - 34*n + 34. Let o(x) = -6*p(x) + 17*w(x). Determine z(o(q)).\nAnswer: -88935*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 342*b**2 + 3318*b + 13. What is d(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -467*i**3 - 9. Let g(d) = -126556*d**3 - 2436. Calculate 3*g(n) - 812*h(n).\nAnswer: -464*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3429 + 3453 = -8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.8 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.573716 years?\nAnswer: 0.5573716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5792, -6027, -6576, -7595, -9240, -11667, -15032?\nAnswer: -19491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 389283 divided by 3?\nAnswer: 129761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22914 is divided by 559.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1\/6, -0.4, -5, 0.15.\nAnswer: -5, -0.7, -0.4, 0.15, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/30825?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-25)\/(-8))\/(860\/2064))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 44*a + 2. Let l be x(-22). Let d be (-160)\/(-72)*(13\/5 - l). Suppose 10\/3*h - 2*h**2 - d = 0. Calculate h.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53*(-1 - -5 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585091 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 704*c - 110. Let g(r) = -12*r + 22*r - 3 + 9*r. Let j(m) = -110*g(m) + 3*u(m). Let a(i) = 14 + 2*i - 10 - 4. Calculate a(j(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -347603 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/25, -4, 0.5, -2\/7, 13\/3, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + (-20)\/30. Suppose x*o - 3*u = o - 30, u + 60 = 3*o. Calculate the smallest common multiple of o and (3 + -1)\/(2\/3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 3. Let u = -29 - -27. Determine b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*((0 - y + 0)*(-6 + 4 + 3) + 0 + 2*y + 0).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is 712 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -107, -129, -171, -239, -339?\n\"Answer: -q**3 - q**2 + 2*q - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 11*a + 19 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(-2))*42\/(-28). Suppose -4*w - 121 = -y*i, 3*i - 65 - 28 = -3*w. What is the greatest common divisor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 8*v**2 + 3. Let c(u) = -3*u**3 - 9*u**2 + 2*u + 4. Let x(d) = -3*c(d) + 4*l(d). Let y(m) = m**3 - 8*m**2 - 9*m. What is 8*x(z) - 5*y(z)?\nAnswer: 3*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 221783150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*l - 35*l - 3*l**2 + 7*l**3)*(-8 - 16 - 34 - 12) in the form c + h*l + i*l**3 + r*l**2 and give r.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 13*n + 224. Let t be z(0). Calculate the greatest common divisor of 96 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*s + 2 - 2 + 2989*s**2 + 3318*s**2 + 13*s**3.\nAnswer: 13*s**3 + 6307*s**2 - 88*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -170 (b) 1\/3 (c) 3\/7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/53 in 6, -2\/55, -0.1?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238765918 or -238765917?\nAnswer: -238765918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77708159.\nAnswer: 191, 419, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**2 - 3*c**2 + 2*c**2)*((8 - 8 - 3*c)*(2*c + 0*c - 3*c) + 1 - 1 - c**2).\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084 - 8.66.\nAnswer: -8.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 702\/28 + 87\/203. Let q(f) be the first derivative of 16*f**3 - 4 + 7\/2*f**6 + 78\/5*f**5 - 6*f + p*f**4 - 3\/2*f**2. Solve q(v) = 0 for v.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 1. Let i(q) = 4*q**2 - 3*q - 2. What is -i(x) - 3*m(x)?\nAnswer: -x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b**4 + 3*b)*(7 + 12 - 8)*(0*b + 0*b + b) - 10*b**5 - 28*b**5 + 4*b**5.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*k + 21, 5*i = -k + 21 - 6. Let x(a) = -6*a. Let u be x(k). What is u rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -572. Let w = -324 + y. Suppose 4*z + 2*n = z + 146, 0 = 5*z - 5*n - w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 95*c**3\/6 - 145*c - 2. Let y(u) = 5*u. Determine y(v(d)).\nAnswer: 475*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(1\/5)*p**(-4\/3)\/((p\/(p*p*((p*p\/p**2)\/p)\/p))\/p) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.7, 0.3, 10, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6412*p**2 - 653*p**2 + 7861*p**2 + 12122*p**2.\nAnswer: 25742*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 14*u - 12. Suppose 0 = 8*h - 12 - 92. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w + 3. Let z = -223 + 48. Let p = -31 - z. Let s(k) = -p + 13*k - 9*k + 143. Give -2*r(u) - 5*s(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 0.1 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 3*v**4 + v**4)*(1 - 2*v - 1) - 90*v**5 - v**4 + 172*v**5 - 94*v**5.\nAnswer: -10*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -105230 (b) 3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u - 5. Let k(r) = -r + 1. Calculate h(p) + 2*k(p).\nAnswer: 6*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 5*x - 4. Let g be c(-3). Suppose f - 38 = 7*i - 3*i, -5*f + g*i = -118. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 188, 214, 252, 302?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 10 = 5*p, 0*p + 3*w = p. Let d be (40\/(-15))\/8 + 7\/p. Suppose 0 = -2*n + 6*n - 52. Solve 4*g + g - d*t = n, -3*g = 3*t + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.702944nm in centimeters?\nAnswer: 0.0000002702944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 21*o**3 - 537*o**2 + 999*o - 486.\nAnswer: 3*(o - 9)*(o - 1)**2*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20.8. Let p = j - 2.7. Let r = -187\/579 + -2\/193. Which is the nearest to r? (a) 0 (b) 1\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -36049 + 62448. What are the prime factors of f?\nAnswer: 26399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2024 + -11235?\nAnswer: -13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0*m + 9*m - 3 to r + p*m and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024185860 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/70 + 5*v**4\/56 - 3*v**3\/14 + v**2 + 39. Factor j(q).\nAnswer: 3*(q + 3)*(2*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*m + 93, 0*m + 3*u = -3*m - 99. What is the tens digit of ((-8)\/12)\/(1\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1*(-1)\/(-42)). Let w = -18 + k. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.18 - -6.18. Suppose 0 = 4*a - 3*m - 20, 0 = -2*a + 5*m + 3 + 7. Put r, a, -2 in decreasing order.\nAnswer: a, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(1\/90). Let r = h + -33. Suppose -3*t - 2*t + 400 = 0. What is the remainder when t is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5)\/d)\/(d\/(d\/(d\/(d**(-3\/13)\/d)))))\/((d\/(d\/(d\/(d**(1\/5)\/d))))\/(d*d*(d*d*d**(-5\/2))\/d*d)) assuming d is positive.\nAnswer: d**(-381\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r**4 + 2*r)*(3 - 4 + 4) - 486 - 2*r + 486 - r**4 - 59*r**3.\nAnswer: -7*r**4 - 59*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-96)*8288\/296.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 7)\/(-4 + 52\/(-8)). Is -2 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -1\/3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1703*k**2. Let n(i) = -i. What is n(g(p))?\nAnswer: 1703*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - o - 2*o + 9 = 0, -1 = -x - o. Let m = 9 - 26\/3. What is the third biggest value in -4\/9, -2, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 - 5*n. Let f be o(-6). What is the remainder when 15 is divided by 148\/18 + f\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3612*(234\/27 - 8)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - w**2 - 15*w**2 + 14*w + 20*w**2 - 7*w**2.\nAnswer: -3*w**2 + 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 8350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3313.\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2278, -4480, -6682?\nAnswer: -8884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-5)\/1 - 6. Suppose 2*p - 2519 = -3*p + 3*s, d*p - 2017 = 3*s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21205 - 20563. Calculate the remainder when k is divided by 162.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0 + 0*m**3 + 1\/3*m**4 - 1\/5*m**5 + 71\/2*m**2 + 87*m. What is the derivative of a(o) wrt o?\nAnswer: -12*o**2 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*j + 3928*j**3 + 98*j**3 + 96*j + 296*j + 850*j wrt j?\nAnswer: 24156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 63*i - 338. Let u be k(-5). Is -14 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275818.\nAnswer: 2, 137909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4206 + -1350. Is 119 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 3. Let i be d(3). Suppose -4*q - 3*k = 40, q = -i*k - 4*k - 23. Let o = q - -8. Is 2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/10))**(-2\/17)*(z**(-2\/7)\/z)\/z*z*z**(-1\/11))**(-2\/85) assuming z is positive.\nAnswer: z**(18174\/556325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 3. Let y be s(4). Let o = 18 - y. Solve -5*j + o = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/12*(-9)\/6. Let i be (-3)\/(12\/8)*10\/b. What is the units digit of 131*(8\/6 + i\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -349 in 7, 2\/13, -321, -0.08?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 359194684 - 42.2.\nAnswer: 359194641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from {s: 1, e: 2, u: 4, k: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 353926619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l - 15*l + 19 - l**3 + 10*l**2 + 15*l. Let w be a(8). Let q be 3 - (-208)\/7 - 6\/w. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/81 - 29\/(-9). Let -b + 9*i**3 + 12*i**3 - 2*i**3 + 27*i + 3*i**2 - 38*i**3 - 8*i**3 = 0. What is i?\nAnswer: -1, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22577627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, 46, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 92 = 4*z, 2*z - 3*a = -54. Let j be 4\/2 + -24*7\/z. Solve 3*m - 10 = -j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 5, -0.5.\nAnswer: -0.5, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2214 - -119. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833511?\nAnswer: 61, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 5175867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 10. What is the nearest to 1 in 0.2, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + h - 1. Let w be g(1). Suppose w*j + 20 = 7*j. Sort j, 3, -2 in decreasing order.\nAnswer: j, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**8)*h)\/(h\/h**(6\/11)) assuming h is positive.\nAnswer: h**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*k**2 + 0)*(-3 + 3 - 3*k) - 4*k**3 - 2*k**3 - 1 + 2*k**3.\nAnswer: -13*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/500, 2 in increasing order.\nAnswer: -1\/500, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-72)\/(-39) - (720\/65)\/(-6). Solve s*g = -t + 9, 2*g - 6*g - 3*t + 19 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000260397 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-202)\/(-6) + (-135)\/81. Let u = r - 28. Factor -3\/2*p**u + 0*p - 3\/2*p**2 + 3*p**3 + 0.\nAnswer: -3*p**2*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 708\/1003*(-1)\/((-33)\/(-11))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76480451 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/7 + 3050*h**3\/7 - 172974*h**2\/7 - 125736750*h + 377420904 = 0?\nAnswer: -452, 3, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by 135\nAnswer: -26\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 11*w + 36 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 181, 8, 1380, 2 in descending order.\nAnswer: 1380, 181, 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116 + 1116 + 11*a + 32*a - 41*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -6*m + 4*m. Suppose 105 = 4*h + 5*b, 3*h + 2*b - 70 = -0*b. What is the remainder when m is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193402*v**3 - 193399*v**3 - 1825*v + 1825*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4 - -3) + (-9 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-21) + (-36)\/(-77). Let d = -1706\/3 - -568. Which is the closest to d? (a) -2\/7 (b) i (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -232*h - 47. Let r(j) = -46*j + 2. Let i(s) = -m(s) + 5*r(s). What is i(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from crrms?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1003*w - 19064. Calculate u(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1253862, 2507851, 3761838, 5015823, 6269806, 7523787?\nAnswer: 8777766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -111001111110011?\nAnswer: -111010000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + -8 + -2 - 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**3 + 3 - 2 + 0. Is 11 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 13*h + 4. Let f be k(11). Let j be ((-2)\/3)\/(f\/(-117)). Solve 3*p + 3*q - j = 0, 5*q - 11 - 14 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/71, 2, 7, 3 in decreasing order.\nAnswer: 7, 3, 2, 2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 45 + 96 + q**2 - 37 in the form d*q**2 + o + u*q and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -685 or -674?\nAnswer: -685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/420 - 17*y**4\/84 + 145*y**3\/42 + y**2 + 14*y - 6. Factor h(a).\nAnswer: (a - 29)*(a - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3240 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1*55\/(-1265)*23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12506 - 2*j + 12506 + 138*j**3 + 7*j**2 + 4*j**4 - 2*j**4 - 5*j**2 to the form a*j**2 + w*j**3 + h + g*j**4 + f*j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*j + 6 = 0, w + 4*j + 4 = -0*w. What is the first derivative of -2 + 6 - 2 - w*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3055)\/(-91) - 4\/7. Suppose 3*m = -5*v + 202 + 15, 4*m + 4 = 0. What is the greatest common factor of v and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1178047250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68410290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(38)\/sqrt(2)*-4)*-5.\nAnswer: 25 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23203321220 (base 4) to base 14.\nAnswer: -58c65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u + 5*u)*((3 + 2 - 3)*(-4 - 1 + 3) + 1 + 2 + 0 + 12 - 6 + 9) in the form q*u + w and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3397570.\nAnswer: 2, 5, 11, 67, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*t + 53724 = -11691. What is the highest common factor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ppppgpgpgp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*c - 5*i = 30, 2*c = -i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1927.6 and -671505?\nAnswer: 673432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11547038 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(8 - -2))\/(7\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 4*k - 4. Let f(b) = 2*b**2 - 7*b + 7. Let p(h) = 4*f(h) + 7*z(h). Let x(w) = 6*w**2. What is x(p(q))?\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 + 2*h**3 - 2*h**4 - 8*h**2 + 9*h**2 in the form v*h + m*h**3 + d*h**4 + x + k*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24*2)\/4 + -3. Let m be (-2 - 1)*a\/27. Suppose 15 = -3*v - 0*v. Put m, 2, v in decreasing order.\nAnswer: 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/77 and 1040\/630 - 1\/3.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1672 and 4268.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/7 + 10*l**2 + 34*l - 310\/7 = 0. Calculate l.\nAnswer: -31, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + j = -23, -j - 26 = 4*z - 2*j. Let i(d) = 4 - d**3 + d + 5 - 7*d**2 - 4 + 2. Let p be i(z). Solve -4*v - v = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 136. Calculate the least common multiple of s(20) and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**3 - 118*w**2 - 7653*w + 88. Determine t(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 + 72 = 0. Let y = b - 23. Calculate the remainder when 34 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9230 is divided by 4608.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d - 40. Let k be n(6). Solve -5 = -i - 5*o, 5*i - k*o + o = -1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -14\/11 (c) -1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5990302.9 to the nearest 1000.\nAnswer: -5990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 1013.\nAnswer: 47\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57547.\nAnswer: 7, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h, -1 - 14 = 2*u - 4*h - 1 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22883 and 0.7.\nAnswer: -0.160181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 4. Let d be f(-5). Find the common denominator of -33\/2 and -106*(-1)\/12 - d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4317*o + 144495 = 133518 - 239409 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + (-98 - -62) + (0 - 3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = -2*w - 3*h, -5*w + 15 = -5*h. Suppose -w*q - 2*o + 4*o = 564, q = -o - 117. What is the common denominator of q\/4*(-28)\/108 and 123\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -9*k**7\/70 + 3*k**4\/2 - 2719*k**3\/6 - 37*k**2 + 9. Differentiate j(m) wrt m.\nAnswer: -108*m**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14376, -28502, -42604, -56670, -70688, -84646, -98532?\n\"Answer: 2*h**3 - 14140*h - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -1283 (c) -3 (d) 0.0415 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 75093843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3782 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9103 is divided by 217?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.9346 + -0.0654. Is -1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 4*c + 6. Let p = 26 + -43. Let t = p + 14. Let l be (-2)\/(1*t\/6). What is y(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268325.51 take away -2?\nAnswer: -268323.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1221836 divided by 11.\nAnswer: -111076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 53. Calculate the remainder when 10 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (368\/6)\/(5\/5). Let o = -62 + t. Let s = 10 + -6. What is the closest to -1 in s, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25895 is divided by 2039?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x. Let k(f) = -268063*f**2. Determine p(k(j)).\nAnswer: 804189*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.413 and -3?\nAnswer: -34.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*m = -350. Let w(x) = 74*x**2 - m*x**2 - 103*x**2. Let c(r) = -2*r. Determine w(c(d)).\nAnswer: -316*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.7994622 seconds in weeks?\nAnswer: 0.0002642186875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 74, 261, 628, 1235, 2142, 3409?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 40 - 14 - 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61322 (base 8) to base 13\nAnswer: -b690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176557.\nAnswer: 176557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*h. Let q be ((-1)\/h)\/(2\/8). Let m(a) = a**3 + 4*a**2 - a - 1. What is m(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 26. Let y = -7 + 20. What is the highest common divisor of s and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/(r*r**(2\/3))*(r**4\/r)**(1\/4))**17 assuming r is positive.\nAnswer: r**(-901\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q - 4*d - 4 = 0, 20 = 4*d. Suppose 4*w + 9 + 3 = 0. Let o = q - w. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -139\/5 and -0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119.28 - -118.88. Sort d, 42, -0.1, 5, 6.\nAnswer: d, -0.1, 5, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2 + 3*c*m - 21810*c - 26996220*m wrt c?\nAnswer: -6*c + 3*m - 21810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9261 and 113337?\nAnswer: 2380077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83158021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 67 = -277. What is the remainder when 55 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -200. What is the greatest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1627 = 12*p + 595. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/7)\/(q**5*q)*(q*q**(2\/3)*q*q)**(3\/17) assuming q is positive.\nAnswer: q**(-654\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 212221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884*i + 7480 = -873*i. Does 34 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*r**3 - 4 - 7*r + 24*r**3 - 13*r**3)*(-2*r + 0*r + 5*r)*(2 - 2 - 5)*(2 + 1 - 4) as p*r + f + j*r**2 + k*r**4 + y*r**3 and give j.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3438253 divided by 2?\nAnswer: -3438253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1872\/160)\/(-1*(0 - 1))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3 - 2. Suppose 4*h - w - 7 = 0. Suppose -2*y + 2 = -h. Solve y*u + t = -2, -t = 4 - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -183 and 22350.71.\nAnswer: 22167.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6137204 and 1734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 37dd?\nAnswer: 37e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**28\/(i*i*i**(-1)\/i) assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(36))\/sqrt(6) + (3*sqrt(12)\/sqrt(4) - (sqrt(3) + (-1 + sqrt(3))*-3)))**2.\nAnswer: -32*sqrt(3) + 283\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -2\/3 (c) -0.2 (d) -4 (e) 0.2 (f) 4 (g) 6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -764 - 67?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/119, 1\/6, 201.27 in decreasing order.\nAnswer: 201.27, 1\/6, 2\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-27))\/2 + (-11)\/9. Let p = 8 - j. What is the derivative of -p + 2 + 27 - 21*o wrt o?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1224)*2*3)\/(-2*sqrt(50) + sqrt(10)\/sqrt(5)*5).\nAnswer: -36*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 2*sqrt(68)*1 - (sqrt(68) + (sqrt(68) - (1 + sqrt(68))) + -2))**2 + 0.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*r = 17, 3*u - 5*r = 5*u - 5. What is the units digit of 6\/u*(-105)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.78 + -14.77991176. Round r to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 31*i**2 - 2*i. Let v(g) = 23*g - 44. Let f(o) = -6*o + 12. Let d(w) = -22*f(w) - 6*v(w). Calculate y(d(x)).\nAnswer: 1116*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 48*r - 10. What is the tens digit of b(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 696 = 2*w. Let i = w + 261. Let l be (-1 + 1)\/(-4) + 29. Calculate the highest common divisor of l and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {w: 4, y: 1, l: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -23. Which is the biggest value? (a) 2\/11 (b) 6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7 + 1 = 4*b, -3 = -3*b + 3*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*s - 78*s + 11387*s**2 - 67*s.\nAnswer: 11387*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/3 + 5*l**2 - l - 5. Give y(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39558 divided by -19\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 12. Let s = d - 3. Let f = 1 + 1. What is the remainder when s is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 580.3 from -64515.45.\nAnswer: -65095.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**3 + 132*o**2 + 292*o + 96 = 0.\nAnswer: -24, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Let s(c) = c**2 - 7 + 11*c - i*c + 0*c**2. Let z(w) = 44*w + 31. Let j(g) = 7*g + 5. Let b(t) = -25*j(t) + 4*z(t). Calculate -5*b(p) + s(p).\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.9795 + 11.0655. Let h = -103 - m. Is 2\/7 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - -6. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*1*(-728)\/65.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 5 (c) -375\/13 (d) -2\/11 (e) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -245*139\/((-267575)\/330)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.1 and -1.48?\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 1321*o**6\/15 + 515*o**2 - 2033*o. Differentiate r(u) with respect to u.\nAnswer: 10568*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 - 149 = -5*s + 2*x, -130 = -2*s - 3*x. What is the second derivative of -123*j**3 - s + 2*j + 7*j**4 + 128*j**3 - 127 wrt j?\nAnswer: 84*j**2 + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8347790*j**2 - 6796208*j wrt j.\nAnswer: 16695580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by 1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61\/(-549))\/(26\/18).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43076 is divided by 365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:08 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/2599, 0.2, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y + 324 = 3*q, 204 = 3*y - 3*q. Let g = y + -1388\/21. Calculate the common denominator of g and -49\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1685 and 50777812.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 2448?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14164763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619337*x + 4640 = 619482*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*z + 1207 = 40677 + 1663 + 7998 for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (1 - (-150)\/(-24)). What is the nearest to -1 in 2, r, -22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 + 13*h - 4. Let f be b(6). Suppose t = 5*k + 6, -f*k + t = -k - 2. Is 36\/(-6) + 1663 + 0\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -644 minus 190144?\nAnswer: -190788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-624)\/680 - (-2 + (-6)\/(-5))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/11 (c) -118.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/824 + (-50)\/(-200)*3.\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k - 2. Let z be i(1). Suppose -7*s + z*s = 0. Is -1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(35)\/sqrt(5)) - -2*sqrt(432))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1\/2, 4\/19, -15 in ascending order.\nAnswer: -15, -1, 4\/19, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 11*h = -190. Let k = -25 - h. Let o = -8 + k. What is the remainder when 18 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 720275747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y. Let p(l) = 12*l**3 - 9*l**2 - 9*l. Determine -18*o(w) + 2*p(w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 3*k + 16*k + 30, k + 42 = -f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*p = 0, 0 = 5*u - 4*p + 2 - 32. What is the remainder when 638 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 45*r - 404. Let q be f(17). Solve 6*y - 15*y - q = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4074, -8142, -12210, -16278, -20346, -24414?\n\"Answer: -4068*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29885107 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*r + 2275 + 10750, -2*z = -5*r - 5196. Let a = -10473\/4 + z. Calculate the common denominator of -49\/96 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5\/(-4 - 13\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -43, -92, -161, -250, -359, -488?\n\"Answer: -10*x**2 + x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*z + 28*z**2 - 257*z)*(84*z - 79*z + 109*z).\nAnswer: 3192*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15914637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120376463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 922344 divided by 4?\nAnswer: 230586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*-41785.\nAnswer: -2214605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = t, 0 = 2*t - t - 4. Suppose 4*v + 8 = 0, -u*v + 0*v = 3*k - 101. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/(j\/((j\/(j\/(j\/(j\/j**(1\/14)))))\/j))*j**(1\/21)\/j*j\/(j**11\/j) assuming j is positive.\nAnswer: j**(215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 5}. What is prob of picking 2 u?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1)*3 + sqrt(539) + sqrt(539) + 3 + 2 + 3 + sqrt(539) + sqrt(539) + 0 + sqrt(539) + (sqrt(539) - (sqrt(539) - (2 + sqrt(539)))) + -4)**2.\nAnswer: 378*sqrt(11) + 43668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k - 5. Let t(x) = 1. Let q(s) = o(s) - 2*t(s). Let a be q(6). Let i = a + -25. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*n + 30 = -2*o, 4*n + 54 = o. Sort -3, o, 5, 6 in ascending order.\nAnswer: -3, 5, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - (-16)\/10. Let g(l) be the second derivative of 3*l**5\/20 - l**4\/3 + 2*l**3\/3 - 3*l**2\/2 + 3*l. What is the units digit of g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -557219*-401\nAnswer: 223444819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -1, -4, 13 in increasing order.\nAnswer: -4, -1, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1868, 1908, 2010, 2204, 2520?\nAnswer: 2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 41 - 344 + z**2 - 584 + 131 - 80*z.\nAnswer: 4*(z - 27)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/357490 and 65\/393239?\nAnswer: 3932390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -127\/97?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7344 = -4*m - 0*m. Let a be (-483)\/m - 2\/(-8). Let q = 1993\/306 + a. Find the common denominator of q and -137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291294708?\nAnswer: 2, 3, 409, 59351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*s + 4 = 4*s, -3*i - 3*s = -24. Let m be (i - 2)\/(2\/4). Suppose -5*h = -m*h - 27. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.295 * 131.\nAnswer: 1086.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 1, w: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47051*o = -47069*o + 288 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-79)\/21 + (-3)\/(-9). Let m = 159\/77 + a. Calculate the common denominator of m and (-5)\/((-450)\/(-515)) - (-56)\/252.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28295\/301 - -659\/7. Let c = 8\/559 + q. Let f = -2577 - -54119\/21. What is the second biggest value in f, c, 1, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 4*c - 2*c - 3*c as j*c + d and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*c + 62 = 0, -42 = -2*b - c + 3*c. Let s(p) = p**2 + 24*p - 19. Is s(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3*q**5 - q**3)*(7 + 6 + 3)*(-3 + 10 - 16).\nAnswer: -432*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, 2, -2 in ascending order.\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**2 + 0*m**2)*(2*m**3 + 2*m**3 - 3*m**3 + (3*m - 3*m - 2*m)*(2*m**2 - 4*m**2 + m**2) + 5 - m**3 - 5).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 396 - 284. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, g: 2, i: 2, x: 1, y: 2}. What is prob of sequence gry?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 - a**3 + a**2 - 2*a + 11. What is the least common multiple of 20 and r(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0, 0.2 in ascending order.\nAnswer: -4\/7, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let u(p) = -198394*p**2 + 3 - 3 + 199411*p**2. Give z(u(s)).\nAnswer: -1017*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 31792 = 10642. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, s: 2, e: 1, a: 1, z: 3}. What is prob of sequence ses?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 13*g**4 + (g - g - 2*g)*(-g**3 + 0*g**3 - g**3) + g**4 - 5*g**4 + 2*g**4 - 204 + 4*g**2 + 2*g**4 + 29*g + 204.\nAnswer: 17*g**4 + 4*g**2 + 29*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 252. Calculate the highest common divisor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y)*(2*y**4 - y**3 + y**3) - 11*y**5 - 12*y**5 + 35*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10 + 2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a + 89. Let o be b(-11). Let z = 0.13 + -0.143. Does z = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 7443*v**2\/4 - 13838391*v\/4 + 41582187\/4.\nAnswer: -(v - 3)*(v + 3723)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6\/5)*m**(1\/2))**(2\/15))**34 assuming m is positive.\nAnswer: m**(34\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*g - 2, 3*s - 8 = g + 2. Suppose h = -s*l + 4 + 5, 3*h = 4*l - 21. Solve 3 = p + 2*p - l*v, -v = 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 11*t**2 + 9*t + 166. What is the remainder when n(15) is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 182*p**2\/5 - 1331*p\/5 - 1512\/5.\nAnswer: (p - 8)*(p + 1)*(p + 189)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -464, -2, -4 in descending order.\nAnswer: -2, -4, -40, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6870, -6844, -6788, -6690, -6538?\nAnswer: -6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 21*g + 7. Let y(o) = -7*o - 2. Let l(t) = 2*p(t) + 7*y(t). What are the prime factors of l(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:46 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/(r*r*r**25*r*r))\/(((r**(-1)*r)\/r*r)\/r)**(-36) assuming r is positive.\nAnswer: r**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 24054*r**2 + 264261*r + 240210.\nAnswer: 3*(r + 1)*(r + 10)*(r + 8007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -55. Let w(k) = 0 + 6 - 6 + p*k. Let u(x) = 1242*x - 161. Let b(t) = 23*t - 3. Let q(h) = 161*b(h) - 3*u(h). What is q(w(d))?\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 406*u**2 + 201*u**2 + 203*u**2.\nAnswer: -2*u**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0366 and -2.753244817.\nAnswer: -2.716644817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 5, 87 in decreasing order.\nAnswer: 87, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1)*6\/(-4). Suppose 3*r = -x*g + 18, -4*g + 9 = -3*r + 2*r. Suppose -g*d = -2*d - 3. Solve -8 = -4*z, d*l + 0*z - 3*z + 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*s**3 - 5*s**2 + 38*s wrt s.\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 2*o**2 + 2*o + 7. Let s be d(-6). Let n = 248 + s. Suppose -4*m = -5*m + 9. What is the greatest common divisor of m and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + -178001*1. Let b be 0 - 9\/((-18)\/w). Round b to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.6 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q**(2\/5)*(q**4\/q)\/q**10)**(4\/11) assuming q is positive.\nAnswer: q**(-1148\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*u + 18, -17*u + 24 = 4*s - 13*u. Suppose -5*a = -3*b - 761, -s*b + 749 = 5*a + b. Calculate the remainder when a is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-14))\/((-96)\/(-448)). Suppose z*l = -u + 2323, 5*l - 552 - 2354 = -2*u. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 3422283 + 3422317 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*((-80)\/(-12))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 378a22 (base 16) in base 5?\nAnswer: 1412433332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250 - 133. Let l be -2 + (-18)\/(-15) - 8214\/(-30). What is the greatest common divisor of w and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:00 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8227962177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111.89 + -111.69. What is the second smallest value in -3\/2, 0.8, 0.06, d, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q + 9. Let p be x(-7). Let g be 43\/9 - (-2)\/p. Factor 17*r**3 - 5*r**4 - 4*r - 3*r**4 + 4*r**g - 10*r**4 + r**5.\nAnswer: r*(r - 2)*(r - 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 8) to base 16\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 11029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.3 + -22. Let d = z + 1.7. Let p be (3 - 2) + 2*-1. Which is the nearest to p? (a) 5 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) 0.2 (c) 154 (d) -0.16 (e) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*q**5 + 513268*q**4 - 223968142*q**3 - 42693192*q**2 + 6097032*q = 0.\nAnswer: -2\/7, 0, 2\/21, 873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 6*h + 633. Let w = h + 69. What is the closest to w in -1\/5, 5, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 162, 375, 748, 1335, 2190, 3367?\nAnswer: 4920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 320169861 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -12 - (-57 + 7) - (-1 - 0) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -97*b - 423. Give g(-6).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*b + 4093*b + 3808*b + 2659*b + 381*b to the form q*b + j and give q.\nAnswer: 10881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((2\/((-40)\/(-124)) - 7) + 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-250)\/(-15))\/(-25))\/(((-12)\/(-135))\/2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*k**2 + 1 + 2*k**2 - 5*k**2 + 8*k**2 + (-2*k - k + 2*k)*(-k + 1 - 1) + (-4 + 2 + 3)*(-2*k**2 + 2*k**2 - k**2).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 5. Is j\/3 - 58\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321 + -96. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/9, -1, 5\/3, 4?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3506, -3251, -3012, -2795, -2606?\n\"Answer: -s**3 - 2*s**2 + 268*s - 3771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -7*s + 4*s + 83, -5*v + 4*s + 65 = 0. Let t(w) = 2*w - 33. Determine t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1915562764.\nAnswer: 2, 1489, 321619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(612) - (sqrt(612)*2 + 5)) + -1 + sqrt(612) + sqrt(612)*3)**2.\nAnswer: -216*sqrt(17) + 5541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-2)\/2) + 7. Suppose g*j - 10*j + 24 = 0. Suppose 0 = 2*m - j*m - 20. Let d(h) = 2*h + 7. Calculate d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + ((sqrt(19) - (-3 + sqrt(1216) + sqrt(1216) - sqrt(19))) + sqrt(19) - sqrt(1900)*-2) + 0)**2 + 1.\nAnswer: 98*sqrt(19) + 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i = -48*i - 168. Suppose 64 = -0*s + 8*s. What is the remainder when i is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*b + 2*b + g, 3*g + 58 = -4*b. Let v = b - -28. Calculate the remainder when 22 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020101 (base 3) to base 13.\nAnswer: 10c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 - 57. Let n(j) = 2*j - 21. Let h be n(d). Let o = -2 - -2.2. Which is the nearest to h? (a) 2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25bb1 (base 13) to base 3.\nAnswer: -10120011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/3 - 1954*h**2\/3 - 106396*h\/3 - 68328 = 0.\nAnswer: -1898, -54, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*r**2 + 43*i*r + 86*r**4 - 3 wrt r?\nAnswer: -6*i + 1032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = v + 2*v + 420*y, 7 = -v - 43*y - 39*y + 79*y for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 66*p + 1718. What are the prime factors of x(55)?\nAnswer: 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1937705759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -0.09376 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1566006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 526, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*k + 10 = 0, 0 = 2*g + k + 1722 - 1715 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, f: 2, l: 2, e: 2}. What is prob of sequence ese?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -715751*x**4 + 413155858 wrt x.\nAnswer: -2863004*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - 2) - (4 + 2) - (2 + -35).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/2))**(-2\/33)\/(((u\/(u\/(u*u\/(u*u**3))))\/u)\/(u\/u**(-2\/19)))*(u**1)**38\/(u**0*u*u*u**1\/u*u*u) assuming u is positive.\nAnswer: u**(23873\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((31580\/(-3))\/5)\/((-12)\/3). Let b = l + -525. Factor b*p - 2\/3 - 2\/3*p**2.\nAnswer: -2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 19993064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of -3 + 4 - ((-7 + 6)*5 - 5154)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35079.086 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*v = 4, 0 = 2*z - z - v + 2. Suppose -20 = -4*h, z*a = -a + 3*h + 1116. Suppose a = 2*o + 2*u - u, 15 = -3*u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 55*t**3 + 12263 - 3*t - 12263. Give i(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:18 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 4528 - 21*d + 21*d + 459.\nAnswer: 3*d**2 - 4069","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (-22)\/8)*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7697 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330466*d - 660947*d + 330468*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233\/6916 - -1\/494. Let b(k) be the second derivative of 2\/7*k**2 + 2\/21*k**3 - 1\/210*k**6 + 0 - i*k**4 + 3*k - 1\/35*k**5. Let b(y) = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5465?\nAnswer: 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840 + 3934 = -138*i + 806 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/7, -1, 42, -0.5 in ascending order.\nAnswer: -1, -0.5, 0, 3\/7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*q - 107, -4*q + 0*l - 4*l + 76 = 0. Do q and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 150421700 to the nearest one million.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:22 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 96, -12, -85, -5 in ascending order.\nAnswer: -85, -12, -5, -2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 44*v - 86. Give y(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 19. Let v = -7 + 11. Find u, given that 70*u**3 + 2 - 15*u**v - u**2 + 11*u**2 - 45*u**5 - 7*u + m - 18*u = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 7*f - 9. Let n be d(4). Suppose -n*a + 0*i + 42 = 3*i, a - 22 = i. Suppose 5*w - 142 = a. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4200)\/(-7140)*153\/(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.07 - 2. Let r = -1.9719 - -0.0799. Let z = r - 0.108. Sort v, -5, z.\nAnswer: -5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887 less than 0?\nAnswer: -4887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - c - 9*c - 10*c - 8*c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - sqrt(84)*2*3 - (sqrt(84)*3*-3 + sqrt(84)))\/(-3*sqrt(1200) + 1*sqrt(1200)).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - 192\/(-6 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30393831?\nAnswer: 3, 13, 779329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 5\/4 (c) -1 (d) 3\/2 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111100 + 10100000011110?\nAnswer: 1111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09804 and -1.8.\nAnswer: 0.176472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-40) - 1581\/(-24) - -2. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 12, q: 7}. What is prob of picking 1 r and 1 q?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**5\/5 + 104*y**4\/3 - 998*y**3\/3 + 792*y**2 - 132*y + 1. Factor l(u).\nAnswer: -4*(u - 99)*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100d28 - -5?\nAnswer: -100d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63715261 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4803.165 hours?\nAnswer: 288189.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51.46? (a) 1\/11 (b) -3\/2 (c) -1 (d) 206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 717*h**4\/4 - 405*h**3 - h + 2346. What is the third derivative of o(p) wrt p?\nAnswer: 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3095 is divided by 70.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let d(c) = 30 + c**2 - 12 - 18 + 31*c. Determine d(n(q)).\nAnswer: q**2 + 31*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -4. Let g = -143 + 146. Suppose 0*u + g*u - 3 = 0. Sort u, 2\/5, m, -0.1.\nAnswer: m, -0.1, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 410. Let y(o) be the first derivative of -2*o**2 - 1759. Give y(p(b)).\nAnswer: -12*b - 1640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 3. Let f = -1 + -4. Let w(m) = 5 + 22*m + 1 - 20*m. Let c be w(f). Let r(b) = -3*b - 4. Give c*l(i) + 3*r(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -3 (c) 2 (d) -28489 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1183 + 1183 - 606*p)*(-3*p - 1 + 1)*(2*p - 3*p + 0*p).\nAnswer: -1818*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 592838*s**2 - 58456 wrt s?\nAnswer: 1185676*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*z = -b - 14, b + z = 2. Suppose -3*o - 28 = -4*d, 3*d + o = -d + 28. Let k(n) = n - 11. Let l be k(d). Is l > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -1\/2*g**3 + 3\/2*g**2 + 3*g + 0. Is d(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.049994599 + -116.05. What is w rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v + 593 = -3*s, -s + 613 = 4*v. Is (-15542)\/v*(0 - 44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*b - 509594 = 0, -254810 = -2*d + b + 4*b. Let i(u) = 11*u - 176. Let v be i(16). Suppose -21*a + 23*a - d = v. Round a to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 37. What is q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - r + 12*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(162) - (-1*(-2 + sqrt(162)))**2) + -4.\nAnswer: -168 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 12956 = -18345 - 4628. List the prime factors of m.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 25. Calculate the remainder when 13 is divided by c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q + 135. Let w be u(0). Is 135 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 (base 8) in base 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3036*p**2*r**3 + p**2*r**2 + 7*p**2*r + p*r**3 + 3*r**3 + 2*r**2 - 211 wrt r.\nAnswer: -18216*p**2 + 6*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 11*i + 27. What are the prime factors of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 191219678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8640 + 14 - ((-6)\/4 + (-165)\/(-30)). Calculate the highest common factor of n and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003999346 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 + 19 = 0. Let r(d) = 2*d - 7. Let q be (1 + -4)\/((-1)\/2). Let c be r(q). Solve b + 0 = c*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/7 + 3*i**2 + 18*i\/7.\nAnswer: -3*i*(i - 3)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Solve -d*g + 4*g + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 25 - -21 - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*l - 18, l + 325 = -4*h + 319 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -1\/9, -0.6, 204, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -406 (b) 0 (c) 0.4 (d) 4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1686*u + 3459. Let z be m(-2). Sort z, -1, 1, 4.\nAnswer: -1, 1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1639\/612 - 2\/51. Find the common denominator of d and 13\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 + 3867236*z\/5 - 23203424\/15.\nAnswer: 2*(z - 2)*(z + 5800856)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + b**2 + 3*b**2. Let f(y) = -3*y**2. Determine a(f(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23717\/4 + -5929. Suppose -3 = 8*r - 19. What is the fourth biggest value in -0.2, r, 49, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/49)\/(14\/49). What is the least common multiple of k\/(-26) - 3141\/(-117) and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 1. Let r = 8 - 4. What is the remainder when 42 is divided by m(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-4)*(-36)\/(-30) and (-10)\/(9600\/12495) + 12.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3294476 = -5\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4564\/(-10) - -2 - (-20)\/50. Let d = -262 - c. Suppose -w + d = 5*w. Calculate the remainder when 127 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*v - 16, -112264*u - 18 = -2*v - 112260*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 q when three letters picked without replacement from qqmhj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038219 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5 - 38. Suppose -6*a + 5 = -7. Calculate the lowest common multiple of q and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 4, -2112, -5, 0 in ascending order.\nAnswer: -2112, -58, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5.3. Let w be (2\/(-12))\/((-8)\/32). Which is the nearest to 1\/4? (a) j (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1647 = 26*f + 1179 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -2.96. Let q = 2.6 + -2.4. Which is the nearest to q? (a) 5 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/3 - 2*p**2 + 11*p - 12. Is n(5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75522655*g**4 + 25061184*g?\nAnswer: -906271860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75954635, -151909258, -227863871, -303818468, -379773043?\n\"Answer: r**3 - r**2 - 75954627*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7384*c + 52269 - 52269 to h + j*c and give j.\nAnswer: -7384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969796171 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74277 is divided by 2122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 57 = 27. Suppose -512 = -l + 3*v, -4*l + c*l + 504 = -5*v. Does 35 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0 + 7 - 4*c + 2*c as o + u*c and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t**2 - t + 1. Let p be r(0). What is the third derivative of -1 - 3*z**6 - p + 4*z**2 + 5*z**6 - 50*z**6 wrt z?\nAnswer: -5760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043438 rounded to 6 decimal places?\nAnswer: 0.000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 4:23 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*24\/(-84)*(-1)\/17. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - 11*w**2 - 32*w - 24. Let h be m(-4). What is the greatest common divisor of 296 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*u = -59*u + 167*u - 55*u - 588 for u.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - 27*h**2 - 46*h - 29. Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (67\/(-10) + 7)\/(6\/(-4)). Which is the second biggest value? (a) -0.16 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 + 4 = 0, -5*t + 11 = l. Suppose -l = -g - 3, -5*g + 10 = 5*w. What is the nearest to -1.6 in -4\/7, 1, w?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 59 = 5*l - 0*l, -2*m = -2*l - 62. Let x be -3 + (-6 - -3) - -22. Calculate the greatest common factor of x and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 6*p - 178. Let m = -114 + p. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 34 = 11*z - 13*z - 2*h, -38 = -4*z + 2*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 5*t - 377 - 11*t + 12*t.\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 3\/5 (b) -8 (c) 0.1 (d) 0.4 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q\/q**(-1\/6))\/q))*(q**(-6\/11)\/q)\/q*(q**(1\/2)\/q)\/q*q**(-2\/7) assuming q is positive.\nAnswer: q**(-962\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 2890*d + 85 - 47 in the form g + k*d and give k.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.022, -5, -7, -18 in descending order.\nAnswer: 0.022, -0.9, -5, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqqqrq. What is prob of picking 1 q and 1 r?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - (sqrt(77) + 5*sqrt(77))))\/(sqrt(396)*-5) + 2.\nAnswer: -sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 114*p - 276 = -822 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1297*j - 7659. Calculate l(-6).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -43*g - 10*g. Let c(d) be the third derivative of 0 + 1\/30*d**6 + 2\/3*d**3 - 1\/15*d**5 + 24*d**2 - 1\/6*d**4 + g*d. Factor c(v).\nAnswer: 4*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 5. Let t(x) = 2*x - 12. Let l(o) = 7*n(o) - 3*t(o). Let j(q) = 4*q**2. Calculate l(j(z)).\nAnswer: 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*i + 49 = 0, 319 = -4*m - 3*i + 93. List the prime factors of 8\/16 + (-14)\/4 - m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t - 9*t + t. Let v(i) = -i**2 - 9*i - 5. Let b be v(-8). Let n(s) = b*s**2 - 2*s**2 + s**2. Give n(j(q)).\nAnswer: 242*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, d: 7, v: 3, m: 7}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/14 (b) -0.1 (c) 7 (d) -1 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 + 1004?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10047.90327 to the nearest integer.\nAnswer: 10048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3111013 - 233232?\nAnswer: -10010311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 1247398857 - 1247398857.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -0.5 (c) -13 (d) 113 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let x be p(-3). Let b = x - -3. Let o(q) = q - 4 + b + 2. Calculate o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = 16. Let g be z - -3 - (1 + -4). Suppose -m = g*c - 20, -c = -2*m - 3*c + 30. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2615*o - 13500?\nAnswer: -2615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(1\/2))\/b))**35\/((b**(3\/5)\/b)\/(b*b**(-5)*b)))**(4\/7) assuming b is positive.\nAnswer: b**(298\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 5*u = 2*c + 2, c = -s*u + 6*u - 2. Suppose -m + 3*l = 3*m - 5351, -u*m = -2*l - 2674. What is m rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.5 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)\/((z**(-16)*z)\/z))\/((z*z\/(z**(3\/8)*z))\/z*z**(-34)\/z))**(-21) assuming z is positive.\nAnswer: z**(-25781\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwqwwp. Give prob of sequence wpp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-36)\/21 + 18\/(-63). Suppose h + 5*h - 18 = j. Solve -4*q = -4*f - 20, 0 = f + f - h*q + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/72383 - 7165693\/8106896. Calculate the common denominator of o and 73\/1064.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220 + 11?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a*a**(-4)*(a\/(a*a**(-2\/15)*a))\/a**(-2\/7) assuming a is positive.\nAnswer: a**(-376\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 236. Calculate the highest common divisor of 29 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.751 times -967.3?\nAnswer: 726.4423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5817, 8017, 10217, 12417?\n\"Answer: 2200*h + 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-4)\/(-8) + -2. Put b, 2, 0.3 in descending order.\nAnswer: 2, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g - 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - i = -2*n - 43, 3*n = -i + 123. What is the greatest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 257759 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {c: 1, b: 2, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/48 - 17*i**3\/6 + 195*i**2\/8 + 195*i. What is x in y(x) = 0?\nAnswer: 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(-4 + 4 - 2*a) + a**2 + 2 - 2 + 3*a**2 - a + 0*a - 5*a**2.\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yyyhyhhyyhhy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1260 by 6.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1615 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -194, -421, -738, -1145, -1642?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-350))\/(4\/(-10)). Which is the nearest to -0.1? (a) 0.5 (b) -2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6129, 12240, 18351?\nAnswer: 24462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3*3\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1011220021?\nAnswer: -1011220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(10 - (-2 - -7))*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434491483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2877.953 millennia to centuries.\nAnswer: 28779.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23136209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08049 from 0.23.\nAnswer: 0.14951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v - 25*v - 2*v**2 + v**2 + v**3. Let b be c(1). Let q = 6 + -4. Solve q*l + 4 - 2 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6446165 years to centuries.\nAnswer: 0.006446165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00872267 rounded to five dps?\nAnswer: 0.00872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 76*z**3 + 72*z**2.\nAnswer: 4*z**2*(z - 18)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, h: 2, d: 1, v: 2, i: 3}. What is prob of sequence ttvt?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/224)\/(((-111)\/18)\/(-37)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let z(d) = -d - 6. Determine -5*b(m) - z(m).\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/990*(76\/(-171))\/(2\/(-36))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*w - 12 = 0, 1 = 5*x - w + 14. Let s = 34 + x. Let k = -18 - -35. Calculate the remainder when s is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605928 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/(2\/(-6)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 29*a - 4*h - 46, -5*a = 5*h + 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -96*i**2 - 79*i - 2. Determine l(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 4*s - 16, 5*l + s - 9 = 6*s - 9*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:51 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 1460593 = 3*p, 5*p - f = -2434310. Let l = p + 277861. What is l rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7747 is divided by 7741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 6, 22, -4 in increasing order.\nAnswer: -4, 2, 6, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((225\/20 + 6)*40\/15)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*a**5 - 67*a**3 - 27*a**2 + 23 wrt a?\nAnswer: 720*a**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33898 - -109565. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*i**6 - 112224*i**5 - 145*i**6 + 112225*i**5 + 1771*i**2 wrt i.\nAnswer: -25320*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let i(n) = -4*n - n + 3*n + n + 9. Let g be i(4). What is the units digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 - (-102)\/(-24). Let l be (k\/(-8) + 1)*2. Solve -3*y + 3*d = 6, -25 + 6 = -l*y - 2*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(((p*p**(-1))\/p)\/p))*p)**17\/(p**(-6)\/p**(-7)) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12*(160 - 159)*0. Determine i so that u*i - 2\/5*i**4 - 1\/5*i**5 + 0*i**2 + 0 - 1\/5*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n = 4*n - 41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.778 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 + 30*a**4 - 60*a**3 - 330*a**2 - 375*a - 132 = 0. Calculate a.\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from yyyiiyin?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1377) + sqrt(1377) + 0 + -4) + 5 + 0)*-3)**2 + 3.\nAnswer: -2916*sqrt(17) + 50304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/14893010?\nAnswer: -9\/14893010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -200 (b) -1.16 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3. Suppose 2*d + 9 = -2*x + 21, 5*x - 3 = 4*d. Is 18 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 18. Let p(k) = -k**3 + 20*k**2 + 54*k - 4. Let z be p(22). Calculate the highest common factor of m and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/302275 and -17\/50.\nAnswer: 604550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 4) + 1 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:19 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -114bb (base 14) to base 13\nAnswer: -16222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 2*b)*(-4*b**2 + 4*b**2 + b**3) + b**4 - 2*b**4 + 0*b**4 + (-2*b**2 + 0 + 0)*(-23*b + 23*b + 2*b**2).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 12427422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320975927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 + 2*a**4 - 5*a**2 - 66*a + 66*a - 39*a**4 + (-4 + 4 + a)*(0*a**3 + 2*a**3 - a**3) to z*a**2 + q + x*a**3 + j*a + y*a**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:32 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(5\/2)*r**(-7)\/r)**(-11\/6))**(-10) assuming r is positive.\nAnswer: r**(-605\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-696670)\/(-4) - -2). Let b = i - 168333. Suppose -3*l = 2*s + b, 10524 = l - s + 70521. What is l rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 0 + l**2 + 10*l + 7 - 3*l. Suppose -3*x + 0*x + 162 = 0. Let t = x - 60. Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**3 + 3*a - 2*a - 2*a + 2 - 5*a. Let b be x(2). What is the highest common factor of b and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(((-7)\/(-24))\/(-7)). Suppose 0 = -4*h + 3*h + t. Suppose -5*j + 96 + 64 = 0. What is the greatest common divisor of h and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-3040)\/400?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b - 36. Let c(d) = 1. Let n(m) = 3*c(m) - j(m). List the prime factors of n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 + 69*o + 3. Let z(q) = -4*q**2 - 34*q - 1. Determine -3*c(t) - 7*z(t).\nAnswer: t**2 + 31*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let l(m) = 17174*m. Determine x(l(q)).\nAnswer: -34348*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/16*4\/6. Which is the nearest to -0.8? (a) 0.1 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66514 and 160.\nAnswer: 5321120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 99*k**2 + 13342*k + 334172. What is l(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*r + 353. Suppose 0 = r*y - 98*y - 3474. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 2. Let l(x) = -x - 2. Let s = 24 - 10. Let q(m) = -m**2 + 15*m - 17. Let v be q(s). Let o(a) = v*l(a) - 2*b(a). What is o(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13180000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 2*j, 2*j + 29 = 5*d + j. Let o be (2\/5)\/(1\/d). Suppose 4*t - 9 = -v + 15, -3*t - o*v = -23. Solve -t*l = -l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*d + 4*d - 12, 2*d + 3*l - 16 = 0. Let v be (-6)\/(-6)*1*4. Let r = v - d. Solve -r*g + k = 14, -3*k = g - k - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 110.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let u be (4\/(-7))\/((-45)\/35 - -1). Let t(w) = 101*w + w**u - 101*w - 2*w**2. Calculate g(t(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3831093\/59305 + 2\/11861. Let n = -6773\/105 + i. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1602669 - 0.5075573.\nAnswer: -1602669.5075573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -p - x, -46 = -5*p + 4*x. Suppose -5*t = -w + 5, 4*w - 2*t + t - 1 = 0. Let i be 3\/(-3)*2 - (-9 + w). Is i != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2356, -2885, -3414, -3943?\nAnswer: -4472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589 - -585. What is the hundreds digit of 542 + m + (-6)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123534 + 82?\nAnswer: 123626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 365 = 3*t + 357, 0 = 3*t - 6*l - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.499183 - -95.5. Round n to five dps.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -13*h + 71. Let y = h + 4. Calculate the highest common divisor of y and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20 - 0. Let f be 4\/(32\/6)*-4. Let a = f + b. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1558727*a**2 - 132*a - 508529322?\nAnswer: -3117454*a - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 1, y: 1, o: 6, b: 1}. Give prob of picking 3 o.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*u + 4, -8*w + 88322 = u + 88329 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t. Let j be (16\/(-12))\/((-6)\/(-27)). Let r(o) = 7*o. Let l(k) = j*q(k) + 5*r(k). Let z(n) = -n. Give z(l(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 + 12\/42. Are h and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = 2*m - 8, 3*s + 38 = -5*m. Is m less than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 16 = 38. Let d(b) = b - 3. Let h be d(w). Let j(z) = z**2 - 5*z - 3. Let m be j(h). Solve -m = -3*u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -214*u**2 + 65?\nAnswer: -428*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92977669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36111252 to the nearest integer?\nAnswer: 6009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 100 + 36. Let x = -27 + o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 2390868030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -3. Let x = 5 + t. Suppose -x*z - 2*n + 24 = -26, 4*z - 4*n = 92. What is the greatest common factor of 24 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.2. Let x be 9 + 7\/(-28)*35. Which is the nearest to 1? (a) f (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -631*n - 63. Let b(x) = -93393*x - 9315. Let z(h) = -2*b(h) + 297*j(h). Let l(d) = 31*d + 4. Give -81*l(a) - 4*z(a).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16088 (base 10) to base 4.\nAnswer: 3323120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342 less than 2?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/10 - a**3\/2 + 750*a**2 - 249*a. What is the hundreds digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -7*d + 42. What is the common denominator of -143\/18 and (-52)\/264 - (-8 + d)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*y**2 - 92*y - 1 wrt y?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-5 + -5 + sqrt(1216)*-2 - (4*sqrt(1216)*1 + sqrt(1216) - (sqrt(1216) + -2*sqrt(1216))*-2)) + -5))**2.\nAnswer: 43200*sqrt(19) + 1102500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 21598*b + 21596 = 0 for b.\nAnswer: 1, 10798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -230*u + 59565. Let k be o(259). Let r = -1.98 - 0.02. Let h = -0.4 + -4.6. Which is the closest to k? (a) 1 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/18 and -43\/702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**3 + 1\/24*a**4 + 0*a - 3 + 3\/2*a**2. Let f(h) be the second derivative of k(h). Let j(s) = -s**2. Calculate j(f(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.51 and 0.1.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535712417 to the power of 1\/2, to the nearest integer?\nAnswer: 23145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 1\/3*x**4 + 2\/45*x**6 - 44*x**2 + 1\/2016*x**8 + 4\/9*x**3 + 0 + 1\/140*x**7 + 7\/45*x**5 + 0*x. Factor r(t).\nAnswer: (t + 1)*(t + 2)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 26*m**2 + 28*m + 26. Let u = 159 + -62. Suppose -3*z + u = -212. What is the remainder when z is divided by h(-14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 249 = -0*v - 10*x + 6, -4*v - 3*x + 101 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -6 - (44 - 40)) + -21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*s = -131 + 101, s = 4*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -903, -5, -7, -3, 4 in descending order.\nAnswer: 11, 4, -3, -5, -7, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x - 2*x)*(-2 - 1 + 1) - 4043*x + 5407*x - 2854*x + (5 + 0 - 4)*(0*x + 0*x - 2*x) to o + z*x and give z.\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - p**2 + 0*p**2 to the form v + t*p**2 + u*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2682, -2087, -1210, -51, 1390?\nAnswer: 3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(270)\/(sqrt(27)\/sqrt(3)))\/(sqrt(270)\/sqrt(5)).\nAnswer: sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*o = -91, o - 3 = t - 28. Suppose h - 12 = t. Calculate the remainder when h is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + (-343)\/(-21). Suppose q*a = 15*a + 29. What is the remainder when ((-4)\/(-6) - 0)\/((-6)\/(-2070)) is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a + 17*a - 11*a = 1932 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*s**2 - 444 + 946 - 502.\nAnswer: 1823*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2471, 2484, 2509, 2546, 2595?\nAnswer: 2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4699 = -20*a - 25239. Which is smaller: a or -5136\/5?\nAnswer: -5136\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 2. Let s be a(-2). Suppose -9*p + 168 = -s*p. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 495\/30*6\/9. Let w(m) = m**3 + 7*m**2 - 4*m - 9. Let u be w(-6). Suppose 0 = -4*h + u - z. What is the remainder when 38 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137526 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18312 and 11571658?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -971206, -3884736, -8740624, -15538876, -24279498, -34962496, -47587876, -62155644?\n\"Answer: -c**3 - 971173*c**2 - 4*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*v**4\/6 - 1537*v**3 - 21441*v**2\/2 - 73426*v\/3 - 18346 = 0. Calculate v.\nAnswer: -9173\/7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -973*i**3*q - 84*i**3 - i**2*q - 4*i*q - 5 wrt q.\nAnswer: -973*i**3 - i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:46 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, 5, -77?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16085, -48892, -98427, -164696, -247705, -347460?\n\"Answer: -x**3 - 8358*x**2 - 7726*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/174 + -43\/87. What is the nearest to 1 in -1.96, o, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v - 0*v + 266. Solve 5 = 14*q - v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/28*-4*(-140)\/(-180)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:31 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.087 - -0.087. Let i = 13 + -12.6. What is the closest to i in -5, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484002288 by -33.\nAnswer: -14666736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(2\/(-4*(-24)\/80)). Let p(d) be the first derivative of 3*d**2 - 1\/3*d**g + 4*d - 13. What is p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from gnrrqxggrgzx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 10 = 14*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3714 and 3653957.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*p**3*w + 2*k*p**3 - 6*k*p**2 + k*p*w - k*p - k*w + 8*p**3*w + 3512*p**3 + 85*p + 82*w wrt p?\nAnswer: -6*k*w + 12*k + 48*w + 21072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284153 to the power of 1\/2, to the nearest integer?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 2*d.\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26.9 or 15?\nAnswer: -26.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 670097.8 meters?\nAnswer: 67009780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahyy when four letters picked without replacement from {a: 3, k: 5, h: 1, w: 3, n: 1, y: 5}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 2809\/70*b**5 + 0*b + 7890481\/42*b**3 + 1 - 148877\/42*b**4 - 53\/210*b**6 - 27*b**2 + 1\/1470*b**7. Factor a(q).\nAnswer: (q - 53)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5249 and 9050?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = m - 1. Let a = -9440 + 9648. What is the smallest common multiple of m and a?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79188, 79177, 79162, 79143, 79120, 79093?\n\"Answer: -2*n**2 - 5*n + 79195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**3\/6 - 4*j**2 + 455*j + 2. Let l(k) = -k + 6. Let x be l(-6). Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 - 11324150*g - 11324145 = 0. What is g?\nAnswer: -2264829, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, l: 5, q: 5, s: 2, p: 4, i: 1}. Give prob of sequence aqp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/799 + -1\/94. Let a = -419 + 411. Let p(c) = -c**3 - 10*c**2 - 11*c + 40. Let i be p(a). Is i less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let z be o\/15 - (-58)\/10. Suppose -5*v + 5*t = -110, -t = z - 4. Calculate the greatest common divisor of v and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llml. Give prob of sequence ml.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/7 - 19732*l**3\/7 + 13519424*l**2\/7 - 2422909260*l\/7 + 7147585566\/7 = 0.\nAnswer: 3, 361, 9141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 8, -15, -62, -139, -252, -407?\n\"Answer: -x**3 - 3*x**2 + 11*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12\/11)\/(c\/c**11))\/(c**3)**(2\/95) assuming c is positive.\nAnswer: c**(9244\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 615*f**2 - 232*f - 150. Is x(49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (269\/(-12)*(-48 + 52))\/(1\/3). Is i smaller than -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 6*t**2. Let u(m) = 3*m - 7. Give u(v(s)).\nAnswer: -3*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533412 is divided by 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 792272.4ns in seconds?\nAnswer: 0.0007922724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98512 and 3126628?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/12 + 13*y**3\/3 + 5*y**2 - 5*y. Is d(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8804919 is divided by 122287?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 170 = -3*x, -3*g + 174 = 3*x. Calculate the remainder when x is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i = -11*i + 34151 + 14839. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - y**3 + y**3)*(3 + 2 - 4) - 4*y**3 + 4*y**3 + y**4 - 5756*y**3 + 2*y**4 + 160*y + 5758*y**3 - 3*y**4.\nAnswer: 2*y**4 + 2*y**3 + 160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19 = w, 4*k = 3*w - w - 22. Let v(o) = 0*o**w + 11 + 11*o**2 - 2*o - 5*o**2 - 16*o**2 + o**3. What is v(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(7\/3)*q\/q**(2\/15)*(q*q**1*q*q)**(-39) assuming q is positive.\nAnswer: q**(-764\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657336100 divided by -2150?\nAnswer: -770854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/3154?\nAnswer: -7\/3154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3478*f + 1747*f + 1762*f = 1612 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*j = 440, 4*j = 5*o - 6*o + 103. What is the remainder when 158 is divided by o?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941125.\nAnswer: 5, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from knmhv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15500 divided by 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 - -26) + -53 - 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 2, 0.3, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1)\/((-1)\/(-1)). Suppose 0 = -4*h + l + 8, 3*h - 6 = -3*l. Let a be z - (2 - h - 0). Solve -4*g + 0 - 12 = a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 19*g**4 - 10*g**3 - 156*g**2 + 216*g.\nAnswer: -g*(g - 18)*(g - 2)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*t - 3*t. Let q be ((-12)\/6)\/4 - (-162)\/(-12). What is the remainder when 0 + 26 - q\/49*-14 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51628000 rounded to the nearest 100000?\nAnswer: 51600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - v = -1924 + 1933, 10*m = 5*v + 120 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 16. Suppose 0 = -4*o + 2*d + 28, -4*o - 137*d + 142*d + 40 = 0. Let g(u) = -u - 24. What is o*g(m) + 8*l(m)?\nAnswer: 3*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 16*f - 5. Suppose 21 + 2 = 2*h + l, 2*h + 3*l = 17. What is the remainder when m(11) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*h - 3*d, 355 - 315 = 3*h - 5*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 1, e: 2, x: 1, y: 1}. What is prob of picking 1 k and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1147135 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8642 less than -1\/10149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -95, -200, -321, -458, -611, -780?\n\"Answer: -8*h**2 - 81*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + n + 6. Let x be (-44)\/8 + 1\/2. Let f be v(x). What is the remainder when 23 is divided by 11*f + (-5 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let v be 1 + -1 + 1 + 1. Suppose 3*y + v = 14. Solve 3*x = y*f + 12, 0 = -f - 2*x - 2*x - z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069417?\nAnswer: 7, 157, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -39921.19628?\nAnswer: 39926.19628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0*h**3 + 0*h**4 + 0 + 15\/2*h**2 - 18*h - 2\/5*h**5. Find the first derivative of p(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2238 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 511 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 645 = 1525. Calculate the remainder when 303 is divided by t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2 = 0, -39*t + 5*c = -37*t - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -90. Let u be (m\/4)\/((-5)\/20). Solve 4*b + 4*o = -36, -7 = -b + o + u*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 129 - 161)*(-6*t**3 + 4*t**3 + 4*t**3).\nAnswer: -632*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86811*s**2 - 76137*s**2 + 4*s**5 + 320132*s - 1316*s**4 - 159796*s**2 + 110200*s**3 - 106276.\nAnswer: 4*(s - 163)**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 156409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234646041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(108\/(-24))\/3.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8274532979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxqxbxqxbxub. Give prob of sequence uxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*x + 14 - 44, -3*x = 3. Calculate the smallest common multiple of (63\/(-35))\/((-6)\/20) and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 370 - 1144. Let v be (-753 + 3)\/(3 - f\/(-256)). What is v rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 192*i - 2 - 229*i + 42*i.\nAnswer: 5*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 10:42 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 244, 408, 572?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from pypponopnnypopn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13058905 + 13058905 + 26*q**3.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 409*v + 916*v - 4*v**3 - 507*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 86 = -2*m - 5*g, -5*m - 4*g = 477. Let c = m - -297. What is the greatest common factor of c and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0734128671 + 0.15797?\nAnswer: 0.0845571329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2 - 12*z + 3. Let g(p) = -16*p**2 - 10*p + 3. Give -5*g(u) + 4*t(u).\nAnswer: 20*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-20)*1 - -6*6\/48\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1747249 rounded to 4 decimal places?\nAnswer: 0.1747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 78 = 2*i, t = 4*i + 3*t - 162. Is (i\/14)\/(2\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177295753?\nAnswer: 43, 1523, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose 5*i + 0*k = -z*k + 30, i - 6 = k. Suppose i*l - 52 = 2*l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 5*m - n + 20, 0 = -3*m + 2*n - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -9. Let x = 0.9 + g. What is the smallest value in 4\/13, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/(6*11\/(-440)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 - 5*v. Let i be a(-1). Sort 1, i, -16, -4.\nAnswer: -16, -4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18680, 4, -54 in decreasing order.\nAnswer: 18680, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -33*a**2 - 7*a + 4. Let q(o) = -32*o**2 - 4*o + 2. Determine -2*n(t) + 3*q(t).\nAnswer: -30*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:46 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1314)\/(-5) - 1\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3787, 3786, 3785, 3784, 3783?\nAnswer: 3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 185314, 370624, 555934, 741244?\n\"Answer: 185310*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36932 is divided by 1771?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-72))\/(14\/189).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.142 and -306.\nAnswer: -297.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1520 by 2604.\nAnswer: 380\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(2*i**4 - i**4 + 0*i**4) + 9*i**4 + 42 - 42 + 176*i**3 + 1 - 176*i**3 + 10*i**4.\nAnswer: 18*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/12 + (-26)\/(-4). Let o(y) = y**3 + 20*y**2 + b*y - 7*y**2 + 15 + 6*y. Calculate the least common multiple of o(-12) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107\/564 - -5\/47. Which is the closest to 8? (a) r (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-14) + (-7635240)\/(-1169)?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, 2, 9, 11.\nAnswer: -3, 2, 9, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 14*k = 60000. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y**2 - 2*y - 1. Let q(p) = -p**2 - p. Let l = -266 - -270. What is l*q(f) - 2*w(f)?\nAnswer: 2*f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 29. Give f(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0 - (-1 + 1)). Find the second derivative of -l - u*l + 2*l - 2*l**3 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19869 is divided by 57?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/20820 and -85\/13091616.\nAnswer: 65458080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021 less than -1.450327?\nAnswer: -1.448227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.952 - -12. Let j = b - -0.372. What is j rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -2 + sqrt(684) + 4)**2 + sqrt(684) + -2.\nAnswer: 54*sqrt(19) + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.27429 years in millennia?\nAnswer: 0.02827429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let f be -51 + -4 + (-4)\/(-4). Let i be (-3 - f\/15)*-5. What is the third biggest value in -6, i, 0.1, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12258 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 0*r)*(-3124 - 2999 - 1708 + 2049).\nAnswer: -11564*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385959?\nAnswer: 17, 81527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -7 + -6)*(2 + -3). Let y(u) = 6*u + 6. Let b(q) = 19*q + 19. What is m*y(d) - 2*b(d)?\nAnswer: 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 17, 57, 133, 257, 441?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*n + 5*r, -59*n + 60*n = -r + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + r - 2. Let h be b(1). Let z(a) = a**3 - 2*a**2 + 3*a - 3. Let t be z(h). Factor -6*i**2 - 15*i - 7 - 5 + 3*i**2 + t*i.\nAnswer: -3*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 - 18*o**3 - 73*o**3.\nAnswer: -91*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**8\/112 - 2*s**7\/35 + 4*s**6\/5 + 11*s**5\/2 - 175*s**4\/8 - 125*s**3 + 2728*s**2. Solve b(y) = 0 for y.\nAnswer: -5, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (7 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 4*y - 4*y)*(47*y - 15*y - 11*y).\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + -1)*-3*5)**2.\nAnswer: -194400*sqrt(17) + 19836900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**4 - 451*y**3 + 24*y**2 - 18*y + 5.\nAnswer: -144*y - 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by -42\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-45)\/36 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 88. Suppose m = -5*h + 29, 4*h = 3*m + h - 15. Suppose -y - m = a. What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211365000*z**2 - 20*z + 20*z + 1211365001*z**2 - 2422730002*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4500193+2\nAnswer: 1.5499807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**4 + 3585*f**3 + 102012*f**2 + 878832*f + 2113344 = 0?\nAnswer: -12, -4, 1223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*d - 66. Suppose d*x = 25*x + 2688. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3660677 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2, 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(160))\/sqrt(2).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 362.5 and 354185.\nAnswer: 128392062.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 15) to base 11.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2*p + 0*p + 0*p)*(13 - 1 + 5) + (2 - 2 + p)*(-4 - 2 + 4).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108180, 108123, 108026, 107889, 107712, 107495?\n\"Answer: -20*h**2 + 3*h + 108197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 942826727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + -a373654?\nAnswer: -a373687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*r - 47*r = -727 - 59 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-849)\/6226)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/6*(-4 - -6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -111111100010001000 (base 2) to base 8\nAnswer: -774210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2629 - -2518?\nAnswer: 4b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405.4 - 338. Let k = -67 + p. What is the nearest to 0.2 in 2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96026.69km to meters.\nAnswer: 96026690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28292243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:13 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 - 3 = 0. Solve 4*u - f = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 + 171. Does 36 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {o: 6, j: 4, u: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/(-170) - 7410\/4725.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*i**3 + 258*i**3 - 122*i**3 + 320*i**3.\nAnswer: 617*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 331934441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 49*z**3\/3 + 574*z**2 + 6724*z - 434. Solve d(g) = 0 for g.\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 63.\nAnswer: 43\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2 + 2 - 2*v - 3. Let p be 2\/(-6) - (-168)\/(-36). What is the units digit of t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 - c**2 + 6 - 9*c**2.\nAnswer: 9*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**3\/27 + 10*p**2\/9 - 50*p\/9 + 6. Determine v, given that o(v) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:25 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30353.\nAnswer: 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272078436 a multiple of 7532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z**2 + 0*z**2 - 3*z**2)*(z - 2 + 2) - 2*z**3 - 2*z**3 + 15*z**2 + 0*z**3 to s*z**3 + v + h*z**2 + j*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -144 + 0*h**2 - 12*h**4 + 25*h + 4\/3*h**3. What is the third derivative of o(s) wrt s?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 28*o**2 - 4600 + 111*o - o**2 - 441*o + 0*o**2 - 32*o**2 = 0.\nAnswer: -46, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 14*q - 315. Let m(b) = -b**2 - 2. Let t(u) = 7*m(u) + n(u). What is the first derivative of t(d) wrt d?\nAnswer: 3*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -52*a**3\/3 - 771*a + 7. Let y(w) = -45*w**2. Give y(h(r)).\nAnswer: -486720*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153.721 + -6112.841. Let k = 5954.12046 + a. Let q = k - -5. What is q rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071364537 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 39*v + 108. Let d(s) = -6*s**2 - 194*s + 540. Let b(i) = 2*d(i) - 11*x(i). Calculate the remainder when b(30) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.5497 centimeters in micrometers?\nAnswer: 2275497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204.4 - -204. Which is the closest to -3? (a) 5 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d - 2. Calculate h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*a - 2*a + 9, -5*r = -5*a. Let 3*p**2 + 0*p**a + 3*p - 3 + 0*p**2 - 3*p**3 + 0*p**3 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1388024*u**4 + 529457*u + 2?\nAnswer: 16656288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 144*r - 2015. Determine c(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 8) to base 4\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1182\/79 + -89707\/5135. Let p = -30\/13 - n. What is the second biggest value in -0.4, 5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 112 = -4*p, -2*p + 5*i = 44. Suppose c + 0 = -1, -4*v - 5*c = -191. Let t = v + p. Calculate the remainder when 43 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*-186.7553\nAnswer: 560.2659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7291 = 4*p - t, -6*p + p = -3*t - 9119. Suppose -18*f + p + 140 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29060?\nAnswer: 2, 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3 - 2*g**2 + 3. Let p(x) be the second derivative of x**6\/180 - x**3\/6 + x. Let k(b) be the second derivative of p(b). What is m(k(o))?\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/360 + 3*j**5\/40 - 5*j**4\/24 + j**3\/6 + j**2. Let t(o) be the first derivative of q(o). List the prime factors of t(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12211044 divided by -2234\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcpppccccccpp. What is prob of sequence cp?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124\/69 - 3\/23. Put -0.2, r, 0.4, 3 in ascending order.\nAnswer: -0.2, 0.4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 16*n - 2*h + 7214, -2*n - 5*h = -14427. Suppose -11*f + n = -0*f. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and -77\/362467828.\nAnswer: 724935656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/154 or 3?\nAnswer: -1\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let o be (0*(-2)\/4)\/(-2). Let a(r) be the third derivative of o*r**3 - 2*r**2 + 0*r - 1\/24*r**4 + 0. Calculate v(a(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4699905 divided by -44761.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - 4*(-2 + sqrt(468)) - sqrt(468))**2.\nAnswer: -384*sqrt(13) + 7552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 529837.1 nanograms?\nAnswer: 0.5298371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251\/14, -57, -4\/63.\nAnswer: -57, -251\/14, -4\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111010111101 (base 2) in base 11?\nAnswer: -17249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76\/35 - -209\/210. Calculate the common denominator of 29\/6*(-4)\/2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-6) - (-1)\/3. Let o(q) = -q**3 - 3*q**2 - 4*q + 4. Let c be o(-5). Suppose m - 6*t - s = -t, -4*m + c = -t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3492*g*h**4 - 5*g*h**2 - 249*g*h + 21*h**4 + 2*h**3 + 179*h wrt h.\nAnswer: -83808*g*h + 504*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -13*u**3 + 59*u. Let m(x) = x. What is m(h(k))?\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277246 and 1493162?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -263, -1, 438, 2 in increasing order.\nAnswer: -263, -1, 2, 28, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -57. Suppose -4 = u, 4*u - u = -5*l + v. Let q be (-30)\/(-4) - (-2)\/(-4). What is the greatest common factor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 54*t**2 + 569*t - 111. Give z(0).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - k + 4*k - 35 = 0, 2*a - k = 15. Suppose -2*s - 3*s + a = 0. Suppose s*r = 3*r - 10. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 + -1)*15\/9*12\/50. Let d(u) = u**2 + 5*u - 27. Give d(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from gdddguqqquggdqgggqd?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -278 and 0.9832?\nAnswer: -273.3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q = 347 + 349 + 288 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 85 + 3. Suppose 40 - 10 = 5*r. Suppose -2*d + 5*d = 9. Solve d*y = m + q, -2*m - r = y - 2*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56593*d**2*i**2 + 3*d**2 - 128*d*i - 456*i**2 wrt d?\nAnswer: -113186*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1)\/2)\/((-8)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 897108739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1456 - 1284. Are 2\/7 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*r - 2*c, -9*r + 14*r = -3*c + 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/20*c**6 + 0*c + 1\/30*c**5 - c**2 + 0 - 1\/6*c**3 + 0*c**4. Let h = 0 + 1. Determine q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1003560 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61299680 and 74360.\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176504*w + 176413*w - 2639 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -47, 1, 4, 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 262, 1988, 6676, 15808, 30866, 53332, 84688, 126416?\n\"Answer: 247*t**3 - t**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/2313 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -24, -7, 28, 87, 176, 301, 468?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 3*u = -28, -5*u + 5 = 2*r + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 1714612*y**2 - 3429220*y.\nAnswer: -y*(y - 1714610)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -3\/14*y**3 - 19 - y + 3\/7*y**2 + 1\/28*y**4. Factor f(a).\nAnswer: 3*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2998 - -3214. What is the smallest common multiple of 594 and a?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449.2239771 rounded to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/3 - 1065578*f**2\/3 + 94624924667*f - 1892356418940 = 0.\nAnswer: 20, 532779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9127 + 2097 = -183*i + 2149 + 5827 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1439*y + 96. Let r(o) = 2877*o + 216. Give -9*f(p) + 4*r(p).\nAnswer: -1443*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - 2)) + -4 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -8. Let d be (3\/y)\/(15\/54). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxdcdzqc. What is prob of picking 1 d, 1 f, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70949 + 23125 = -8*t. What is the greatest common divisor of 98 and t?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 1 + 1)*(492 - 492 - 249*h)*(-3 + 3 + h) to k*h**3 + l + o*h + w*h**2 and give k.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g - 3*k - 14 = 0, 0 = g - 4*k - 15. Let p = -5534 + 5531. Let o(z) = -5*z**2 + z - 3. Let s(m) = m**3 + m**2 - m + 1. Determine g*o(a) + p*s(a).\nAnswer: -3*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 456119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.53292 rounded to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + 3 + 9 + 43\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -11*r + 127. Let y be r + -9 + (-4017)\/(-6). Let -y*k**2 + 126*k - 6 = 0. Calculate k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 468385*j - 468383*j = 117, -5*j - 120 = -4*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 19275090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/(75616\/21267).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/9, -9.\nAnswer: -11, -9, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -3*i + 2990509, -4*u = -28. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (sqrt(176) - -1*(-2 + sqrt(176))) + -5)**2 + 5.\nAnswer: -96*sqrt(11) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -472 - -474. Let c(n) = -375*n**3 + 2*n**2 + 4*n - 16. Let d be c(b). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 7*c + 2*c + 3*c**2 + 0*c**2 + 2 - c**3. Suppose 2*o - 5*r = 5*o - 17, 2 = -r. What is the units digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 355\/142*888\/(-185).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = -5*r - 11, -r + 6 = -2*z. What is the units digit of 6 - 1\/(r\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + 0. Solve -5*d = -p + t, 4*p = -5*d + p - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 371079.2 milligrams?\nAnswer: 371079200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -6. Suppose 0 = 52*u - 43 - 7 + 102. Let i(o) = 2*o. Let l(a) = 8*a. What is r*i(c) + u*l(c)?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25\/2 + 341\/26. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(1 - 24\/(-1)) + -3?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrnnrniirqr. Give prob of sequence qi.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17264 + -12317. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558967778?\nAnswer: 2, 1279483889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*k = -4*l + 97142, 2*l + 5*k = 48577. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11803407.973 rounded to the nearest one hundred?\nAnswer: -11803400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 33, 46, 59, 72, 85?\n\"Answer: 13*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.10271 times 1085\nAnswer: 111.44035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29136559 + 0.143.\nAnswer: -0.14836559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 34*q**2 + 116*q + 178. Calculate c(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -87. Suppose -4*b = -28 - o. Solve -5*m + 3*q - b = -4, 0 = -2*m + q - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from begbbgeggbbbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 1309.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -2, 1630?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 4 + -5*(5 + -2 + -1*sqrt(1053))*-2)**2.\nAnswer: -11160*sqrt(13) + 212522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -54, -93, -168, -291?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*q + q**3 + 32*q + 36*q to the form a + g*q + v*q**2 + z*q**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 17*t - 8278 = 13*t, 8282 = h + 5*t. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932665?\nAnswer: 5, 103, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 125.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 10*l + 9. Let x be p(9). Let r(f) = f**3 + f**2 + 2. Let u be r(x). Let d be 3*(-1 + -1)\/u. Let z(m) = -m - 2. Give z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 559383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/540 - 214*l**5\/15 - 45796*l**4 - 78402752*l**3 - 15*l**2 + 12*l. Factor g(x).\nAnswer: -2*(x + 1284)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (-2)\/(-4). Suppose 5*c + 2*f - 215 = -f, r = c + f - 43. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2263*c + 2*s - 46 = 2266*c, s = c + 14 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/187 + (-11548008)\/140811\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:37 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 87. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1 - 0)*((-76)\/(-336) - 312\/3744)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 120?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 921415, 921414, 921413, 921412, 921411?\n\"Answer: -i + 921416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 21?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5\/3)*n**(4\/7)\/n*n*((n*(((n*n**(5\/2)*n)\/n)\/n*n*n*n)\/n)\/n)\/n**(-2) assuming n is positive.\nAnswer: n**(227\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788016 is divided by 19225.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(648) + sqrt(18))\/(sqrt(729)*-3)*-2 + 2.\nAnswer: -10*sqrt(2)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 28 = 37. Solve f*l - 2*l = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 6\/(-2)*-1)\/1. Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/21*(-2)\/(-2). Solve -l - 2*b + 4 = c, 2*l - 5*l - 5*b + 9 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/4 (b) 11 (c) 0 (d) 87 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192509 divided by 1523?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 1.3. Let y = -5 - d. Let t = 31\/12 - 9\/4. What is the nearest to t in -5, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29247 is divided by 276.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12164353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.9 - 13.27. What is m rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-3 + sqrt(252)*-1 - ((-2 + sqrt(252))*1 + sqrt(252) + sqrt(252)))*-4 + 4 + -5)*-3)**2.\nAnswer: 3456*sqrt(7) + 580644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 18. Let k(w) = -5*w - 5. Let a(z) = 11*z + 10. Let i(o) = q*k(o) - 3*a(o). Let l be i(-6). What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 454*u**2 - 9*u + 18. Let z(g) = 226*g**2 - 5*g + 11. Give -3*w(s) + 5*z(s).\nAnswer: -232*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3984527*i**2 - 678746.\nAnswer: 7969054*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -1\/2, -1, -432 in ascending order.\nAnswer: -432, -18, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 + 325 + 251 - 955 - 12*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 2*g**2 + 4 - 12 + 5 + 26*g**3 - 39*g**3 as h*g**2 + q + n*g**3 + d*g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2640493 and 1895?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 - 7*v**2\/2 - 2*v. Let w be b(8). Is -2*12\/((-2)\/w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2\/2 + 14*h + 13. Let u be q(-11). Solve -u*a = 6, -8*v = -4*v - 3*a + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7138*r. Let s(l) = -2*l**2 - 115*l. Determine c(s(h)).\nAnswer: 14276*h**2 + 820870*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 - 11*n - 6. Suppose 27 = -3*q - 3*g, -64 + 31 = 3*q + 5*g. What is m(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002222 - -122210?\nAnswer: -1110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 7) in base 15?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/84415 and -30\/725969.\nAnswer: 3629845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17192, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372137, -373950, -375763, -377576, -379389?\nAnswer: -381202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1961.87 * -2.5\nAnswer: 4904.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16155)\/(-20) - (-2)\/8. Suppose 3*o = -3*j + 603, 5*j - j + 2*o - t = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 26*o + 1816. Let g be h(-70). Let x = 3 - 4. Let j = x + 1.5. Which is the nearest to -0.1? (a) j (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/27)\/((-1860)\/248).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 405. Suppose -5*x - o = -401, -2*x = x - 2*o - c. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 12. Let q = 25 + -10. Suppose 0 = -4*u - 5*h - 1 - q, -4*h + 25 = -u. Let j be l(u). Sort j, -1, 1.\nAnswer: j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(12)*4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfwwxwwwwxxwn. What is prob of sequence xxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11598 and 245511?\nAnswer: 949145526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3*s - 1079*f**3 - 2112*f**2 + 2097905*f*s**3 - 1 wrt s?\nAnswer: f**3 + 6293715*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3145 - -32?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -39 + (0 - 0 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6616645, 13233287, 19849923, 26466553, 33083177, 39699795?\nAnswer: 46316407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 92 - (1 - -62 - 18)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -46. Suppose 5*i - g = 1. Calculate the highest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998737 is divided by 131.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t**3 + 48*t**3 + 45*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-660)\/275)\/(2\/(-5)). Is (-4 + 8)\/(o\/9327) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-82)\/(-1230))\/(2\/(-20)))\/(2\/(-87)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccchpccccph. Give prob of sequence hhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12 = 3*m, -m = 2*m + 4*f - 5. Suppose -5*s + m*s - 6 = 0. Calculate the remainder when 206\/5 + s\/15 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41834 is divided by 391?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s - 843 + 238 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 2. Let d(h) = -178*h**2 + 421*h + 6. Calculate the remainder when d(2) is divided by a(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1. Let r(u) = -73*u + 219. Calculate 219*l(i) + r(i).\nAnswer: -73*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 8. Let l be g(8). Suppose l*y - 3*y = -18. Let p be -1 + y\/3 + 0. Solve -p = -0*u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 - 44?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3373368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/10*r**5 + 0*r**2 + 0*r**3 - 6 - 5\/12*r**4 + 2\/15*r**6 + r. What is the third derivative of o(a) wrt a?\nAnswer: 96*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -210*w**4 + 2*w**2 + 63645*w - 542583602?\nAnswer: -840*w**3 + 4*w + 63645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*d - 927, -3*s - 2*d - 913 = 2*d. Let f = 337 + s. Calculate the smallest common multiple of f and (3 - 2) + -1 + 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(64 - 20 + h + 33 + (-5 + 0 + 4)*(2*h - h + h)).\nAnswer: h - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-151)\/151*(10\/(-3))\/((-2)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*i**2*o - 160959*i**2 + 8*i + 19440062*o + 1 wrt i?\nAnswer: 16*i*o - 321918*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102193, 408995, 920333, 1636207, 2556617, 3681563?\n\"Answer: 102268*m**2 - 2*m - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1475575\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42842 and 2697.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11199 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: Solve 5*m = 3*l - 24, -19*l - 6 = -16*l for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/24485 and -42\/53867?\nAnswer: 269335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 67. Let o = -20 - c. Solve 4*y = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/11 + 21*k**3\/11 + 2*k**2.\nAnswer: -k**2*(k - 22)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 12 (c) 0.5 (d) -9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - (-4 + 2 - -1). Let o(g) = -v*g + g**2 + 47 - g - 33. What is the units digit of o(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*h + 6 = -3*h, 0 = 4*u - h + 17. Let p be u\/(-20) + 119\/4. Suppose -2*j + 62 + 28 = 0. What is the greatest common factor of j and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 2, -j + 5*h = -17. Let l(n) = -n**3 + 4*n**2 + 21*n + 4. Let a be l(7). Solve 0 = -j*i - 2 + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4, 2*r + 30046 = 4025*h - 4020*h. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, p: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 104*t - 130. Suppose -250*z - 45*z + 133 - 723 = 0. Let c(h) = h - 1. What is z*r(n) + 260*c(n)?\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42564, -86398, -130234, -174072, -217912, -261754, -305598?\n\"Answer: -v**2 - 43831*v + 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(612)*2)**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = j + 2*x, -5*j - 4*x - 12960 = -13006 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5844 divided by -2922.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (3*(-1*sqrt(156) + sqrt(156)) - -2*sqrt(156)*5)\/((-6*-3*sqrt(96))\/sqrt(8))).\nAnswer: 2 + 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 65 = -3*y. Put y, 5, 13, 0 in descending order.\nAnswer: 13, y, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16048 divided by 4012.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2\/4 + 335*z\/2 - 27555\/4 = 0.\nAnswer: -167, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**1*i))**(-45)*(i\/i**(3\/16))\/((i\/i**(-14\/3))\/i) assuming i is positive.\nAnswer: i**(1975\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -414496, -2, 81 in ascending order.\nAnswer: -414496, -2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 21*o + 17. What is the lowest common multiple of k(-5) and 108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let a be (-438)\/(-24) - x\/8. Calculate the common denominator of -49\/8 and (435\/a - 0)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (550 - 663 + 334)*(-4 + 4*s**3 + 6 - 5*s**3).\nAnswer: -221*s**3 + 442","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1670618?\nAnswer: -1670614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6) + (-2)\/3. Let z = -82 + 110. Let a = z - 27.7. What is the third smallest value in a, 2\/7, q, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8913 + -4355. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -0*f + 5616. Suppose 4*w - 6*w + f = 4*x, -3*x + 468 = -5*w. Calculate the remainder when x is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dch when three letters picked without replacement from hccccchcdcccccdch?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17284 divided by -8142?\nAnswer: -8642\/4071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvaaaaovvvaavv. What is prob of sequence aj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 63*b**2 - 3*b - b - 3*b.\nAnswer: 63*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/r**8)\/r)\/r*r*r)\/(r*r**1*r))\/(r**(4\/3)*(r**(3\/5)*r*r)\/r*r) assuming r is positive.\nAnswer: r**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(sqrt(931) - (sqrt(931) + (sqrt(931) + 1 - sqrt(931)))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 35. Let l(n) = z + 9 + 28*n - 26*n. List the prime factors of l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 5*h**4\/6 + h**2. Suppose 5*f - 3*f - 19 = -3*l, -12 = -f - 2*l. Let m(u) = u**2 - 105*u + 105*u - f*u**2. Calculate q(m(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 17*i**2 + 19*i + 20. Let d be b(-18). Factor 0 - 4\/3*f - 2\/3*f**3 - 2*f**d.\nAnswer: -2*f*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m. Let u(h) be the first derivative of -25\/2*h**2 + 0*h - 58. Give 4*u(y) + 7*v(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from rrrrrcrcr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197 and 47083.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 79 + 36)*(2*t**4 - 3*t**4 - t**4).\nAnswer: -248*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/6177937 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108111873.\nAnswer: 3, 433, 83227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b - 29*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010101100101110 (base 2) to base 9.\nAnswer: 675488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83723.43876 take away -0.3?\nAnswer: -83723.13876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*d + 10, 4*d = -5*a - 203 + 175 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6422 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1524 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039076.\nAnswer: 2, 227, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 36*k**2 + 779*k + 323. Determine f(-15).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/184219187 or 0?\nAnswer: 2\/184219187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44187078 and 4532008?\nAnswer: 176748312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -17 + 9)*7\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1865465 (base 10) to base 8\nAnswer: 7073371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Calculate the lowest common multiple of b and 18\/(-2)*6\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(2\/7)*(v\/v**0)**(21\/8))**24 assuming v is positive.\nAnswer: v**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*n*n**5*n**4*n*n*n**1*n*n*n assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57855, -115745, -173645, -231561, -289499, -347465?\n\"Answer: -x**3 + x**2 - 57886*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from fffoooxoofooooofofo.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/(-8))*-1. Let h be 2\/4*2*(-927)\/(-103). Do q and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -112 (b) 6 (c) 1.13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 + 129 + (97 - -81).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*o + 35, 1308*o - 1313*o - 2*n = 89 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 1\/4, 4\/7, 0.5, -6932\/7 in increasing order.\nAnswer: -6932\/7, -15, 0, 1\/4, 0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s - 8. Let q be w(-5). Suppose 6*k - 18 = q. Find the second derivative of -41*p + 0*p**5 + k*p**5 + p**5 + 38*p wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3083732, -6167468, -9251204?\n\"Answer: -3083736*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:52 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -14\/3. Let q(c) be the second derivative of -s*c**2 - 5\/9*c**3 + 0 - c - 1\/6*c**4. Determine n so that q(n) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 9. Let a(u) = 1. Let m = 188 + -189. Give m*r(d) + 6*a(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1009? (a) -3\/4 (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-10)\/n)\/(n*n**(6\/5))*(n\/(n**(-1\/5)\/n))**17)**(-13\/5))**(-2\/15) assuming n is positive.\nAnswer: n**(3146\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*m**3*t**2 + 545*g*t**3 - 144*g*t + 2*m**3*t**3 wrt t?\nAnswer: 3270*g + 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106*t**3 + 37*t + 12948?\nAnswer: 318*t**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 12*y**2 + y - 19. Let d be q(-12). Let t be (-4)\/(-6)*(5 + -50). Let w = t - d. What is the nearest to 2\/3 in -1.1, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/96 + 157*g**5\/16 - 195*g**4\/2 + 2335*g**3\/6 + 10944*g**2. Suppose m(a) = 0. What is a?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 2.91. Which is the fourth smallest value? (a) l (b) 0.2 (c) -1\/3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/65173 at most -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108747498*z**2 + 134824*z - 322 wrt z?\nAnswer: 217494996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 plus -3.6?\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 11*q - 10*q. What is the first derivative of 21 - 68*g**2 - 26 - 97 - 58 + q wrt g?\nAnswer: -136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.441801 times 12\nAnswer: 713.301612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-532))\/(((-20580)\/224)\/35)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 31. Suppose -5*d - 4*q + 84 = -d, 5*q + r = 0. Suppose -9*t = -4*t - d. What is the smallest common multiple of 7 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15*s - 60 = 12*s. Suppose 5*k - k = -4*u - 20, -2*k + 2*u = -2. Let o be (-1)\/(-2)*(5 + s\/k). Solve 3*d + 2*l = 0, o*l = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 5\/6*l**3 - 9\/4*l**4 + 0 - 28*l + 0*l**2. What is the second derivative of x(y) wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 - 3*i**2 + (0 + 0 + i)*(i + 3*i - 3*i))*(0*i**2 - 3*i**3 + 0*i**2) + i**5 - i**5 - i**5.\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 1, s: 2, v: 3, r: 2, z: 2}. Give prob of picking 1 r, 1 m, and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/8 - 4 - 1701\/540)*14?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(170)\/(sqrt(10) + 6*sqrt(640) + sqrt(640) + sqrt(640)))**2.\nAnswer: 68\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 4*n**2 - 8*n + 6. Let m be f(3). What is the common denominator of (-28)\/m*1 - -2 and -101\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -4, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 21. Let u be k(4). Suppose 3*i - u*i + 620000 = 0. Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2763 and 122446096?\nAnswer: 122448859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39707 - 80096 - u**2 + 40389.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 27, 36, 49, 66, 87, 112?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 2832?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.2 + -182.72. What is z rounded to 1 decimal place?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 788, 3412, 7800, 13958, 21892, 31608, 43112?\n\"Answer: s**3 + 876*s**2 - 11*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 136*i**2 + 285*i + 111. Calculate f(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 656783 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + 6. Let k(u) = 3*u. Determine k(c(v)).\nAnswer: -24*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 436243 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcccrccnrcnmr. What is prob of picking 1 r and 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -5 + 6*1. Suppose -n*q + q = 0. Suppose q*r = 4*r. Solve r = -w + 5 - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 65*d**2 - 89*d - 90. Let v be h(-1). Solve 6*o + v - 28 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgglqggq. Give prob of sequence lqg.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - sqrt(11) - sqrt(11)) + sqrt(11) + -2)*6 + (2*sqrt(22))\/sqrt(2)*-2)**2.\nAnswer: -192*sqrt(11) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from tcl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 10*i - 17. Let a be f(6). Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139555.5 minus -2788?\nAnswer: -136767.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 70, 97, 120?\n\"Answer: -2*q**2 + 37*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*57*3*(-6)\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*m + 446922, 396*t - 893948 = -4*m + 391*t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9671, 3, 0.3, 0.5.\nAnswer: -9671, 0.3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 12*n + 19*n - 58*n + 12*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 6. Let h be g(6). Let i(f) = 8*f + 76. Let s be i(-9). Solve s*n = -4*a + 32, h = -2*a + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6035, 12069, 18101, 24131, 30159, 36185, 42209?\n\"Answer: -t**2 + 6037*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -58*o + 57. Let m(l) = 49*l - 55. Calculate 6*m(q) + 5*r(q).\nAnswer: 4*q - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 15*x**2 + 43*x + 12. Let l be a(11). List the prime factors of (9 - 392)\/(l\/(-1)).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 3)*(4 - 3*w - 4) - 3*w - 3*w + 5*w)*(1 - 10 - 1)*(1 - 3 + 0).\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 c when three letters picked without replacement from {q: 3, c: 1, l: 5, y: 1, g: 3, i: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51676009 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8)**(-27))**(4\/3) assuming t is positive.\nAnswer: t**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7576*n - 13 + 3 + 10.\nAnswer: -7576*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*b - 75 + 103, 4*m + 128 = 6*b + 14*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 942 - 940. Suppose 57*g = 52*g + 15, -1944 = -d*k + 2*g. What are the prime factors of k?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t)*(2 - 1 + 7).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3\/4, -2\/13 in descending order.\nAnswer: 3\/4, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -34*g - 1175. Let z be y(-15). Is z bigger than -662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 12. Let l be 315\/10 + 2*(-2)\/(-8). Suppose 29*a - l*a = -s - 1, -s + 4*a = 4. Calculate the least common multiple of t and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 9. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/7, 194, -0.5, 0.4 in increasing order.\nAnswer: -0.5, 0.4, 12\/7, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8*l*(l**(-20)*l)\/l)\/(l**(-3\/11)*l**(-1)))**(1\/9) assuming l is positive.\nAnswer: l**(-107\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 - 13 = 4*d. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11452 and 188958?\nAnswer: 377916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 1.8\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 56*g**2 - 47*g - 428. Let m be f(55). Solve 77 - 29 = -m*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12*j - 14*j + 5*r - 79 = 0, 0 = 12*j + r - 6*r + 111 - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12138 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 438\/5 + -88. Let m(r) = -20*r. Let y be m(-1). Suppose -y = -6*q + q. Sort s, -4, q in increasing order.\nAnswer: -4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2097748745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -121 (b) -0.05 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 256037040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 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: Simplify (sqrt(133)*2*4 + sqrt(133))\/(sqrt(28)\/sqrt(4)*5 + sqrt(7)) - (-1*(0 + sqrt(2736) - sqrt(2736)))**2*-3.\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2124.9 - -2240. Let m = -115.098921 + v. Round m to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 4*u - 5*d, -3*d = 0. Let r be u\/(-4) - (-2296)\/5008. Let q = 14867\/3756 + r. Calculate the common denominator of 1\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -12)\/((-3)\/22). Let y = h + -20. What is the first derivative of -2*b**2 + 0*b**y + 4*b**2 + 12 - 2 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhshhvvsvsssshv. Give prob of sequence vv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82566*h - 82085*h - 14911 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.91505 micrometers to kilometers.\nAnswer: 0.00000009591505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0 + 1\/78*m**4 - 1\/390*m**5 + 2*m**2 - 1\/39*m**3. Factor h(x).\nAnswer: -2*(x - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/125, -4, 5, -6.222?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.695031 millennia to months.\nAnswer: 68340.372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -387525 - 27735\nAnswer: -415260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2444 (base 6) to base 3\nAnswer: 211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012112 + 11?\nAnswer: 1012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(20) + sqrt(80)*-5 + sqrt(1620)*-2)**2.\nAnswer: 14582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a638a + 1?\nAnswer: 1a638b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*(-297*f - 133*f - 205*f).\nAnswer: 635*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -992.\nAnswer: -9\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11212.799379 to the nearest 100.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -460 - -658. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 463. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d - 10. Let o be x(8). Suppose 4*v + 4*l = -v + o, 2*l - 80 = -4*v. What is the least common multiple of v and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from oqooeoeqeoeoo?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(14)\/(sqrt(14)\/sqrt(2)) - (2*sqrt(72) - sqrt(72))**2) + 2)*3.\nAnswer: -210 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2105*a**2*t**4 - 3*a**2*t**3 + 141504*a**2 wrt t.\nAnswer: 8420*a**2*t**3 - 9*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(405) - (2*sqrt(405) + sqrt(405))*-3)\/(6*sqrt(9)*-2)*5.\nAnswer: -25*sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190798 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let o(c) = c + 1. Let f(h) = 6*h**3 + h**2 + 4*h + 1. Let y(r) = f(r) - 2*o(r). Let s be y(g). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/11))**(2\/133)\/(y**(-11\/4)\/y**(-12\/13)) assuming y is positive.\nAnswer: y**(139505\/76076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (-12 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lthw when four letters picked without replacement from lwllthlllttlwlthlww?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/9))\/(n**(-6\/11)*n))\/(n**0)**43)\/(((n**(-2)*n)\/n)**(-32)\/((n*n**(2\/7))\/n)**(-9\/2)) assuming n is positive.\nAnswer: n**(-44788\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40206 (base 7) to base 12.\nAnswer: -5750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -311, -678, -1193, -1856?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:19 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + sqrt(68))**2 + -3.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -1\/3 (c) -1.55 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131271 or 5382120\/41?\nAnswer: 131271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55\/7 - -8. Which is the third biggest value? (a) 5 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 - 2 = 0. Let h(k) = -k**2 + 2*k + 6. Let p be h(u). Find the common denominator of 47\/4 and (-6)\/(-9) - 183\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/780360 and 1\/74134200.\nAnswer: 74134200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(24)\/sqrt(4)*4 + sqrt(6))*4)\/(-2*(sqrt(405)\/sqrt(9) + sqrt(45)*-3)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2 - 2*b + 1. Let x(m) = m**2 + m - 1. Suppose -19*g + 29 = 48. Give g*x(s) - f(s).\nAnswer: 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 2*a**2 - 4*a**2)*(-9 + 12 - 2*a - 8) to n + c*a**2 + x*a + d*a**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27101 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1553667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 4. Let d(r) = 2*r**3 + 13*r**2 + 8*r + 8. Let a = 58 - 64. Let c be d(a). Determine n(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -276, -279, -284, -291, -300?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -53*b + 42*b. Calculate the lowest common multiple of 20 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(192)*3)**2 + (4*sqrt(3)*3)**2 + 3 + (sqrt(108))**2.\nAnswer: 111135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose 2*n - 9 + 1 = 0. Suppose 2*u = -2*i + 20, -5*i + 78 = -n*u + 2*u. Solve -6*z - 3*c = -4*z - i, -3*z = t*c - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 5*w - 1. Let y be u(-4). Let l be y*4\/(-6) - -2. Put -1, -6, l in decreasing order.\nAnswer: l, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 1412919*g + 16954596.\nAnswer: 3*(g + 12)*(g + 470961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 42 = -2*t. Suppose -4 = -5*j + t. Suppose -2*k - 13 = -5*y, -2*y = 3*k - y - 23. What is the smallest common multiple of j and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38709)\/(-322575))\/(-1 + 4\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809592557 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202053 (base 6) in base 8?\nAnswer: 37221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-2) + -2)*94608647\/723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s. Let y(d) = -2*d**2 + 3. Let q(p) = 4*p**2 - 5. Let g(k) = -3*q(k) - 5*y(k). Calculate g(u(r)).\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2071359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 5*n**2 + 3*n. Let k be z(4). Let p = -228 + 224. Is (178\/p)\/((2\/1)\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5129*w + 11*w**2 + 4*w**3 + 14*w**2 - 44*w**2 + 19*w**2 - 5223*w.\nAnswer: 4*w**3 - 94*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 96?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = -20, 9 = o + 2*v. Is 0 - (o - -134)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + 6.2. Let i = -7 + y. Which is the smallest value? (a) i (b) -4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + 66*s - 133. Let x be j(2). Suppose 3 + 2 = u. Let p(f) = -f**2 + 5*f - 1. Let o be p(u). Sort x, 2, o.\nAnswer: x, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 407*o**2 - 82*o wrt o?\nAnswer: 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c = -35*c - 6. Let j be 0*((-4)\/(-12))\/(c\/(-3)). Solve -g - 2*x + 7 = j, -3*g + 2*g + 5*x - 21 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 1. What is v(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose 0 = -4*a - s - 176, -h*s + 3*s - 88 = 2*a. Find the common denominator of a and 1490\/(-12)*(-1)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518412709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Suppose j = -o - 8. Let b = 22 + j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.66 + -13.\nAnswer: -15.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -21*f**4\/8 - 8*f**3 - 2*f**2 + 3. What is the first derivative of q(v) wrt v?\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k + 25. Let g be r(6). Is 46\/2*(g + 24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 254, 416, 860, 1730, 3170, 5324, 8336?\n\"Answer: 24*o**3 - 3*o**2 + 3*o + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*3\/42*12. Let o(y) = 2*y**2 - 11*y + 55. Does 9 divide o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505601826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -9 + 4)*-4. What is the units digit of (k\/15)\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201018138 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 + -103. Let a = x - 11. Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1245859*g**3*v + 896592004*g**3 - 30*g*v**3 wrt v.\nAnswer: -1245859*g**3 - 90*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*j + 57 = 245, -3*j - 276 = -3*r. Let l(b) = -32*b + 162*b - 43*b + r*b. Let y(w) = -w**2. Give y(l(f)).\nAnswer: -30625*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**4 + 2*t**4 - 3*t**4)*(4 + 0 - 2) - 781*t**4 + 10554 - 10554 - t**3 + t**3 - t**4 as o*t + b*t**2 + i*t**3 + u + r*t**4 and give r.\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 316 and 0.5.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 4. Suppose -5 + 0 = -m. Suppose m*f + 0 = -3*g - 7, 5*f = 5. What is p(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182570*v + 91285*v - 5454*v**2 + 5081 + 91285*v wrt v?\nAnswer: -10908*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 3, x: 1, h: 1, k: 5, i: 1}. What is prob of sequence kex?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17628, 5 in increasing order.\nAnswer: 0, 5, 17628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -92.6001749 times -0.5\nAnswer: 46.30008745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2009071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from tttwwtwt?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 0.89, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*w = 2, w = -l - 3*w - 8. Suppose 0 = 3*f - g - g - 82, 0 = f - l*g - 44. Calculate the remainder when 46 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8853078 is divided by 52076.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -2*m + 263. Round m to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.1 * 0.4\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(7\/4)*p))\/(p\/(p*p**(-7\/3)))*p*p**(-13\/3)*p*p\/p**(-2\/49)*p*p assuming p is positive.\nAnswer: p**(-1985\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(5*5*sqrt(5) - sqrt(5)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 50. Give f(42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45976212463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 1\/12*r**3 - 1\/20*r**5 + 1 - 1\/4*r**2 + 0*r + 5\/16*r**4 - 1\/8*r**6. Let d(m) = 0. Calculate m.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*k - 1139, -3*k = -0 + 3. What are the prime factors of o?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133327 + -94920. Let u = p + -15314. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -186*s**3. Let t(b) = -124*b**3. Determine 8*t(q) - 5*z(q).\nAnswer: -62*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211da (base 16) to base 7.\nAnswer: 13031350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6974637 to 2 decimal places.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84989 = 4*x - 5*f, 28*x - 3*f = 24*x + 85003. What are the prime factors of x?\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, -619, -4629, -13103, -27529, -49395?\nAnswer: -80189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5\/7, -3 in ascending order.\nAnswer: -3, 5\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*(-1)\/((-2)\/20))\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -73533 divided by -579?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**4 + 5*o**2 + 10*o - 34. Let z(q) = -q**4 - q**2 - q - 1. Let m(c) = w(c) + 5*z(c). What is the derivative of m(r) wrt r?\nAnswer: -16*r**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - 3*g - 3. Let q(m) = -4*m**3 + 3*m + 4. Let n be (-16)\/2 + (3 - 4) + 3. Calculate n*c(s) - 5*q(s).\nAnswer: 2*s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*(b*b**3*b)\/b)\/((b*b**(-1\/3))\/(b\/(b\/b**(-1\/9)))))**(-14))**(-6) assuming b is positive.\nAnswer: b**(560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5514*c - 2079*c - 411*c - 4053*c.\nAnswer: -12057*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 3300?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461.42 - 461.82. What is the third biggest value in -0.5, 0.13, -43, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708887 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/588 - s**6\/105 + s**5\/105 + s**3\/6 + 5*s. Let l(g) be the second derivative of t(g). Factor l(n).\nAnswer: 2*n*(n - 2)*(5*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:24 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - i. Let j(b) = 5*b**3 + 19*b**2 + 17*b - 12. Let m(u) = -j(u) - 4*p(u). Give m(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*0.067614.\nAnswer: -3.245472","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 56680 divided by 20\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 = -3*p, 3*m - 13 = -4*p - 2*m. Let i = p - 2. Let x = 58 + i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o - 5*h + h, -3*h - 7 = o. Suppose -o*x = 2*r - 168, 5*r = -4*x - 0*x + 131. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971142?\nAnswer: 2, 3, 17, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 433067 and 4071?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f + 14. Let q(g) = -11*g + 7436. Give u(q(w)).\nAnswer: 132*w - 89218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/17, 17.6, -4, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1279.397 and -0.7?\nAnswer: -895.5779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 2*i + 20, 8*i - 28 = 5*n + 4*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - h + 3*h - 14, 15 = -5*h. Suppose -1 = 3*c + r. Let t be 16\/24 - c\/(-3). Solve -3*k + t*k = -4*a + 12, -a - 4*k + 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 5*f + 208. Let g be d(-27). Let p = 806 - g. What is the lowest common multiple of p and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 4, m: 1}. What is prob of sequence tttq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 56. Solve -y + 4 = g, h*g + 5 + 3 = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by (-2)\/(-2)*1*30\/((-120)\/(-124))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 534986892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 32370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*o**4*s + 3*o**4 + 18*o**3*s + 2*o**3 + o**2*s - 266*o*s + 7*s wrt o?\nAnswer: 3912*o*s + 72*o + 108*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 748\/(-33)*-10*(-18)\/120?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232687.999952 - -232691. Let k = 3 - l. Round k to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 6 - (1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*f + l + 154, -61 = -f + 5*l. What is the highest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/3)*a*a*a)*a**4)\/(a*a*a\/(a\/(a\/a**(1\/4)))*a**(-3\/5)\/a))**(7\/6) assuming a is positive.\nAnswer: a**(77\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c**2 + 7*c - 6. Let r be d(5). Solve 2*m = m + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (26 + -46 + -38).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 22 = -28. Suppose 17 + s = 3*r. Differentiate r + 2 - 2 - 6*w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from lkmmkssr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -228?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -32. What is the remainder when 87 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, o: 2}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(1728)*6 + 0)**2 + 0 + 2 + -5.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36538 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + r + 8. Let l(k) = 5*k**2 + 2*k + 12. Let p(b) = 5*l(b) - 8*q(b). Let u be p(-4). Solve 3*v + 5*s = -4, 3*v + u*s = -3 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*i = 692 - 696, 4*q - 4 = 7*i - 10*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*u**2 + 505*u - 505*u.\nAnswer: -549*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 1. Let o(m) = -14*m + 17. Let a(h) = 3*i(h) - o(h). Let j(r) = 4*r - 5. Let p(g) = 3*a(g) - 8*j(g). Let l be p(2). Solve b = -l*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -43*a**7 - 73*a**3\/3 - 154. What is the third derivative of b(m) wrt m?\nAnswer: -36120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.57 or 7?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.388177 plus -0.3?\nAnswer: 219.088177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*b**(-5\/4)\/b))\/b)*b*b*b**(2\/7))\/(b**(-1\/4))**7)\/((b**1)**6*(b\/b**(3\/2)*b)\/b**(-1)) assuming b is positive.\nAnswer: b**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1 + 6 - 3 - 1 - 1 - 2 + 5 + (2 - 1 + 1)*(5 - 4 + 1) - 6 - 4 + 4)*(-1 - 7 + 6)*(3*n - 5*n + 3*n)*(0 + 12 - 2) to the form q + a*n and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r + 22 = 0. Suppose 4*n = 2*z + 6, -2*z + 5 - r = -5*n. Which is the closest to -1? (a) -1\/6 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10957, 22201, 33729, 45541, 57637, 70017, 82681?\nAnswer: 95629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:30 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayaaaaayayyy. What is prob of picking 1 a and 1 y?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69689, -69645, -69615, -69605, -69621, -69669, -69755, -69885?\nAnswer: -70065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1445151762 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a - 43 = 70*a + 48 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4541 (b) -0.1 (c) 1\/3 (d) 1 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39870?\nAnswer: 2, 3, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/25 + -247\/675. Let u = 19\/108 + t. Which is the closest to -3? (a) -2\/3 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-30 + 31 - (2 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36736)\/99015 + (-4)\/138. What is the closest to h in 8, 2\/3, 90, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/84 and -69\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 425798*-17\nAnswer: -7238566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 736, 1103, 1470?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -4513?\nAnswer: -4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(4\/24*12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/(-40) + (-1)\/(-4). Solve q = r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/3 - 4309961*u**2\/3 - 1160985777590*u\/3 - 290246175025\/3.\nAnswer: -(u + 538745)**2*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 59*w + 28*w + 26*w as a + d*w and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 - 3*m**3 - 14 - 2*m**3 - 2*m**2 + 11 + 4*m**3 as h + c*m**3 + a*m + r*m**2 + z*m**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(216)\/sqrt(4))\/(1*sqrt(2)*-1) + (2*(2 + sqrt(6)\/sqrt(2)) + (-2*sqrt(1728) - sqrt(1728) - sqrt(1728)))**2.\nAnswer: -755*sqrt(3) + 26521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 87 = 542. Find the common denominator of (-731)\/180 - 13\/m and -92\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1052 * -2561.\nAnswer: 2694172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-9 - -2) + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 19*n**2 + 18*n - 8. Let r be l(-18). Let j be (-4 - -6)*r\/(-14). Find x, given that 8\/7*x + j*x**2 + 2\/7*x**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 6*h - 8. Let n be d(5). Let a be (-32)\/(-6) + 3\/(-9). Suppose -3*y - 4 = -a*y. Sort 5, y, n in decreasing order.\nAnswer: 5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82488 divided by -2946\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 16) to base 9.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4714171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397399, 794796, 1192193, 1589590, 1986987?\nAnswer: 2384384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-two fifths of a minute?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6809.4116217 - 6809.44. Let b = y + 0.0283. Round b to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 2, -6 in descending order.\nAnswer: 44, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzzt when four letters picked without replacement from {t: 2, z: 8, l: 9}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 + 9*c - 3. Let n be a(6). Let z = 335 + n. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 27*b**2 - 5*b - 2. Let r(m) = -14*m**2 + 3*m + 1. What is 5*r(q) + 3*v(q)?\nAnswer: 11*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-258)\/15 - (-3)\/15. Let h(m) = -8*m + 3. Let n be h(4). Let r = c - n. What is the least common multiple of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 259535*y\/4 + 129767\/2.\nAnswer: (y + 1)*(y + 259534)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -556332336*i*j**3*v - 4*i*j**2 + 3*i*j*v + 2*i*j + 2*i*v + 769*j**2 - v + 10 wrt j.\nAnswer: -3337994016*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -61. Let d(r) be the third derivative of -1\/735*r**7 + 0*r + 1\/210*r**6 - 1\/210*r**5 + 0*r**3 + 2*r**2 + 0 + 0*r**v. Solve d(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5522, -7975, -10428, -12881?\n\"Answer: -2453*k - 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1)\/3)\/(((-35)\/(-50280))\/(-7)) and 4.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1374*b - 8. Let p(k) = k**2 - 7*k + 9. Let g be p(6). Suppose -g*f - 2*h = 18, 21 - 4 = -4*f - 5*h. Let t be z(f). Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6391637?\nAnswer: 7, 139, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 67, 138, 227, 328, 435?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, 61, 211, 439, 745, 1129, 1591?\n\"Answer: 39*c**2 - 45*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1261, 1265, 1273, 1285, 1301?\n\"Answer: 2*p**2 - 2*p + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1815 - 3622 + 1811 = 2*v, -28*y + 2*v - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 594386650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.1, -0.06, -0.5 in decreasing order.\nAnswer: 12, 0.1, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -68, -159, -286, -449?\n\"Answer: -18*z**2 - z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:32 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -c722b (base 13) in base 11?\nAnswer: -225377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 - 14. Suppose 0 = 160*j - u*j. Suppose j*y + 2*y - q - 43 = 0, y - 23 = -q. Which is greater: -1\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -5\/3*x**3 + 1\/2*x**4 - 9*x + 32 + 0*x**2. Differentiate l(t) with respect to t.\nAnswer: 6*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:57 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -460 - -459.78176. What is p rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose -n - 24 = -k*n. Let j be (n\/24)\/(14\/(-18)). What is the smallest value in 0, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:00 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 0*d + 3*d - 10*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3940 is divided by 122.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27104*v + 13554*v + 13549*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -b - 9, 6 = -3*n - 9. What is the units digit of b\/((-44)\/(-48)) + (-6)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*-1*sqrt(1331) + 1 + (sqrt(11) + -3*sqrt(33)\/sqrt(3) + 1*sqrt(11)*6)**2 + -5).\nAnswer: -275*sqrt(11) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n - 69*n - 179*n + 28*n + 47*n - 84*n.\nAnswer: -205*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 176*r**2 - 349*r - 30066. Calculate y(-175).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 + 312*v**2 + 324*v + 8. Let g(i) = 2*i**3 + 104*i**2 + 108*i + 3. Let d(s) = -8*g(s) + 3*z(s). Find m such that d(m) = 0.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 17*s**2 - 17*s + 3. Calculate the remainder when 81 is divided by b(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*1*16\/(-44). Let -2\/11*y**4 - 2\/11*y + 0 + 2\/11*y**2 + n*y**3 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let c = -267.5 + 210.5. Is k smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 33*j - 1638 = 0. What is the remainder when j is divided by 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 11*b**2 + 44*b - 22. Calculate the least common multiple of 338 and i(14).\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146.7*502\nAnswer: -73643.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7203*m**5\/4 - 53508*m**4 + 269010*m**3 - 550200*m**2 + 511500*m - 180000 = 0. What is m?\nAnswer: 10\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19550 (base 13) in base 2?\nAnswer: -1100000001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -16*c**2. Let j(r) be the second derivative of -r**3\/6 - 20*r. Calculate y(j(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -495806314.7090479 - -492577759.66905. Let s = -3228507.04 - t. Let k = -48 + s. What is k rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563661120.\nAnswer: 2, 5, 7, 53, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (60\/(-5))\/3. Let v(c) be the first derivative of 0*c**s - 1\/3*c**3 - 4 + 1\/4*c**4 - 3*c. Give v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4976772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115.4 + -7.6. Let x = a + 122.99857. Round x to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*(1*sqrt(576) + sqrt(576) - sqrt(576)))\/(5*(sqrt(18) - sqrt(2))*4))**2.\nAnswer: 197\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -49. Let u(n) = 3*n - 37 - 306121*n**2 - j*n + 15 + 9*n. Let w be u(-7). Round w to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22491 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + o)*(11 + 2 - 2)*((1 - 2*o - 1)*(2 + 0 - 1) - 3*o + 2*o + 2*o) to h + z*o + j*o**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346647428.\nAnswer: 2, 151, 5540807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032330 + 1?\nAnswer: -1032323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - o = -8, 4*a - o = 19 + 8. What is the highest common divisor of 63 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195296140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:33 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26007 is divided by 25877?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 8*d**2 - 35 + (4 - 4 + 6)*((-d + 5 - 5)*(-15 + 9*d + 15) - 5*d**2 + d**2 + 2*d**2) in the form f + s*d**2 + r*d and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/15 + -2 - 3888\/(-45). Suppose -3*c - 4*p - 348 + 69 = 0, c - p + l = 0. Let r = 66 + c. Is -22 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 11. Let a = 3 + b. Let s(u) = u**2. List the prime factors of s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -12, -341, -10 in decreasing order.\nAnswer: 14, -2, -10, -12, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**2 - z - 8. Let x(k) = 1. Give o(j) - 3*x(j).\nAnswer: -10*j**2 - j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x, -4*x + 20 = 4*q. Sort q, -2, 9 in ascending order.\nAnswer: -2, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -1\/6*t**3 + t**2 - 1\/8*t**4 + 0 + 11\/60*t**5 + 0*t. What are the prime factors of w(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1424.36 - 1449. Let w = -0.36 + u. Let a = 24.986 + w. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*x - 3*x + 357 = 0, -735 = -2*r - 3*x. Suppose -3*o = -1509 + r. Suppose 5*z = 4*z + o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 9*r - 14*r - 2*w, -28 = 3*r + 5*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115638, 115631, 115624, 115617?\nAnswer: 115610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -597*v - 2395. Determine h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10*d**4\/11 + 86*d**3\/11 + 224*d**2\/11 + 136*d\/11 - 96\/11 = 0?\nAnswer: -4, -3, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 764 - 210. What is the remainder when u is divided by 108?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t**(-1))\/t)\/t)\/t)**(-8)*t**(-2)*t**(1\/2)\/t)\/(t**1*t\/((((t\/(t\/t**(-2\/21)))\/t*t*t)\/t)\/t))**(-18\/7) assuming t is positive.\nAnswer: t**(2887\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7 - -2) + 387)*(-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -376 and -386 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*u, 4*u = 2*k + 2*u - 32. Suppose -g = -6*g - 3*i + 117, -9*g - 2*i + 180 = 0. Calculate the least common multiple of g and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*l**2 + 88*l**3 - 10*l**3 + 54*l**3 wrt l.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22026 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958063 is divided by 7857.\nAnswer: 7366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 238 = 1676. Let c be 2\/(-6) - (x\/99 - -4). Are -6 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 + 5*p. Let x be m(-5). Let r be 1\/1 - (x + -1). Suppose -2*n - n = 4*i - 159, 0 = -3*n - r*i + 159. Is n 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 4464304?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.1, -2\/13, -4, -1.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -280065000 rounded to the nearest one million?\nAnswer: -280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1331\/12 - -111. Let a = 34944 - 663934\/19. What is the third biggest value in a, n, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g**2 - 340*g**3 - 2 + 713*g**3 - 374*g**3 to the form w + p*g**3 + j*g + b*g**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21065 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55266282283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 2\/(-1 - 1). Are v and 6 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27457 by 10.\nAnswer: 27457\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 2*b**2 + 3*b - 2. Let f be l(-3). Let j be f\/(-3)*4*9. Calculate the greatest common divisor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0 + 44*b + 1\/3*b**3 + b**2 - 13\/4*b**4. What is the derivative of s(c) wrt c?\nAnswer: -78*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860 - 286 - 285 + 6*r - 289.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 3*a**2 - 8437 + 8437.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52407483 and 0.5.\nAnswer: 26203741.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 29)*-3 - 32\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*o = 52, 10*o = -5*d + 11*o + 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16619?\nAnswer: 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*m - 538. Let z = 2671\/4687 - 90\/109. Calculate the common denominator of -1 + 1 + 319\/m and z.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*a = 25, -a - 20 = -5*a. Solve 13 = -5*k - d + 4*d, 5*k + 4*d + 41 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 21 - 6 - 39*f + 4*f - 12.\nAnswer: -52*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 0.1, 3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30616*h*m - 195*h - 467598615*m wrt h?\nAnswer: -30616*m - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-21)*81975\/14209*4\/(-5)\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4343 + -11?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 160\/(-48)*9\/(-10). Let s = -5 + 5. Solve 0*j + i*j + 12 = s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -13. Suppose 4*w - 2*d + 1 = 25, 8 = 4*w + y*d. Suppose -2*n - 2*m + 120 = 0, -3*n + w*m = 5*m - 176. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37586723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 39026 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -r - 19, 52 = 3*p - r + 3*r. Let h be 4 + -6 + 6 + -5. Let o be (-7)\/(-21) - (-532)\/6 - h. What is the greatest common factor of p and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994039.3ml in litres?\nAnswer: 994.0393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -213. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vibmbbwwbii. Give prob of sequence miv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let n(w) be the second derivative of -w**7\/360 - w**4\/6 - w. Let j(d) be the third derivative of n(d). Give m(j(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2947*k + 2942*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3 - (-2 - 1)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2 + 9 - 4 + 8*a - 10*a**2 + a**3 + 0*a. Let d be r(9). Sort -4, d, 2 in descending order.\nAnswer: 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 26 - 19. Suppose -60 = m - 4*m. Let j = m - u. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o - 66. Let q(r) = 390*r - 1180. Let m be q(3). What is y(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d + 23 - 287 = 121 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 21. Let n be u(-19). Let z be (n\/12)\/((-5)\/10)*-42. Solve -5*o - 11 - z = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 5*n + 3. Let d be g(-5). Solve 2*w - d*w + 19 = -3*h, -4*h = -3*w + 32 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 160*l - 46648\/9.\nAnswer: -2*(l - 686)*(l - 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27650831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247*0.3.\nAnswer: -374.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l + 4. Let n(x) = 7*x - 2*x - 10 - x**2 - 3*x + 8. Let r(c) = -5*c**2 + 9*c - 9. Let i(s) = -18*n(s) + 4*r(s). Calculate o(i(t)).\nAnswer: 16*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 15*z + 15. Let c = 28 - 19. Calculate the smallest common multiple of c and v(-19).\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-442)\/34*(-1542 + (2 - 3)). What is the greatest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + 165. Suppose 3*x + 4*w - y = 0, 0*x + x - 93 = -5*w. What is the remainder when x is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = 8*s, 4 = m - 15*s + 16*s. Solve 2\/7*y**3 - 8\/7 + 18\/7*y - 12\/7*y**m = 0 for y.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a. Let v(d) = -11*d - 6. Let i(m) = -1. Suppose 6*c + 6 = -30. Let q(h) = c*i(h) + v(h). Determine z(q(n)).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1594 + 1599. Sort 0.5, -2\/11, 16, n.\nAnswer: -2\/11, 0.5, n, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2*f = -23, -5*r - 2*f + 13 = 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d0c4 + -2?\nAnswer: 3d0c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 55 + 65 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -420505, -3\/7, -0.08 in increasing order.\nAnswer: -420505, -3\/7, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - 57. What is the remainder when (2\/4)\/((-2)\/v) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x**3 - x**2 - x - 1. Let y be s(-1). Suppose -26 = 5*n - y. Let c(b) = -87*b + 4. Is c(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-700)\/840 - (-2)\/(-12). Let h = 669977\/60 + -11166. Let q = h - -7\/15. Put -5, y, q, 0.4 in decreasing order.\nAnswer: q, 0.4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = -3*v, 3*v = s - 3*s + 19. Let i(q) = q**2 + 3*q - 2. Let r be i(-4). What are the prime factors of r + 38\/4*s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-2)*19*-2. Let a(t) = 15*t - 11. Let k be a(2). Let n(r) = r**2 - 13*r - 95. Let m be n(k). Calculate the greatest common divisor of o and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - 0.51. Let y = 0.26 + g. Let r = 2.23 - y. What is r rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 27*p + 17. Let l(c) = -5*c**2 - 53*c - 37. Calculate -13*b(g) - 6*l(g).\nAnswer: 4*g**2 - 33*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50 + 1a4881?\nAnswer: 1a4911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 23 = 32. Let l = 154 - m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-2))\/((-4)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5413?\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**8\/6720 + z**7\/840 + z**6\/360 - z**5\/60 + 5*z**4\/12 + 8*z. Let j(w) be the third derivative of k(w). What is j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 212*s**2 + 1915*s + 22. Let d(r) = -71*r**2 - 638*r - 8. Let y(z) = -22*d(z) - 8*j(z). Find the second derivative of y(q) wrt q.\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 1 (c) -5 (d) -4 (e) 2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 3*v**2 + 2*v**2. Let z(f) = -13*f + 6. Let q(g) = -53 - 51 + 83*g + 138*g. Let y(u) = 3*q(u) + 52*z(u). Give y(s(h)).\nAnswer: 39*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656 divided by -16.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) -0.3 (c) 29 (d) 8 (e) 0.19 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2 + 0 - 6*d**3 - 3 - 2 + 2*d. Let z(g) = -7*g**3 + 3*g - 4. What is -5*a(n) + 4*z(n)?\nAnswer: 2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 7 = 2*j - g, 0 = 2*j + g - 41. What is the second derivative of -21*m**2 + j*m**2 + 17*m - 35*m**2 + 5*m wrt m?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9006 times -3?\nAnswer: -27018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - r - 200 = 0, -3*a + 60 + 247 = -5*r. Suppose s - 4*s = -a. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -7, 1\/11, 1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55, -192, 0.5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1048*d + 1748. What is q(2)?\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*p**3 - 329*p**3 - 83*p + 168*p**3 in the form i*p**3 + m + h*p + f*p**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from byyyyyyyyyyyybby.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.885 + 28.885. What is the nearest to 0 in t, -0.22, 0.4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmtb when four letters picked without replacement from bbtbmttmtmmm.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 45*u - 14. Let q be 93\/(-12) + (5 - 51\/12). Suppose -w - 5*t = -38, -5*t + 17 = -w + 85. What is the remainder when w is divided by x(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36037.\nAnswer: 36037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693)*1*-1)\/(sqrt(22)\/sqrt(2)*1))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y = 392 + 352 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9123*j - 8674*j + 12123 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**8)**(-24) assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 14*c**2 - 69*c + 824. Calculate j(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2088057, 2088059, 2088061?\nAnswer: 2088063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfl when three letters picked without replacement from hlhhhflhkkhhfllfhh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + j = 72454, -3*g + 45019 = 3*j + 1549. Suppose g = 3*t + 40*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j + 11. Let v be h(10). Let l = -25 + v. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -355, 3 in descending order.\nAnswer: 3, 1, -4, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1497\nAnswer: -7485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.83 + 23.23. Let z = 142797 + -142788.6023. Let n = w - z. Round n to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/45 - 7*q**5\/45 - 13*q**4\/54 + 44*q**3\/27 - 20*q**2\/9 + 134*q. Let c(o) = 0. What is o?\nAnswer: -2, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 + 4 - 1)*(0 + 4 - 5)*(-2*i**2 - 2 + 2).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 + 161 - 46*z**2 - 52*z**3 - 53*z**3 - 321.\nAnswer: -105*z**3 - 46*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 3*z = 52*v - 11, 6*v - 2*z = 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*(-37)\/8 - (-52)\/(-208) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4578*s - 41351. Calculate d(-9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + 3.8. Suppose 0 = 2*w - 4. Let y be (4\/(-14))\/(-1 + w). Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 5 (c) 1\/120 (d) -0.5 (e) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:37 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 19*p**3 - 61*p**2 + 6*p + 2. Let s(v) = -2*v**3 + 2*v**2 - v. Calculate -r(j) - 6*s(j).\nAnswer: -7*j**3 + 49*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, 2, 21, 9 in decreasing order.\nAnswer: 21, 9, 2, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 58. Let a be 150\/36 - d\/6. Does a = 25\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 3903 = 3930. Let u be (q\/4)\/(76\/(-896)*-21). Factor u - 2\/19*b - 8\/19*b**2 + 2\/19*b**3.\nAnswer: 2*(b - 4)*(b - 1)*(b + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*u + 6656 = -787*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.973 to one dp.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3 + ((sqrt(45) - sqrt(180)\/sqrt(16)) + sqrt(45))\/(sqrt(63)\/(sqrt(7)*2)))*5 + -3)**2 + -1.\nAnswer: 960*sqrt(5) + 2148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -249, -432, -685, -1032?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from {e: 3, z: 5, k: 3, q: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f - 102*f = 4*o - 77, -7*f - 71 = -4*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:22 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 3. Let a(s) = -s - 1. Determine -7*a(g) + 2*v(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323 = 3*c + 3*t, 221*t = 224*t + 6. What is the remainder when c is divided by (33\/(-2) + -2)*-2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/3)*(a*a**(-12))\/a assuming a is positive.\nAnswer: a**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*z**3 + (36 + 34 - 80)*(z**3 - z**3 + 2*z**3) - 2*z**3 - 2 + 2)*(30 + 5*z**2 - 30).\nAnswer: -120*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/11 + 18*v**2\/11 - 16*v\/11.\nAnswer: -2*v*(v - 8)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -2, -1, 3 in decreasing order.\nAnswer: 8, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*d**2*s**4 + 2*d**2*s - 818281*d*s**4 + 3901*d*s - 2*s**2 - 54*s wrt s?\nAnswer: -696*d**2*s - 19638744*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/90 - m**5\/60 - 7*m**3\/6 - m. Let i(l) be the second derivative of w(l). Find the second derivative of i(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 11, h: 7, s: 1}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*h = -41*h - 40*h + 1266 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 4 = -10*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*d - 9 = -7*s + 6*s + 1, 121*s - 133*s = 5*d + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 347 and 2532059.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/(4 + 18\/(-5)). Let r(o) = 12*o**2 - o + 2. Let l be r(b). Suppose -l = -3*a - 2*x, -a - 10 = 2*x - 43. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-420)\/(-810)*18\/42).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 192*p - 734. Let j be f(4). Determine a, given that 32\/5 - 2\/5*a**j + 6*a = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50983 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i + 8. Let h = -22 + 30. Is 26 a factor of s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:34 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 19 - 44 - 4778*q + 13)*(0*q**2 - 2*q**2 + q**2) as z + h*q + u*q**3 + i*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*k - 25*k - 24*k + (0 + 0 + k)*(-3 + 5 - 3) + 4*k - 5*k - k + 0*k + k - 3*k + 0*k + 3*k - 2*k to the form y*k + p and give y.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1303500 and 616990?\nAnswer: 92548500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v + 16 - 16 = 0. Sort -95, 3, v, 4 in decreasing order.\nAnswer: 4, 3, v, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-4)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 - r. Let u(d) = -25*d**2 + 24*d + 11. Let f(x) = -5*x**2 + 5*x + 2. Let h(y) = -11*f(y) + 2*u(y). Let q(j) = h(j) - 2*l(j). What is q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + 10*j. Let c(d) = 2*d**3 + 5*d. Let y = 248 + -235. Calculate y*c(k) - 6*q(k).\nAnswer: 2*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/972 and 109\/18.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9.1. Let b = h - 2.21. Let o = b - -0.110044. What is o rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 31838.1651 microseconds?\nAnswer: 0.00000005264246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 0.3, 0.31, -1\/4 in increasing order.\nAnswer: -0.3, -1\/4, 0.3, 0.31, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2984*(15 + 2499\/(-168)). Solve 378*n - 18 = -s + t*n, -4*s = 3*n - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**2*u*u)*u)**46\/(u\/u**(-2))**(-32) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -o - 2, 2*o - 6*o - 8 = 4*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/4 of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/206528?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 29 - (1 - (-9 - -12) - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let q(g) = -g**2 + 3*g**t - 2*g**3 + g**2 + 8 - g. Let f be q(0). What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 185*v**4\/6 - v**3\/3 - v**2 + 15*v. Let t be s(-1). Suppose -2*i = -t - 468. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8229453 weeks in seconds?\nAnswer: 497717.31744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1456337\/(-138) - -20)\/((-2)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-14) + (-2)\/(-4). Suppose 0 = 17*y - y - 32. Solve s = d + 1 - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 5.\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 984 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 53*r**3 - 27 + 18 - 2*r**2.\nAnswer: -53*r**3 - 2*r**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(3*84\/54)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 54 + 2*j + 65 - 4*j + 3*j**2. Let s(x) = x**2 + x. Let g(t) = c(t) - 4*s(t). Calculate the remainder when 22 is divided by g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/6, -21\/8, -4, 395?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**7\/315 + r**6\/90 - r**5\/90 - 49*r**2 + 40. Let j(g) be the second derivative of s(g). Factor j(q).\nAnswer: -2*q**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {v: 1, l: 5, s: 1, d: 2, e: 7}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 14*x + 137. Give p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 6*f**2 + 0 - 1\/315*f**7 + 0*f - 1\/15*f**5 + 1\/9*f**4 + 1\/45*f**6 - 1\/9*f**3. Factor a(x).\nAnswer: -2*(x - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2522 - 2522. Solve n = -5*v - 4*h + 7, -3*v + 2*h = -2*h + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/12 - (-10)\/(-4). Let g(i) = 3*i**3 - i - 1. Let y be g(h). Let q be (y + 12)*(-10)\/(-6). Solve -5*n + 2*n + q = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3808, 6199, 8592, 10987, 13384, 15783, 18184?\nAnswer: 20587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 875 and 1199198000.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 + 1576*l - 78 - 57 - 336*l - l**2 to r*l + g*l**2 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61690116 divided by 20563372.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggghmtmhhthgcmmxchhh. What is prob of sequence xmhh?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 110, -0.3 in descending order.\nAnswer: 110, -0.3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, z: 2, o: 4, v: 1}. What is prob of sequence uov?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72275007 and 21?\nAnswer: 72275007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-39)*10\/15.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1152)\/(-1056) - 5\/55.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10) - (12 + 3056\/(-160))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11444*n**2 + 20 - 771 + 11446*n**2 in the form b*n + d*n**2 + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) - 834\/(-10). Let b = -42 + f. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Put -0.3, -4, k in descending order.\nAnswer: k, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1222 - -1111201?\nAnswer: 1106646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.34, -4, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 155*y + 0 - 5 + 45*y to the form d + i*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**3 + 4*n**3 - 2*n**3)*(-1585*n - 3325*n + 252*n + 347*n - 5082*n) as k*n**4 + z*n**3 + x*n + i*n**2 + u and give k.\nAnswer: 9393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 2*b**4 + 3*b**3)*(27 + 25 + 8)*(-2 - 3 + 3).\nAnswer: -240*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -6, -0.1 in decreasing order.\nAnswer: 4, -0.1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -35*u + 67*u - 40*u + 3*u**2 - 12 - 2*u**2. What is y(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152\/(-28) - 3\/(42\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7301 (base 8) to base 7\nAnswer: 14004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 112*u - 108 = 0. Calculate u.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7*j + 18 = -9*j, 3*j + 15 = d. Suppose d*x - 19 = 209. Let b = x + -3. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -262177?\nAnswer: -13633204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -250648 divided by -4?\nAnswer: 62662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/3360 + s**7\/504 + s**6\/180 + s**5\/6 - 16*s**2. Let n(o) be the third derivative of q(o). Factor n(c).\nAnswer: -2*(c - 2)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -647. What is the remainder when t is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - (1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/23 (b) -0.5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 58*p + 2*p**2 - 54*p)*(6*p**2 + p**2 - 2*p**2)*(-p + 1 - 1).\nAnswer: -10*p**5 - 20*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:05 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 92 = 3*x, 131 = 4*x + n. Let z = 165 + -80. What is the remainder when z is divided by 765\/x + (-2)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 900611489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 + -197. Suppose -115 = -z*v - 11*v. Solve -v*q + l - 4 = -13, -3*l - 15 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*o + 483. Suppose -3*t = -o - 21. Calculate the highest common factor of t and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18151, 35369, 52585, 69799?\nAnswer: 87011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*i - 385*i - 7*x = -26, i + 5 = 2*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392982 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*p + 52 = 2*v, -v + 24 = 3*p. Let i = -19 + v. Is 6 a factor of -3*3\/(-9) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -o - 0, 3*o + w = 11. Suppose 10 = -o*r - 12. Is 5 a factor of 3 + 0 + 33 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625741.4 litres to millilitres.\nAnswer: 625741400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -10 - (11 - (-4 - -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -11*u**3\/3 + 27*u**2\/2 - 2*u - 17. Let d(g) be the first derivative of l(g). What is the derivative of d(z) wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 - (8 - (12 - 0))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = 10*t. Let p be t - 1 - -3 - 17. Suppose -r + 5*r = -64. Does p = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2 + 4*k**3 + 3*k**2 - k**5 - 7*k**4 + 20*k**2 - 12*k**3.\nAnswer: -k**2*(k - 1)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/2476 - -4979\/7428. Which is the nearest to 8? (a) h (b) 1 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*n - 88314 - 65228 + 12830 = -728*n for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10132120223 (base 4) to base 7\nAnswer: -12653633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o)\/o**(-2)*(o**(-2\/11)\/o)**(3\/11) assuming o is positive.\nAnswer: o**(687\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*t - 346 = 0, -l + 4*t + 6 = -74. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s + 8. Let c be g(4). Suppose c*b - 5*f + 67 = b, -b - 4*f - 11 = 0. Let l(k) = 5*k**2 - 23*k - 59. Is l(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1335, 2673, 4011, 5349, 6687?\n\"Answer: 1338*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1995, 4077, 6381, 9021, 12111, 15765, 20097?\nAnswer: 25221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z + 10. Is m(3) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*b + 1738, -6 = -3*j + 6*j. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 20*d + 5\/6*d**3 + 0*d**2 + 0. What is i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*o + 16, 21*v - 16*v + 28 = -3*o. Let n be (-20)\/315 - 2\/(-7). Which is the nearest to n? (a) -4\/9 (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 367447 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-506)\/(-88))\/(423\/(-6768)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2979144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2450 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 26*h**2 - 10*h - 4. Let j be w(7). Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let r(w) = w + 3. Give -5*p(v) + 2*r(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**38 assuming v is positive.\nAnswer: v**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1916\/10217 - 42\/601. Let o = -8 + 12. What is the closest to 1 in 0.1, b, 2, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1070 + -1070.4. What is the closest to 0 in -0.5, 0.2, -0.3, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 1 - 3\/4*s**4 + 0*s**2 + 0*s - 5\/3*s**3. Find the third derivative of g(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74*p - 46*p + 14 - 35*p)*(-3 + p + 3) - 5*p**2 + p**2 + 3*p**2 to the form v + u*p**2 + y*p and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k - 4. Let g be 909534\/1190 + 1\/(5\/2). Let f = 765 - g. What is the nearest to f in -1, k, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 252932*r - 1770536. Calculate m(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + c**3 + 2*c**3)*(-2*c - 2 + 2) + 4*c + 934*c**4 + 927*c**4 - 1851*c**4.\nAnswer: 6*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -138*z + 6. Is l(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -101. Let m(h) be the first derivative of 0*h - 2\/15*h**5 - 2\/3*h**2 + 1\/3*h**4 + 2\/9*h**3 - p. Solve m(s) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*b**3 + 608 + b - 2*b**2 - 1180 + 580 in the form l + f*b**2 + v*b + o*b**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -121\/527, 13\/5, 0, 2 in decreasing order.\nAnswer: 13\/5, 2, 0, -121\/527, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105.11 + -85.11. What is the second smallest value in -1, 2, s, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 33*p**2 - 19*p - 39. Is v(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445*v**2 + 32640*v + 184320 = 0 for v.\nAnswer: -192\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*d**2 - 1518*d**2 - 2330*d + 2330*d.\nAnswer: -1371*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(104)*-3 - sqrt(104) - (sqrt(104) + sqrt(104) + 1*1*sqrt(104)))\/(-2*(sqrt(32)*1 - sqrt(8) - sqrt(32)\/sqrt(4)*3)).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + -2*3*sqrt(847) + 4 + 2 + sqrt(847) + -1 + 1)**2.\nAnswer: 220*sqrt(7) + 21179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + 3 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 1. Let n(k) = -2*k - 1. Let u(w) = -3*a(w) - n(w). Let g be (-4)\/(-14) + 120\/(-28). What is the units digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1716132, -3432277, -5148422, -6864567, -8580712, -10296857?\n\"Answer: -1716145*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 0.02. Suppose j + 1 - 2 = 0. Let f = 0.5 + -1. What is the nearest to j in z, f, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*m = 21*m + 29 + 138 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049899 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407 + 211. Let k = r + 275. Suppose 0*h = 3*f - 5*h - k, -3*f - 5*h = -59. Calculate the highest common factor of f and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v - 28. Let o(l) be the second derivative of l**4\/12 + l**3\/3 - l**2 + l. What is the least common multiple of r(8) and o(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 772742\/10 - (-4)\/(-20). What is the highest common factor of 106 and r?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89843.51642 rounded to the nearest one hundred?\nAnswer: -89800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*y + 190*y = -6*y + 12880 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-45))\/(6\/52770) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5808\/42 + (-4)\/14. Let o = -134 + b. Solve n + o = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-296)\/(-7) + 92\/(-322))\/((-15)\/40)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 - 4*q - 4. Let p be c(-3). Let n = -3 - p. Let g = -7 - -4. Sort 0, g, n.\nAnswer: g, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o. Let g(c) = -2*c**2 + 15*c**2 - 40*c + 0*c**2 - 6*c**2 - 3*c**2. What is g(t(v))?\nAnswer: 1444*v**2 + 760*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20737758.\nAnswer: 2, 3, 941, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 12. Let v be 104\/65*5\/w. Let m be -3*v\/144*(3 - 17). Which is bigger: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2914, 3745, 4578, 5413, 6250, 7089?\n\"Answer: l**2 + 828*l + 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n - 42 = -100*n + 193*n. Let m(z) = -3*z + 7. Give m(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:56 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2547569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5100 - -5229. What is the remainder when 6062 is divided by i?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3285364702 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 20315, 3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2662506 and 36771?\nAnswer: 274238118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.2221 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = b. Let x(p) = -p**2 + 5*p - 1. Let n be x(2). Suppose n = b*u - 15. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*6*7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 + 1. Let u be o(2). Suppose 0 = -3*g + u - 4, 3*p - 4*g + 8 = 0. Let y be (-12)\/(-5) + p\/2. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39 - (-7)\/(7\/(-4)). Suppose -12*k + g = -7*k. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 129*r - 127*r + 4*j, r = 3*j - 10. Factor 3\/2*o + 9\/4*o**r + 1\/4.\nAnswer: (3*o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -5 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - n = 0, -4*t + 4*n = -7*t. Suppose t = l + 4, -5*l + 8 = 3*o + 1. Suppose 1 + o = 5*p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1431 (base 9) to base 3.\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u + 0*u)*(11*u**2 - 11*u**2 + 14*u**4).\nAnswer: 28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 371 = -193. Suppose -3*v + 5*j + 658 - h = 0, -5*v + 5*j + 770 = 0. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3030, 6151, 9450, 13017, 16942?\nAnswer: 21315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -110032040?\nAnswer: -110032040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2460*d**2 + 2473*d**2 + 2*d**3 - 3*d**4 + 2*d**4 as y*d**4 + b*d**3 + h*d + n*d**2 + q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 9*n**2 + 24*n - 34. Let d be t(6). Let y be (-3)\/18 - (-19)\/6. Suppose 4*o = y*o. Solve g = -4*i + 4, -5*i + o*g - 3*g - d = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-45)\/12*(-8)\/(-20)). Let o be 7*p\/(-56)*(-16)\/(-6). Is o at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472679, -945316, -1417953?\nAnswer: -1890590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/28*84\/(-6). Let s be (12\/15)\/(3\/15). What is the greatest common factor of d and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -114, -87, -24, 87, 258?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2259, -5 in increasing order.\nAnswer: -2259, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnffffnnfnfnfnfffnf. Give prob of picking 2 f.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 600495 to the power of 1\/2, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.01 rounded to the nearest 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 25. Let r(l) = 3*l - 74. Suppose 5*c = 3*v - 123 + 129, -3*v - c + 12 = 0. Give v*r(u) - 8*h(u).\nAnswer: u - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)*1*-3)\/(sqrt(5) + sqrt(60)\/(sqrt(36)\/sqrt(3))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*s**2 + 3*s**2 + 4 - 2*s**2 as m + p*s + i*s**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:34 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(78) + (sqrt(78) - (sqrt(78) - (1*sqrt(78) + sqrt(78) + sqrt(78) - sqrt(78))) - sqrt(78)) - sqrt(78))\/sqrt(6).\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 17 + (4 - 19\/8)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.071 - 0.071. Put o, 4, 2\/17 in decreasing order.\nAnswer: o, 4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/50)\/((-2)\/1180*4) and -23\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/75 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -13)*6\/18. Let k(j) = j**3 - 5*j**2 - 6*j + 4. Let l(v) = 2*v - 2. Let i be l(4). Let y be k(i). Sort 1, m, y in descending order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/180 and 103\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323398 + 15065707.\nAnswer: 16389105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v**2 + 89*v**2 - 187*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786656 = -37*x + 99*x - 36*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 6. What is the third derivative of -m**5 - m**5 - 5*m**s + 0*m**2 + 0*m**2 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2431*m - 710. Let w(r) = 2427*r - 715. Let l(q) = -3*h(q) + 4*w(q). Differentiate l(c) wrt c.\nAnswer: 2415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/10*(-24)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**1))\/((c\/c**(-2\/13))\/c)*c\/c**(2\/3)*c**(-7)\/c)\/((c**0\/(c*c**1*c))\/(c**(-6)\/((c*(c\/((c\/c**(-2\/15))\/c))\/c)\/c))) assuming c is positive.\nAnswer: c**(-2279\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 802*o**2 - 12*o + 12. Let a(z) = z**3 - 801*z**2 + 9*z - 9. What is -4*a(c) - 3*x(c)?\nAnswer: 2*c**3 + 798*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.38 and 0.0011332.\nAnswer: -0.3788668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 9\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -7, -144, -441, -952, -1731?\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 992, 1887, 2782, 3677, 4572, 5467?\n\"Answer: 895*c + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f - 94*f = 57 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40624 divided by -1.\nAnswer: 40624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 - 19*d**4\/12 + d**3\/6 + 29*d**2\/2 + 55*d. List the prime factors of a(-20).\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122122222111 (base 3) to base 14\nAnswer: -90a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1426502108 and -365248.\nAnswer: 1426136860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10101100111110000101 (base 2) to base 3\nAnswer: 1022222212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f + 15. Let p(u) = u - 8. Let s(w) = -w + 7. Let t(g) = f*s(g) - 4*p(g). Let c be t(0). Calculate the greatest common factor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - g + 1. Let z = 11 - 8. Let n(o) = -6*o + 20*o - 15*o + 3 - o**2 - 2. What is z*n(b) - m(b)?\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 79. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/175? (a) 4 (b) 39 (c) 1 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2892 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 4*l**2 + 3. Let g = 27 - 59. Let k be (2 - 3)\/(8\/g). Let s be o(k). Solve u - 3*j = s*u + 2, -5*u - 2*j + 17 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s**3 + 56 - 5*s**2 - 212 + s**3 + 39 + 51 + 13*s. What is h(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -97 + (71 + -1 - -2).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/13? (a) 22 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**2 + 109*f - 128. Let z(u) = 5*u**2 + 27*u - 32. Let p(d) = 2*s(d) - 9*z(d). Does 29 divide p(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*-4 - sqrt(84))\/sqrt(12) - 5*sqrt(252)*-2.\nAnswer: 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 273, 1054, 2349, 4158, 6481, 9318, 12669?\n\"Answer: 257*a**2 + 10*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 - 190*n**3 + 2306*n**2\/3 - 578*n = 0 for n.\nAnswer: -289, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 - 0.11. Let m = -0.07 + 4.07. What is the nearest to x in 2\/5, -0.4, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:31 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 7, n: 2, h: 2, y: 1, w: 1}. Give prob of picking 2 q and 1 m.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227 - -225. Is 1 + 14\/k + -232 + 3357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 4, 0.1, 4\/3, 1\/4, 16?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.031, -2532, -0.3.\nAnswer: -2532, -0.3, -0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*v = -177*v + 860*v - 35*v - 1918 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 38*h - 936 = -8*h. Let r = 18 - 29. Let k be (h\/33)\/(-3) + (-2)\/r. Solve k = -2*t - 2*d - d + 2, -3*d = 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12283693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7865 + 8069. Calculate the least common multiple of r and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -590ab - -3?\nAnswer: -590a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/17581, 2\/15, -5, -0.5, 3, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.4 - -55.2. Put b, 0.3, -9 in descending order.\nAnswer: 0.3, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*y**5*z - 44*y**4*z + 152*y**3*z - 2*y**2*z + 9*y**2 - 9*y - 186*z - 12 wrt y.\nAnswer: 2760*y**2*z - 1056*y*z + 912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/105245 and 47\/635810.\nAnswer: 61673570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/7, 0.134, 5?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/7170097 and 45\/22?\nAnswer: 14340194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380158359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/241 + -28691\/1446. What is the common denominator of v and -7\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*y - 81*y + 3*p - 165931, 99565 = 3*y + 5*p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*2 - sqrt(187)) + sqrt(187) + (-2*sqrt(187) - sqrt(187))*-4)\/((sqrt(121) + sqrt(121) + -3*sqrt(121)*-1 - sqrt(121))\/(2*sqrt(11)*1)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632278, 1264557, 1896836, 2529115, 3161394?\nAnswer: 3793673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 + -1 + (3 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/33)\/(16\/(-88))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 + 4)) + (-5 + -9 - -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 22 - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1149)\/272696)\/(21\/(-24))*42\/(-27)?\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 14) to base 9.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1720*j**6 + 1078*j**2 wrt j?\nAnswer: 206400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676.4907 millennia to decades.\nAnswer: 67649.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(180) + sqrt(180) + sqrt(5) + 1 + 2)**2.\nAnswer: 104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/130*10\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 1458*s\/5 + 1468.\nAnswer: -2*(s - 734)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 - 9*l**2\/2 + 38*l - 3446. Determine m(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23166 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**4\/2 - 15003*p**3\/2 + 400809*p**2 - 4969584*p + 17951808 = 0.\nAnswer: -5054, 8, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - (-6 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 452314 and -12.\nAnswer: -5427768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -462, -477, -498, -525, -558?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.63 greater than or equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1377895.4 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 14*w + 5. Let y be 4\/48 - 10647\/756. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 1, 0, 20, -4 in increasing order.\nAnswer: -4, 0, 1, 20, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 176*q - 1324. What is the remainder when 86 is divided by l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 1. Let p(w) = 6*w + 49. What is 4*b(y) + p(y)?\nAnswer: -2*y + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*w - 2*c - 27, -7*c - 110 = 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/15 - r**3\/3 + 2*r**2. Let x(b) be the first derivative of t(b). Let z(q) = q. Let l = 1 - 0. What is l*x(o) - 6*z(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-8) - 0)*-4. Suppose 2*z + r + 2*r + 4 = 0, 4*z - 6 = r. Put z, 2, k in ascending order.\nAnswer: k, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.9 + -52. Let c = 64.9 - l. Is 0.3 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -41*r + 1687. Give o(38).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 76, 114, 178, 274, 408, 586?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17467*g**3*m**3 + 31*g**3 - 16*g*m + 2*m**2 - 5*m wrt m.\nAnswer: -104802*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.012 - -29.012. Let z = 27.1 - f. Let p = z + 1.9. Which is the closest to p? (a) 2\/17 (b) -2\/5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1125*n + 1 + 2*n**3 - 564*n - 567*n - n**2 - n**2 to d*n + c*n**3 + a*n**2 + x and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-839 + 2081 + 1334 + 3576 + 1503)*(0*l + 4*l - 6*l) to o + m*l and give m.\nAnswer: -15310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m**(-3))**(2\/5)*m\/(m\/m**(-12)*m*m*m)*m**9 assuming m is positive.\nAnswer: m**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1.53, -0.59, -0.6, -0.22?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.8. Suppose 2*j = 5*z - 128, -2*z + 3*j + 60 = -0*z. Let y be (z\/8 - 7) + (-156)\/(-38). Which is the smallest value? (a) g (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 241, 639, 1359, 2509?\nAnswer: 4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = 25*a + 195. Let r(n) = -4*n. Determine r(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/8 + 50233*l**3\/2 - 1682470548*l**2 + 37588622210656*l - 1051162916269312.\nAnswer: -(l - 66968)**3*(l - 28)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Suppose -o*t + 3438481 = 2*x + x, -4*t = 5*x - 3438479. Suppose 5*k + 294621 - t = 0. What is k rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289? (a) 0.9 (b) 0.3 (c) 31.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7 and 64\/64377.\nAnswer: 450639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 7. Let o(g) be the second derivative of 18*g**2 + 0 - 5\/3*g**3 + 47*g. Determine -2*o(b) + 11*w(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1220 (base 15) to base 12\nAnswer: -2293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40986415 to the nearest 100000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 13*z**2 - 15*z - 16. Suppose 0 = -506*i + 502*i - 48. Calculate b(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*q + 896 + 8292 + 2674 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Suppose x - 3*f = 25, -1 - 5 = -2*x - 5*f. Let z(p) = 12*p**2 - p**2 + p**2 - x*p**2 - 57. Determine q(z(j)).\nAnswer: 2*j**4 + 228*j**2 + 6498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 - b - 2. Let h(g) = -g**2 + 10*g - 9. Let c be h(4). Let x be (-6)\/(18\/c) - -4. Let o be v(x). Solve 0 = 5*p + 3 + o, -3*f = 2*p + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 10. Let a be u(6). Let o be (3\/(-12))\/((-18)\/a). What is the closest to 1\/3 in 2, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:09 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203283.\nAnswer: 3, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2895 (b) 5 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 12410 = 10540. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = -0*x. Suppose -3*b = -4*q - 16, b + b - x = -4*q. Solve 0*y - b*y = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 11*t**2 - 7*t + 2. Let d be c(9). Let j = d - 76. Calculate the greatest common divisor of 275 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x - 2. Let j be s(5). Suppose 4*y + 172 = j*y. Suppose -2*q + y = 3. What is the remainder when q is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.6 - -204.6. Let t = r + -158.7. Which is smaller: 0.2 or t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/665262 and -109\/80.\nAnswer: 26610480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1163\/85 - 236\/17. Let k = -61 - -429\/7. Sort -2, k, i.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4568, -18170, -40812, -72494, -113216, -162978, -221780?\nAnswer: -289622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2462401 + -4?\nAnswer: 24623a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + d + 9 = 0, -d + 5799 = -3*f + 11611 - 5798 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38242157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, 2, 0.5, -1.4, 1\/3, -5 in increasing order.\nAnswer: -5, -1.4, 1\/3, 0.5, 8\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, 4, 1855, -4 in descending order.\nAnswer: 1855, 4, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 78*y**2 + 37*y + 82. Let i be z(34). Round i to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28578, -57076, -85572, -114066, -142558, -171048, -199536?\n\"Answer: i**2 - 28501*i - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxxs when four letters picked without replacement from sxxxs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f + 408. Let x be z(0). Let y be (-12)\/78 - x\/52. Is 3*313 - (4 + y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 20. Let b = -338 + 347. List the prime factors of (39\/k - 4)*b*77.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3207.229 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8150 less than -7548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19656?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 - -75. Let v = -68 - p. Let n = 1.9 - -0.1. Sort n, v, 0.1 in descending order.\nAnswer: n, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 502*q**3 - 168 + 93.\nAnswer: 502*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36 - 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7579 (base 12) in base 9?\nAnswer: 18633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.1 (b) 9 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 425143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 770*s + 105439. What is j(-137)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453069587 is divided by 151023191?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 15. Let u be 2 + i*-2*2. Let k = 26 - u. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236226\/7 + -243182\/7. Which is bigger: -993 or o?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.975 - -0.025. Let h = o + -34.00136. What is h rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*(v*v**(-2\/17)\/v)\/v)\/(v**(-3))**(1\/32) assuming v is positive.\nAnswer: v**(4883\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 4*w)*(21*w - 5*w - w + 2*w).\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/(-2) + (-15 - (6 - 15)). Find the second derivative of o*h**4 - 12 + 74*h**4 + 2*h + 53*h**4 - 69*h**4 wrt h.\nAnswer: 1404*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 40 = 8*f + 5*b, 3*b = -4*f - 30. Let g(r) = 2*r + 7. Give g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0376272 rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 4. Let h(c) = -2*c - 3. Let w(d) = -2*h(d) - 3*j(d). What is w(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.8 - -6.2. Let w = m + -58.00232. What is w rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b + 3*b)*(14707 - 369*b**2 + 13*b**2 + b + 9*b**2 - 14690).\nAnswer: -694*b**3 + 2*b**2 + 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 12*t + 3. Let k be m(6). Solve -2 = -k*b + o, -2*b - 2*o = -7 + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270c (base 14) to base 5\nAnswer: -204442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/205 - 2683\/1230. Let g be ((-2)\/(-3))\/((-1)\/(-21)). Calculate the common denominator of 6\/(-12) + (-37)\/g and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*y - 285*y = -586*y - 49 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 10*t - 50*t + 462 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 264 = 3*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.4 + -204.4. Let u = -119 - k. Let y = u + -47.00102. Round y to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-16))\/9 + 10\/(-24). Let v = -29528\/5 + 5906. What is the nearest to v in 0.3, 2\/5, n, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-2 - 8\/(-2)). Let m = s + 6. Suppose 2*i - i = m. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 15 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14600 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-105)\/6)*-10. Solve n - f*n + 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from {w: 1, s: 3, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-14 + (-11 - 14) - -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 5*z**2. What are the prime factors of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4 - 191*f + 2 + 4*f**2 - 3*f**2 + 193*f - 3*f**3. Let q be d(3). What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271117 is divided by 111?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 - 128. Suppose -3*z + 41 = -2*u, 3*u = g*z - 0*u - 45. Solve -4*a - 8 = v, -5*a = 3*v - z + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128042, 256115, 384188, 512261?\n\"Answer: 128073*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 at least as big as -120429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -2) + (-1 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:36 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15 and ((-12)\/15)\/2 + 178\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 + 2. Calculate the remainder when 9 is divided by v(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926411*b + 2*b**2 + 1926411*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j = -51*j - 135. Solve 3*w - 30 = 3*z, 0*w = -2*w + z + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2540 and 67\/572?\nAnswer: 363220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1374)\/360 + (-9)\/15 and -61\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1e?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1053)\/(-156) - ((-1)\/4)\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*q**2 + 69*q**2 + 179*q**2 - 317*q**2 + 2*q**3 - 4*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 61880 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**17\/q))\/(q\/q**(-6\/13)))**30 assuming q is positive.\nAnswer: q**(-6420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65.5 + 66.5. Sort -2\/19, 1\/5, -3, c in ascending order.\nAnswer: -3, -2\/19, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-25) + (-72)\/(-5). Suppose -2*h - p = 5*t, 5*h + t = h + 8. Solve 4 = -h*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - (-38)\/(-1))\/((14 + -10)\/(-100)) is divided by 92.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 + -6. Let t = 112044.9 + -112045. Suppose 24 = -4*r - 3*k - k, 5*r - 5*k - 20 = 0. What is the nearest to t in s, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from enneveeenneennvnccev.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 12*r**2 - 2*r + 11. Let l be y(6). Which is greater: l or -1\/395?\nAnswer: -1\/395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**3\/9 + 2*a**2\/3 + 304*a\/9 + 40\/3.\nAnswer: -2*(a - 6)*(a + 5)*(5*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 265351 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in 29, 122.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 11. Let a be 1 - 3*(-2)\/(-6). Let w be q(a). Let p = 19 + w. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -3*i + 30. Suppose 2*z = -2*m + 248, -4*z + 679 = 5*m + i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6877 + 2298 + 2278 - 2*c**3 + 2301.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1240558 and 0.331.\nAnswer: 0.4550558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - 5*r - 11, -3*r = i + 8. Let y = 68 + -40. Let l be y\/20 - (-4)\/(-10). Is l greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/63 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -w - q, -5*q = -4*w - 10 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2. Let r(c) = -92*c + 85*c + 0 + 0. What is f(r(a))?\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12857 + 12895. Let p(a) = 11*a**2 + 2. Let x be p(-2). Suppose -x = -2*z + 30. Calculate the greatest common factor of q and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwwnnnw. What is prob of sequence nnwn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * -103070\nAnswer: 40197.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1, 576, -3 in ascending order.\nAnswer: -3, 1, 57, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 699007 divided by 1?\nAnswer: 699007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 21*m - 72. Solve 4*t - k = -m, 2*k - 7*k - 2 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 160. Let r be (55\/33)\/(3\/t). Is r at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 + 2)*(-103*s - 71*s + 28*s) + 0*s + 6*s - 8*s)*(-2*s + s - s) to the form j*s + l*s**2 + c and give l.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**2 - 20 + 12*t + 42 + 3*t**3 - 23 - 2*t**3. Let z be x(8). What is the derivative of -138*j**3 + z*j**4 + 138*j**3 - 38 wrt j?\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21650418.9607 - -21651334. Let f = j + -915. Round f to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/130 - -63\/26. Let n be 4\/6 + 7396\/(-78). Let b = n - -5819\/52. Calculate the common denominator of b and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*u**2 + a**2*u*v + 22*a**2*v - 3*a*u**2 - 3*a*u - 398*u**2*v + 15*u**2 + 806*v wrt u.\nAnswer: -2*a**2 - 6*a - 796*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32*y**2. Let n(t) = 5397*t**2. Calculate o(n(p)).\nAnswer: -932083488*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4769 divided by 2\nAnswer: 4769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/27 (b) -0.1 (c) -0.8 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let j(w) be the third derivative of -7*w**4\/24 + 5*w**3\/6 + w**2. Suppose 0 = 5*z - 9 + 34. Determine z*a(v) + j(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28948*f**5 + 17666*f.\nAnswer: -578960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057426166 rounded to 7 decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -946b1?\nAnswer: 946ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15681 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) + 2*-3*sqrt(152) + sqrt(152)))\/((sqrt(200) - (sqrt(200) - 5*-1*sqrt(200))) + sqrt(200)).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = 2*b. Sort b, 2, 3, 4.\nAnswer: b, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/(11*12\/(-12012)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/192) + -1. Suppose 2*m - 3*p - 31 = 0, -p = 5*m - 2*m - h. Calculate the remainder when (-813)\/(-21) + 4\/14 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1cc - 224b97?\nAnswer: -225096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42.3 in 1\/7, -3\/8, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 0 + 0)*(2 + 2*r - 2)*(34468 - 71212 + 32845) in the form q + w*r**2 + i*r and give w.\nAnswer: 23394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.1399 rounded to 1 decimal place?\nAnswer: 79.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*4\/14 + (-37522)\/(-4599). Let k = -80\/9 + z. Put k, 0, 1\/2 in increasing order.\nAnswer: k, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m - 5. Let i = 8 - 32. Let l be 2\/8 + 6\/i. Determine v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615*t**3 - 45*t.\nAnswer: -3690*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from cvhcevfh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36142690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.975 - -21. Let i = 0.175 + r. Which is the third biggest value? (a) 1 (b) 2 (c) i (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161 and 539.17?\nAnswer: -86806.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17137700, 34275396, 51413092?\n\"Answer: 17137696*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 + 4*m + 1. Let k(p) = -5*p**2 + 3*p + 1. Calculate 4*b(a) - 5*k(a).\nAnswer: 5*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 19 - 22 + 14)*(-3*h + h + 0*h).\nAnswer: -4*h**2 + 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p + 56 + 14. Sort 1\/3, p, -42, -4.\nAnswer: -42, p, -4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 71, -2.\nAnswer: -2, 0, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -517690 + 762114. Let k = o - 64424. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/120*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**3 + 25*m**2 + 50*m - 20. Let q(c) = -c**3 + c + 1. Let j(r) = 20*q(r) + x(r). Suppose j(n) = 0. What is n?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-64) - (-31)\/(-56). What is the third smallest value in d, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/175 - 14181\/350. Calculate the common denominator of -3*6*(-27)\/24 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-5)*t)\/t)\/(t**3*t))\/(t*t*t\/((t\/((t\/((t**(-5)\/t)\/t))\/t))\/t)*t*t**5\/t*t) assuming t is positive.\nAnswer: t**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -9. Let v(d) = 3*d**3 + 3*d**2 - 3*d. Let q(n) = 5*n**3 + 5*n**2 - 5*n + 1. Let c(f) = o*v(f) - 4*q(f). Suppose -12*i - 19*i = 0. Determine c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -74\/7. What is the closest to 1\/3 in -0.1, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t + 4*t - 4*t. Let m(s) = -7*s - 5. Let h(r) = -70*r - 49. Let q(g) = 5*h(g) - 49*m(g). Determine q(u(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 2. Suppose 2518 = -3*s + 505. Let r = s + 670. Let m(p) = -1. Give r*t(y) - 2*m(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x - 2*x)*(3*x - 3*x - 2*x**3) - 2*x**4 - 3*x**4 + 2*x**4 + x**4 - 2*x**4 + 0*x**4 as g*x + d*x**3 + t*x**4 + y*x**2 + s and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4 + 30*w**3 + 138*w**2 + 130*w - 300 = 0. Calculate w.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -206, -2321, -8060, -19235, -37658, -65141, -103496?\n\"Answer: -302*y**3 - y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21977162 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0*c**3 + 41\/2*c**2 + 31*c + 0*c**4 - 1 + 11\/20*c**5. What is the first derivative of n(o) wrt o?\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636159590.\nAnswer: 2, 3, 5, 13, 1398427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19*n**3 + n**2 - 3. Let r be z(2). Let g = r + -151. Solve f = -0*f - g*i - 3, -f + 2*i = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70522c (base 14) in base 7?\nAnswer: 44056155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 12*o + 9*o)*(11 + 8 + 9) as w + n*o and give n.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:06 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28550 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:23 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 6*m**2 - m**2 - 1 + 3*m**3 + 4*m + 3*m. Calculate h(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 54*d**2 + 148*d**2 - 100 - 56*d**2 - 46*d**2 as u*d**2 + r + o*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97110.7 + 97111. Let m(j) = -2 + 2*j + j**2 + j**2 - 4*j. Let x be m(2). What is the nearest to x in -8, f, -6\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let r be (-3 + 6)*1 + 0. Let h(g) = -r*g + 5*g + 3*g - g. Give y(h(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*(0 - -25)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 7*j**4\/24 + j**3\/3 + 103*j**2. Determine v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -2, 0, 1 in increasing order.\nAnswer: -6, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4 - (1 + 1)) + (-2 - (-3 - 225)) and 1560?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*4 - -29. Suppose f = -3*a + 105. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 4*w + 2. Let x be t(-5). Let g be 0 - (-1)\/5 - 1. What is the closest to 0 in x, 2\/13, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 9*j - 75. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47242 - 234907\/5. Let u = m - 261. Is 3\/19 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1539))**2 + ((1 + sqrt(1539))*-6)**2.\nAnswer: 648*sqrt(19) + 56979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 - -24340?\nAnswer: 24415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 1. Suppose -2*k + k = z. Let m = k + 31. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.103 (c) 9 (d) -0.363 (e) -5 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247528075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81460 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1886, -2\/1499, -0.2?\nAnswer: -1886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 255*z + 9*z**2 - 8*z**2 + 247*z - 504*z. Let b(t) = -3*t**2 + 9*t. What is 2*b(q) + 9*m(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -66500 rounded to the nearest 1000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1399*m**4 - m**3 + 5515*m**2 wrt m.\nAnswer: -33576*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*v + 78, -3*v - 58 = -6*v - x. Let b = -415 - -197. Let j = 218.3 + b. Sort v, j, -1\/5.\nAnswer: -1\/5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 77. Let o = v - 17. Suppose -4*i + o = -7. Solve k + 4 = -3*s, i*s - 5*k + 1 = -33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.5. Let o = -0.3 + d. Let z = -19.9 + 20. What is the nearest to z in 0.4, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1108944 and 38952?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -35*k**3 + 3*k**2 - 24*k. Let h(w) = 35*w**3 - 3*w**2 + 20*w. What is -6*h(i) - 5*t(i)?\nAnswer: -35*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1242 + -5?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 2*x + 1. Let u be z(3). Let p = -5 - u. Suppose c = -2*m - c + p, -m - 4*c = -18. What is the remainder when m is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/21 + ((-81)\/189 - 5)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 162, -27, -5, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-34)\/(307632\/145)*(-4)\/10)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.6. Let u = 35 - 68. Let b = u + 42. What is the third biggest value in -2, s, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 + 5*s**2 - 19*s + 15. Let y(v) = -12*v**3 + 12*v**2 - 41*v + 32. What is -13*w(u) + 6*y(u)?\nAnswer: 6*u**3 + 7*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1108, -2237, -3366?\nAnswer: -4495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = w - 7 - 1, -f = -5*w + 7. Suppose 2*s - g = 333, -s + 3*g + 495 = w*s. What is the highest common factor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/14)\/(2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-895)\/(-20) - 5\/(-20) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 2*k, 10*z + k - 4 = 7*z. Solve 100*q**4 + z*q**5 + 232*q**3 - 2*q**5 + 2 + 14 + 112*q + 16*q**5 + 244*q**2 = 0 for q.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**2. Suppose 4*y + 5*d = 39, 3*d - 40 = -5*y - 1. Let b(g) = 494*g**2 - 6*g - 499*g**2 + y*g. Calculate b(v(k)).\nAnswer: -1125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/7 + 22*p**2\/7 + 436*p\/7 - 136.\nAnswer: -(p - 34)*(p - 2)*(p + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millisecond in microseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -f - 0*n + 31, 3*f + 2*n = 91. What is the greatest common factor of f and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let r = 3 + d. Suppose -m - r*m + 21 = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*n = -464*n + 1316 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 465700 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**8\/56 + 41*h**7\/105 + 31*h**6\/30 - 13*h**5\/15 - 59*h**4\/12 - 5*h**3 + 62*h**2 + 9*h. Solve v(m) = 0.\nAnswer: -1, -1\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 = -2*n. Let c(s) = s**2 - 8*s + 8. Let f be c(n). Does 8 divide 0\/f + 16 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 39*f**2 - f - 27. Calculate x(-39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -25*x**2 + 20090*x + 8040 = 0.\nAnswer: -2\/5, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 56*j - 739. Give m(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 9:48 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 16. Let d be v(0). Let m(h) = 116*h - 4288. Let a be m(37). Solve 3*o - 5*o = -8, -4*o + d = -a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 10*w - 7819. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:24 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minus -109561968783?\nAnswer: 109561968832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877112 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 6*w**3 + 8*w**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92503026 and 189?\nAnswer: 92503026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -7*w**3\/5 - 13414*w**2\/5 - 1285636*w - 1835528\/5 = 0.\nAnswer: -958, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Suppose -5*b - 2*x + 30 = 2*x, 0 = b + 3*x - 17. Solve -b*u + 4*u + r = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18706957 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353 divided by -924?\nAnswer: -479\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/8662425 and -28\/5.\nAnswer: 8662425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose l*k = 5*k - 3. Suppose k*n = 20 + 82. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*j - 8, 0 = -30*j + 28*j + 2*r. Factor 1\/4*h**j + 0 + 0*h - 3\/4*h**4 + 1\/2*h**3.\nAnswer: -h**2*(h - 1)*(3*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 24*t**2 - t + 32. Calculate j(-6).\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21951 by 10239.\nAnswer: 7317\/3413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 3*p + 4*p**3 + 7*p**2 - 6*p**3. Let o(k) = -6*k**3 + 17*k**2 - 9*k. Let h(w) = -6*o(w) + 17*v(w). Find the second derivative of h(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 3*s - 3. Let c be h(-2). What is the nearest to c in -2\/5, -4, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5731?\nAnswer: 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20515\/29 or 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0*g**2 - 1\/60*g**5 - 2*g + 1\/12*g**4 - 1\/9*g**3 + 0. Solve z(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 63 = -3*r, 35*r + 5*i = 39*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4120 divide 63701613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 (base 13) in base 4?\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g + 4*i, -3*i + 2*i - 1 = g. Let c be g\/(-4)*((-25)\/15)\/5. Let q = -2\/63 + -40\/63. Sort 2\/9, q, c in descending order.\nAnswer: 2\/9, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.4 - 40.4. Is n > 242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 7*m - 4. Let v be b(6). Let s(o) = -o + 8. Let p be s(5). Solve v*w - p = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w - 3*g = -11823, 2*g = -3*w + 8868. Let r = 5291 - w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 166 in increasing order.\nAnswer: -17, 2, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(150))\/sqrt(6) - sqrt(25))\/((sqrt(5) - sqrt(45)*-1) + sqrt(5)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/6*12\/(-8). Let o = 4 + 1. Suppose -d*t + 375 = -o*m, 4*m = t - m - 55. Calculate the greatest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 40 = -9*k. Let z be 30\/7 + k\/28. Suppose -15*i**3 - 2*i**4 - 10*i + 17*i**3 + 6*i**2 + 0*i + z = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4388*k**2 - 2363*k**2 + k + 805 - 3*k - 64 + 587*k**2 wrt k.\nAnswer: -12328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhhhkh. Give prob of picking 2 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 13*o + 468. Let g be u(29). Solve 4*y = -l + 16, -g*y = -3*l - 22 + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let n(g) = -816*g + 9. Let i(r) = -408*r + 4. Let u(y) = 9*i(y) - 4*n(y). Determine h(u(w)).\nAnswer: -408*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p**3 + 2*p**2 - 2*p - 2. Let f(c) = 1386*c**3 + 147*c**2 - 147*c - 147. Determine -2*f(o) + 147*t(o).\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3873*a - 3866*a = 2*l - 39, -4*l - 2 = 2*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6*(-36)\/(-2816)*6 and -29\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 3)*(1 - 4 - 5)*(-4*t**2 - 10*t + 10*t + t**4) in the form x*t**2 + l*t**3 + k + i*t**4 + v*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**3 - 1\/60*l**5 - l**2 - 1\/3*l**4 + 0 + 0*l. Calculate h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**2 + 0*g**6 - 8*g**6 - 20*g**2 wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107666 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(49*k - 42*k + 105*k)*(-2 + k + 2).\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 + 8073. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 307.06 - 43.06. What is the nearest to 2\/15 in -5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 270, 396, 614, 954, 1446?\nAnswer: 2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (1 + (0 - -24) - (-2 - -9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*m. Suppose -m*w + 5*w = 6. What is the third derivative of -t**3 + t**2 + t + w*t**3 - t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*u**3 + 24*u**3 - 44*u**3 + 89*u**3.\nAnswer: 162*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 6*s. Solve 18 = -4*x + s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37881 + 795505\/21. Factor 0*l**2 + 2\/21 - p*l + 4\/21*l**3 - 2\/21*l**4.\nAnswer: -2*(l - 1)**3*(l + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w + 72. Let f(i) = -i - 12. Let u be f(-5). Let k be (-115)\/(-35) + 2\/u. What is the highest common factor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 109 (b) -1 (c) -11648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -543, -288 in decreasing order.\nAnswer: 5, -288, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15846158 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16458635*j**3 + 16458587*j**3 - 32917202*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*o**2 - 2810*n*o - 3244*n + 156242365*o**2 wrt n.\nAnswer: 2*o**2 - 2810*o - 3244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, w: 1, j: 3, g: 2}. What is prob of sequence xwx?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 32*j + 14. Calculate the lowest common multiple of u(4) and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -63050*i + 63047*i + 124. Suppose -2*y + 17 = 3. Calculate the remainder when i is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -19*o**3 - 12*o**2 + 11*o + 7. Let k(l) = -l**3 - l**2 + l + 1. Calculate -6*k(m) + s(m).\nAnswer: -13*m**3 - 6*m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 13. Let c be (-2 + -2)\/(o\/12). What is the third derivative of k**2 + 16*k - c*k + 3*k**4 wrt k?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2225062.2 months?\nAnswer: 1854.2185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-3 - (-5)\/2). Suppose -h = -c - 2*o - o, 2*c - 4 = -2*o. Solve -3*m + y = -1, -2*y + c*y = -2*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-14)*70434\/29068.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (138\/(-17) + 1 + 7)*(-51)\/3. Suppose 8\/5*m**3 + 4\/5*m**5 + 0*m + i*m**4 + 0 + 2\/5*m**2 = 0. Calculate m.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6))\/(1\/120). Let h = z - -10. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16165897 is divided by 435.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = 4*s - 2*s, -2*s - 4*r - 6 = 0. Let j = 2 - 2. Let v be j\/(3 - 2)*1. Solve -s*c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/330 - t**4\/44 - 4*t**3\/33 - 15*t**2 - 2*t. Let b(j) be the first derivative of a(j). Factor b(h).\nAnswer: 2*(h - 4)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.4, -11201, -3\/4, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61.9 - -62.9. Sort c, -8, 3\/8.\nAnswer: -8, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 6*d**3\/5 - 36*d**2\/5 + 16*d.\nAnswer: 2*d*(d - 5)*(d - 2)*(d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6278457, 12556914, 18835371?\nAnswer: 25113828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkagpklm. What is prob of sequence ap?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 3652403*w + 1460962.\nAnswer: -(w - 730481)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2\/9 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17955 = 5*j, -24*v = -3*j - 23*v + 10753. Is j at most 3586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15 + 5 + 7 + 8 + 12*r. Let u(z) = 9*z + 5. Let f(i) = 5*b(i) - 6*u(i). Give f(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4693 and 74347.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61588107571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101100111001 - -110000?\nAnswer: 110101101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7846b8 (base 12) to base 4\nAnswer: -13103223230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2.9, 177, -11?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -22. Let m = x - 5. Solve -3*r - 5 - 13 = -3*g, 0 = -5*r - m*g - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 + 7*f. Let d be q(6). Suppose 0 = -v + 30 - d. What is the highest common divisor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52624574?\nAnswer: 2, 26312287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10580600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 16. Let i be x(11). Let g be 2\/2 + (81 - -2). Let l = g - i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 12 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 2, r: 3, e: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 17. Let m be k\/8*-4*-2. Let h(l) = -5*l - 2. Let j be h(m). Solve -3*x + 1 = -j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/2 - 2*s**2 - s. Let k be m(-3). Find the second derivative of 3*r**k + 2*r + 0*r - 18*r**3 + 18*r**3 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:22 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*h - 10. Suppose 0 = -w + 5 + h. Let i = w + -8. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -20. Suppose u - 270 = -5*g + g, 0 = -5*g - n*u + 345. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 2, a: 1, s: 1, k: 1, i: 1}. Give prob of picking 1 s, 1 e, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2422 (b) -3 (c) -1\/2 (d) -5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:24 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 16. Let q = d - -26. Let j = q - 5. Solve -j*n + 8 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/3 - n**2 - n - 41. Give g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 11. Let g be z(4). Solve -2*m = -m - c - 2, -g*m + 2*c + 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let c(h) = h**p + h - h. Let s(i) = -49*i**2 + 4*i - 2. Let v(a) = 2083*a**2 - 170*a + 85. Let f(n) = 85*s(n) + 2*v(n). What is f(c(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 7 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4737878 divided by -82\nAnswer: -57779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -330, -329, -328, -327?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1791652 and -48\/26426867.\nAnswer: 105707468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 15*a**2 + a + 39. Let v be s(-15). Suppose -v*u = -1216 - 4064. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from uumttht?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 5106?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116 in -3, -762, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -45. What is the highest common factor of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 4*o + 744, 3*i - 563 = 4*o. What are the prime factors of i\/(-5)*(-2 + -1 + -2)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g - 243 = 0. Let j(q) = q**2 - q - 2. Let c be j(3). Let d(k) = 11*k - 22. What is the remainder when g is divided by d(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**2 + 3*z + 264. Let k = -4 - -18. What is the remainder when f(0) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, -0.12, -148, -0.11, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30*((-6669)\/(-19))\/(-39)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12*h + 2. Let g(w) = -w. Let a(m) = m**3 - 6*m**2 - 30*m - 108. Let y be a(10). Calculate y*g(t) - r(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1005 - -1000. Let r(l) = l**2 - 4*l + 1. Let s be r(4). Let h be 2\/(-6) - 2\/(-6). Put s, -4, w, h in decreasing order.\nAnswer: s, h, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 5. Let w be n(-4). Suppose 5*j - w = -24. Is 0 + 5 + (-3)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6843307 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 1. Let v be l(-1). Suppose 15 = -v*j, 3*j = -5*r - 2*j - 10. Let t be (0 - (-10)\/(-2))\/(-1). Solve t + 1 = r*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**1)\/d)**(-19)*(d*d**(-1\/7)\/d)**(-47))**(-2\/11) assuming d is positive.\nAnswer: d**(-360\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199 and 34514759.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/105 - 11*r**5\/30 - 3*r**4\/2 - 8*r**3\/3 + 87*r**2 + 2*r. Suppose p(n) = 0. Calculate n.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13766 or -637?\nAnswer: 13766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -202163.814 rounded to the nearest 100?\nAnswer: -202200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 531*d**7\/70 - 941*d**4\/12 + 262*d**2 + 5*d. Find the second derivative of v(b) wrt b.\nAnswer: 19116*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 36*x + 42. Let n be u(-17). Let f(d) = -d**2 + 8*d - 11. Determine f(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 525 + -15863\/30. Let n = 353\/57 + -10\/19. What is the common denominator of h and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (0 - 1)*4. Let n = 15 + w. Let p(m) = -3 - 3 - n*m - 3 + 15*m. Determine p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3. Suppose -266 - 112 = k*q. Let n be (0 + -2)\/(4\/q). Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2448) + -4*(1 + sqrt(2448)) + (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-2 + sqrt(2448))))**2 + 2)*-5 + 1).\nAnswer: -360*sqrt(17) + 24458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39493 (base 16) in base 6?\nAnswer: 5010151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 29*f - 179*f**3 + 2 - 29*f - 248*f**3.\nAnswer: -427*f**3 + 9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 7 - (-20780 - 3). Let t = -10348 + r. What is t rounded to the nearest one hundred?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/5))\/(v*(v*v**0*v)\/v))**(-27)\/((v\/v**(-1\/3))**(2\/109))**(3\/25) assuming v is positive.\nAnswer: v**(58852\/2725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - f**2 - 2*f**2 + 2 + 2*f**3 - f**2. Let n(k) = k**3 - 7*k**2 + 2. Let x be n(7). What is the units digit of z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s - 2*z + 43, 2*s - 32 = -4*z. What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 3. What is the remainder when 2 + -1 + (2 - -34) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 14*o**2 - 11*o - 7. Is g(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:44 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368497458 divided by -2?\nAnswer: -684248729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6039 - -6035. Which is the nearest to -16? (a) -5\/3 (b) -3\/20 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3))**(-3\/4) assuming k is positive.\nAnswer: k**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/394 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/24 + 7*i**3\/6 - i**2. Let n be x(-5). Differentiate -2*o**n + 0*o**2 + o**2 - 2 with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-3))\/(0 + -2). Let g = v + -1. Let x be 3\/(-4 + 77\/14). Solve -3*a + 2 = -2*k, x*a = g*a + k - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*h + 6 = 0. Let b = 12 - 7. Solve -b*o - 22 = -h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 3*q**2 + 3*q + 1. Let z(n) = -3*n**3 + 3*n**2 + 3*n + 2. Let c = 11 - 7. Let p(f) = c*z(f) - 5*a(f). Factor p(k).\nAnswer: 3*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6259 - 61?\nAnswer: 61f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.462 (b) 10 (c) -0.2 (d) -2\/5 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3841000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b - 2*o - 12, 3 = -3*o. Determine i so that 5*i**4 + 6*i**2 - 3*i**2 + 25*i - 8*i**b - 25*i**3 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 19, 24, 15, -14, -69, -156?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -l, -3*l = -j + 1 - 2. Let u be (l\/4)\/(1\/40). Solve 3*h - 3*g + 22 = -2*h, -u = 3*h + 5*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-100))\/(1\/(-5)). Find x, given that z + 3\/5*x**2 - 6\/5*x = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/7479729 or -1?\nAnswer: -8\/7479729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -764, -1106, -1422, -1712, -1976?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.77 + -13.1. Let q = l - -0.13. Let s = -1.7905 + q. Round s to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + (3 - -5) + -2 + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltluuutllllutltll. Give prob of sequence luu.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(22\/14)*(-92)\/(-28)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1243 - 1242.2. Which is the second biggest value? (a) 0 (b) -14 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.614 + -0.3\nAnswer: 17.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - 16.4. Let l = u - -20. Let g = -211 - -4007\/19. What is the nearest to l in 5, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 675665780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from ogooototofgo.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8243, -8247, -8251, -8255?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*h**2 - 2 + 2 - 2 + 104*h**2 - 18*h**5 wrt h.\nAnswer: -1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 2*j**4 + 3*j**3 - j - 2*j**3 - 45*j**4 in the form m + p*j**4 + w*j**2 + r*j + n*j**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -5*t - 2*h, -14*t - 363*h + 364*h = 129 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(684) + -1))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 b when three letters picked without replacement from xxbbbbxbbxxbbb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 4, n: 2, f: 1}. Give prob of picking 1 v, 1 f, 1 a, and 1 n.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 10. Let q(x) = -x**2 + 7*x + 10. Calculate the lowest common multiple of r and q(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - (-41 - -46) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -51, -82, -115, -150, -187?\n\"Answer: -h**2 - 26*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.1 in 1\/2, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -151. Let c = 18 + v. Suppose c - 83 = -2*a. Sort 3, a, 4, -4 in descending order.\nAnswer: 4, 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 - 29. Let g = s + -80.7. Which is the third smallest value? (a) -1 (b) -3 (c) g (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(95)*-2 + (sqrt(95) - ((sqrt(95) - (sqrt(95)*1*-1 + sqrt(95))) + sqrt(95))) + sqrt(95))\/(-4*(sqrt(120)\/sqrt(4))\/sqrt(6)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**6\/480 - v**5\/160 + v**3\/3 - 7. Let x(n) be the third derivative of f(n). Factor x(o).\nAnswer: -3*o*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -11*j**2 - 257. Is 10 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2816610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/17 (c) -16 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-1)\/(-2) + 74\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0919569 centuries?\nAnswer: 0.00919569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9654, 9654, 9630, 9582?\n\"Answer: -12*h**2 + 36*h + 9630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 + b - 2*b**2 - b**2)*(b - b - b**2 + (-3*b**2 - b**2 + 6*b**2)*(3 - 3 - 2)).\nAnswer: -15*b**4 - 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(336\/(-210))\/(1\/(-15))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h = 5*r + 575, 0 = 3*h + r - 605. Let n(v) = -v + v + v - h. Let b be n(0). Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*r - c = -542*r - 6, -4*r + 4*c - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325703071?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-48) - 33\/66*(-6)\/(-8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*j + 8 = -30, -4*j = 4. Solve -13 = l - 15, -b*p + 4 = 2*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/3)\/v)\/((v*v\/((v\/(v\/((v\/v**(-2\/13))\/v)))\/v*v))\/v))**35*(v**0)**(-3)\/(v*v*v**(-2\/3))**(2\/29) assuming v is positive.\nAnswer: v**(-41988\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 547 = -358. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 57132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e80 + -3d1?\nAnswer: aaf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 157 - 117 - 378 = 496 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12022 = -3*c - 14*r + 9*r, 4014 = c - 5*r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 35 = 2*b. Let g(m) be the first derivative of 0*m**4 - 2\/3*m**b + m**3 + 0*m - 2 + 0*m**2 + 0*m**5. What is the third derivative of g(f) wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*t + 84*t - 1732*t**4 - 93*t**2 - 31*t - 9*t**2 - 5 wrt t?\nAnswer: -41568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3272, 6474, 9678, 12884, 16092, 19302?\n\"Answer: i**2 + 3199*i + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 y when four letters picked without replacement from yyhyyyyhyyyyyhyhyyh?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 2*m - 3*m, 2*m = -5*k + 10. Suppose -k*o + 30 = -4*d - 36, -3*d + 3*o = 45. Let b = d - -37. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011830642212 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12610?\nAnswer: 2, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599 - -366. Suppose 0 = -3*j - 2*c + 581, 5*j - t = -9*c + 4*c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+213026\nAnswer: 213018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893364 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116407?\nAnswer: 59, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 120\/4680*-36*52\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 17*a - 19. Give b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.04 + -2.6. Let z = s + 0.16. Which is the nearest to -1\/4? (a) -2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 621.2576l to millilitres.\nAnswer: 621257.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from gskcgkh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 82 in descending order.\nAnswer: 82, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 600525 * -0.2\nAnswer: -120105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-6664))\/((-139)\/11676).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153231337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4678, 4699, 4728, 4765, 4810?\nAnswer: 4863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1553170, -3106425, -4659680, -6212935?\nAnswer: -7766190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10692?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 5*n + 3. Let u be q(-5). Suppose -568 = -s - u*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iffi when four letters picked without replacement from {f: 12, i: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000443 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 21*w - 12 = -4*s, 0 = -17*w - 5*s - 43 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319516537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-3))\/((-6)\/(-9)). Let n be (-2 - 1)\/(i\/15). Which is bigger: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o - 2*j + 26, 0 = -3*o - 5*j + 23. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(3 - 38\/10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t. Let w(k) = -25*k. Let o(f) = -5*i(f) - 3*w(f). Let j(u) = 2*u. What is j(o(s))?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(14)\/(sqrt(2) + (sqrt(2) - sqrt(8)) + sqrt(2)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 216297\/14 + -15443. Find the common denominator of l and -11\/1874.\nAnswer: 13118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.8. Let s = b + -0.3. What is s rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*y - 130*y + 184*y - 88*y + (-2*y - 1 + 1)*(2 + 0 - 4) as p + t*y and give t.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 + 227 = -130*c - 404 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 4}. What is prob of picking 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.2, 0.02, -1, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 582143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 - -3) + (-30660)\/28. Let l be 1\/(0 + (-2)\/5710). Let b = n - l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*4*sqrt(95) + sqrt(95) + 2*(sqrt(95) - sqrt(95)*2) + sqrt(95))\/((sqrt(180)*2 - sqrt(140)\/sqrt(7))*1))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6. Let h = 12 + y. Let o(f) = -f**3 + 11*f**2 + 2. Let s be o(h). Solve 0 = -3*t + s*t - 5*g + 9, -g + 4 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + c8?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*b = -3, b = 3*v + 2*b - 39. Let q(p) = p**2 - 11*p - 4. Let w be q(v). Let a(l) = 3*l**2 + w*l**2 - 13*l**2. Let g(u) = u. What is a(g(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 6. Suppose -5*u + 10 = 0, -y + 1 = -2*u - 1. Let k(r) = 4*r**3 - 9*r**2 - 3*r**3 + 3*r**2. Let g be k(y). Calculate z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 1687 - 9673. List the prime factors of c.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383812 is divided by 6986?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.61 + -0.01. Let l = -0.2 + s. Let k = l + -1.4. What is the nearest to k in 0, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/8130632 and 47\/2032658.\nAnswer: 8130632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (6 - 4)*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406*h + 4 - 1837*h + 2146*h + 2466*h.\nAnswer: 4181*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a**(-1\/3))\/((a**(-1)\/a)\/(a**(-4\/7)\/a))*((a**1*a)\/((a*a*a**8)\/a))\/((a**(2\/3)\/a)\/a*a**7) assuming a is positive.\nAnswer: a**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1208860*l**3*y**4 - 4773*l**3 + 736*l**2 wrt y.\nAnswer: -4835440*l**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/6563?\nAnswer: -8\/6563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9967557 years to millennia.\nAnswer: 0.0009967557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = -3*i. Solve -4*k + 1 = -i*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00332 times -8122\nAnswer: 26.96504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 311, 286, 251, 206, 151, 86?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(2\/(-9)). Suppose j - v*u = 65 + 24, 3*u - 6 = 0. Is j 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 175199 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 995638.9 years?\nAnswer: 995.6389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 2*z + 1. Let x be u(-2). Let v(q) = -6*q - 4. Is 14 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 18*g**2 - 19*g - 11. Let j be k(-17). Let y = 967 + -323. Suppose -a - y = -5*a. Calculate the greatest common divisor of j and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 38*c + 11. Is h(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54564943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26229644.\nAnswer: 2, 7, 936773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110011010001 (base 2) in base 8?\nAnswer: 156321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 7*j + 4. Let c(r) = r**2. Let n(z) = 3*c(z) - k(z). Let a = 2 + -2. Suppose 2 = -l, a = 2*x + 5*l + 16 + 4. Give n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 98*q + 602. Let k(w) = 604*w + 3614. Let i(d) = 19*h(d) - 3*k(d). What is i(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*v + 82, 4*v + 3*a + 28 = 218. Let g = 95 - v. Let h = g - 27. What is the highest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (252\/35)\/9 - 35902\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 11. Let b = i + -2. Solve -5*v + b = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 + 620 + 2*d**2 - 2*d**2 + 328 + 0*d**2 in the form g*d**2 + c + s*d and give c.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22\/45 - 8\/9. Suppose -3*k + 5*b - 1310 = 0, 2*k - 9*b = -6*b - 875. Let h = -445 - k. Sort -1, g, 3, h in descending order.\nAnswer: 3, h, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191284663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.01, 0.14, -2\/9, -0.3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304053?\nAnswer: 3, 43, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -0*i. Solve 5*x = -5, 7 = 2*f - i*x - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -2, 1, -4, -127\/23?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6886 - 806 = 0. Calculate the lowest common multiple of 144 and q.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 37\/2, 4\/5, -3 in decreasing order.\nAnswer: 37\/2, 4\/5, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u + 3*u + u. Let v(j) = -5*j + 7*j + j. Determine v(y(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 664796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 135. Factor -27*l - l**3 + l**5 + 27*l + 9*l**2 - l**m - 8*l**2.\nAnswer: l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 4, -0.5, 856, 7, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275087*l + 275087*l - 10*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.38213nm in kilometers?\nAnswer: 0.00000000007338213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*d - 212*d**2 - 1 + 213*d**2.\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/130 - 37\/(-13). Let r(x) = -2*x**3 + 3*x**2 + 3*x + 3. Let k(y) = y**2 + y + 1. Calculate o*k(s) - r(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 69.65?\nAnswer: 69.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2643787\/4438 + 4170\/7. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 31*y**2 + y - 29. Let t be q(31). Put 3, t, -54 in descending order.\nAnswer: 3, t, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, 827\/4384 in decreasing order.\nAnswer: 0.4, 827\/4384, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.41995 years to centuries.\nAnswer: 0.3541995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -34*2\/4*-1. Let k(d) = d**2 - 50*d - 389. Let p be k(57). Solve -5*i = 4*z + p, 3*z + 0*i = i - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/3 + 7*d**4\/12 - 41*d**2. What is the second derivative of y(u) wrt u?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + 2*t**4 + t**4 + (4*t**2 - t**2 + 2*t**2)*(-3*t**2 - 2*t**2 + 3*t**2).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -420 - 106. Let m = t - -1210. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1617, 1385, 1199, 1071, 1013?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -2835?\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/(-15) - 2)\/((-2)\/12). List the prime factors of 8\/p*(-10 + -148).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752840 and 3770?\nAnswer: 9786920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {c: 6, n: 3, w: 2, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*p + 12 = -140, 4*p = 8. Let t be (-3)\/(-4) + 1179\/v. Let q = 26 + t. Which is bigger: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19103, -22550, -25997?\n\"Answer: -3447*s - 15656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + n - 466, 5*x + 2*n = 10*x + 467. Let f = 93 + x. Solve 4*o + f*o - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*h**2 - 77 + 77 + (2*h + 1 - 1)*((-1 - h + 1)*(-3 + 0 + 2) - 2*h - 3 + 3).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 m when three letters picked without replacement from mapamaaq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6 = n, 3*n - 5*t + 1759 - 1781 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmdm when four letters picked without replacement from {m: 2, d: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -622247, 0, -14 in ascending order.\nAnswer: -622247, -14, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10396 + 176738\/17. Factor s*r**2 + 4\/17 + 2\/17*r**3 - 10\/17*r - 2\/17*r**4.\nAnswer: -2*(r - 1)**3*(r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f - 46. Determine h(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071145256 to 6 dps.\nAnswer: -0.007115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 23, 40, 57, 74?\n\"Answer: 17*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*m + 124, -9*m + 2*i + 3192 = 3286 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -31 (b) -5 (c) -0.7 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 23*o**4\/6 - 23*o**3\/3 - o**2 - 56*o. Find the second derivative of c(z) wrt z.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3309749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 + 92 = -u - 5*g, -2*u + 3*g + 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*f - 20, 5*f + 16 = -s + f. Suppose 7*z - 9*z + 16 = s. What is the highest common divisor of 88 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1194*u. Let c(q) = 12*q + 2. What is c(x(n))?\nAnswer: -14328*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -11)*(-3)\/30. Which is the closest to -0.1? (a) q (b) -4 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443238 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 3*b = 0. Suppose -3*i + i + 4 = b, 0 = -q + i + 5. Suppose -348 = -q*o + 149. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 4)*(-15)\/(-6). Suppose 6 = -2*w + 5*w. Solve -l*a + 6 = -d, -d + a + w*a = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 8. Let w be (-2)\/(-8) + 68\/(-16) + -4. Let b(h) = h**2 + 3. Determine w*b(k) + 3*y(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*7\/(-24)*-6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m + 3*m**3 - 2 - 4*m**3 - 15*m**2 + 13*m**2 as o + f*m**3 + r*m**2 + j*m and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11166600 and 1258?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 9 = -1921*a + 1925*a, 0 = -5*a - 5*q + 30 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02658 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4)\/(a\/(a*a\/((a*a\/(((a**(1\/3)*a)\/a*a)\/a))\/a*a*a)*a))*a\/(a\/a**0)*a**(-2\/3)*a*((a\/a**(-5\/2)*a*a)\/a*a**(-7))**21 assuming a is positive.\nAnswer: a**(-335\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-654)\/(-33) + (-2)\/(-11). Suppose -2*p = -3*p + 4*r + 80, 3*r = 2*p - 135. Calculate the greatest common factor of p and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5.1. Let y = -1 - n. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.43 + -12.73. What is the third biggest value in 0, r, -1.16?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let g be 6\/24 - 11\/j. Suppose -2*r = 5*u - 171, 32 = 2*u - 5*r - 19. What is the highest common divisor of g and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3 = -3*b - 0, 5*l = 2*b + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297003985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(-4 + 0 - 4)*(-5 + 1 + 5)*(28*w**3 - 37*w**3 - 43*w**3).\nAnswer: 832*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 + 13?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738126055?\nAnswer: 5, 83, 277, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 20. Suppose 0*j + s = -j. What are the prime factors of 4\/((-4)\/j) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - x + 7. Let k(o) = 3*o**3 + 2*o**2 - o - 1. Let m be k(-2). Let p = -12 - m. Is w(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 + (-3)\/(-2)). Suppose 0 = l - r*l + 4*w + 6, -4*w - 10 = -3*l. Suppose 0*t - 5*n = l*t - 5, 0 = -5*t - 4*n + 4. Solve u + t = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.4 (c) 9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215023 is divided by 107509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 10 - 10 - 698*w as k + t*w and give t.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b + 1. Suppose 88 = 3*g - 8*g - f, -4*g = 3*f + 66. Let q = 15 + g. Let m(n) = -n**2 - 1. Suppose 4 = z - 3*z. Calculate q*m(p) + z*r(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 116143, 232288, 348433, 464578, 580723?\n\"Answer: 116145*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249287 to the power of 1\/2, to the nearest integer?\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**6\/60 + a**3\/6 - a**2 - 3. Let q(l) be the second derivative of w(l). What is the derivative of q(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 2*s - 3. Let l be 9\/(-4)*16\/6. Let q = l + 4. Determine n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.71 - 17.2. Which is the fourth biggest value? (a) 4 (b) -3\/7 (c) q (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzlzlmzmmzlmllmmlzz. What is prob of picking 3 l?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-34)\/272).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951 = 16*x + 71. What is the highest common factor of x and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4310094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2533, -2483, -2373, -2185, -1901?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/(-18))\/(-1))\/(2 - 4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.057, 0.206 in decreasing order.\nAnswer: 0.206, 0.057, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, f: 2, l: 2, y: 4}. Give prob of sequence qqy.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.019 (c) -1\/3 (d) -0.8 (e) -1\/4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3966114301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 10*n**2 - n + 5. Let g(a) = 2*a**2 - a - 2. Let u be g(2). Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(95) + sqrt(95)*3 + sqrt(95))*-5)\/(-3*sqrt(245)*1).\nAnswer: 75*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 + 370 + (-1 - -1)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69941269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*c + 3)*(-2 + 4 - 1)*(-12*c - 27*c + 8*c + 2) - 173 - 14*c**2 + 173.\nAnswer: -76*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c + 4*z = -43*c - 31*c + 2*z - 0 - 8, 8 = -2*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 19*l**2 - 67*l - 26. Calculate i(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1666*o + 2305*o - 2 - 118*o - 676*o.\nAnswer: 3177*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21299?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - f + 1, 3*i - 4 = -4*f. Suppose 0 = -l - 0*l - 5*b - 10, -l + 5*b - 40 = i. Let u be 12\/(-15)*l\/(-2). Is -1\/4 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.36 and -2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070313.\nAnswer: 3, 43, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbuubbbuuzwd. What is prob of picking 2 u and 1 b?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2384, -9577, -21556, -38321, -59872, -86209, -117332?\n\"Answer: -2393*o**2 - 14*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13257 and 2007.\nAnswer: 2956311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/5))\/(m**(1\/4)\/m))\/((m*m**(1\/2)*m)\/(m*m**(-4\/3))) assuming m is positive.\nAnswer: m**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - -0.51. Let f = 0.1 + y. What is f rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x = 47*x - 37*x - 496 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/2 + 528*p - 1058 = 0.\nAnswer: -1058, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 5*j**2 - 5*j. Let y be a(-4). Let r = -1 + y. Let x(l) = l + 1. Let z be x(0). Sort -5, z, r.\nAnswer: -5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1326, -1483, -1640, -1797, -1954?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*-1*sqrt(77)*3)\/(sqrt(126)\/(3*sqrt(32))).\nAnswer: 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0269534568 rounded to four decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -828 + 846. Suppose -12*d + r*d = -72. Are 1.2 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4\/8 - 2637*h**3\/8 + 335229*h**2\/8 + 117916641*h\/8 - 119215557\/2 = 0?\nAnswer: -151, 4, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 22 = -r, 12 = -2*s - 0*s + 2*r. Put s, -2, 2, -7 in descending order.\nAnswer: 2, -2, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 18, -4, -5, 8 in descending order.\nAnswer: 18, 8, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v = -571840 + 570118 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 + 0 = 5*x, 0 = 4*i + 5*x - 10. Let s be 16*(65\/(-10) - -7). Suppose i*g - s*g = -45. What is the remainder when g is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 488*k + 10256. Calculate l(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k - 279*k - 1 + 265*k + 335*k in the form j + h*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-20*2\/(-16))\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*q - 1759*d**3 + 126*d**2*q - 10*d**2 - q wrt d.\nAnswer: -6*q - 10554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18367 - 12137. Let o = -137099\/22 + j. Find the common denominator of -151\/18 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52521675 divided by -10504335?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m - 55. Let b be i(14). Let y(r) = r**2 - 3*r + 2. Let z(g) = g. What is b*y(j) + 3*z(j)?\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*b + 4, -5*c + 6*b = 3*b - 12. What is the tens digit of ((-452)\/10)\/(c\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 5. Let t be 3 + 25\/(200\/32). What is a(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 4 = 3*g + w, -3*w + 18 = 3*g. Suppose 0 = 6*s - g*s. Let r be 6 + -4 + s - 0. Solve 2*p + r*d = 0, -4*p = -3*d + 4*d + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4359133, -17436556, -39232261, -69746248?\n\"Answer: -4359141*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/3*(-15)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 10.7. Let u = o + -10.9. Is u greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/8*(-4)\/(-7). Solve -10 = 4*w - 2*g, 0 = -2*w - z*g - 7 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**5\/60 + 81*z**4\/8 - 7*z**3\/3 - 1080*z**2. What is the derivative of d(u) wrt u?\nAnswer: -2*u + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17290 - -22640. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-18) - 28\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 5.08. Let p = -0.09 + -4.91. Let j = p - -9. Which is the nearest to -0.2? (a) l (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*m + 24 = 2*f, -26 = -4*f - 5*m. Let q be f - 127256\/(4 + -5). Let k = q - 39260. What is k rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d = -465024 + 473648 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38000018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 - 11681*k**2 + 272938240*k - 2182758400.\nAnswer: (k - 46720)**2*(k - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19 - 1245\/75)*-5. Sort 4, 2, -4, z, 8 in increasing order.\nAnswer: z, -4, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 6)\/(-1*4\/1456). Let b = 23981\/11 + l. Find the common denominator of b and -1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51661583 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z**(-5\/9)*z*z)*z)\/z*z**13\/z)\/(z**(-6\/7))**(2\/69) assuming z is positive.\nAnswer: z**(18229\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*u + 2044 = 0, 0 = -k - 3*u + 689 - 284. Suppose -k = 4*a - 28. Find the common denominator of 125\/6 and (-1 - -1) + a\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in milliseconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 55 = 3*a - 76, -4*a - 18*y = -23*y + 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(-1*sqrt(4)) - sqrt(18))\/(sqrt(24)*6))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1812 - 1249. Let m = 913 - h. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4810995 * 5\nAnswer: -24054975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (2\/4 - (-297)\/66). Solve -4*k = -2*s - w*s + 20, 0 = -3*s - k - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101\/42 + 18\/7. Let q be ((-3)\/16)\/(3\/(-2)) - (-651)\/744. What is the nearest to -0.1 in -9, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 19*u - 173. What is n(-17)?\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649037.\nAnswer: 19, 139423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-6)\/(-2))\/9. Let s(n) = n - 8. What is s(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12148220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 - -523. Suppose 0 = 3*r - 234 - g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*n - 70, 46 = 3*n + 4*w + w. Let f be 6\/n - (-25)\/2. Solve 4*u + 12 = -4*d, 3*d - 2*u = -u - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44\/117 - 2\/13. Let i = 0.22 + 0.28. What is the third biggest value in -1, h, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-305)\/(-9))\/(13765\/24777)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 58 = -3. Which is the smallest value? (a) 38\/3 (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2\/7)\/((-48)\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 229542684.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6378 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -14905950.82 to the nearest 10000.\nAnswer: -14910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 97, 0.3, -0.056, 5, -3, 1\/9?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -7\/4 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 12114121243?\nAnswer: -12114121244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(3) - (sqrt(192) + sqrt(3)))*1 + (sqrt(264)\/(2*sqrt(11)))\/((sqrt(200) - (sqrt(200) + sqrt(200)*-1)) + sqrt(200) + sqrt(200) - sqrt(8)).\nAnswer: 2689*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -9, 30997?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2382 divided by 137\nAnswer: 2382\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiymhhx. Give prob of picking 1 i and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let j(d) = 24 + 3*d**2 - 95 + 363 - 71 - 39. Determine j(h(r)).\nAnswer: 12*r**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/5 - 5828*a\/5 - 423920.\nAnswer: -4*(a + 700)*(a + 757)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 0*y + 0*y + (0*y**3 + 0*y**3 + y**3)*(3*y**2 - y**2 + 0*y**2) + 0*y**5 - 3*y**5 + 4*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-2)\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(7) + sqrt(7) + 0) + (sqrt(63))**2*-6.\nAnswer: -380 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m**(1\/8))\/(m**(-2))**20 assuming m is positive.\nAnswer: m**(321\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1007*v + 150585. What is k(149)?\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let n(z) be the third derivative of 0 + 0*z**3 + 0*z**4 + 7*z**2 + 1\/10*z**5 + 0*z. What is k(n(i))?\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllddld. Give prob of sequence dl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from ftffffffttff.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*((-33060)\/(-377))\/38.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -149999*r**3 - r**2 + r - 1. Let f be b(1). Let i be 30*(f\/(-9))\/(-1). What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 115 = 9*p - 22*r, -9*r = 2*p + 44 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 248200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1139 rounded to 3 decimal places?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2304)\/60)\/(26\/(-195)). Calculate the highest common divisor of 188 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + 1. Let h = -563 - -591. What is the greatest common factor of k and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111110010011001000110101?\nAnswer: -111110010011001000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1198444*w**3 - 4*w + 4*w + 1198423*w**3.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/4 + 9*y**4\/4 - 17*y**3\/4 - 25*y**2\/4 + 21*y\/2 + 10 = 0.\nAnswer: -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 8*o**2 + 220*o - 800.\nAnswer: -4*(o - 5)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 53*l - 3958. What is h(-94)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/(-17)*(-1)\/(-5)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 84, 193, 346, 543, 784, 1069?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*s - 30, -2*s + 1737*k + 50 = 1733*k. Suppose -3*c = -5*c - 8. Sort c, 4, s, 0.\nAnswer: c, 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 381*n + 30221. What is f(-79)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -296*f - 181. What is the units digit of a(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -150?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 622\/5 - (-7)\/105*9. Suppose -m*x + 123*x + 350 = 0. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -124 (c) -24\/601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 12 - 8 = 0. Let x be 104\/130*f\/(-2). Which is smaller: x or 33?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 458 = -49. Suppose 5*g - r = -0*g + 3*k, 5*g - 179 = -2*k. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 65*o - 291. Determine a(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u**2 - 3*u)*(u**2 - 6*u**2 + u**2) + 2*u + 24*u**4 + 0*u - 21*u**4.\nAnswer: 7*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f + 45*f + 24899 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 29 = -6. Suppose -3*j - 5*p = -a, -j = 3*j - p - 16. Suppose -4*k - j*f + 11 = 0, -3*k - 3*f = -2*f. Put -2, k, -7 in descending order.\nAnswer: k, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -2, -0.5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(30\/36).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3059\/6 + -512. Let p = 137\/24 - 407\/24. What is the common denominator of p and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 1 - 1)*(t - t + t) + (-t**2 - 2*t**2 + 5*t**2)*(-5 + 1 + 2).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 94, 141, 186?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 949920894 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)\/sqrt(4) + (1 + sqrt(1216))**2 + sqrt(1216))*-6*3 + -5.\nAnswer: -21911 - 468*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/(((b*b*b\/b**12*b)\/b*b*b)\/b)))*b\/(b*b**(5\/4))*b assuming b is positive.\nAnswer: b**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86\/203 + -4\/29. Let t be (-3)\/(-21) + 148\/(-252). What is the smallest value in u, t, -2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from iuooitgttzzgzo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2667)\/(-1890) + 15\/(-50). What is the third biggest value in -2\/3, 0.5, -4\/5, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 104 = -8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/22 - (-260)\/22. Let j be -1*4*(-8 - v). Find w, given that -200 - 26*w**2 - 22*w**2 + j*w**2 + 4*w**3 + 20*w = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*t = 19978 + 37877 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 15*w - 103 + 211.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 5, -1, -249, 1 in increasing order.\nAnswer: -249, -1, 0.3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15697383166 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045294 + -31.\nAnswer: -31.045294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-6))\/(4\/(-21)))\/(100\/(113100\/87)).\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 + 97 + 85)*(n + n + 0*n + (-n + n - 2*n)*(2 - 3 + 2) + n + 2*n + 0*n + 3*n + 3*n - 5*n).\nAnswer: 92*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/2 - 4*c**3\/3 + 6*c**2. Let i be p(7). Let l = i + -9. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(-3*a + a + a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-69 - -73 - (-2 - 65749)) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*i - 445 - 845. Suppose -5*v + 44 + 11 = -n, 3*n = 4*v - 44. Let p = v - 6. Calculate the greatest common factor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*s**3 - s**2 + 28 wrt s.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1661 - 1184. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59539 or -59550?\nAnswer: -59539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 4*b - 4200 - 3*b**3 + 4202 in the form n*b + y*b**2 + c + r*b**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 73, 90, 111, 136?\n\"Answer: 2*h**2 + 7*h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 7*r - 3*r - 8, 2*r = n - 6. What is the highest common divisor of 212 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8555124 - 5?\nAnswer: 855511e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1b970 (base 12) to base 11\nAnswer: -28996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 1. Suppose 3 + 5 = 4*z. Let f(r) = 3*r + 0 + r - z - 3*r**2. Let s(m) = f(m) - k(m). Let u(o) = -o**2 + 2*o - 1. What is -3*s(w) + 7*u(w)?\nAnswer: 2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -16. Let j = -12 - 14. What is the closest to 0 in 2\/13, b, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -5*t**2 - t - 5. Let v be r(-6). Suppose 0 = 3*z + 190 + v. What is z rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. Is (o + 55\/(-25))*-10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5dd26 (base 16) to base 7.\nAnswer: -3160251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3576352572 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 216*d**3 + 16663*d**2 - 527544*d + 5359216.\nAnswer: (d - 68)**2*(d - 61)*(d - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -450*(1296\/(-45) + 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -w. Suppose 5*o + 0*o + 3*l = 18, -o = -w*l. Suppose 2*f - 2 = 4*s, f + 65 = 6*f + 2*s. What is the remainder when f is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 27 - 25 - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -807*x**4 + 712 wrt x.\nAnswer: -3228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 480 + 86. Suppose 15 = 3*d, 0 = -3*j - j + 4*d + 256. Calculate the remainder when f is divided by j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 - -109. Suppose 22 + t = 5*h, 2*c = -h + 17805. What is c rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3408 divided by 12.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6947\/3 - 2314. Which is the nearest to 0.3? (a) 5 (b) -2\/17 (c) 40 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-20 - (8 + -17)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 13*r**8\/8 + r**4\/6 - 31*r**2\/2 - 4*r + 6. What is the third derivative of j(g) wrt g?\nAnswer: 10920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 8}. What is prob of sequence nfn?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/60 and -87\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/2)*f)\/f)\/f**21*f**(1\/22)\/(f*(f**(4\/11)*f)\/f*f) assuming f is positive.\nAnswer: f**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 541*p - 62828. Determine o(169).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-44)*40\/15*(-27)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/55)\/(6\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (-4)\/(32\/468)*(-3546)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9994\/727 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.81 + -8.21. What is the fifth biggest value in -2\/17, 1\/2, 0.3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 66.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 z when four letters picked without replacement from tuzeurj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vng when three letters picked without replacement from vvgvggnvn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {q: 4, h: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15618 and 272029118?\nAnswer: 5206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = 2. What is the highest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50516 divided by 25258.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -2. Let y be 12\/(-56) + (4\/(-8))\/(-1). Are y and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7252.2l?\nAnswer: 7252200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4020 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4605 and -0.4.\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 60e9?\nAnswer: 60ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/16)\/((-1)\/2). Put -1\/3, k, -0.4 in decreasing order.\nAnswer: k, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q - 48 = -36*q. Suppose 0 = -z - q*z + 18. Solve -u + 5 = -y + 3*y, -3*y + 18 = -z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:11 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(0*t - 5*t + 2*t) - 5*t - 4*t + t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -17890083\/29 smaller than -616898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12179, -12178, -12177?\n\"Answer: i - 12180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55283556 from 467801.\nAnswer: -54815755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8447, 8446, 8445?\n\"Answer: -m + 8448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 0.4 (c) -161433 (d) 0.3 (e) 16 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140 and 0.094?\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34054164 by 1891898.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 23354174, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-46 + 96) - (10 + (-1 - 1))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8973 = -4811. Let j = p + -1965. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/(-2))\/((-1)\/2*-1). Suppose -2*d - 9 = -c, 0 = o + d - 7. Calculate the smallest common multiple of 29 and o.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7452990 + -52136?\nAnswer: 7400854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(-2*c - 2*c + 5*c) - 3*c + 0*c + c)*(-5*c + 4*c + 9*c)*(-4 - 2 + 5).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 433319838 a multiple of 1527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.76 + -10.6652. Round q to two dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 4*o**2 + o + 6. Let s(k) = -k**3 + 3*k**2 + 2*k + 5. Determine -2*a(t) + 3*s(t).\nAnswer: t**3 + t**2 + 4*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47943979 a multiple of 1259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6848211g?\nAnswer: 0.0000006848211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * 17.4.\nAnswer: 1374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 26. Suppose -x - 4*i + 8 = n, 8*i = x + 3*i + 1. What is the third derivative of -150*t**2 + 4*t**x - 18*t**4 + 132*t**2 wrt t?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*d - 97, -98*d + 140 = -4*u - 94*d. Let w(l) = l**3 + 29*l**2 + 60*l + 155. Calculate w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 124\/(4\/(-1)) + 4. Let g = v - -35. Let d = 5 + 7. Calculate the highest common factor of d and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336187.29 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let k(o) be the first derivative of 10*o**2 + 73. Determine k(c(i)).\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let y be b(-1). Suppose y = 5*z - 0*z - 25. Suppose -5*v = -0*i - 2*i - 14, -5*v + z = -5*i. Solve -5*l = -i - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1125950 divided by -22519.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - -2)*(21 + -22). Let k(o) = o**3 - 11*o**2 - 28*o + 46. What is the remainder when 56 is divided by k(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 45*j - 20*j + 3 - 24*j. Determine y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590 (base 13) in base 15?\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 5*d**3 + 4*d**3 + (2 - 5 + 2)*(-56 - 32 + 26)*(4*d**2 + d**2 - 4*d**2)*(-3 + 1 + 1)*(-5*d + d + 3*d) to a*d + i + f*d**2 + t*d**3 and give t.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 141*k - 148*k + 286*k + 5 = -20*q - 4, 0 = -5*k + 2 - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17c0612 (base 14) to base 16\nAnswer: -b363c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -660.5 - -660. Sort 1.5, 5, j, -3 in descending order.\nAnswer: 5, 1.5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Which is the nearest to 0? (a) -4 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568524729.\nAnswer: 3, 29, 337, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4 + d**5 + 20\/3*d**3 - 66 + 0*d**2 + d. Find the third derivative of z(o) wrt o.\nAnswer: 120*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1244 + 913. Let p = u - 58202\/27. Let q = p + -2449\/1728. Is -1 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3584957101.\nAnswer: 11, 47, 2129, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 7 + -16 + (-3 - (4 - 4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 84116197 and -30856?\nAnswer: 84147053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t + 4*t**2 - 4*t**2 + 0*t**2 - 2. What is m(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324 - 326. Let u = -6 + 7. What is the third smallest value in g, u, 0.083?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101.8 + -101.3. Let i = 25 - 2. Let a = -23.1 + i. Sort 1\/5, a, c.\nAnswer: a, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/20 - y**4\/3 - 2*y**3\/3 - 3*y**2\/2 - 11*y. Give i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 5b5b53?\nAnswer: -5b5b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 1. Let f(d) = d**3 + 2*d**2 + 2*d - 1. Let s = 20 - 19. Suppose -w + 0*w - 6 = -2*o, w - 4*o = -14. Give s*f(z) + w*u(z).\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4403591, 8807160, 13210729, 17614298, 22017867?\nAnswer: 26421436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28655, -57183, -85711, -114239?\nAnswer: -142767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + w - 71, 2*t = 136*w - 138*w + 54. Let b be (-4 + 5)*1\/1. Let q = 6 - b. Solve q*l = 3 + t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + -1*(-1 + sqrt(1216))**2 + (sqrt(19) - (sqrt(133)*-2)\/sqrt(7)) + (sqrt(209)\/(sqrt(11)*-1 - sqrt(11)))**2.\nAnswer: -4845\/4 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54087, -216395, -486923, -865671?\nAnswer: -1352639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.48605 + -2016.\nAnswer: -2014.51395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240858256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-24) + 77\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) - ((sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76)*-3)*6 + sqrt(76)))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -455.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*v**5 + (v - 3 + 3)*(2*v**4 - 2*v**4 + 2*v**4) - 3*v**5 + 0*v**5 + v**5.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and -102.83461.\nAnswer: -117.83461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3020 in 0.1, -2, 471.36?\nAnswer: 471.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 184*s - 485. What is the tens digit of d(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 288*c**2 + 579*c + 290.\nAnswer: -(c - 290)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000295037952 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/6, 0.07, -0.0318, -0.4, -28.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.91 - 0.09. Let h = l + 4. Let c = -1.012 - h. What is c rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:00 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*m + 5 = -3*m, 0 = -5*g + 3*m + 8. Let l = 1.4 + -1. What is the closest to g in l, 5, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 14. Calculate the highest common divisor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -0.87, -0.1 in decreasing order.\nAnswer: 3, -0.1, -0.5, -0.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/21*(12 + -9). Put -2\/3, 1\/8, j, -1\/5 in increasing order.\nAnswer: j, -2\/3, -1\/5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(21\/5)*(y*y*(y**10\/y)\/y)\/y*y*y*(y**(4\/13)\/y*y)\/y*y\/(y\/(y*y**(-2\/7))) assuming y is positive.\nAnswer: y**(6926\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 20. Let m = 1 - -5. What is the greatest common divisor of m and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1247 in 0.01, 0.4, -4\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 119*x = 116*x + 9, x - 3 = w. Solve w = -11*b - 65 + 32 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 29*m + 158. What is the remainder when f(8) is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 12506?\nAnswer: 1375.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 6. Let i(q) = 1. Calculate -f(o) + 3*i(o).\nAnswer: -2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(1 - -2). Let f be 3\/((-5)\/z + -1). Suppose 4*l = -f*d + 50, -d + 29 = -0*d + l. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9759782 nanometers?\nAnswer: 0.0000009759782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -38668522\nAnswer: 38668521.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/218011?\nAnswer: -10\/218011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 8*x + 2. Let k(c) = c**2 - 4*c + 1. Let a(i) = 5*k(i) - 2*n(i). Let f be a(-6). Let t = 11 + f. Is 3 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28910, 114768, 257864, 458198, 715770, 1030580, 1402628?\n\"Answer: 28619*y**2 + y + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/7496 and -23\/18740?\nAnswer: 37480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3ca3 (base 14) to base 13\nAnswer: 4b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 + -40 + 29 + 100)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8)\/(-3)*(-261)\/(-174)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -675*q**3 + 6*q + 6. What is the tens digit of s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -17. Let x be (3448\/r)\/((-6)\/9). Let k = x - -38443\/110. What is the common denominator of k and -55\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-one fifths of a millennium?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**5 - 131497*b**3 - 18*b**2 + 2966*b + 3205 wrt b.\nAnswer: 60*b**3 - 788982*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23509\/35205 - 13\/11735. Let s be -1 + 1 + 0 + 1. Let x be (2\/14*-3)\/s. Which is the second biggest value? (a) 0.2 (b) j (c) -1\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + (-1 + 3 - 1). Let z be (-2)\/j + 93\/33. Solve z*r + 4 = 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4759780698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*r - 1815 = 0, -4*r = 2*m + r - 707. Solve 0 = 115*x - 54*x - m for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from xxddmxnmmxr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + u**4 + 3*u**4 + (-3*u**4 + 3*u**4 - 2*u**4)*(-9 - 1 + 0) - 2*u**4 + u - u.\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 192. Let l = 136 - w. Is -892*(l\/16)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 7.09. Let d = 7.011 - s. Let w = -0.0109919 + d. What is w rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 9}. Give prob of sequence oddd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 20 = 0. What is the derivative of 4*k**4 - u*k**4 - 1 - 4 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2880 + -3271.4. Let l = v - -392. Which is the third smallest value? (a) 3 (b) -4 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 7*i**2 - 11*i + 1. Let q be m(-8). Suppose -35*n + l + 20 = -30*n, -27 = -4*n + 3*l. Which is the smallest value? (a) q (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49111?\nAnswer: 67, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 - j - 1. Let d be (-2)\/4 + (-63)\/(-14). Let b = d - 9. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9457*l - 4726*l + 744 = 4719*l for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 4*z + 3*z - z - 4*z + 4*z + 0*z - 5*z + (-3 + 1 + 0)*(-2 + 2*z + 2) + (-1 + z + 1)*(-1 - 13 - 3))*(-91 - 44 - 7).\nAnswer: 3550*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1640 and ((5876\/246)\/(-13))\/((80\/(-3))\/(-1)).\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = u + 1, 5*u - 60 = -13*a + 16*a. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 4*i - 3*i)*(-93 - 60 + 31)*(1 + 1 - 1) in the form h + m*i and give m.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Suppose 5*a + 3 = 2*a. Let p be i(a). What is the derivative of p*r**4 - r**4 - 2 + 1 + 0 wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:14 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:53 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 504 + 460)*(r**3 + 3*r**3 - 2*r**3 + (3 - 2 + 1)*(4*r**3 - 3*r**3 + r**3)).\nAnswer: 5748*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 517*g**2 - 148 - 493*g**2 - 636*g**2 + 1779*g**2.\nAnswer: 133*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2712 is divided by 143?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 406 - 409. What is the closest to -1 in -15, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let o(b) be the third derivative of 1\/20*b**5 + 0*b + 0*b**3 + 0 + 4*b**2 + 0*b**4. Give o(m(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 3*f**2 - 48*f + 1. Let l be d(10). List the prime factors of ((-306)\/l)\/((-6)\/20).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 + 23*c**2 - 21*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -50*s**2 - 132*s + 187. Find the first derivative of o(q) wrt q.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41796 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 862480900 and 10568?\nAnswer: 5284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/32 + a**3\/48 - a**2\/8 - 16*a. Find d, given that j(d) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16506.9 to the nearest one hundred.\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223213021 (base 4) in base 6?\nAnswer: 23022133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = b - 95 + 122, -3*b + 69 = -12*v - 8*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001571437 to five decimal places.\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 3257*d - 530316. Calculate u(330).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) 0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*w - 9*w = 84*t - 87*t - 262, 4*t = -2*w - 368 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7344 - -11222?\nAnswer: 18566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5420 (base 6) to base 15.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 less than -0.25?\nAnswer: -1062.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (1 - 0 - 3). What is the second derivative of -6*b + x*b - 4*b**5 + b**5 wrt b?\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -69*r**3 + r. Is 22 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.21, -1\/2, 0.5, -669.\nAnswer: -669, -1, -1\/2, 0.21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(108\/150)\/9*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/799164 and 41\/5058.\nAnswer: 799164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:45 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 21 - 1 - 8 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -24. Suppose 0 = -m*d - 0*d. Solve -5*x = 10 - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2488315 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15196103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -g - 0*g + 1, -g + d = -1. Let o be 5\/(-4) + (-1)\/(-4). Let w be g\/(2 + o)*3. Solve -8 = -v - w*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 16, 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 7\/137 (c) -4 (d) 2\/49 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10196483\/13 - -784345. Let 2\/13 - 2\/13*p**2 - 2\/13*p**3 + v*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3091 = -l + 4*j, -3*l + 9305 = 63*j - 59*j. What are the prime factors of l?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -324, -39, 5, 48, -4, -5, -3 in ascending order.\nAnswer: -324, -39, -5, -4, -3, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - j**3 - 4*j**2)*(-3*j + 3*j - 2*j) - 6*j**4 - j**4 + 0*j**4 + 2 - 2 - 7*j**4 to w*j**4 + f*j + d + h*j**3 + v*j**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6631454, 13262911, 19894358, 26525789, 33157198, 39788579, 46419926, 53051233?\n\"Answer: -f**3 + f**2 + 6631461*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2344405 (base 6) to base 13.\nAnswer: -43bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-13\/2)*f**(2\/47)*f*f*(f**(-1\/44)\/f)\/(f\/(f**(1\/5)*f)) assuming f is positive.\nAnswer: f**(90163\/10340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1005326?\nAnswer: 1005326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/33?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -37, -3, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 b when three letters picked without replacement from {u: 1, l: 3, m: 2, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 14*l**2 - 217718*l + 217718*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 9283*g - 9281*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59406 is divided by 2802.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -151*m - 234. Let g(h) = 29*h + 47. Let l(a) = -11*g(a) - 2*i(a). Let f be l(-3). Solve 0*z + f*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*b - 1 + (-3 + 1 + 1)*(-3 + 3 - 2*b) + (-b + 2*b + 0*b)*(1 - 2 + 2))*(-722*b - 84*b + 131*b) in the form i + a*b + g*b**2 and give g.\nAnswer: -3375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/120 + 3*u**5\/20 - 5*u**4\/12 + u**3\/6 - 3*u**2. Let d be n(-10). Is (d + 0)*(-4 - -23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -77, 5, 1, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 2 b when four letters picked without replacement from {h: 3, q: 3, b: 7, v: 1, m: 4}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/(y**(-2\/33)\/y)*y**(2\/3)*y\/(((y**(5\/2)\/y)\/y*y)\/y)*y assuming y is positive.\nAnswer: y**(93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 987.\nAnswer: -4, 8, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 235*q + 539*q + 366*q - 2888 + 144*q**2 + 4*q**3 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:16 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/60 + 11*n**4\/24 - n**3\/6 - 22*n**2. Let s be r(-12). Suppose -7*g + g + 54 = 0. Is s > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 233*h*i*s**3 - h*s**3 + 49*h*s**2 + 4*h - 2*i**2*s**3 + 1321*i*s - 5*s wrt i.\nAnswer: 233*h*s**3 - 4*i*s**3 + 1321*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 22 = -5*k + k, -3*a - 42 = -4*k. Let q be (-5)\/a*32*-7. Let z be q\/24 - (-2)\/(-6). Are z and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m - 2*o, -526*o = -5*m - 530*o + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-39)*4914\/126?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 17391?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*u + 17663 - 3211 = 8687 - 28134 for u.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -22, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69248*n**5 + 46977*n**2.\nAnswer: -4154880*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 54. What is the tens digit of 297\/x*(-16)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -17 - (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 43*n**3 + 30*n**3 - 28*n - 71*n**3 - 2*n**2 - 14 in the form q*n**2 + y*n + v + o*n**3 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.17726174 and 0.1.\nAnswer: -0.07726174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277515 is divided by 2277496?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 + 11 + b + 0. Let h be s(-9). Suppose 0 = -h*i - 0*i + 21. What is the greatest common factor of 56 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9 - -7152?\nAnswer: 7162.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:22 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 1. Let n be q(1). Suppose 5 = -n*b - 5. Let k(d) = -2*d**3 - d**2 - 4*d - 3. Calculate the remainder when k(b) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16007, 16428, 16849, 17270, 17691, 18112?\n\"Answer: 421*t + 15586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 - 10*i + 46. Calculate s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 5.5205.\nAnswer: -55.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*y**0)\/((y**(-5\/2)\/y*y)\/y*y**(-4)))\/(y**(-7\/5)\/((y\/y**4)\/y**(-2\/7))) assuming y is positive.\nAnswer: y**(153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1034, -4355, -9886, -17621, -27554, -39679, -53990, -70481?\nAnswer: -89146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 3. Suppose 457*m = 465*m - 40. Give a(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(106\/(-4) - 2). Let r = -7 + 4. Let v = -20 + 14. Which is the smallest value? (a) v (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1787 = -1331. Solve j = 32*u - 13*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14084 + 4152 + 22*j + 29*j - 8*j - 41*j in the form m*j + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/((-13050)\/4320))\/(9*(-1)\/(-120)).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01301484 to five decimal places.\nAnswer: -0.01301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 4, r: 6, y: 3, n: 2}. What is prob of sequence yr?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**4\/12 + 3*y**3\/2 - y**2. Let r(q) be the third derivative of q**4\/24 + 2*q**3\/3 - 43*q**2. What is 2*c(b) - 5*r(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, f: 4, x: 2, s: 7}. What is prob of sequence sfd?\nAnswer: 49\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -2650193?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 4 - 4 + 2*s + 2*s - 3*s + (0 + 3 - 2)*(8*s - 6*s + 10*s) - 56*s + 74*s + 76*s to w*s + g and give w.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5446 and 3499730.\nAnswer: 9529764790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57808837 is divided by 602175.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let b(d) = -7*d**2 - 12*d**2 + 4*d**2 + 0*d**2. Give b(n(q)).\nAnswer: -60*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 195861 + -4*(-21 - -16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -1 - (-3 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 115*g + 2. Let t be q(1). Let z = -4 - -9. Suppose 5*h - z*w - t = 2*h, -h - 2*w + 50 = 0. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) -1 (b) 8561 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**2*b)\/(b*b*b**(1\/8)))**(1\/31) assuming b is positive.\nAnswer: b**(-17\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11290 - 11290. Let s = -14\/13 + 59\/91. What is the closest to g in s, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.68 - 39.7. Which is the fourth biggest value? (a) k (b) 2.7 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.5 at least as big as 175\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -19?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1133 (base 7) to base 10\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-430)\/(-645))\/((1 - -1)\/((-13)\/(-286)))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -333, -497, -819, -1353, -2153?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:07 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*m - 149*m + 296*m - 29 = 2*f, -2*m = 4*f + 54 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373*u**2 + 179*u?\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 + 6, 5*x = -4*r - 865. What is the remainder when (r\/25)\/(2\/(-10)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/((-72)\/18)*((-21)\/(-5) - 3) + 75.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -1, -24, -2\/15?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, -2\/3, 5\/4, -19, 1649.\nAnswer: -19, -2\/3, 1, 5\/4, 2, 4, 1649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/236 (b) 3 (c) -0.4 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13718, -27448, -41196, -54968, -68770?\n\"Answer: -o**3 - 3*o**2 - 13714*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Solve -5*h = 4*o - 18, -m = 3*h + o - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) 232 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*l**3 + l - 303*l**2 + 303*l**2 in the form t*l**2 + v*l + r*l**3 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17906543.\nAnswer: 29, 617467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 12:52 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/159171 or 0?\nAnswer: -11\/159171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1. Let s be (-336)\/(-21)*(-21)\/(-4). Suppose 0 = 79*k - s*k + 5. Let z(a) = 4*a**2 + a - 1. What is k*q(c) + z(c)?\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6278*q**2 - 38 + 3*q**3 + 6278*q**2 + 127 to b + i*q**2 + j*q**3 + w*q and give b.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*n + 34 - 39 = 0, 3*p + 3*n - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 10*k + 3. Let v = -73 - -76. Let u be x(v). What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3984, 4060, 4138, 4218?\nAnswer: 4300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.73393538 to two dps.\nAnswer: 4.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:01 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6500, 12673, 18506, 23999, 29152, 33965, 38438?\n\"Answer: -170*o**2 + 6683*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -1579.\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -93*b**2 + 7529982*b + 3400656 = 0.\nAnswer: -14\/31, 80968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 2*v**2 - 1. Suppose -2*a + a = 3. Let s be a\/(-2)*(-2)\/3. Let l be y(s). Solve 5*o + g + 0*g + 4 = l, -5*o - 2*g - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 8*h + 6. Let y be k(4). Let n be 12\/5 - (18\/y)\/3. Suppose -z - 2*p + 400 = 3*z, -3*z + 303 = n*p. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -53*(1 + 3 + -3). Let s = 93 + j. Suppose 0 = -4*c - 5*q + 39 - 4, -2*c + 2*q + s = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**4 + k**3 - k**2 + 1. Let g(q) = 2*q**3 - 4*q**2 - 16*q - 10. Let c(u) = 2*a(u) + g(u). Factor c(i).\nAnswer: 2*(i - 2)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7. Let y be v(0). Let m(k) = -k**2 - 7*k - 6. Give m(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 2)*(5*i - i - 3*i) - 1 + 2*i + 1)*(-5 + 10 - 2 - 11*i).\nAnswer: -33*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 12*l + 4. Let n(h) = -h**3 + 4*h**2 + 1. Let v be n(4). Let u be (l\/4)\/(v\/(-22)). Calculate the greatest common divisor of 99 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23012000322 - 13?\nAnswer: 23012000303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3 (base 14) to base 15.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -604*a - 557*a + 208*a + 6*a + 0*a - 3*a + (4*a + 0*a - 2*a)*(-1 + 1 + 1) - a + a + a.\nAnswer: -947*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1430, 2980, 4564, 6188, 7858?\nAnswer: 9580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 - (63 + (11 - (-6 + (22 - 12)))))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*m = -78*m + 20465 + 72572. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:48 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1013477332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 63*y**2 + 423*y - 1061. Give s(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21596 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(1806\/(-180) + 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115973, -463909, -1043799, -1855643, -2899441?\nAnswer: -4175193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-1 - 6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*a - 85 + 116 = -0*w + 86, -3*a = -w - 8 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*i - 2*z, -3*i + z = 3*z + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/((-27)\/((-4914)\/104))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10436288, -10436458, -10436628, -10436798, -10436968, -10437138?\nAnswer: -10437308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422170 rounded to the nearest 10000?\nAnswer: 2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3*m + 4. Let c be f(3). Let x = c + 6. What is the common denominator of 77\/6 and ((-99)\/5)\/((-8)\/x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114 + -119)*(703\/(-235) + 3)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 301 + 206. Let d = -467.1 + t. Let l = d - 50. Round l to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(-1))\/j)\/j)**(-2\/135)\/(((j*j**4)\/j)\/(j**(-1\/6)\/j))*(j\/(j*j\/(j\/j**(2\/5)*j)*j))**(-6)*j**3*((j**(2\/27)*j)\/j)\/j assuming j is positive.\nAnswer: j**(-61\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 + t**4\/4 + t**3\/4 - t**2\/4 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*3\/(-18). Let b = -0.355 + -0.055. Let l = -0.01 - b. What is the nearest to 2\/9 in y, -1\/6, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1301*o**4 - 6*o**3 + 10*o**2 - 1706890 wrt o.\nAnswer: 5204*o**3 - 18*o**2 + 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19725*r**2 + 7*r + 9866*r**2 - 143 + 8*r + 9860*r**2 - 15*r.\nAnswer: r**2 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 - n**2 - 3*n - 3. Does 29 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 1 = 5 + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6807348.69 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**2 + 21*c + 9. Let x(v) = v + 1. Let l(h) = 2*d(h) - 6*x(h). Let p(f) = 3*f**2 + 7*f + 2. Let j(n) = 2*l(n) - 11*p(n). What is j(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -8262860322353.\nAnswer: -8262860322388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 475, 955, 1435, 1915, 2395?\n\"Answer: 480*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.583 + -0.083. Let l = -0.03 + 0.33. Let j = 6.7 + l. What is the closest to -1 in j, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = 3*z - 15, -2*z + 2*n + 12 = 0. Suppose 5*m - 7 = -l, z*l - 2*m + 19 = 3*m. Let j = l - -5. What is the highest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 n when four letters picked without replacement from {q: 1, x: 3, d: 1, o: 4, n: 4}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4144 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g + 2*g**3)*(-1 + 0 + 0)*(1 + 0 - 2)*(-11*g - 22*g + 21*g) to o*g**4 + d + q*g + r*g**2 + t*g**3 and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(-30*17\/(-510)). What is the nearest to t in 12, -4, 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 13) to base 3\nAnswer: 201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2700 and 101\/12.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 951 = -37*u - 4*w, 3*w = 12. What is the remainder when 536 is divided by u?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o - 28241*o**3 - 28231*o**3 - o**2 - 2 + 4 + 56475*o**3 to the form f*o + c + z*o**2 + d*o**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 0.066888\nAnswer: -0.0735768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*c - 36299985 = 6*s, 0 = s + 5*c + 18149975. Round s to the nearest 100000.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -53, -129, -227, -341, -465, -593?\n\"Answer: t**3 - 20*t**2 + 5*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugqk when four letters picked without replacement from {k: 1, u: 1, g: 1, t: 5, q: 9, o: 1}.\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**5\/12 - 35*f**4\/12 + 245*f**3\/6 - 6*f**2. Factor h(q).\nAnswer: 5*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46262392 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*(-2 + 0). Suppose 2*s - x + 20 = -3*s, -y*s - 2*x = 8. Is (-610)\/(-15)*(-30)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*w**2 + 4*w + 98*w**2 - 364*w**2.\nAnswer: -378*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 801\/8 - 100. What is the nearest to -3 in -3, h, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 1245*y - 1246*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j**(1\/3)\/j))))**(29\/5)\/(j**1)**(-2\/43))\/(((j**1\/j)\/(j*((j\/(j*j**(-3)\/j))\/j)\/j*j))\/((((j**(-5)\/j)\/j)\/j)\/j**5)) assuming j is positive.\nAnswer: j**(-3281\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0*o**5 + 0 - 1\/7*o**7 - 5\/3*o**4 + 2*o**2 + 13*o + 8\/15*o**6 + o**3. Solve u(g) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(88)\/sqrt(4)*-6)\/(sqrt(7200)*-1*-5).\nAnswer: -6*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 216910*d**3 - 88689 wrt d?\nAnswer: 650730*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*t**3 - 252 + 122 - 3*t**2 + 3*t**2 + 129 to h*t**2 + c*t**3 + w*t + f and give c.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**5\/60 + c**4\/24 - 2*c**3\/3 + 6*c**2 + 1. Let y(n) be the second derivative of b(n). What is y(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3955419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125430 by -3.\nAnswer: 41810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*m - 13*m + 184704 = 0. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -23. Let b(z) = 16 + 4 - 3*z - 15 + 9*z**2. Is b(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6272.5458 and 541.\nAnswer: -5731.5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, 122, 120, 118, 116, 114?\n\"Answer: -2*t + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.1 (c) 4\/9 (d) 58 (e) -1\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:08 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.39 + -24.56. Let y = -0.17 - q. Let x = y - -25.5. What is the second biggest value in 2\/5, x, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14671 divided by -1.\nAnswer: 14671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*(6119\/(-174) - -41).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*u + 190*u - 21 = 0. Which is smaller: u or -1\/45?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616647652 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/9 + 11044*h\/9 = 0 for h.\nAnswer: 0, 5522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010000101010110011 - 1?\nAnswer: -1000010000101010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 3, 0, 6 in decreasing order.\nAnswer: 32, 6, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1095, -6.41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1190, -7293, -24424, -58097, -113826?\n\"Answer: -919*q**3 + 330*q - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213789 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o - 31*o - 185 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58758819.492 minus 0.4?\nAnswer: 58758819.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -11, 845, -74\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -27. Suppose 3*y + x = 5*t + 69, -4*t - 63 = -5*y. Which is greater: -11 or t?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 * 99\nAnswer: -15147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6*y**3\/7 + 306*y**2 + 924*y + 4320\/7 = 0.\nAnswer: -2, -1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -17.1. Let u = -41 + 41.4. Sort -0.2, u, 0.1, o in descending order.\nAnswer: u, 0.1, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**5\/20 - a**3\/3 - 2*a**2 - 3*a. Let p(w) = -6*w**3 + 11*w + 21. What is 11*b(h) + 2*p(h)?\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12542 (base 9) to base 13.\nAnswer: -3b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513 is divided by 253.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/70*(-17)\/((-289)\/85)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -154553.1 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v + 28*v = 11*v + 4*v - 9540 for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4\/7)*y)*(y*y**(-1))\/y*y)\/(y**(-1\/2)\/y**(4\/5))*y**(-3\/5)\/y**(-5)*y**(4\/9)\/(y*y*y\/(y\/(y\/((y\/y**(-8))\/y))*y)) assuming y is positive.\nAnswer: y**(8011\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001000021 - 122122120?\nAnswer: 12101100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 + 6. Let s = 60 - 22. Let w = -264\/7 + s. Which is the closest to 0.2? (a) w (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -125, -120, -113, -104, -93?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -23. Let q = 5 + i. Let a = 141 - 138. Is a smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llalallllllll. Give prob of picking 3 l.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8*f - 32 = 0. Let t = 8 + -6. Suppose 5 = o, 3*o = t*r + 2*r - 49. Solve r = -0*v - f*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 10 - 5)*(-2*d**2 - d**2 - 2*d**2).\nAnswer: 250*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + 3*d)*(0*d - 7*d + d - 5*d + 2*d + 2*d - d + 0*d + 0*d + (2 - 5 + 1)*(d + 0*d + d) - d + 2*d + 3*d).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18*s**2 - s + 2. Let t(b) = 233*b**2 - 13*b + 26. Let m(u) = 39*p(u) - 3*t(u). Let a(k) = 93*k**2 + 5. Calculate m(a(n)).\nAnswer: 25947*n**4 + 2790*n**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqyyqqhhhqqqh. What is prob of picking 1 q and 2 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10906613976 + 371\nAnswer: -10906613605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16267 = -34*x + 8927. What is the highest common divisor of x and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 0*h + 2*h)*(1 - 3 + 1) + 0*h + 0*h + 7*h - h + 2 - 2 + (-2*h + h + 2*h)*(-2 - 1 + 2).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Let h = 11 - t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 14*o**2 - 17*o + 36. Let j be r(15). Let x = j - -232. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-525236\nAnswer: 52523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - (-67 - -82)) + 505\/(-36).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1190, 1162, 1172, 1238, 1378?\n\"Answer: 3*a**3 + a**2 - 52*a + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66.968 + -0.032. Let o = c + 67.00000297. Round o to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + w + 5 = 0, 3 = 4*s + w + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**0)\/((g**(-2)\/g)\/g)*g**(-3)\/g**5)**(-34))**(-15\/4) assuming g is positive.\nAnswer: g**(-765\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + 450. Suppose 5*t - y - 10 = 4*b, 5*t + 3*b - 94 = 0. What is the least common multiple of t and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 35, -2, 3, -2\/9, 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**25)**(-1\/21)*(b\/(b**(-36)*b))\/(b*b**(-18)) assuming b is positive.\nAnswer: b**(1088\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32304.9 + -32305.01000032. Let m = 0.11 + f. Round m to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9858 and 6042.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -114, -614, -1506, -2790, -4466, -6534, -8994?\n\"Answer: -196*o**2 + 88*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 + 8*l + 4. Let y(d) = d**2 + d + 1. Let g(t) = -2*y(t) + z(t). Let f be g(-2). Which is greater: 13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.30572 to one dp.\nAnswer: -142.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/4 + 9795*a**2 + 383572125*a\/4 - 1919820125\/2 = 0 for a.\nAnswer: -19595, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1890424 and 380?\nAnswer: 9452120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2434 and 14?\nAnswer: 17038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**4 - 17567*j**3 + 7*j**2 + 523913 wrt j?\nAnswer: -8*j**3 - 52701*j**2 + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170302 - -3?\nAnswer: -170277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from {n: 2, k: 2, a: 5, x: 8, m: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86293565.\nAnswer: 5, 17258713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let f(r) = -59*r + 37. Let q(a) = 77*a - 50. Let v(z) = 9*f(z) + 7*q(z). Let o(j) = 2*j - 4. Determine h*v(x) + 9*o(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18809321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7*16\/280)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82652421041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3420 and 5540?\nAnswer: 947340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68723*a**4 + 1406*a**3*c - a**3 + 1418*a**2 + 282172*a*c wrt a.\nAnswer: -1649352*a + 8436*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10905003*0.5\nAnswer: 5452501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 108 = -118 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose -15 = -w*a - 0. Suppose -s - a*s = -r - 3, -2*s = -2. What is the third biggest value in 0.1, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21589790 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 1416, 1395, 1354, 1287, 1188, 1051, 870?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608242123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81608090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 16*s + 9. Let w(r) = -4*r**2 - 16*r - 8. Let c(m) = -3*q(m) - 2*w(m). Let v be c(-16). Let t(d) = -d**2 - 11*d - 5. Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17336 and 13208456.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 3, 2, -4, -9\/5 in decreasing order.\nAnswer: 3, 2, 0, -1, -9\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 + 3*s. Let c be j(-4). Suppose 3*w + w = 20, 3*w = c*g - 29. Is (12 - g)*(0 + 11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2. Let y(k) = -4*k**2 + 14*k**2 - 6*k**2 + 21*k**2. Give y(r(j)).\nAnswer: 225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q + 46. Let i be 2\/7 + (-132)\/(-28)*1. Let o(r) = 18*r + 45. Let j(d) = i*s(d) - 4*o(d). Differentiate j(f) wrt f.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84140483 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 2:15 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.010435 - 0.012. Round j to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*n - 2, 3*n - 31 = -5*c + c. Suppose -x - 38 + 17 = -2*b, 0 = n*x - 5. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297 - -430. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -14\/43, -2, 1\/390?\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -1 (b) -79 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -307\/3. Let z be 5\/(-2)*54\/(-540). Which is the third biggest value? (a) m (b) -12\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45313287 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 4*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 9) to base 4\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(-28)*(l**(-1\/3))**30)\/(l**(-5)*(l*(l\/(l*(l**(2\/11)*l)\/l))\/l)\/l*(l**(-2\/7))**(3\/17)) assuming l is positive.\nAnswer: l**(68372\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5\/3 - 4*k**4 + 4*k**3\/3 + 44*k**2\/3 + 16*k + 16\/3 = 0. What is k?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4248*u + 1 + 1 + 3*u)*(2*u + u**2 - 2*u + (-3 - 1 + 6)*(-u**2 - 2 + 2)).\nAnswer: -4251*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 96\/832*(-4)\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 1639 = 9500. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8*t = 6*t - 79, -2*t - 45 = 3*g. Let b(n) = -n**3 - 18*n**2 - 19*n - 26. What is the smallest common multiple of 3 and b(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*a**3*h**3*l**2 - 2*a**3*h**3 + 2*a**3 - 3*a**2*h**2 + 49*h**3*l**2 - 22*h**3*l + 3*l wrt l.\nAnswer: -164*a**3*h**3 + 98*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649 + -648 + (2 - (22 + -2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l - 5*l**4 + 12*l**4 + l + 2*l**2 wrt l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4 + 11. Let f(p) = -2*p**2 + p - 4 + 0*p**2 + p**2 + 1. Determine f(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 1602.\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8787\/1286 - -1\/1929. What is the common denominator of (4\/50)\/(4\/(-445)) and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 482, 489, 502, 521?\n\"Answer: 3*h**2 - 2*h + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -58. Let d = 1 + 4. Sort -2, i, d in increasing order.\nAnswer: -2, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*y = -0*t - 12, t - 6 = -y. Let l = 8 - t. Does 3 divide l\/(-3)*18\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8951999 divided by 1278857\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103076 and 8468?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/23, 55 in increasing order.\nAnswer: -3\/23, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56758 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -5*j - i, -5*i - 6 = -2*j. Let a = 18 + -17. Let n = j + a. Solve b + b = n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 961452*k + 105783920.\nAnswer: -2*(k - 480836)*(k + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 162 (c) -5 (d) 28950\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-15)*(-435)\/(-116)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 1050, 1571, 2202, 2979, 3938?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r + 580 = 287 - 382 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-42)*-6*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 4, -5\/4, -7182?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-105) - (-8)\/28. Determine q, given that -o*q**2 - 2\/5*q**4 + 0*q + 0 - 4\/5*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -419*k**3\/6 - 2*k + 1. Let n(h) = -h**2. Give b(n(d)).\nAnswer: 419*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 5) to base 11.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818627223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 4711 + 727. Let i = -260 + t. Let x(b) = -b**3 - 12*b**2 - 7*b + 3. Give x(i).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -117*a**4 + 20076*a**3 + 8724*a**2 - 80304*a - 33024 = 0. Calculate a.\nAnswer: -2, -16\/39, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32469 and 1659?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -6 (c) -2 (d) 104 (e) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38818657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/154)\/((-42)\/(-644))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*n**3 - 852*n**3 + 296*n**3 + 341*n**3.\nAnswer: 99*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, -1777, -6989, -17333, -34519, -60257?\n\"Answer: -285*v**3 - v**2 + 208*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69 and -598105520.\nAnswer: -598105451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {r: 2, a: 2, c: 1, k: 2, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 18*p**2 - p + 51. Let u be k(18). Let r be (-892)\/(-3) - 2\/6. What is the greatest common divisor of r and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.29119096 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((2 + sqrt(448) + -1)*-6)**2 - (2 + (6*(sqrt(448) - (sqrt(448) - sqrt(448)*1)))**2)) + 2.\nAnswer: 206 + 3456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 7*q**3 + 0*q + 1\/24*q**6 + 56 + 1\/20*q**5 + 1\/12*q**4 - q**2. What is the second derivative of d(b) wrt b?\nAnswer: 30*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215800 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2666*q - 5347*q + 17991 + 2680*q as d*q + t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3532*j**3 + 1411*j**2 + 2*j.\nAnswer: -21192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let q be -2 + k + 3 + -1. Solve q*w + 6 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n - 1. Let y(g) = -3*g**3 + 12*g**2 - 12*g - 6. Let k(q) = -36*b(q) + 3*y(q). What is the derivative of k(p) wrt p?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105434472 to the power of 1\/2, to the nearest integer?\nAnswer: 33248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-3) + 0)*36\/(-8). Let z = p + 69. Solve -3*h - 2*m - z = 0, 0*h + 3*h + m = -12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2196*v**3 + 4395*v**3 - 2189*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2*i + 37140*h**2*r + 6*h**2 + 3778*h*i*r - 6133*h*i + 17*h + 8*i wrt r?\nAnswer: 37140*h**2 + 3778*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1548064 - -30993447\/20. Let w = 1607 - a. Calculate the common denominator of w and (-3)\/3*(-62)\/32.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-11))\/z)\/(((z*z\/(z**(-6)\/z))\/z)\/z)*z**(4\/5)*(z\/(z\/(z**15*z*z)))\/z assuming z is positive.\nAnswer: z**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f + 43. Let j(c) = -3*c + 11. Let q(s) = -6*d(s) + 22*j(s). Let r(l) = l - 1. Let m(n) = -q(n) + 5*r(n). Differentiate m(b) with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4121 + v**2 - 8301 + 4180 + 2*v - 2*v. Let n(y) = -1. Let w(h) = 2*h - 51. Let t(d) = 6*n(d) + w(d). What is l(t(u))?\nAnswer: 4*u**2 - 228*u + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 4 = -4*y. Suppose -y = -g - 0. Suppose g*t - 45 = 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 5*w**2 - w - 3. Let a(m) = m - 8. Let r be a(11). Suppose i + r = -2. Let k be q(i). Solve k = z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12563?\nAnswer: 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/15 + -2)\/(2\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649 = 26*i + 597 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -1086\/7. Which is the second smallest value? (a) 3\/2 (b) -0.4 (c) t (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25733027 to the nearest integer?\nAnswer: 5073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 3508740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*f**2*z + 152*a**3*z - 24*a**3 + 179*a**2*z + 6*f**2*z + z wrt a.\nAnswer: -6*f**2*z + 912*z - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 100\/105 - (-2)\/(-3). Let z = 713 - 711. What is the nearest to -1 in a, 0.5, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 - 12*f**3 - 6*f**2 + 9*f + 6 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k - 6629291 = -502331. What are the prime factors of k?\nAnswer: 2, 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b\/(b*b\/((b\/((b*(b\/(b**(-3)\/b))\/b*b)\/b*b))\/b*b)*b*b)))\/(b*b**0)*b\/b**3*b*b*b\/(b**(1\/7)\/b*b*b)*b*b)**(13\/5) assuming b is positive.\nAnswer: b**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 114*y**5\/5 + y**2 - 88*y - 2. Differentiate v(h) wrt h.\nAnswer: 456*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693099, -693082, -693065, -693048?\nAnswer: -693031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71300502 to the power of 1\/2, to the nearest integer?\nAnswer: 8444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-6))\/(-18 + 17 + -12 - 5338\/(-408))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -597b6b (base 12) to base 4.\nAnswer: -11200223003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24606603.\nAnswer: 3, 7, 390581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1320 + 2262 + 226 - 34 - 7663*q + 2603*q wrt q.\nAnswer: -5060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 6*g + 9*g. Let y(s) = -1. Let q(v) = -3*v + 18. Suppose 0 = 10*i + 95 - 275. Let p(c) = i*y(c) + q(c). Give p(w(l)).\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 9*p - 3*p**3 - 1 + 5*p - 17*p + p**2 to b*p**2 + k*p**3 + a + n*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1)*(-3)\/(-1224)*8.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22321 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.26. Sort r, 1, 4.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -16217862.\nAnswer: -16217861.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 1 + 1)*(5 - 2 - 1 + 1 + 0 + 2 + (-2 - 2 + 5)*(-1 + 5 - 5)) to the form h*f + g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.3, 1\/2, -2\/87, -277, 1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593093 is divided by 19208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 8135194187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = 4*w - w, 8 = 5*p - w. Let f(i) = 53*i - 305. Let g be f(27). Let t = 1134 - g. Calculate the remainder when t is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 13, 4, -1\/11, 15, -25 in ascending order.\nAnswer: -25, -2\/11, -1\/11, 4, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 211386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**3 + 19*k - 10*k + 6*k**3 - 1 - 7*k as x*k**3 + m*k + t + c*k**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091609243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 7*t - 7. Let g be f(-4). Calculate the greatest common factor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.6. Let g be -2 - ((-5)\/2 - 5) - 5. What is the smallest value in g, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3108 (base 9) to base 6.\nAnswer: 14312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/36 and -59\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (8 - (6 + (-16 - -9))). Suppose 0*j = j - 8217. Suppose 0 = -g*u + j + 44233. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12156.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Suppose m = -v, -4*v + w*v = -3*m - 20. Suppose -v*o = 3*f - 42, -4*f - 13 = o - 2*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -1\/32*s**4 - 1\/24*s**3 + 1\/48*s**6 - 37 + 1\/40*s**5 + 0*s + 0*s**2. Suppose v(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 137. Let h(u) = u**2 - u - 1. Let s(v) = 5*v**2 - v**3 - 3*v**2 - v + 0*v**2. Give a*h(q) + 2*s(q).\nAnswer: -2*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6217\/18 - -656\/9. Let m = -2444\/9 - r. Let k = -180 + 399\/2. Find the common denominator of m and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*i = 32. Put -25, i, 1 in decreasing order.\nAnswer: 1, i, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -36, -0.3, 5, -12, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, 7.7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/5, 2, 2\/3, 64630, 3 in decreasing order.\nAnswer: 64630, 3, 2, 2\/3, -29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00984 take away -1944?\nAnswer: 1943.99016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -58*p + 63*p - 9, -k + 2*p = 2 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12000021 (base 8) to base 5\nAnswer: -1132341312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m - 16. Let r be g(-2). Solve r*x + 18 = 4*s, -2*x + 2*s = x + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5088974 is divided by 179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -756117, -756116, -756115, -756114, -756113?\n\"Answer: m - 756118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4cb77b (base 16) to base 4\nAnswer: 103023131323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565512 + -162?\nAnswer: -566004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.072186 + -0.072. Round q to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263.486*2\nAnswer: -526.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33834, 68094, 102354?\nAnswer: 136614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*2*2\/(-4). Let m = j - -8. Let v = -1 + 5. Solve -2*u + 4 = v*y - 3*u, 4*y - m*u - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 30123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244455441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283.99507 + 284. Round g to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 596?\nAnswer: 15496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 14*n**4 + 911*n + 2590*n**2 + 12*n**3 - 3*n**5 + 18*n**3 - 2*n**5 + 1784*n - 25725 - 79*n**4 = 0.\nAnswer: -7, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*z = 39, 3*a = -0*a + z + 37. Let k = -10 + a. Suppose -4*x = -k*v - 7 - 21, -9 = 3*v. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70.5 + -1.3\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 390, 0, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 4*n + 644 - 644 + 28*n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5349.26l to millilitres.\nAnswer: 5349260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*l - 2 = 0, -2*q + 5*l = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + -1 + (sqrt(72) - (sqrt(72) - (sqrt(72) - (-1 + sqrt(72)))))*6 + sqrt(72))*1)**2.\nAnswer: 2100*sqrt(2) + 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 32*s**2 + 14*s**2 - 35*s**2)*(2842*s + 1 - 5688*s - 568*s**2 + 2845*s).\nAnswer: 31808*s**4 + 56*s**3 - 56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 0 (c) -1\/3 (d) 0.4 (e) 5048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -16.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:48 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 2 + 9)*(4 + k - 4)*(-2 - 1 + 0)*(k + 6*k + 2*k) in the form r + u*k**2 + i*k and give u.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 6, -5, 4, 0, 45, -4 in descending order.\nAnswer: 45, 6, 4, 0, -4, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -1401.\nAnswer: 5\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21*246\/7749)\/((-12)\/2178)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.451 - 0.449. Let w = d + 26. Let n = -0.1 + w. Which is the third smallest value? (a) 0 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304389?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21331300 - 131?\nAnswer: 21331103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**3 + 43*s**2 + 433*s - 3. Let f(m) = -19*m**3 - 84*m**2 - 865*m + 7. Let c(x) = 3*f(x) + 7*w(x). What is the second derivative of c(l) wrt l?\nAnswer: -6*l + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/36)\/(((-1196)\/(-24))\/13)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/19)*k**3*k**(-6)*k*k**(1\/2)\/k assuming k is positive.\nAnswer: k**(-93\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93147 divided by 3.\nAnswer: 31049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*x**3 - 84*x**3 - 31*x**3 - 89*x**3 - 88*x**3 - 88*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 14*b**2 + 2*b + 32. Let g be u(-14). Solve -k + 0 = g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayva when four letters picked without replacement from ayvtva?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (8 + -2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -1\/8*v**2 - 31*v + 0 + 1\/12*v**3 - 1\/48*v**4. Suppose t(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:23 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 494*o**3 - 4077*o.\nAnswer: 2964*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 368579 or 368577?\nAnswer: 368579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-12))\/(91\/546)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26638845.\nAnswer: 3, 5, 71, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 16*j - 8 = 0. Solve -2*l = 3*l - 4*m + 10, 17 = -j*l + 5*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 555?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.28 + 49.58. What is the closest to 1 in 0.5, 4\/27, 0, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2633688.3736 + -2633582.37359919. Let z = f - 106. What is z rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcqeqgcuccqccog. Give prob of sequence ugc.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 2. Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756505733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 + 138.000069. Round n to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.10722 to zero dps.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from yffpffnyfpnfyiyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4*m + 7*i**2*m + 10*i*v - 4*m*v wrt i.\nAnswer: 4*i**3*m + 14*i*m + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 1 - 4*f**2 + 441*f**4 - 439*f**4 - 3*f**2 + 5*f**3 + 6*f**2 as o*f + s*f**3 + y*f**2 + q + t*f**4 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -820 - 4d6?\nAnswer: -d16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -232. Let p = -88 + 202. Let g = p + y. What is the closest to g in -0.5, -1\/6, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28849700?\nAnswer: False","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 {i: 4, w: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - q + 8 = 1, 2*v + 7 = -3*q. What is the third derivative of -19*l**3 - 6*l**3 - 23*l**3 + 4*l**3 - 182*l**2 - l**3 + 3*l**v wrt l?\nAnswer: 72*l - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + w + 1. Let k(h) = -h**3 - 15*h + 7*h - 7*h**2 - 4 + 0 + 7*h. Let y be k(-7). What is the tens digit of o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 311, -587 in decreasing order.\nAnswer: 311, 1, -3, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 - 61 = 9*q + 69*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.731472 rounded to three dps?\nAnswer: -12.731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.6 (c) 398\/7 (d) 49\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 6*v + 876. List the prime factors of v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 42 = -12*i + 284. Suppose -2*b + 6*b - 1384 = 0. Suppose -2*y = -5*d + 542, -y = 3*d + 3*y - b. What is the highest common divisor of d and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405309291 + 1405309291 + v**3 - 6*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 1. Let c = -13.6 - q. Is -0.2 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*p + 6053 - 6103, l - 8 = 2*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 125012819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 6. Let p(o) = -7*o - 13. Calculate 5*h(q) - 2*p(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/7 + 4*s**4 - 132*s**3\/7 + 272*s**2\/7 - 250*s\/7 + 12 = 0.\nAnswer: 1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21625428 by -10812714.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.963 - -0.037. Let w = 53 - p. Which is bigger: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*f**5 + 198*f**5 + 270*f**5 + 110*f**5 + (-5*f + f + 3*f)*(0*f**4 - 3*f**4 + 4*f**4).\nAnswer: 483*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10110101111011010 (base 2) to base 3\nAnswer: 11201202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/(-18)*(-3)\/(-2). Suppose -4*d + i = -81. Let n = -116 + 154. What is the least common multiple of n and d?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0537 or -322128?\nAnswer: -322128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*z + 150629, 2*x - 100408 = 8*z - 5*z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 799 + -794. Which is the closest to -3? (a) -2 (b) t (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 77*o - 130*o + 283*o + 79 = 128 + 106, -4*o = 2*w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 - 4. Let t be c(6). Let g be (-4)\/2*6\/t. Solve -5*k = -g*i + 18, -2*k = 3*k + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-257)\/(614744\/(-322))).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 34*n**2 - 111*n + 13. What is o(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*b**2*z**2 - 100*a**3*b*x**3 - 26*a**2*b**2*x**2*z**2 + 4*a**2*x**3*z**2 - 2*a*b**2*x**3*z**2 - 2*b**2*x**3*z**2 wrt a.\nAnswer: 24*b**2*z**2 - 600*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/8 + 39\/(-52). Let g(l) = -l**3 - 2*l**2 + 2*l + 3. Determine g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kani when four letters picked without replacement from nknjjkjjjaaininujnin?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 181114 and 1096?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - (sqrt(513) + sqrt(513)*-3)\/sqrt(9))\/(2*sqrt(3)*-4)*6 + -2.\nAnswer: -9*sqrt(19)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80, 171, 428, 691?\n\"Answer: 3*v**2 + 242*v - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let o = -1 + 6. Let a(f) = -228*f + 96. Let y(r) = 12*r - 5. Let g(m) = o*a(m) + 96*y(m). Give x(g(v)).\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000254575578 rounded to 7 decimal places?\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 56*u - 1. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21173*n = 21158*n + 165 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/126)\/((-4)\/21) + 45\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317604, -317667, -317836, -318165, -318708?\nAnswer: -319519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 = o, -2*s = 3*o + 9. Suppose -4*p = 20, -a - a + 3*p + 23 = s. Calculate the lowest common multiple of a and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g - 6. Let j(y) = -43*y + 16. Let p(u) = 3*j(u) + 8*m(u). Let s(r) = -4*r**2 - 6*r**2 + 12*r**2 - 6*r**2. Determine s(p(l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50952674*q**2 - 152712*q - 243 wrt q?\nAnswer: -101905348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 16*g + 23. Determine w(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 698844815 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, 9, 155, -222, 3 in decreasing order.\nAnswer: 155, 9, 3, 1, -1, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2066*b*j*w - 5*b*s*w + 2*b*w**3 + 213*b*w**2 + 40*j*s*w + 6*j*w**3 + s + 2*w**3 + 147 wrt j.\nAnswer: -2066*b*w + 40*s*w + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and -721.\nAnswer: -100.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(12\/36 - 17\/(-17)*-13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7932062?\nAnswer: 2, 751, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -706012 or -706013?\nAnswer: -706013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.37*15\nAnswer: 20.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6765 divided by 5?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 2*w**4 + 6*w**3 + 5*w**4)*(-3*w + 5*w - w).\nAnswer: 2*w**5 + 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786508881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-22))\/(-2)*54\/((-1657098)\/1749)\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2. Let l(m) = -m**2. Let y(u) = -11*l(u) - 4*t(u). Let d(p) = -10*p**2. Calculate y(d(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11a + 4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22068045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.596 to 1 decimal place.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**3 - 5*x**3 + 3*x**4 + 5*x**4 + 6*x**4 - 4*x**4 + (2*x**2 + 0*x**2 + 3*x**2)*(-2*x**2 - x**2 + 5*x**2).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*14\/((-14)\/3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + i = -13, -4*o + 17 = -3*i - 0*i. Suppose -4*w = 2*d - 10, o*d - 10 = -0*d. Sort 5, 1, 4, w in increasing order.\nAnswer: w, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 9}. What is prob of sequence zvvv?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50931 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 207939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1535\/33 + 53\/11. Let m be (-211)\/(-4) + (-4)\/(-16). Let g = x - m. Is g <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.69 (c) -0.5 (d) 0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*x - 4*o, 5*o = 5*x - 5 + 15. Let d be (-6)\/(-15) - 66\/(-10). Let r = d - x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 11:56 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324545531 (base 6) in base 10?\nAnswer: 5830687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-45)\/27 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3947 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*s + 278*s - 4370 = 22126 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from cwcwrec?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6 + 110 - 11 = 0. Solve -f*o - 4 = -2*x - 19*o, o - 7 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**4\/15 - 202*y**3\/3 - 260*y**2 = 0 for y.\nAnswer: -15\/4, 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*1*-1581*129\/(-13158)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 997*k - 10215. Calculate w(7).\nAnswer: -3236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5923*r. Let i(b) = 640*b. Calculate i(s(p)).\nAnswer: 3790720*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 21 - 13) + (-2 - -1) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 24. Suppose -9 = -d + 3*x, -5*d + 5*x + 4 + w = 0. Find a, given that d*a**3 + 0 + 0*a + 1\/2*a**4 + 1\/2*a**5 + 0*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345811 + 348377.228. Let g = f - 2692. Let p = 126 + g. What is p rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 3 - r + 3*r - 5*r. Let f(t) = -t**3 - 8*t**2 + 9*t + 4. Let u be f(-9). Let d be p(u). What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x. Let f(g) be the first derivative of g**5\/60 + 10*g**3\/3 + 19. Let j(t) be the third derivative of f(t). Give j(w(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*b - 32, -164*a = -5*b - 155*a + 56 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22086952 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (22\/(-6))\/((-7)\/42).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1164.550574 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = 10*y - 1390. Calculate the greatest common divisor of y and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-4)\/(18 + -2). Which is greater: o or 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 6152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 - 8*l**2 - 51*l?\nAnswer: 20*l**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*n + 22916 = 222*n. Let d = -725 + n. What are the prime factors of d?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8365 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09499 times -4?\nAnswer: 0.37996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v**3 + 5*v**2 - 6*v. Let c(b) = -45*b**3 + 21*b**2 - 24*b. Give -5*c(r) + 21*u(r).\nAnswer: -6*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1288616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 129, -4 in increasing order.\nAnswer: -4, 3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 5*w = -15, 16 = -4*u - 2*w. Let a(x) = -x**3 - x**2 + 16*x - 18. What is a(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*d - 20 + 53 = 0, 4*c + 28 = -4*d. What are the prime factors of 307 - ((-22)\/c + 16\/(-24))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36762141?\nAnswer: 3, 13, 421, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.1, -26 in decreasing order.\nAnswer: 0.1, -21, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2389\/6 + 399. Let q(x) be the third derivative of 0*x + j*x**3 + 1\/3*x**4 + 0 - 2*x**2. Find the first derivative of q(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylyllllllyyly. Give prob of sequence ly.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 24. Suppose 238 = 2*m + 216. Let y be n(m). Find z such that -4\/15 - 6\/5*z**3 - 4\/15*z**y + 8\/15*z**4 + 6\/5*z = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367708 (base 14) to base 4\nAnswer: -13013031230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -4, -1, 6, 2719, 2 in descending order.\nAnswer: 2719, 113, 6, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88893 is divided by 338.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-792)\/(-42))*1848\/588?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63833625?\nAnswer: 3, 5, 23, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*m + 31, a = 5*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 94 + 302 = 4*a, -24*a - 1661 = -31*t - 324 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 42*v + 73. Let c be u(20). Let n(a) = -a**2 + 3*a - 2. Let h be n(3). Let p be (-51)\/h*20\/15. Is p > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11112 is divided by 11101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2155 - 2221*x + 1082 + 1075.\nAnswer: -2221*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + x + 4, 0 = 2*w + x - 4*x - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 71 + -1 + 56\/16*-2. What is the highest common factor of c and 2751?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134831970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -2 - (-173 + 142 - (-16 - 0))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 16. Suppose -3*m + 6 = -6. Let s(i) = 5*i + 8. Let h(t) = -3*t**3 - 17*t**2 + 6*t + 7. Let v be h(-6). Let n(x) = m*a(x) + v*s(x). Give n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 918\/7, -1, 1, -2\/9 in increasing order.\nAnswer: -1, -2\/9, -0.2, 1, 918\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-2\/5))\/b*b*b*b*b*b**5)**50\/((b*b*b*b**(1\/7)*b*b*b)\/b**(-1\/5)*(b*b*(b*b\/((b**(-4)*b)\/b))\/b*b*b)\/b**6) assuming b is positive.\nAnswer: b**(17873\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5345 is divided by 2617?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/5, 24, -2\/11, -11 in increasing order.\nAnswer: -11, -3\/5, -0.4, -2\/11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*t**3 + 7 + 2 + 5*t**3 - 5 wrt t.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412 + 417. Let m(c) = 3*c**2 - 17*c + 20. Let p(t) = 2*t**2 - 11*t + 13. Give s*m(h) - 8*p(h).\nAnswer: -h**2 + 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 3 - 3)*(-2*x + 0 + 0) + (-x**3 - x**3 + 0*x**3)*(0*x + x - 3*x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114 (base 12) in base 16?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 36225?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/15 - 27238*r**2\/15 + 54458*r\/5 - 81678\/5 = 0.\nAnswer: 3, 13613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374355041?\nAnswer: 9239, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) 30 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -25a62a8?\nAnswer: -25a62aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3665*v - 3663*v + 62 = -12*h, 0 = -6*v + 2*h - 34 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*n + 191, 0 = 3*q - 2*n - n + 117. Let p(j) = j**2 + 36*j + 35. Let s be p(q). Solve 0 = -3*t - 5*b + 24, s = -3*t + t + 2*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -823*z**3 - 31250 + 54375\/2*z + 36*z**4 + 4850*z**2 - 1\/2*z**5 = 0. What is z?\nAnswer: -4, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690770618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -783, -6475, -21923, -52005, -101599, -175583, -278835?\nAnswer: -416233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 216841 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6450649132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) 0.28 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2257\/9 - 251. Let p = -39 - -49.5. Let i = -10 + p. What is the third smallest value in f, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t - 11. Suppose -r = -4*a - 11 - 5, -27 = -3*r + 5*a. Calculate the highest common divisor of t and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11647 divided by -1?\nAnswer: 11647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 18 = -5*q, -5*f + 11 = 5*q - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71643 and 17589.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/242 - 1520\/22. Let g = -45 - u. Find y, given that -g - 4*y**2 + 16 + 4*y**2 + 2*y**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/108800 and -137\/17168640?\nAnswer: 85843200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1992 - 65*w - 1990 - 15*w)*(0*w - w + 0*w - 2*w - w + w + 4*w - 3*w + w + (-w + 3*w - w)*(-4 + 3 + 3))*(-2 + 5 - 1) + (w + 2 - 2)*(-2*w - w + 4*w).\nAnswer: -159*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*o**3 - 40*o**5 + 30*o**3 + (-2*o**3 + 3*o**3 - 3*o**3)*(-1 + 2 + 0*o**2 - 3*o**2).\nAnswer: -34*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 5 (c) 2\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/6 + 5*i**3\/6 + i**2 + 308*i. Let b be 1 + (39\/(-9) - 8\/12). Give z(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5102 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46764 (base 10) to base 13.\nAnswer: -18393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 37, -0.16, -57\/8, 0, 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/(-99))\/((-12)\/(-68))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 3263*f**3 + 18157*f**3 - f.\nAnswer: 14894*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 18. Let p = -21.9 + s. What is p rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488 and 6770024.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3682.\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 + i**2\/2 + i. Suppose -2*x = x - 12. Let n be p(x). Solve -2 = -s - n*k, -2*s + 0*k - 5 = k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750131777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002721 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**4 + 5*d**3 + 35*d**2 - d + 957964.\nAnswer: 16*d**3 + 15*d**2 + 70*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ujijiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-24)\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235.2 rounded to the nearest ten?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.7 and 8.55.\nAnswer: 339.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)\/(-3)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1160728477675 and 1.\nAnswer: 1160728477676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*z + 86 = 0, 3*z - 5*z = -5*u + 62. Suppose 0*c + c - 18 = -3*s, -4*c + 37 = 5*s. Suppose 2 = -c*d + u. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -12) + 2*1. Let b(y) = 16*y - 3. Let f be b(3). Suppose -f + 199 = 2*a. What is the greatest common factor of a and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002156813 to five decimal places.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 394912 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2557680 divided by -10.\nAnswer: -255768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -483\/688, 0.3, -1 in ascending order.\nAnswer: -1, -483\/688, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 301341615 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 62164.1 times -0.02\nAnswer: -1243.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002367763 rounded to 7 decimal places?\nAnswer: -0.0023678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*j + 3297 + 5383 - 1896 = -31*j for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzqzzqqzzzqqzzgzzqz. Give prob of picking 2 z and 1 g.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 414102*w - 14290038867.\nAnswer: -3*(w + 69017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 17 = 5*g, -5*k - 2*g = 42 - 52. Sort -599, 1, k in descending order.\nAnswer: k, 1, -599","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201011 + 2020111?\nAnswer: 1112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(704) - sqrt(704))**2*-6.\nAnswer: -16920 + 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 11. Determine y(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let p = 26.2 + -26. Let d = 0 - 1. Which is the nearest to j? (a) -2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x. Let z(s) = s**2 - s - 1. Let g(v) = -12*v**2 + 11*v + 11. Let a be (-16)\/(-6)*198\/24. Let t(h) = a*z(h) + 2*g(h). Give t(b(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/5 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8451, -16918, -25385, -33846, -42295, -50726, -59133?\nAnswer: -67510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7577099566 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 65233.\nAnswer: -1\/65233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6)*9\/6. Suppose -2*u + h*d = 14, 7*d - 18 = -2*u + 4*d. Differentiate -2*g**2 - 5 - 4*g**2 - u + 10 wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*w - w = -10, 2*f = -2*w - 10. Find x, given that f + 2\/5*x + 2\/5*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8)*2*-5. Suppose 18 = -z*b - 2, -w - 2*b = 5. Suppose -10*n + 11609 = w*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*f + 24, s + 3*f + 11 - 3 = 0. Let q = s + 272. What is the highest common divisor of q and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by 22479?\nAnswer: -332\/22479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0*z**3 + 0 + 0*z**5 + 0*z + 0*z**7 - 5\/336*z**8 + 0*z**4 - 93*z**2 + 1\/24*z**6. Find g, given that b(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 22*q + 4. Let t be l(-6). Is -20 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - y + 14, -3*c + 48 = -29*y + 168 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48094600 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*y = 4*j - 3880, 5*j - 3835 = -5*y. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37038 + -5974. Let r = o - 10364. What is r rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000002212111 (base 3) in base 11?\nAnswer: -1223765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/24708 and 145\/18.\nAnswer: 74124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2342 + 6874. Let u be ((-11)\/i)\/((-8)\/6). Let q = 65105\/4944 - u. Find the common denominator of q and 75\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:23 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/24)\/(24\/(-144))*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 3*a. Let i(d) = -3*d**2. Let y(s) = 6*i(s) + 5*q(s). Let c(z) = z. What is -3*c(m) + y(m)?\nAnswer: -3*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*i**2 + 119*i**2 + 359*i**2 - 63*i**2.\nAnswer: 538*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(153) + sqrt(153)*-2)\/sqrt(9))**2 + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138872*r**4 - 28807*r wrt r?\nAnswer: -1666464*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 4*o**4 + 2*o**2 + o**3 - 2*o + o + 5*o**4 + 2 in the form b*o + z*o**2 + t*o**4 + a + n*o**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*j = -31, 4*n + 5*j - 9 = 2*n. Let y be ((-24)\/10)\/(2\/(-10)). Is n\/y*(-69)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 5\/4 (c) -1 (d) 4\/3 (e) -3 (f) 0.1 (g) 0.050047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48180.\nAnswer: 2, 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 203966.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 + 3*h - 3. Let y be w(-2). Let o be (y - 3) + (-93)\/(-3) + -3. Factor -57*d + 9*d**4 + 24*d**2 + 29*d**3 + o*d + 33*d.\nAnswer: d*(d + 1)*(d + 2)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 - 0.36. Let j = x + -0.07. Let z = 4.5 + -4. What is the third biggest value in j, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, m: 2, y: 1, g: 2}. What is prob of picking 3 n?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 59*k. Let g be y(1). Let r(u) = -2*u + 68 - g + 3*u - 2*u. Let n be r(5). Solve -4*z - 3 = n*d + 1, -5*z = 3*d - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (3*sqrt(99) + 0 - sqrt(99) - (-2*sqrt(99)*5 + sqrt(99)))**2 + -3.\nAnswer: 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.9164 times 8?\nAnswer: -351.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 20 = 15*m + 4*a, 4*m + 3*a = 17. Let v(q) = 3*q + 1 + q - q. Calculate the remainder when 96 is divided by v(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207819?\nAnswer: 3, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 30 = 11*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) 5 (c) 3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 180*d**3 - d**2 + 793*d + 1. Let b(u) = -359*u**3 - 1579*u - 2. Let w(t) = 5*a(t) + 2*b(t). Find the second derivative of w(y) wrt y.\nAnswer: 1092*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -24*w + 26*w - p, p - 22 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2017796*w - 10088975. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 348239 - 104609 = 0. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*f + 41. What are the prime factors of f - -57 - 8\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 5*u - 85. Calculate s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2, -5, 0.04, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 105*g**4 + 23497 + 95*g**4 - 23497 + 3*g**2 as q*g + n*g**2 + f*g**4 + z*g**3 + j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303 + 0\/(9\/(27\/(-6)))?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669*t**3 + 672*t**3 - 1343*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*h - 490*h = -f + 55829, -4*h + 223496 = 4*f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 1. Let g(f) = 3*f + 2. Give -4*a(y) + 3*g(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/3, -0.019, -1\/9, 5, 26?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2453 and 4016899.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - 1. Let w = 13 + j. Find u, given that 2\/7*u**w - 4\/7*u + 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066195 rounded to the nearest one thousand?\nAnswer: 1066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19851 is divided by 187?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 8*p + 176. Let j = -35 - p. Suppose -16 = -4*i, 5*o + i = j*i + 136. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369702412?\nAnswer: 2, 41, 2254283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -c + 5 - 21, 2*c + 26 = 5*w. Suppose 0*p + w = 4*j + 2*p, 3*p + 1 = 4*j. Solve j + 1 = 2*l - 4*i, -3*l - 4*i = 27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3140170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77, -105, -149, -209, -285, -377, -485?\n\"Answer: -8*d**2 - 4*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 355 + 38 = -3*y, 2*y - 506 = -4*h. What is the highest common divisor of h and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (2*sqrt(119) - sqrt(119)))*-1)\/(5*1*sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2 + (-4)\/(-8). Calculate the greatest common factor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 0*r)*(1 - 1 + 2) + (23 + 2*r - 44 + 15)*(5 - 1 + 0).\nAnswer: 12*r - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20261 - 19310. Solve -21 = -944*b + p*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 9*g + 3. Let k be u(9). Let i = k + 0. Find the first derivative of -28*r**i + 2 + 46*r**3 - 24*r**3 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22320\/(-32))\/(-45) - (14 + 1))\/(177\/6)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8029, 32067, 72131, 128221?\n\"Answer: 8013*b**2 - b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521591?\nAnswer: 61, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 87*c + 37*c + 53*c + (1 - 2 + 3)*(2*c - 2*c + 2*c) as r + n*c and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 902\/3102 + 2\/47. What is u in u + d*u**2 + 2\/3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701961247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3168, -12836, -28966, -51570, -80660?\nAnswer: -116248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 59. Solve t - 16 = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2002297 - 12*i**2 + 2*i**3 + 2002297 + i**2.\nAnswer: 2*i**3 - 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-18))\/(-19)*1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -0.07 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 14) to base 16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -43. Let s(t) = t**2 - 9*t + 11. Let w be s(8). Suppose -16 = l*b - w*b. Calculate the highest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 11 + 269 = 113*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h + 7. Let m(a) = 10*a**2 - 61*a - 70. Let w(l) = -6*m(l) - 62*y(l). Give w(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 2*g**7\/21 + 11*g**6\/24 - g**5\/4 + 2*g**2. Factor b(d).\nAnswer: 5*d**2*(d + 3)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a6c32 (base 13) in base 8?\nAnswer: -24764123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25238 = 2*k - 3*x, 29*x = 2*k + 21*x - 25208. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 6) + -8 - -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29634598 by 2.\nAnswer: 14817299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 4 - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34183211 and 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 633665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 22*w + w + 19*w - 2*w**2)*(-284 + 19*w + 284).\nAnswer: -38*w**3 - 38*w**2 - 228*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 4208397.\nAnswer: 16833588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmmmjfmjmj. What is prob of sequence mmjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 + 4*r. Let k be m(-6). Let w be k\/2*6\/(-9). Calculate the lowest common multiple of 1 and (6\/w)\/(7\/(-42)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5992, 5991, 5990?\nAnswer: 5989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 110402244?\nAnswer: -110402241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.8. Let l(j) = -j**2 - 7*j - 6. Let a be l(-5). What is the closest to -1\/4 in a, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(768) - (sqrt(768) + 1)) + -3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 11*r + 18. Let m be o(-12). Suppose -m*k = -k. Suppose k = 3*h + 12, -4*w = -6*h + h - 164. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 + -4532363.\nAnswer: -4532360.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1645770 (base 8) to base 10\nAnswer: 478200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t)**(4\/5)\/(t\/(t**(2\/5)\/t))**(-4\/21)*(t**(-4\/9)*(t*(t*t\/(t\/(t*t**2\/t*t)))\/t*t)\/t)\/(t**(1\/6)\/(t\/t**(2\/21))) assuming t is positive.\nAnswer: t**(1889\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 193, -0.2, -5\/6.\nAnswer: -5\/6, -0.2, 1.2, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.4, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 224945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.551 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/2 + 40\/8. Let j(r) = 2*r**2 - 3*r. Let m(a) = -6*a**2 + 8*a + 1. Let p(v) = f*m(v) + 8*j(v). Find the first derivative of p(n) wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31336345 to the nearest integer?\nAnswer: 5598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 9. Let c be o(7). Let u = 2 - c. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**6)\/a**(-23\/5)*(a\/a**(-2\/5))\/((a**(-20)*a)\/a) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -267373?\nAnswer: 534746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z + 1. Let i = 6 - 4. Let c(v) = 2*v - 2. Let m be c(i). What is a(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132 - 131 - (-2 + -93 + 15 + 8 + -16).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 230 = 1070. Let x = f + 120. Let a = -75 - x. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 at least 3092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4520 - -15?\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226796929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -14*b - 161. Calculate r(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32\/((-10)\/(-4)*(-524)\/(-655))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let z(m) = 4*m**3 + 4*m**3 - 7*m**3 + k + 5*m**3. Let y(x) = -x**4 + 5*x**3 + 1. Let p(r) = 6*y(r) - 5*z(r). Differentiate p(t) wrt t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*r - 4*r + 1)*(30 + 15 + 53).\nAnswer: -196*r + 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1674 + -1.3674. Let h = 0.01 + -0.41. Which is the second smallest value? (a) -0.8 (b) h (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let p = 5.3 + -1.9. Let t = p + v. Which is the third smallest value? (a) 0.2 (b) -4\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2478 and 823601709?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**6\/180 + j**5\/30 + 5*j**4\/72 + j**3\/18 - 2*j - 14. Determine t so that h(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3 - 501*w**2 - 999*w + 7593. Let o(j) = 0. What is j?\nAnswer: -333, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = -5*i, 19*i + 15 = 24*i. Solve z = 2*n + l + 10, n - 5*l + 4 = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w, 0 = -3*r + 2*r - w + 4. Let h = 0 + r. Find the common denominator of 1 - h - (-135)\/110 and 21\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 343*o**2 - 1198*o + 4784. Calculate h(-175).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36222403*c**4 - 332*c**2 + 7729*c wrt c?\nAnswer: -869337672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03967586 rounded to five decimal places?\nAnswer: -0.03968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 100. Let l(j) = j**2 + 5*j. Let q(s) = -4*s**2 - 21*s + 1. Let y(a) = w*q(a) - 9*l(a). Let f(n) = n**2 - 8*n + 9. Let m be f(6). Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442787 is divided by 15570?\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5\/2 - 615*u**4\/2 - 19815*u**3\/2 - 55805*u**2\/2 - 27300*u - 9000.\nAnswer: -5*(u + 1)**3*(u + 60)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s**3 - 2*s + 39 - 14 - 7*s**2 - 15. Let q be g(-5). Let l = q + -89673\/61. Is l equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11912 and 5956.\nAnswer: 11912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21676508179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + -101. Differentiate r - 39*u**2 - 22 - 50*u**2 + 108 with respect to u.\nAnswer: -178*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*w**5 - 23954*w**4 + w**3 - 5*w**2 - 84335 wrt w?\nAnswer: 2700*w**2 - 574896*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6*h - 19*h - 6*h - h)*(-36 + 36 + 14*h) in the form v*h**2 + n + u*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 + -1 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33*(-41)\/8118)\/((-9)\/60).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1286 - -1958. Suppose -m = 83*g - 81*g. Let i = 1223 + g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140766662 + -1?\nAnswer: 140766661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v + 466. Let l(n) = -68*n + 930. What is -2*l(x) + 5*p(x)?\nAnswer: x + 470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 123*i - 916. Calculate the smallest common multiple of n(8) and 22.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyyyssywswysyw. What is prob of sequence yww?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*s + 0 - 1 = 0, 14 = 2*y - s. Suppose -3 = -y*j - 3*g + 5*g, 3*j + 15 = -3*g. Sort 0.1, -3, j.\nAnswer: -3, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8815 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 72, -0.05, 5, -1\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 307 = -21*u. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (33 - -2) - (-9 - -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n\/(n*n\/n**14*n*n)))))\/n)\/(n\/(n**3\/n)))**(-46)*(n**(1\/5)\/((n**(-6)*n)\/n))\/(n**7*n*n*n\/n**(-3\/7)) assuming n is positive.\nAnswer: n**(15952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*q + 4 + 5 + 10 - 22 + 2.\nAnswer: -93*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**2 + 45*p**2 + 2*p - p + 0*p.\nAnswer: 21*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 1163*v**3 + 2*v**2 - 18*v + 2614*v**3.\nAnswer: 3777*v**3 + 2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120670.\nAnswer: 2, 5, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161545257, 161545258, 161545259?\nAnswer: 161545260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 28. What is the first derivative of 12 - m*i**3 - i**3 + 27*i - 27*i wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732860855 to the power of 1\/3, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 - 2*b**2 + 9*b + 11. Let g(d) = -d**3 - 6*d**2 - 3*d + 12. Let h be g(-4). Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21142 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 105?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*y**3 - 17\/3*y - 2\/3*y**2 - 44\/9.\nAnswer: (y - 11)*(y + 1)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5633803 is divided by 2816884?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47797 is divided by 412.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(((-21)\/7)\/6)\/((-27)\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -16*i - 97\/20*i**5 + 0*i**3 + 0*i**4 + 81\/2*i**2 + 2. Differentiate y(v) wrt v.\nAnswer: -291*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (8 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -6 + (-4 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + f - 37 = 63, -2*g - 2*f = -48. Suppose -7*h + 95 = -2*h. Suppose 3*l + h = 3*p + 7*l, p - g = 5*l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(171) - sqrt(171)*-1)*1 + sqrt(171)))\/(sqrt(36) - (sqrt(36) - (-2*sqrt(252))\/sqrt(7) - sqrt(36)) - sqrt(36)).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254038*h**3 + 44940*h**3 - 249837*h + 249837*h.\nAnswer: 298978*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((125\/10)\/5*-3)\/(48\/64)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 3*c**4 - 68*c**3\/3 + 20*c**2 - 29. Suppose r(m) = 0. Calculate m.\nAnswer: 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1365)\/78*4\/(-10). Solve 18*o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-14)*u**(-11)*u assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/3)*(c\/(c*c**8*c))\/c*(c**(-1\/3)\/c)**(-24) assuming c is positive.\nAnswer: c**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.4\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -t - 1, 0*y = 2*y - 2*t + 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -15 in decreasing order.\nAnswer: 7, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 10*c - 16. Let l be p(-12). Suppose -9*g + 25 = -l*g. Let h = 16 - g. Do h and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1209572, -4838280, -10886126, -19353110, -30239232, -43544492?\nAnswer: -59268890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*1)*1*5)\/(sqrt(6) - (sqrt(294) + sqrt(294)*-1) - sqrt(18)\/sqrt(12))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**4 + 2*z**3 - 8*z**2 - 4*z - 4. Let o(a) = a**4 - a**3 - a**2 - a - 1. Let w(c) = -4*o(c) + t(c). Let w(g) = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + sqrt(171))**2 - (sqrt(684) + -1*sqrt(684))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -17. Let t = -50 + x. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*c**2 + 100*c**2 - 205*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let t be ((-27)\/96)\/((-6)\/8). Which is the closest to 0? (a) t (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 + 2*y**3 + 5*y**2 + 0*y**3 + 8. Let s(k) be the third derivative of -k**6\/60 - k**5\/30 - k**3\/2 - 2*k**2 - 344*k. Calculate 3*p(x) + 8*s(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21781 and 4025.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + -1)*-1)**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6977, 6948, 6919, 6890, 6861?\nAnswer: 6832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/19378 and 27\/48445.\nAnswer: 96890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 33*g. Let v(l) = -2*l**2. Determine d(v(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68623*c**2*f - 921*c**2 - 10*c*f*u**2 - 787*u**2 with respect to f.\nAnswer: 68623*c**2 - 10*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5350 > 5364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59178*r**3*x - 6*r**3 + r**2*x - 570*r*x - 347*x wrt r?\nAnswer: 355068*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -105*t + 76. Let a be z(-15). Suppose 2*u + a = 3*k - 273, -k = 2*u - 636. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16885073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2 + 0 - 1 - b - 5. What is u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixxixxixxxixiiixxrii. Give prob of picking 2 i and 1 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (28 - 88) + (-6 - -7).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56134 and 35049206.\nAnswer: 4318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172780821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 20 = 5*h, 0 = c + 4*h - 27 + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 - -184. Solve 158*p**4 - 5*p**2 - 153*p**4 + 4 - k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}